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  • Springer  (42,164)
  • 2015-2019
  • 1985-1989
  • 1980-1984  (42,164)
  • 1980  (42,164)
  • 1
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    Bulletin of mathematical biology 42 (1980), S. 131-135 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The theory of complementary variational principles is used to obtain maximum and minimum principles for diffusion problems with Michaelis-Menten kinetics. In an illustrative calculation we obtain an extremely accurate variational solution in good agreement with the numerical solution of McElwain (1978).
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  • 2
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    Bulletin of mathematical biology 42 (1980), S. 137-141 
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  • 3
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    Bulletin of mathematical biology 42 (1980), S. 181-189 
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    Notes: Abstract Necessary and sufficient conditions for primitivity of a product of two Leslie matrices are given. Such a product could be used in modeling the growth of a population governed alternately by two different sets of fertility and survival parameters.
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    Bulletin of mathematical biology 42 (1980), S. 173-180 
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    Notes: Abstract Zadeh's transfer function method for linear time-variable systems is used to apply frequency-domain analysis to a periodically time-varying elastance model of the left ventricle. Left ventricular pressure computed from the system function of the time-varying elastance and the phasors of aortic flow shows a typical waveform of the measured ventricular pressure.
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    Bulletin of mathematical biology 42 (1980), S. 901-901 
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    Bulletin of mathematical biology 42 (1980), S. 147-160 
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    Notes: Abstract A theory of noise fluctuations is developed which is applicable to systems of any size in which unimolecular or bimolecular reactions are occurring. The main difference between small and large reacting systems is that in the former the probability of finding a particle in a particular state does not obey a Gaussian distribution, but satisfies a distribution which reflects the mechanism of the chemical reaction. This difference is reflected in the main result of the theory: an autocorrelation function that is expressible as a sum of exponentials, the amplitudes of which are explicit functions of the moments of the distribution. Thus, by using small systems, the autocorrelation function,in principle, allows the elucidation of reaction mechanisms. Numerical simulations indicate that for reacting systems having ten or fewer particles, the deviation of the autocorrelation function from a single exponential should be easily detectable, and that estimates of the first four moments of the distribution should be possible. Accurate inference of the distribution, however, will require further mathematical and experimental advances.
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    Bulletin of mathematical biology 42 (1980), S. 161-172 
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    Notes: Abstract The recent mathematical formalization of the concepts of matter and extrinsical energy, which are used for the relational representation of biological systems, is employed in the analysis of the important experimental discoveries of Comorosanet al. related to low energy electromagnetic irradiations on enzyme substrates. By means of the present analysis one of the properties inherent to the experimental phenomena is more precisely exposed, and theoretical developments corresponding to “energetical evolutions” in a biological system (Leguizamón, 1976) may now have an experimental basis. Important limitations are introduced for the validity of the commutativity and associativity of cartesian product of sets, when they represent matter and its linked extrinsical energy. In connection with this last aspect, new important knowledge is obtained for the relational mathematical representation of biological systems.
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    Bulletin of mathematical biology 42 (1980), S. 397-429 
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    Notes: Abstract The structure of solutions to a simple spatially dependent population model involving growth and death is investigated. Two forms of motility of the population are considered: (1) random motion only modeled by a Fickian law, and (2) a directed component of motion (chemotaxis), included in addition to the random motion. Under certain growth conditions a traveling wave of constant speed is approached. This speed can be increased by the addition of the chemotaxis with a corresponding increase in the asymptotic population. Development of initial conditions into a wave is illustrated numerically.
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    Bulletin of mathematical biology 42 (1980), S. 365-396 
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    Notes: Abstract This paper describes mechanisms of intracellular and intercellular adaptation that are due to spatial or temporal factors. The spatial mechanisms support self-regulating pattern formation that is capable of directing self-organization in a large class of systems, including examples of directed intercellular growth, transmitter production, and intracellular conductance changes. A balance between intracellular flows and counterflows causes adaptation. This balance can be shifted by environmental inputs. The decrease in Ca2+-modulated outward K+ conductance in certain molluscan nerve cells is a likely example. Examples wherein Ca2+ acts as a second messenger that shunts receptor sensitivity can also be discussed from this perspective. The systems differ in basic ways from recent diffusion models. Chemical transducers driven by membrane-bound intracellular signals can establish long-range intercellular interactions that compensate for variable intercellular distances and are invariant under developmental size changes; diffusional signals do not. The intracellular adaptational mechanisms are formally analogous to intercellular mechanisms that include cellular properties which are omitted in recent reaction-diffusion models of pattern formation. The cellular models use these properties to compute size-invariant properties despite wide variations in their intercellular signals. Mechanisms of temporal adaptation can be derived from the simplest laws of chemical transduction by using a correspondence principle. These mechanisms lead to such properties of intercellular signals as transient overshoot, antagonistic rebound, and an inverted U in sensitivity as intracellular signals or adaptation levels shift. Such effects are implicated in studies of behavioral, reinforcement, motor control, and cognitive coding.
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    Bulletin of mathematical biology 42 (1980), S. 447-459 
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    Notes: Abstract Large radiation doses to the lung can cause early death from cardiopulmonary insufficiency resulting from radiation pneumonitis and pulmonary fibrosis. A model for early death following inhalation of insoluble radioactive particles is propose. The model is based on three assumptions: (1) early death results from damage to a cluster of cells from a large number of cell clusters at risk, (2) the dose that causes early death depends on how the radiation is delivered in time and (3) the cell clusters at risk to damage are equally sensitive ro radiation. Results from asymptotic theory of extreme values, along with biophysical considerations, suggest that the cumultive distribution function for the absorbed radiation dose to the production of pulmonary injury sufficient to cause early death is best estimated by the third asymptotic distribution without a threshold. This distribution function is identical to the Weibull cumulative distribution function. Data for Beagle dogs after inhaling relatively insoluble forms of alpha- or beta-gamma-emitting particles are shown to support the Weibull model.
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    Bulletin of mathematical biology 42 (1980), S. 461-480 
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    Notes: Abstract Models of the human respiratory tract were developed based on detailed morphometric measurements of a silicone rubber cast of the human tracheobronchial airways. Emphasis was placed on the “Typical Path Lung Model” which used one typical pathway to represent a portion of the lung, such as a lobe, or to represent the whole lung. The models contain geometrical parameters, including airway segment diameters, lengths, branching angles and angles of inclination to gravity, which are needed for estimating inhaled particle deposition. Aerosol depositions for various breathing patterns and particle sizes were calculated using these lung models and the modified Findeisen-Landahl computational scheme. The results agree reasonably well with recent experimental data. Regional deposition, including lobar deposition fractions, are also calculated and compared with results based on the ICRP lung deposition model.
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    Bulletin of mathematical biology 42 (1980), S. 481-488 
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    Notes: Abstract The completely symmetrical system is defined as having identical transfer coefficients between pairs of compartments and the same loss coefficient for each compartment. The eigenvalues and eigenvector are explicitly found along with the inverses of the system matrix and the matrix of eigenvectors. Many properties, special instances of more general theorems, can be seen at once from the explicit analytic solution of the initial value, washout and washin problems. The system serves as a known case for testing estimation procedures, algorithms for solutions of linear systems, eigenvalue-eigenvector and inversion routines and is of considerable tutorial value.
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    Bulletin of mathematical biology 42 (1980), S. 431-446 
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    Notes: Abstract The mathematical structures underlying the theories of organismic sets, (M, R)-systems and molecular sets are shown to be transformed naturally within the theory of categories and functors. Their natural transformations allow the comparison of distinct entities, as well as the modelling of dynamics in “organismic” structures.
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    Bulletin of mathematical biology 42 (1980), S. 489-505 
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    Notes: Abstract To explain the sodium conductance change using Wei's dipole model (Wei, 1969), we may expect that during depolarization the dipole's population difference, ΔN, is first reduced and then returns more slowly to its resting value. This paper shows that the experimental results of gating currents support this idea. Such time course of ΔN, however, is not a usual relaxation process. To account for the unusual behavior of ΔN, we propose two additional assumptions: (1) there exists a special coupling system (probably the intramolecular vibrations) whose coupling strength with the dipoles is much stronger than with the thermal bath (intermolecular vibrations), and (2) there also exist “traps” for the dipole's excitation energy so that this energy is transformed into other energy forms at a rate increasing with the increase of depolarization. Experiments suggest that the traps are proteins located at the inner membrane surface.
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    Bulletin of mathematical biology 42 (1980), S. 507-528 
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    Notes: Abstract Current research into the dynamics of iterative ecological and biological models has lead to a number of theorems concerning the existence of various types of iterative dynamical behavior. In particular, much study has been done on the dynamical behavior of the “simplest dynamical system”f b(x)=bx(1−x), which is just the canonical discrete form of logistic growth equations found in ecology, sociobiology, and population biology. In this paper, we make use of some of the techniques and concepts of topological dynamics to construct a number of generalized conjugacy theorems. These theorems are then used to demonstrate that the mappingf b has a number of conjugacy classes in which the dynamics of the iterates is equivalent to within a change of variables. The concepts of fitness and survival in logistic equations are then shown to be independent, if we follow certain intuitive definitions for these concepts. This conclusion follows from a comparison of the conjugacy classes of the functionf b and the extinction sets off b.
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    Notes: Abstract For chemical reactions not at equilibrium but proceeding in the forward direction in the steady state, a result found by a method first introduced by H. G. Britton (1963, 1965) is generalized to prove that if $${{\vec J} \mathord{\left/ {\vphantom {{\vec J} {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftarrow}$}}{J} }}} \right. \kern-\nulldelimiterspace} {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftarrow}$}}{J} }}$$ is the unidirectional flux ratio, $${{\vec J} \mathord{\left/ {\vphantom {{\vec J} {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftarrow}$}}{J} }}} \right. \kern-\nulldelimiterspace} {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftarrow}$}}{J} }}$$ exp (−ΔG/RT). The conditions under which the equality or inequality applies are discussed. If the unidirectional fluxes are not in the steady state, the unidirectional flux ratio is time invariant in certain specific situations. One such important case is for chemical reaction systems with an ordered sequence of reactions. For systems with more than one pathway, $${{\vec J} \mathord{\left/ {\vphantom {{\vec J} {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftarrow}$}}{J} }}} \right. \kern-\nulldelimiterspace} {\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\leftarrow}$}}{J} }}$$ is not constant except for special cases. These results also apply to diffusional and active transport systems.
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    Bulletin of mathematical biology 42 (1980), S. 599-600 
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    Bulletin of mathematical biology 42 (1980), S. 539-549 
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    Bulletin of mathematical biology 42 (1980), S. 551-597 
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    Notes: Abstract The nonlinear second-order difference equationx n+1=axn(1-xn−1), where 0≦x nX≦1 anda ≧1, is examined from varying points of view, analytical, numerical and geometrical. An analytic expression is obtained for an invariant attracting curveC ∞ (a) in phase space, which becomes the central object of study. This basic curve, which replaces the simple parabolic shape typical of many analogous first-order models, may have a complicated geometrical structure. As the parametera increases,C ∞(a) undergoes transformations characterized by the dynamical descriptions: stable node→stable focus→stable limit cycle →chaotic attractor. Although the limited characterization ofchaos by the appearance of nonperiodic solutions and solutions of arbitrarily large period is relied upon, this appears to be only a simplified approximation of the real behavior of solutions. Trajectories (x n, xn+1),n=0,1,…, are calculated using the related nonlinear planar mapT a(x,y)=(y,ay(1−x)), and regions of persistence and escape are described for characteristic values ofa. The study of persistence, of even more fundamental interest than the associated problems of periodicity and stability, receives special attention. We introduce a geometrical model, similar in many respects to that for the well-known analoguex n+1=axn(1−x n), but having several new and important features. It appears that as the parametera increases in the chaotic regime there are infinitely many intermittent bursts of increase in the probability that any initial point (x 0, x1) will persist in the unit square under successive iterations of the mappingT a, an unexpected property that should be of interest for applications. A discussion of the applicability of these results to population dynamics theory is given, and it is suggested that such equations might find useful application to problems in developmental biology as well.
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    Bulletin of mathematical biology 42 (1980), S. 627-645 
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    Notes: Abstract Based on the principle of minimum power, a mathematical model of the functional state of the oxygen transport system is presented. The optimization model minimizes the power expenditure of the heart, bone marrow, lung and other tissues. The model is used to determine the functional parameters of the oxygen transport system in man under both normal and varying barometric pressures. Theoretical results are compared with experimental data.
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    Bulletin of mathematical biology 42 (1980), S. 601-625 
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    Notes: Abstract A quantitative model of ion binding and molecular interactions in the lipid bilayer membrane is proposed and found to be useful in examining the factors underlying such membrane characteristics as shape, sidedness, stability and vesicle size at various cation concentrations. The lipid membrane behaves as a bilayer couple whose preferential radius of curvature depends on the expansion or contraction of one monolayer relative to the other. It is proposed that molecular packing may be altered by electrostatic repulsion of adjacent like-charged phospholipid headgroups, or by bringing two headgroups closer together by divalent cation crossbridging. The surface concentrations of each type of cation-phospholipid complex can be described by simple binding equilibria and the Gouy-Chapman-Stern formulation for the surface potential in a diffuse double layer. The asymmetric distribution of acidic phospholipids in most biological membranes can account for the differential effects of identical ionic environments on either side of the bilayer. The fraction of vesicle material which tends to have a right-side-out orientation may be approximated by a normal distribution about the mean curvature. The theory generates vesicle sidedness distributions that, when fitted to experimental results from human erythrocyte membranes, provide an alternative method of estimating intrinsic cationphospholipid dissociation constants and other molecular parameters of the bilayer. The results also corroborate earlier suggestions that the Gouy-Chapman theory tends to overestimate free counter-ion concentrations at the surface under large surface potentials.
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    Bulletin of mathematical biology 42 (1980), S. 681-689 
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    Notes: Abstract The “yellow strips” on the cuticle of the Oriental Hornet (Vespa orientalis, Hymenoptera, Vespinae), present photoelectric properties. A mathematical model for the relative changes in resistance as a photoconductive process conforms to the general model for a semiconductor with traps.
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    Bulletin of mathematical biology 42 (1980), S. 701-718 
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    Notes: Abstract Damped nonlinear oscillations in biological and biochemical systems are investigated by the extended Krylov-Bogoliubov-Mitropolskii (KBM) method. A review on the extension made by Popov to the KBM method is given and also further improvements are presented. Applications are made to models of oscillating chemical reactions (Lefever and Nicolis, 1971), FitzHugh (1961) equations, and population dynamics (Gatto and Rinaldi, 1977). Comparison to damped oscillating physical and engineering systems is made.
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    Bulletin of mathematical biology 42 (1980), S. 719-728 
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    Notes: Abstract The conditions that will allow the lumping together of several age classes in the Leslie model are investigated. We show that if the lumping is to be valid for all population distributions, then the parameters of the model must be periodic. Lumping is valid when the population is in equilibrium, but equilibrium should be tested before the model is lumped.
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    Bulletin of mathematical biology 42 (1980), S. 647-679 
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    Notes: Abstract Catastrophe theory is a mathematical theory which, allied with a new and controversial methodology, has claimed wide application, particularly in the biological and the social sciences. These claims have recently been heatedly opposed. This article describes the debate and assesses the merits of the different arguments advanced.
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    Bulletin of mathematical biology 42 (1980), S. 765-795 
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    Notes: Abstract Estimates of capillary tracer permeability calculated using multiple indicator data depend upon the particular model adopted to describe blood tissue exchange. The model proposed by Crone (1963) is appropriate when some of the injected tracer diffuses into the tissue but does not return appreciably to the bloodstream before data collection is terminated. Under these conditions extraction of tracer by the tissue depends on a single dimensionless parameter, αcap, defined as the ratio of capillary permeability surface area to water flow. The effects of finite red cell tracer permeability on the Crone model estimate of capillary permeability are examined in the present study. The results indicate that even when back diffusion from the extravascular space is negligible, significant errors in the Crone model estimate can be expected when capillary permeability is relatively high and the ratio of red cell to capillary permeability is less than unity. However, when an aliquot of blood is equilibrated with tracer prior to injection and the dimensionless capillary permeability is relatively low (i.e. αcap ≦ 0.25 for a haematocrit≦50%), the whole blood Crone model estimate of αcap will be within 10% of the actual value, irrespective of red cell permeability. Red cell-plasma exchange for commonly used tracer-organ combinations should not significantly affect Crone estimates of capillary permeability under normal physiological conditions, but may be important in low flow situations.
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    Bulletin of mathematical biology 42 (1980), S. 807-828 
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    Notes: Abstract Assuming truncated ellipsoidal geometry for the right and left ventricles, a model is developed for the myocardium enabling biventricular mechanical behavior to be studied. Employing pressure-volume data taken from normal dog hearts and from hearts in which the pulmonary artery has been banded over periods of 2–40 weeks, it is shown that: (a) right ventricular wall stresses are higher than left ventricular stresses; (b) right ventricular wall stress increases initially to a maximum after 3–4 weeks followed by a decline to normal and even subnormal levels, attaining a minimum value at 32–33 weeks; (c) left ventricular stresses behave in a similar manner, attaining their maximum and minimum levels after 7–8 weeks and 32–33 weeks respectively. These results suggest that surgical or medical therapy in patients with hypertrophied ventricles might be more appropriate during the period of wall stress reduction.
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    Bulletin of mathematical biology 42 (1980), S. 837-845 
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    Notes: Abstract In this paper we describe a mathematical model of the oscillations of the diaphragm which limits the vitreous body from the anterior segment of the human eye after the lens has been removed in a cataract operation. We study the motion of this diaphragm driven by movements of the eye. Firstly, a mathematical statement of the problem is given and then we solve the problem exactly for a given class of eye movements. From the analysis we deduce that significant oscillations of the membrane are driven by saccades and that it is the angular acceleration of the eye which causes these types of oscillations. A numerical example is given.
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    Bulletin of mathematical biology 42 (1980), S. 871-887 
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    Notes: Abstract The Lotka-Volterra system of prey-predator equations is considered with a special type of continuous time delay. In the case of equal diffusion coefficients Hopf’s bifurcation technique is used to show the existence of travelling wave train solutions for the prey-predator system.
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    Bulletin of mathematical biology 42 (1980), S. 861-870 
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    Notes: Abstract A mathematical model of prothrombin activation is being proposed which includes the feedback mechanism of thrombin and the alteration of factor V by thrombin. This model is in good agreement with experimental data for the dependence of the rate of thrombin formation on the concentrations of factors V and X a . In particular, it correctly predicts the existence and location of a maximum in both of these cases.
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    Bulletin of mathematical biology 42 (1980), S. 847-859 
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    Notes: Abstract A new model of the upper tracheobronchial tree is proposed to account for the three-dimensional nature of the airway system. In addition to the tube length, the tube diameter, and the branching angle, the model includes information on the orientation angle of each tube relative to its parent tube. The orientation angle, defined as the angle between two successive bifurcations, is useful for calculating the gravitational inclination of each tube. The information on orientation angle is further used to construct a binary coding system for identifying individual tubes in the airway tree. The proposed model is asymmetrical, but the same principles can be readily used to construct a symmetrical one.
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    Bulletin of mathematical biology 42 (1980), S. 889-897 
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    Notes: Abstract In any control system for which the number of independent controls is smaller than the number of degrees of freedom to be controlled, our choice of control in any state is restricted to a submanifold of smaller dimension than the tangent space. This simple fact has a number of important consequences for questions of biological import; we consider its implications for adaptation, for senescent phenomena and for the determination of tertiary structures of polypeptides through control of certain average properties. We also formulate the Pontryagin Maximum Principle of Optimal control theory in such a way as to inquire whether specific biodynamic systems can be regarded as optimal with respect to rate of accumulation of particular quantities of the system. We find that if this is possible, the quantity in question must play the role of a clock.
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    Bulletin of mathematical biology 42 (1980), S. 899-900 
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    Bulletin of mathematical biology 42 (1980), S. 1-15 
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    Notes: Abstract A computational model to predict deposition of a wide variety of particulate pollutants in several species of mammals is presented. The model incorporates breathing pattern and detailed anatomical models of the respiratory tract based on extensive morphometric measurements of individual airways. The predicted deposition from this general model is in close agreement with observed deposition of monodisperse aerosols in rats. Particle size and density and respiratory breathing patterns are the critical parameters affecting regional deposition.
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    Bulletin of mathematical biology 42 (1980), S. 17-36 
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    Notes: Abstract A theory of antigen-antibody induced particulate aggregation is developed by investigating the stability of model systems of particles. Conditions for the formation of large aggregates are derived by imposing the requirement that at equilibrium a statistically significant number of redundant bonds would occur in a reduced monomer-dimer model system. A relationship is obtained which predicts the fractional agglutination in the reduced dimer system as a function of the antigen, antibody and particulate concentrations: $$\frac{g}{{2f c_0 (1 - g)^{2^ - } }} = \frac{{s_1 }}{r} + \frac{{s_1 s_2 }}{{2!r^2 }} + ... + \frac{{s_1 s_2 ...s_j }}{{j!r^j }},$$ wherec 0 is the initial concentration of monomer,f is a proximity factor,g is the fractional agglutination,s i is the average rate of formation of theith bond from an (i−1)th bound dimer, andr is the average rate of dissociation of a single antibody-antigen bond.
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    Bulletin of mathematical biology 42 (1980), S. 37-56 
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    Notes: Abstract The roles of the concentrations of the three interacting constituents in the aggregation process (antibodies, antigens and particulates) are analyzed in detail. It is shown that the basic equation derived in Part I is consistent over a broad range of conditions with experimental findings previously reported.
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    Bulletin of mathematical biology 42 (1980), S. 57-78 
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    Notes: Abstract A general mathematical model describing the biochemical interactions of the hormones luteinizing hormone releasing hormone (LHRH), luteinizing hormone (LH) and testosterone (T) in the male is presented. The model structure consists of a negative feedback system of three ordinary differential equations, in which the qualitative behavior is either a stable constant equilibrium solution or oscillatory solutions. A specific realization of the model is used to describe the experimental observations of pulsatile hormone release, its experimental suppression, the onset of puberty, the effects of castration, and several other qualitative and quantitative results. This model is presented as a first step in understanding the physicochemical interactions of the hypothalamic-pituitary-gonadal axis.
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    Bulletin of mathematical biology 42 (1980), S. 79-94 
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    Notes: Abstract Based upon the transition rate equation of dipoles in the membrane, we deal with two important aspects of interaction of nerve signals: (1) conditions for nerve excitation and (2) frequency spectrum analysis of nerve impulse. Interrelations between signal amplitudes and frequencies are formulated in detail. There are several important conclusions which can be drawn from our calculations. First, toexcite the nerve, low frequencies are generally more effective than high frequencies. Second, tosedate the nerve (i.e. to suppress undesired activities), high frequencies would suit better. Third, harmonics produced through interactions of nerve signals are not necessarily weaker than the fundamental frequencies. The great significance of our theory is that it indicates in principle the feasibility to alter or rewrite the information contents of a nerve message in our body by applying stimulations of appropriate strengths and frequencies. Thus, the theory provides a physical basis and hence some understanding for a new branch of medicine—neuro therapy such as Nogier's auriculotherapy, Lamy's phonophoresis, Voll's electroacupuncture and the fast rising TENS (transcutaneous electro-neuro stimulation).
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    Bulletin of mathematical biology 42 (1980), S. 107-117 
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    Notes: Abstract A new physical property, called resonance of the B-type is hypothetically attached to the λ =546 nm irradiated crystalline (small) molecules. In this respect an up or down configuration is assumed for those states obtained through irradiation times that are multiples of 5 sec. With these assumptions, the cellular receptors that may detect these states appear to belong to three classes: the up, down and alternatively mixed up-down. Using the classic formalism of eigenvectors and eigenvalues, a simple spectroscopic type of formula is derived, through which all the possible states of the above characteristic may be obtained.
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    Bulletin of mathematical biology 42 (1980), S. 119-130 
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    Notes: Abstract A model of ecosystems with migration is proposed from the viewpoint of flow. This model explains the following two points: (1) How the density-dependent terms in population dynamics arise as a consequence of migration. (2) How the ecosystem exhibits a hierarchy in energy per unit biomass.
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    Bulletin of mathematical biology 42 (1980), S. 143-145 
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    Bulletin of mathematical biology 42 (1980), S. 95-106 
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    Notes: Abstract For precise boundary conditions of biological relevance, it is proved that the steadily propagating plane-wave solution to the Fisher equation requires the unique (eigenvalue) velocity of advance 2(Df)1/2, whereD is the diffusivity of the mutant species andf is the frequency of selection in favor of the mutant. This rigorous result shows that a so-called “wrong equation”, i.e. one which differs from Fisher's by a term that is seemingly inconsequential for certain initial conditions, cannot be employed readily to obtain approximate solutions to Fisher's, for the two equations will often have qualitatively different manifolds of exact solutions. It is noted that the Fisher equation itself may be inappropriate in certain biological contexts owing to the manifest instability of the lowerconcentration uniform equilibrium state (UES). Depicting the persistence of a mutantdeficient spatial pocket, an exact steady-state solution to the Fisher equation is presented. As an alternative and perhaps more faithful model equation for the propagation of certain species properties through a homogeneous population, we consider a reaction-diffusion equation that features a cubic-polynomial rate expression in the species concentration, with two stable UES and one intermediate unstable UES. This equation admits a remarkably simple exact analytical solution to the steadily propagating plane-wave eigenvalue problem. In the latter solution, the sign of the eigenvelocity is such that the wave propagates to yield the “preferred” stable UES (namely, the one further removed from the unstable intermediate UES) at all spatial points ast→∞. The cubic-polynomial equation also admits an exact steady-state solution for a mutant-deficient or mutant-isolated spatial pocket. Finally, the perpetuating growth of a mutant population from an arbitrary localized initial distribution, a mathematical problem analogous to that for ignition in laminar flame theory, is studied by applying differential inequality analysis, and rigorous sufficient conditions for extinction are derived here.
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    Bulletin of mathematical biology 42 (1980), S. 191-220 
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    Notes: Abstract The binding of mono-, di- and trivalent cations to negatively charged surfaces is studied within the framework of a modified Gouy-Chapman equation. For any given combination of ions of the above valences, the existence and uniqueness of the solution for the surface potential is shown. The treatment provides the surface potential and charge density. For a system containing only monovalent and divalent ions, analytical solutions are given. When trivalent ions are also present, a procedure based on numerical integration is described. The distance dependence of the electrostatic potential for planar surfaces is given. The calculations provide the amount of cations tightly bound and the amount trapped in the double layer region. The competition between cations for binding to surfaces is elucidated.
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    Bulletin of mathematical biology 42 (1980), S. 221-238 
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    Notes: Abstract This paper deals with a model describing the behavior of barium-treatedApalysia neurons. The model is represented by a dynamical system, so-called “complete system”, defined in R4 and depending on a small parameter. The study of this system under zero membrane current conditions was performed with the use of the qualitative theory of singular perturbations. We show that this system has a stable periodic solution of the discontinuous type when the small parameter tends to 0+. A reduced system defined in R3, associated to the complete system was also studied: it corresponds to a constant activation of the inward current. We demonstrate that the corresponding hypothetical cell remains silent under zero current conditions.
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    Notes: Abstract In the study of chemical modification of enzymes and other biologically active proteins, plots of fractional residual activity as a function of number of groups modified per enzyme molecule are often used to establish a correlation between the chemical modification and enzyme inactivation reactions and to determine the stoichiometry of the modification reaction. This paper presents a critical examination of the underlying theoretical framework of such graphs. Whereas these plots are usually presented as linear functions, it is shown here that the general equation describing the relationship between inactivation and modification contains an exponential term; therefore, in the general case, the plot is actually a curve. It is suggested that caution be exercised in the interpretation of such plots and that equations such as those derived in the text be used to fit theoretical curves to the data, in order to maximize the information gained from chemical modification experiments.
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    Bulletin of mathematical biology 42 (1980), S. 257-265 
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    Notes: Abstract This communiction argues that so-called “hermaphroditic” tracer systems, which are neither open nor closed, do not exist physically. The argument is based on the assumption that any observable (possibly nonhomogeneous) macroscopic compartment can be approximated by a compartmentC with a finite number of entry points for the tracer, each associated with an abstract subcompartment ofC. It is shown that the “hermaphroditic” property requires that the mean waiting time be infinite in at least one of the subcompartments, or in a subcompartment elsewhere in the system. A subcompartment with infinite mean waiting time must have some sort of memory, of infinite duration, which knows how long a given particle has been retained, however long that is, and thereby determines its probability of departure. Assuming, as seems likely, that no physical basis exists for such an infinite memory, it follows that “hermaphroditic” systems do not exist.
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    Bulletin of mathematical biology 42 (1980), S. 273-274 
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    Bulletin of mathematical biology 42 (1980), S. 275-275 
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    Bulletin of mathematical biology 42 (1980), S. 277-281 
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    Bulletin of mathematical biology 42 (1980), S. 267-272 
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    Notes: Abstract The implication of state space structure on the existence of a repeatable experimentE designed to determine if a states∈L has propertyP or notP is investigated. It is shown that if a state spaceL is connected, then no experimentE is repeatable. This formalism is used to demonstrate that if a propertyP has an associated set of points inL which is dense with dense complement inL, then there exists no repeatable experimentE which can be used to test whethers has propertyP or notP. Other consequences of this formalization are discussed.
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    Bulletin of mathematical biology 42 (1980), S. 282-282 
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    Bulletin of mathematical biology 42 (1980), S. 283-294 
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    Notes: Abstract It has been shown that the resistance of flow and the wall shear increase with the size of the stenosis but these increases are comparatively small due to non-Newtonian behaviour of the blood indicating the usefulness of its rheological character in the functioning of the diseased arterial circulation.
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    Bulletin of mathematical biology 42 (1980), S. 327-337 
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    Notes: Abstract The modern theory of generalized Hamiltonian systems is used to construct a unified canonical description of the linear Lagrangian biodynamics introduced by Kerner.
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    Bulletin of mathematical biology 42 (1980), S. 305-325 
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    Notes: Abstract The purpose of this paper is to justify an asymptotic method developed for the study of peristaltic transport in a tube of arbitrary cross section. Within the framework of long wave approximation, the three-dimensional nonlinear Navier-Stokes equations are reduced to a sequence of two-dimensional linear boundary value problems of Laplace and biharmonic operators. It is shown that, if a Reynolds number is less than some constant, the solution of the approximate equations is indeed an asymptotic approximation to the exact solution of the problem as the ratio of the maximum radius of the tube to the wave length of the peristaltic motion of the wall tends to zero, and the error estimates are expressed inL 2 norms. Furthermore, under the same condition the exact solution is shown to be unique and stable under arbitrary perturbation of spatially periodic disturbance. Application of the stability condition to peristaltic transport in a tube of circular cross section is given.
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    Bulletin of mathematical biology 42 (1980), S. 295-304 
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    Notes: Abstract A mathematical analysis, including existence and uniqueness, is given for some boundary value problems which model the flow of a fluid-solute mixture in a tube which is placed in an interstitium. The model permits an interchange of fluid and solute across the tube walls.
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    Bulletin of mathematical biology 42 (1980), S. 339-364 
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    Notes: Abstract The vertebrate nervous system has topographic interconnections in many parts, known for example as retinotopy, somatotopy, etc. It is plausible that modifiable synapses play an important role in forming and refining these connections together with the sensory experiences. To elucidate the mechanism of topographic organization, we propose a simple model consisting of two nerve fields connected by modifiable excitatory synapses. The model also includes modifiable inhibitory synapses. The behavior of the model is described by a set of simultaneous non-linear integro-differential equations. By analyzing the equations, we obtain the equilibrium solution of topographic connections. It is also proved that a part of the presynaptic field which is frequently stimulated comes to be mapped on a large area of the postsynaptic field so that it has a good resolution.
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    Bulletin of mathematical biology 42 (1980), S. 691-700 
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    Notes: Abstract The steady-state solution of the equations governing substrate exchange between vascular and extravascular compartments separated by a membrane with finite, symmetrical substrate permeability is presented. Substrate removal from the extravascular compartment by Michaelis-Menten saturation type kinetics with negligible diffusion in the axial and instantaneous diffusion in the transverse directions in both compartments are assumed. It is shown that the solution degenerates into known expressions for special linearized and asymptotic cases. The method of solution is also applied to an extension of the original model incorporating autoregulatory feedback effects upon the process responsible for substrate removal.
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    Bulletin of mathematical biology 42 (1980), S. 729-737 
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    Notes: Abstract Global asymptotic stability and equilibrium coexistence is established in two species Lotka-Volterra-type competition when there are time delays in interspecific interaction terms and the intraspecies competition is stronger than the interspecies competition.
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    Bulletin of mathematical biology 42 (1980), S. 739-746 
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    Notes: Abstract The realized (observed) value of Landau’s dominance hierarchy index is examined. Under a model of constant pairwise dominance probabilities, the observed index is shown to be a strongly consistent estimator of the underlying (true) index. However, a large number of encounters between animals is shown to be required in order to reduce bias and variance to practical levels except when the pairwise dominance probabilities are near one.
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    Bulletin of mathematical biology 42 (1980), S. 747-748 
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    Bulletin of mathematical biology 42 (1980), S. 749-749 
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    Bulletin of mathematical biology 42 (1980), S. 751-763 
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    Notes: Abstract The steady state potassium conductance as a function of measured membrane potential difference (p.d.) ϕ of the squid giant axon is corrected for the effect of accumulation of potassium in the periaxonal space. This correction is made on the assumption that several mathematical models of the axon are valid. These are (i) the McIlroy (1975), McIlroy-Hahn (1978) model of membrane conductanceg i(i=K, Na) which is a detailed model of passive transport of ions across the axonal membrane with the aid of mobile, negatively-charged carriers, (ii) the Adelmanet al. (1973) compartmental model of the periaxonal and external bathing-solution spaces, (iii) the enzymatic theory of nervous conduction due to McIlroy (1970 a, b, c), (iv) the Wien dissociative effect of the axolemmic electric field on the weak membrane buffer proposed by Bass and Moore (1968) as a trigger mechanism in nervous excitation and (v) the model (McIlroy, 1979) of the interfacial double-layer p.d.s. which are assumed to exist at the membrane’s surfaces because of the presence of a fixed surface charge. From the correctedg k (ϕ) curves the values of the double-layer p.d.s. of model (v) are deduced and these are shown to lead to a consistent, physically reasonable solution for the distance (approx. 6.8Å) between the fixed surface charges and for the dissociation constants of these sites in their interactions with the ions of the extra-membrane electrolytes. Assuming that the selectivity coefficint of the potassium conducting system for the squid giant axon is approx. 52 it is deduced that the potassium permeability,P ks , of the periaxonal barrier ≈1.37(±0.5)×10−4 cm sec−1 and the thickness of the periaxonal space ≈451±159Å.
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    Bulletin of mathematical biology 42 (1980), S. 797-805 
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    Notes: Abstract The effects of peripheral layer viscosity on physiological characteristics of blood flow through the artery with mild stenosis have been studied. It has been shown that the resistance to flow and the wall shear decrease as the peripheral layer viscosity decreases.
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    Bulletin of mathematical biology 42 (1980), S. 829-836 
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    Notes: Abstract A study was made of Higgins’ model of glycolysis incorporating molecular diffusion of intermediates, utilizing an earlier conjecture due to Landau. Conditions for the existence of asymptotically stable spatio-temporal periodic solutions are obtained.
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    European journal of wildlife research 26 (1980), S. 1-11 
    ISSN: 1439-0574
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    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary At 3-weekly intervals over a period of 13 months, blood samples were taken from the jugular vein of 8 male and 8 female roe deer kept in research enclosures, so that the total of thyroxin (T4 D), T3 U and ureal nitrogen could be established. Once a week the level of activity of the metatarsal glands was recorded by observation. The thyroid gland hormone levels were not dependent upon sex but were higher in the second and third years than in calves (9–17 months). Seasonal differences were observed in the form of higher proportions of T4 in winter, April/May and July. The index free thyroid gland hormone showed no significant seasonal alterations. There is no obvious daily rhythm. No clear relationship between thyroxin content in the blood and activity of the metatarsal glands was discovered. Two-fold high doses of thyroxin did not stimulate production of pheromon noticeably. The level of urea in the blood is somewhat higher in young roe deer than in adults. The level falls in winter and reaches a maximum in summer after the rut. The urea content of blood is inversely correlated to the concentration of thyroxin — it falls as the thyroxin content of the blood rises.
    Abstract: Resumé Afin de déterminer le taux de Thyroxine totale (T4 D), de T3 U et d'Urée, des prélèvements sanguins ont été exécutés, de trois en trois semaines et pendant une période de 12 mois, au niveau de la veine jugulaire de 8 chevreuils mâles et de 8 chevreuils femelles maintenus en enclos. Chaque semaine, le stade d'activité des glandes métatarsales fut noté. La teneur du sang en hormone thyroîdienne était indépendante du sexe de l'animal et était plus élevée du cours de la 2éme et de la 3éme années que chez les chevrillards (9 à 17 mois). Des variations saisonnières de la teneur en T4 dans le sang se manisfestèrent sous forme de pics en hiver, en avril-mai et en juillet. L'indice de l'hormone libre de la glande thyroîde ne présenta aucune variation saisonnière significative. Un rythme quotidien caractérisé n'existe pas. Une relation claire entre la teneur de Thyroxine dans le sang et l'activité des glandes métatarsales n'est pas apparue. La double injection de doses élevées de Thyroxine n'a pas stimulé sensiblement la production de phéromones. Le taux d'Urée sanguine est plus élevé chez les jeunes chevreuils que chez les sujets adultes; on observe en outre une chute au cours de l'hiver et des pointes au cours de l'été aprés le rut. La corrélation entre les taux d'Urée et la concentration de Thyroxine est négative.
    Notes: Zusammenfassung Von 8 männlichen und 8 weiblichen im Versuchsgehege gehaltenen Rehen wurden in 3wöchigem Abstand über einen Zeitraum von 12 Monaten Blutproben aus der Vena jugularis entnommen und damit das Gesamtthyroxin (T4D), das T3U und der Harnstoffstickstoff bestimmt. Wöchentlich einmal wurde durch Beobachtung der Aktivitätsstatus der Metatarsaldrüsen festgehalten. Der Schilddrüsenhormonspiegel war geschlechtsunabhängig, er war im zweiten und dritten Lebensjahr höher als bei den Kitzen (9–17 Monate). Jahreszeitliche Schwankungen wurden bei T4-Blutspiegeln in Form von erhöhten Werten im Winter, April/Mai und Juli beobachtet. Der Index des freien Schilddrüsenhormons wies keine signifikanten saisonalen Veränderungen auf. Eine deutliche Tagesrhythmik besteht nicht. Ein deutlicher Zusammenhang zwischen Thyroxinblutspiegel und Metatarsaldrüsenaktivität war nicht gegeben. Zweimalige hohe Gaben von Thyroxin regten die Pheromonproduktion nicht merklich an. Der Harnstoffblutspiegel ist bei jungen Rehen etwas höher als bei erwachsenen Rehen, er fällt im Winter ab und weist Spitzenwerte im Sommer nach der Brunft auf. Der Harnstoffblutspiegel korreliert mit der Thyroxinkonzentration invers, er fällt mit steigendem Thyroxinblutspiegel.
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    European journal of wildlife research 26 (1980), S. 11-22 
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    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary 1. Inquiries made in Lower Austria during two consecutive breeding periods and on two fixed days between (November, January) provided data about disperion pattern and breeding success of the Common Buzzard in different landscapes on a basis of average (1977) and high (1978) density of the Common Vole. 2. During all seasons the local population density is determined by the distribution of woods and open countryside and by the density of the Common Vole. In sparesly wooded areas woods can be densely populated by relatively many breeding-pairs, but their number is limited by the prevailing density of the Common Vole which has an influence on the extent of the Buzzard's individual cruising radius. In woodland habitats the presence of the Common Buzzard depends on the availability of suitably large open areas sufficiently rich in prey. During winter, the snow cover can cause the population to fluctuate, although the influence of the habitat on the local population density continues even during these periods. 3. The siting of eyries affects the difficulty of procuring prey. A poor supply of prey necessitates the eyrie being built near the edge of the woodland. 4. Eyries near the edge of the woodland and eyries in deciduous trees seem to be unfavourable for buzzards breeding early in the year. Microclimatic circumstances could play a role in this. 5. Breeding succes is determined by the efficiency of procuring food and the place of the eyrie with regard to the cruising radius. 6. The population of Common Buzzard which was studied is functioning successfully as regards self-regulation.
    Abstract: Resumé 1. Des enquêtes réalisées en Basse-Autriche au cours de deux périodes successives de couvaison et de deux journées intermédaires (novembre, janvier) ont permis de recueillir des données sur le mode de dispersion et sur les succès de l'élevage chez la Buse variable (Buteo buteo) dans différents sites et lors d'années avec densités moyennes de souris (1977) et fortes densités de souris (1978). 2. En toutes saisons les densités locales sont déterminées par la répartition „forêt-paysage ouvert“ et par l'abondance des souris. Dans des régions à faible taux de boisement la densité des couples nicheurs peut être relativement élevée, leur nombre étant cependant limité par le rayon d'action individuel, lequel est déterminé par l'abondance des souris. Dans les régions forestières, la densité de la Buse dépend de la présence de surfaces dégagées plus étendues et également plus riches en proies. Au cours de la mauvaise saison, l'enneigement peut déterminer des variations d'effectifs mais l'influence de la configuration du paysage sur les densités de population locales ne disparait pas pour autant. 3. La situation des aires de nidification est une question d'efficacité de la prédation. Une efficacité prédatrice moindre amène les oiseaux à installer leurs aires en bordure de la forêt. 4. Des aires installées en bordure de la forêt ou encore dans des feuillus constituent de toute évidence des situations défavorables pour la Buse, dont la période de nidification est précoce. A cet égard, des facteurs de micro-climat pouraient jouer un rôle. 5. Le succès de l'élevage des jeunes est déterminé par l'efficacité de l'approvisionnement alimentaire et par la situation de l'aire en relation avec le rayon d'action. 6. La population des buses étudiée ici se trouve dans une phase d'auto-régulation effective.
    Notes: Zusammenfassung 1. In Niederösterreich durchgeführte Erhebungen in zwei aufeinanderfolgenden Brutperioden und an zwei dazwischenliegenden Stichtagen (November, Januar) haben Unterlagen über Dispersionsmuster und Aufzuchterfolge beim Mäusebussard(Buteo buteo) in verschiedenen Landschaftssituationen bei durchschnittlichen (1977) und hohen (1978) Feldmausdichten erbracht. 2. Zu allen Jahreszeiten sind die lokalen Siedlungsdichten durch die Verteilung von Wald und offener Landschaft und durch das herrschende Feldmausangebot bestimmt. In waldarmen Gebieten können Waldflächen von relativ vielen Brutpaaren besiedelt werden, ihre Zahl ist aber durch die von der herrschenden Feldmausdichte beeinflußte Ausdehnung der individuellen Aktionsräume limitiert. In Waldlandschaften ist das Vorkommen von Mäusebussarden vom Vorhandensein entsprechend großer und ausreichend beutereicher offener Flächen abhängig. Im Winterhalbjahr kann Schneebedeckung Bestandsverschiebungen bedingen, der Einfluß der Landschaftssituation auf die lokalen Siedlungsdichten bleibt aber auch in diesen Perioden erhalten. 3. Die Lage der Horststandorte ist eine Frage der Effizienz der Beutebeschaffung. Geringe Fangeffizienzen erzwingen waldrandnahe Horststandorte. 4. Waldrandnahe Horststandorte und Horste in Laubbäumen sind für den jahreszeitlich früh brütenden Mäusebussard offensichtlich ungünstig. Mikroklimatische Faktoren können dabei eine Rolle spielen. 5. Der Aufzuchterfolg wird durch die Effizienz der Nahrungsbeschaffung und durch die Situation des Horststandortes in bezug zum Aktionsraum bestimmt. 6. Die untersuchte Population des Mäusebussards befindet sich im Stadium einer funktionierenden Selbstregulation.
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    European journal of wildlife research 26 (1980), S. 41-44 
    ISSN: 1439-0574
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary A six-years-old asparagus bed was partially cleared of weeds and the development of the yield in the following year was traced. Even the highest level of damage (cutting back 40 cm each week) brought about no loss in comparison with the control (weeds up to 230 cm high). More stems were formed, with a lower individual weight.
    Abstract: Resumé Dans une culture d'asperges âgée de 6 ans, l'effet de l'élimination partielle de la végétation adventice sur l'évolution de la production au cours de l'année suivante a été observé. Même le traitement le plus énergique — recoupe hebdomadaire jusqu'à 40 cm — n'entraîna aucune perte par rapport à la parcelletémoin où la végétation adventice atteignait jusqu'à 2.30 m de hauteur. Un nombre accru de tiges fut obtenu, dont le poids individuel était cependant plus faible.
    Notes: Zusammenfassung In einer sechsjährigen Spargelanlage wurde das Kraut teilweise entfernt und die Ertragsentwicklung im Folgejahr verfolgt. Selbst die stärkste Schädigungsstufe (jede Woche Rückschnitt auf 40 cm) brachte im Vergleich zur Kontrolle (Kraut bis 230 cm hoch) keine Verluste. Es wurden mehr Stangen ausgebildet, die ein geringeres Einzelgewicht hatten.
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    European journal of wildlife research 26 (1980), S. 45-47 
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    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary The skull of a one-year-old knobber with a short jaw was compared with a normal skull. Thereby it was found that the bones of the front skull (os lacrimale, os incisivum, os nasale and os maxillare) were much too small. The brain-case had roughly the normal dimensions.
    Abstract: Resumé On compare un crâne brachygnathe d'un brocard d'un an avec un crâne normal: les os de la face — en particulier ceux du larmier, de l'intermaxillaire, du nez et des maxillaires supérieurs — apparaissent sensiblement trop petits. Les os des capsules crâniennes présentaient une conformation nornale.
    Notes: Zusammenfassung Ein Schädel mit Kurzkiefrigkeit eines einjährigen Knopfbockes wird einem Normalschädel gegenübergestellt. Dabei erwiesen sich die Knochen im Gesichtsschädel — vor allem das Tränen-, Zwischenkiefer-, Nasen- und Oberkieferbein — als wesentlich zu klein. Die Knochen der Gehirnkapsel hatten etwa die normalen Größenverhältnisse.
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    European journal of wildlife research 26 (1980), S. 54-60 
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    European journal of wildlife research 26 (1980), S. 61-66 
    ISSN: 1439-0574
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary From 1976 to 1979, 150 stomach/intestinal tracts and 250 faeces of raccoon (Procyon lotor [L.]) from North-Hessen and adjoining areas of North-Rhine Westphalia were examined on the basis of their food content. In each case, approximately one third of the food components were vertebrates, invertebrates and plants. Seasonal differences in the prey material can be detected.
    Abstract: Résumé De 1976 à 1979, le contenu alimentaire de 150 tractus digestifs et de 250 échantillons de matière fécale de ratons laveurs (Procyon lotor [L.]) récoltés dans le Nord de la Hesse et dans les régions limitrophes de Rhénanie-Westphalie a été analysé. Les Vértébrés, les Invertébrés et les végétaux se partagent chaque fois approximativement le tiers du contenu stomacal. Des variations saisonnières des quantités de proies sont décelables.
    Notes: Zusammenfassung Von 1976 bis 1979 wurden 150 Magen-Darm-Trakte und 250 Losungen des Waschbären (Procyon lotor [L.]) aus Nordhessen und angrenzenden Teilen von Nordrhein-Westfalen auf ihren Nahrungsinhalt untersucht. Annähernd jeweils ein Drittel der Nahrungsanteile entfallen auf Wirbeltiere, Wirbellose und Pflanzen. Jahreszeitlich bedingte Schwankungen der Beuteanteile sind naclizuweisen.
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    European journal of wildlife research 26 (1980), S. 72-75 
    ISSN: 1439-0574
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary The author describes a set of elk antlers unearthed in 1928 5 km north-west of Trzemeszno within the boundary of the village of Łukaszewko in Poland. According to the formula of the International Hunting Council for Game Preservation (Conseil International de la Chasse), 478.3 points should be awarded: according to that of the Boone and Crockett Club, 217 2/8 points. The head is compared with the best trophies from European, Asian and American elk.
    Abstract: Résumé Description est donnée d'un bois d'Elan retrouvé lors de fouilles en 1928 à 5 km au Nord-Ouest de Trzemeszno dans le canton du village de Lukazewsko en Pologne. Ce bois ateint, selon la formule du Conseil International de la Chasse, une cote de 478,3 points, et, selon la formule du Boone et Crockett-Club, une cote de 217 points 2/8. Ces bois sont comparés avec les trophées-records des différentes aires de dispersion de l'Elan en Europe, en Asie et en Amérique.
    Notes: Zusammenfassung Beschrieben wird ein 1928 5 km nordwestlich von Trzemeszno in der Gemarkung des Dorfes Łukaszewko in Polen ausgegrabenes Elchgeweih, für das nach der Formel des Internationalen Jagdrates zur Erhaltung des Wildes 478,3 Punkte, nach der Formel des Boone und Crockett Clubs 217 2/8 Punkte errechnet wurden. Verglichen wird das Geweih mit den Spitzentrophäen aus europäischen, asiatischen und amerikanischen Elchvorkommen.
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    European journal of wildlife research 26 (1980), S. 95-97 
    ISSN: 1439-0574
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary The paper describes a roe buck (Capreolus capreolus L.) with “peruque” antlers of unusual dimensions. The skull with antlers weighed 6,070 gr. in the natural state and 2,020 gr. after drying.
    Abstract: Resumé Description est faite d'un Chevreuil (Capreolus capreolus L.) dont les bois, en perruque, présentent un développement exceptionnel. A l'état naturel, le poids du crâne surmonté des bois en perruque atteint 6070 gr., après séchage, 2020 gr.
    Notes: Zusammenfassung Beschrieben wird ein Rehbock (Capreolus capreolus L.) mit einem Perückengehörn von außerordentlichen Abmessungen. Das Gewicht des Schädels mit der Perücke betrug im natürlichen Zustand 6070 g, nach dem Austrocknen 2020 g.
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    European journal of wildlife research 26 (1980), S. 75-84 
    ISSN: 1439-0574
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    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary Experiments were made to study the age determination in wildlife, particularly in the roe(Capreolus capreolus L.) with the aid of experimental gerontology methods. The results obtained were correlated with those achieved by conventional age determination (external marks of the teeth, serial layers of cementum of the teeth and dry-weight of the eye lens). The results of most experiments reflect changes in the stabilisation of collagen fibres and collagen cross linking. The following tissues were studied: ear cartilage, ear skin and flexor tendon. Alteration of the solubility of collagen in neutral salt and citrate buffer: Solubility was studied with collagen from skin and cartilage. The decrease corresponded well with the different ages of donor animals. Differential thermal analysis was done with skin and cartilage: Denaturing temperature increased by 9–10° Kelvin with increasing age for skin and cartilage. Test of the tensile strenghth with flexor tendon revealed significant differences between tendons derived from animals with different ages. It increased constantly with age.
    Abstract: Résumé Tant sur le plan écologique que sur le plan économique la faune sauvage suscite un intérêt croissant. Dès lors, la détermination de l'âge revêt de plus en plus d'importance, non seulement chez les espèces domestiques et de laboratoire mais aussi chez les espèces d'animaux sauvages. En appliquant des méthodes de gérontologie expérimentale on a tenté d'indiquer de nouvelles voies qui pourraient s'avérer profitables pour l'étude des phénomènes de vieillissement chez les animaux sauvages. Chez le Chevreuil (Capreolus capreolus L.) on a examiné les modifications, en fonction de l'âge, du tissu conjonctif de la peau de l'oreille, du cartilage de l'oreille et dans le tendon fléchisseur. Afin de subdiviser le matériel expérimental en classes d'âge, une détermination de l'âge a été effectuée sur base de caractères externes de la dentition, de la stratification cémentologique des molaires et du poids sec des cristallins oculaires. L'aspect de plus en plus réticulé du collagène a pu être mis en évidence de façon particulièrement claire par la diminution progressive de la solubilité du collagène dans les fractions solubles dans un sel neutre et dans le citrate de la peau et du cartilage de l'oreille. En outre, une thermoanalyse différentielle, effectuée sur la peau et le cartilage de l'oreille, a montré que l'augmentation, en fonction de l'âge, de la température de dénaturation de ces deux tissus, déterminait une stabilisation croissante du collagène. Un test de résistance à la traction des tendons de l'extrémité antérieure montre des différences significatives en fonction de l'âge.
    Notes: Zusammenfassung In ökologischen und wirtschaftlichen Bereichen erhalten Wildtiere eine immer größer werdende Bedeutung. Daher erscheint auch die Alterskenntnis und Altersbestimmung nicht nur bei Haus- und Laboratoriumstieren, sondern auch bei Wildtieren von großer Wichtigkeit. Es wurde versucht, durch die Anwendung von Methoden der experimentellen Gerontologie neue Wege für die Alterskenntnis in der Wildtierforschung aufzuzeigen. Vom Reh (Capreolus capreolus L.) wurden altersabhängige Bindegewebsprozesse in der Ohrhaut, im Ohrknorpel und in der Beugersehne untersucht. Um das Untersuchungsmaterial in Altersgruppen einteilen zu können, wurde eine Altersbestimmung nach äußeren Merkmalen des Gebisses, der schichtweisen Anlagerung des Zahnzements und nach dem Trockengewicht der Augenlinsen durchgeführt. Die zunehmende Quervernetzung des Kollagens konnte besonders deutlich im kontinuierlichen Verlauf der abnehmenden Löslichkeit des Kollagens in den neutralsalzlöslichen und zitratlöslichen Fraktionen der Ohrhaut und des Ohrknorpels aufgezeigt werden. Weiters wurde bei der Ohrhaut und beim Ohrknorpel eine Differential-Thermoanalyse vorgenommen. Auch hier konnte durch die Erhöhung der Denaturierungstemperatur mit zunehmendem Alter in diesen beiden Geweben eine zunehmende Stabilisierung des Kollagens aufgezeigt werden. An Beugersehnen der Vorderextremität wurde ein Sehnenreißtest durchgeführt. Die Reißzeit zeigt mit zunehmendem Alter signifikante Unterschiede.
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    European journal of wildlife research 26 (1980), S. 126-132 
    ISSN: 1439-0574
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary In a wild boar enclosure in Austria, one individual several years old was observed smell marking and defending food. Apples were smell marked with urine and saliva. Young animals did not eat this food after having tested it by sniffing, although the marking ♂ did. The wild boar defended his feeding ground against men. In the process, he showed in a weaker or ritualised form behavioural patterns from the innate characteristics of parading, threatening and fighting. In addition, there is a report of an old boar in which acoustic impulses (the noises of a food container being used by another boar) triggered off a demonstration of rank and appropriation at the feeding ground. This trigger was more forceful than „avoidance of the enemy“. Mention is made of a case of imitation and learning in the overcoming of an obstacle.
    Abstract: Résumé Dans un parc à sangliers situé en Autriche un sanglier mâle adulte a été observé lorsqu'il procédait à des marquages olfactifs et lorsqu'il défendait sa nourriture. Des pommes furent marquées olfactivement au moyen d'urine et de salive. Contrairement au mâle en question, des sujets juvéniles n'ont pas absorbé cette nourriture apreast en avoir goûté par voie olfactive. Le verrat défendit son lieu de nourrissage contre les humains. A cette occasion il manifesta, sous une forme atténuée ou ritualisée, un comportement spécifique de défi, de menace et de combat. On fait également état d'une démonstration de rang social et d'appropriation sur une aire de nourrissage par un sanglier mâle âgé déclenchée par des stimuli acoustiques simulant le bruit provoqué par l'utilisation de mangeoires par d'autres sangliers. Ce déclencheur était plus puissant que l'„évitement d'un ennemi“. On signale un cas d'imitation et d'apprentissage lors du franchissement d'un obstacle.
    Notes: Zusammenfassung In einem österreichischen Wildschweingatter wurde ein mehrjähriger Keiler beim Duftmarkieren und Verteidigen von Futter beobachtet. Mit Harn und Speichel wurden Äpfel geruchlich markiert. Jungtiere haben dieses Futter nicht verzehrt, nachdem sie es olfaktorisch geprüft hatten, wohl aber das markierende ♂. Gegenüber Menschen verteidigte der Keiler seinen Futterplatz. Dabei zeigte er in abgeschwächter od. ritualisierter Form Verhaltensweisen aus dem innerartlichen Imponier-, Droh- und Kampfverhalten. Es wird ferner berichtet über einen alten Keiler, bei dem akustische Reize, die Geräusche eines von anderen Wildschweinen benutzten Futterbehälters, eine Rang- und Inbesitznahmedemonstration am Futterplatz auslösten. Dieser Auslöser war stärker als die „Feindvermeidung“. Ein Fall von Nachahmung und Lernen bei der Überwindung eines Hindernisses wird erwähnt.
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    European journal of wildlife research 26 (1980), S. 159-161 
    ISSN: 1439-0574
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary Pathological-anatomical examination of dead new-born seals in the Elbe estuary established that the seal foetus swallows some of the embryonic hair (Lanugo) disposed of within the uterus before birth. These swallowed hairs contribute to the first faeces or meconium. In this connection, the causes of intestinal blockade are discussed with regard to environmental disturbances in the seal nurseries.
    Abstract: Résumé Lors de l'examen pathologique des morts-nés du Phoque de l'estuaire de l'Elbe, il a pu être montré que le foetus de Phoque avale, avant la mise-bas, des parties du pelage laineux embryonnaire (lanugo) abandonné dans l'espace intrautérin. Ces poils digérés constituent un des éléments du méconium. Dans ce contexte sont discutées les causes d'un comportement de ce méconium eu égard aux modifications de milieu observées près des bancs de sable fréquenté par le Phoque.
    Notes: Zusammenfassung Bei der pathologisch-anatomischen Untersuchung von verendeten neugeborenen Seehunden aus dem Elbeästuar konnte nachgewiesen werden, daß der Seehundfetus Teile der intrauterin abgestoßenen Embryonalbehaarung (Lanugo) vor der Geburt abschluckt. Diese abgeschluckten Haare werden zum Bestandteil des Darmpechs oder Mekoniums. Es werden in diesem Zusammenhang die Ursachen für eine Darmpechverhaltung unter Berücksichtigung von Umweltstörungen im Bereich der Seehundbänke diskutiert.
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    European journal of wildlife research 26 (1980), S. 153-158 
    ISSN: 1439-0574
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary From a fallow enclosure of over 20 hectares stocked with 40 animals (bucks, adult and 2-year-old does, fawns), 10 were to be removed either for transfer to other enclosures or for sale. The escape distance of the animals was so great that the task in hand could not be achieved by means of an airgun or compressed air rifle (reliable ranges 15 and 30 m respectively). With the administering of Diazepam by mouth, the escape distance could be reduced to 10 – 20 m, and sometimes less, so that a Xylazin-Ketamin mixture designed to immobilise could be used without difficulty. The general difficulties of oral medication and its effects were described in detail as well as unforeseen incidents. It was established that a dose of 30 – 40 mg Diazepam per kg of live-weight was sufficient for the required sedation.
    Abstract: Résumé Dans le but d'un transfert dans un autre enclos et pour les besoins d'une vente un prélèvement de 10 animaux — parmi les 40 que comptait un enclos à daims de plus de 20 ha — a été organisé. La distance de fuite des animaux était tellement grande que ce projet ne put être réalisé au moyen d'une sarbacane (dont la portée efficace se situe entre 15 et 30 m). Par administration orale de Diazepam la distance de fuite a put être ramenée à 10 à 20 m — voire parfois à une moindre distance encore — de telle sorte qu'un composé de Xylazine — Cétamine put être administré sans difficultés. Les difficultés générales de la médication orale de même que les effets et incidents probables sont décrits de façon détaillée. Il fut constaté qu'une dose de 30 à 40 mg de Diazepam par kg de poids du corps suffisait pour obtenir la sédation nécessaire.
    Notes: Zusammenfassung Aus einem über 20 ha großen Damwildgatter, besetzt mit 40 Tieren (Hirsche, Alt- und Schmaltiere, Kälber) sollten zwecks Umsetzung in andere Gatter sowie zum Verkauf 10 Tiere entnommen werden. Die Fluchtdistanz des Wildes war so groß, daß mittels Blasrohr bzw. Blastrohrgewehr (sichere Reichweiten 15 bzw. 30 m) die gestellte Aufgabe nicht zu erfüllen war. Durch peroralen Einsatz von Diazepam war die Fluchtdistanz der Stücke auf eine Entfernung von 10 bis 20 m, z. T. darunter, zu reduzieren, so daß ein Xylazin-Ketamin-Gemisch zur Immobilisierung ohne Schwierigkeiten zu applizieren war. Die generellen Schwierigkeiten der peroralen Medikation sowie Wirkungen und Zwischenfälle wurden eingehend beschrieben. Es wurde festgestellt, daß eine Menge von 30 bis 40 mg Diazepam kg/Kgw zur notwendigen Sedierung ausreicht.
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    Mathematical programming 19 (1980), S. 300-312 
    ISSN: 1436-4646
    Keywords: Equilibrium Prices ; Nonconvex Mathematical Programming ; Shadow Prices
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In this paper a definition is proposed for the concept of shadow prices in nonconvex programming. For a nonlinear program with equality and inequality constraints, existence of these prices and bounds for their possible values are obtained under the Mangasarian—Fromowitz regularity condition. Their exact values and some continuity properties are obtained under the more restrictive linear independence regularity condition. A definition of equilibrium prices is also proposed. Under convexity assumptions, all definitions and results coincide with those already known on this subject in convex programming.
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    Mathematical programming 19 (1980), S. 313-327 
    ISSN: 1436-4646
    Keywords: Retrogressing Paths ; Homotopy Method ; Fixed-point Algorithm
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    Topics: Computer Science , Mathematics
    Notes: Abstract For certain functionsf fromR n toR n , the Eaves—Saigal algorithm computes a path inR n × (0, 1] which converges to a zero off. In this case, it is shown that even whenf is of classC ∞ and has a unique zero, the converging path may retrogress infinitely many times.
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    Mathematical programming 18 (1980), S. 186-196 
    ISSN: 1436-4646
    Keywords: Weber's Problem ; Weiszfeld's Method ; Optimal Location
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    Topics: Computer Science , Mathematics
    Notes: Abstract For solving the Euclidean distance Weber problem Weiszfeld proposed an iterative method. This method can also be applied to generalized Weber problems in Banach spaces. Examples for generalized Weber problems are: minimal surfaces with obstacles, Fermat's principle in geometrical optics and brachistochrones with obstacles.
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    Mathematical programming 18 (1980), S. 84-88 
    ISSN: 1436-4646
    Keywords: Complementary Pivot Algorithms ; Triangulations ; Vector Labels ; Borsuk's Theorem on Antipodal Points
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In this short note a simple and constructive proof is given for Borsuk's theorem on antipodal points. This is done through a special application of the complementary pivoting algorithm.
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    Mathematical programming 18 (1980), S. 110-110 
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    Mathematical programming 18 (1980), S. 155-168 
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    Keywords: Constrained Optimization ; Differential Equation ; Global Solution ; Nonlinear Programming
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    Notes: Abstract A new method is presented for finding a local optimum of the equality constrained nonlinear programming problem. A nonlinear autonomous system is introduced as the base of the theory instead of usual approaches. The relation between critical points and local optima of the original optimization problem is proved. Asymptotic stability of the critical points is also proved. A numerical algorithm which is capable of finding local optima systematically at the quadratic rate of convergence is developed from a detailed analysis of the nature of trajectories and critical points. Some numerical results are given to show the efficiency of the method.
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    Mathematical programming 18 (1980), S. 215-227 
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    Keywords: Frank—Wolfe Theorem ; Quadratic Programming ; Norm Coercive Functions ; Polyhedral Sets
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    Notes: Abstract The Frank—Wolfe theorem states that a quadratic function, bounded below on a nonempty polyhedral convex set, attains its infimum there. This paper gives sufficient conditions under which a function either attains its infimum on a nonempty polyhedral convex set or is unbounded below on some halfline of that set. Quadratic functions are shown to satisfy these sufficient conditions.
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    Mathematical programming 18 (1980), S. 248-273 
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    Keywords: Legendre Transform ; Stationary Points ; Convex Functions ; Duality
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    Notes: Abstract In this work non-convex programs are analyzed via Legendre transform. The first part includes definitions and the classification of programs that can be handled by the transformation. It is shown that differentiable functions that are represented as a sum of strictly concave and convex functions belong to this class. Conditions under which a function may have such representation are given. Pseudo duality is defined and the pseudo duality theorem for non linear programs with equality constraints is proved. The techniques described are constructive ones, and they enable tocalculate explicitly a pseudo dual once the primal program is given. Several examples are included. In the convex case these techniques enable the explicit calculation of the dual even in cases where direct calculation was not possible.
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    Mathematical programming 18 (1980), S. 286-290 
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    Keywords: Facility Location ; Steiner's Problem ; Location on the Sphere
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    Notes: Abstract This note describes the nature of optimal solutions for the spherical Steiner-Weber location problem for the case of unit weights and either 3 or 4 demand points (requireing 4 demand points to lie in an open hemisphere). Geometrically appealing results which are necessary conditions for optimum solutions and spherical analogs of known planar results are obtained.
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    Mathematical programming 18 (1980), S. 62-67 
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    Keywords: Economic Interpretation ; Mathematical Programming ; Duality ; Stochastic Programming
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    Notes: Abstract The purpose of this note is to interpret a class of stochastic programming problems in economic terms. The primal stochastic program is shown to represent a certain production program of an entrepreneur. The dual program, which is also a stochastic program, represents the problem of a contractor who desires to purchase the entrepreneur's resources and sell product back to him.
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    Mathematical programming 18 (1980), S. 138-145 
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    Keywords: Set-covering Problem ; Branch and Bound ; Lower Bounds ; Steiner Triple Systems
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    Notes: Abstract Fulkerson et al. have given two examples of set covering problems that are empirically difficult to solve. They arise from Steiner triple systems and the larger problem, which has a constraint matrix of size 330 × 45 has only recently been solved. In this note, we show that the Steiner triple systems do indeed give rise to a series of problems that are probably hard to solve by implicit enumeration. The main result is that for ann variable problem, branch and bound algorithms using a linear programming relaxation, and/or elimination by dominance require the examination of a super-polynomial number of partial solutions
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    Mathematical programming 18 (1980), S. 228-228 
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    Mathematical programming 18 (1980), S. 232-232 
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    Mathematical programming 18 (1980), S. 308-329 
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    Keywords: Polytopes ; Linear Programming
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    Notes: Abstract This paper provides answers to several questions raised by V. Klee regarding the efficacy of Mattheiss' algorithm for finding all vertices of convex polytopes. Several results relating to the expected properties of polytopes are given which indicate thatn-polytopes defined by “large” numbers of constraints are difficult to obtain by random processes, the expected value of the number of vertices of polytope is considerably less than Klee's least upper bound the expected performance of Mattheiss' algorithm is far better than Klee's upper bound would suggest.
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    Computing 24 (1980), S. 341-347 
    ISSN: 1436-5057
    Keywords: Numerical analysis ; Volterra integral equations of the second kind ; stability
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    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Ziel dieser Arbeit ist es, die Stabilitätseigenschaften einer Klasse Volterrascher Integralgleichungen zweiter Art zu untersuchen. Unsere Behandlung ist der üblichen Stabilitätsanalyse ähnlich, in der die Kernfunktionen zu einer im voraus beschränkten Klasse von Testfunktionen gehören. Wir haben die Klasse der “endlich zerlegbaren” Kerne betrachtet. Stabilitätsbedingungen werden abgeleitet und verglichen mit den Bedingungen für die einfache Testgleichung. Es zeigt sich, daß die neuen Kriteria einschränkender sind als die konventionellen Bedingungen. Der praktische Wert wird getestet durch numerische Experimente mit der Trapezregel.
    Notes: Abstract The purpose of this paper is to analyse the stability properties of a class of multistep methods for second kind Volterra integral equations. Our approach follows the usual analysis in which the kernel function is a priori restricted to a special class of test functions. We consider the class of finitely decomposable kernels. Stability conditions will be derived and compared with those obtained with the simple test equation. It turns out that the new criteria are more severe than the conventional conditions. The practical value is tested by numerical experiments with the trapezoidal rule.
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    Meteorology and atmospheric physics 29 (1980), S. 197-204 
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    Topics: Geography , Physics
    Description / Table of Contents: Zusammenfassung In früheren Untersuchungen langer atmosphärischer Wellen von niedriger Frequenz in der polaren Atmosphäre wurden Zylinderkoordinaten angewendet, wobei die Ebenez=0 die Erdoberfläche am Pole berührt. Dabei wurde mittels numerischer Beispiele gefunden, daß die in Zylinderkoordinaten erhaltenen Resultate gute Annäherungen an die mit Kugelkoordinaten berechneten darstellen. Hier wird gezeigt, daß die Formeln für die Wellenfrequenzen in beiden Koordinatensystemen angenähert gleich sind.
    Notes: Summary In earlier studies of long low-frequency atmospheric waves in the polar atmosphere a cyclindrical coordinate system had been used with the planez=0 tangential to the earth's surface at the pole. It had been found by numerical examples that the results obtained with a cylindrical coordinate system approximate quite well those obtained with a spherical coordinate system. Here, it is shown that the formulae for the wave frequencies in both coordinate systems are the same to a good degree of approximation.
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    Meteorology and atmospheric physics 29 (1980), S. 269-277 
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    Description / Table of Contents: Zusammenfassung Es werden die Auswirkungen der Einbeziehung der vertikalen Scherung in das Problem der stetigen Strömung einer nichtviskosen rotierenden und geschichteten Flüssigkeit um ein isoliertes topographisches Hindernis besprochen. Es wird gezeigt, daß bei Baroklinität in der fern von dem Hindernis ungestörten Strömung, bei dem hier betrachteten Parameterbereich, ein antizyklonaler an das Hindernis gebundener Wirbel erzeugt wird, ähnlich wie im Fall ohne Scherung aber mit durch die Scherung modifizierter Intensität. Im besonderen nimmt, wenn die Geschwindigkeit der Grundströmung mit der Höhe zunimmt, die Intensität des Wirbels im Vergleich zum barotropen Fall wegen der horizontalen Advektion potentieller Temperatur ab. Für den Fall einer geringen Größe der Hindernisse werden analytische Lösungen gebracht.
    Notes: Summary The effects of inclusion of vertical shear in the problem of steady flow of an inviscid, rotating and stratified fluid past isolated topography are discussed. It is shown that the presence of baroclinicity in the undisturbed flow far from the obstacle, in the parameter range considered here, produces an anti-cyclonic vortex bound to the obstacle, like in the unsheared case, but whose intensity is modified by the shear. In particular, if the velocity of basic flow increases with height, the intensity of the vortex is decreased with respect to the barotropic case, because of the horizontal advection of potential temperature. Analytical solutions are presented in the case of small amplitude obstacles.
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    Meteorology and atmospheric physics 29 (1980), S. 205-217 
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    Description / Table of Contents: Zusammenfassung Mit Hilfe approximierter ageostrophischer Windkomponenten und iterativer Integration in einem quasi Lagrangeschen System werden Trajektorien abgeleitet. Die Verifikation erfolgt an Hand der Verlagerung charakteristischer Wolkensysteme mittels Satellitenbilder.
    Notes: Summary Trajectories are computed with the help of approximated ageostrophic windcomponents and the iterative integration method in a quasi Lagrangian system. The displacement of distinctive cloud systems localized from satellite images is used for verification.
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    Meteorology and atmospheric physics 29 (1980), S. 219-233 
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    Description / Table of Contents: Zusammenfassung Es wird ein Parameter zur Feststellung des Minimalbereiches der übergeostrophischen Komponente der zonalen Strömung in einem westlichen Jet Stream aus der Bedingung bestimmt, daß eine geostrophische Bewegung nur in stabil geschichteten Medien möglich ist. Die Größe des übergeostrophischen Zonalwindes im Kerngebiet eines durchschnittlichen westlichen Jet Stream mittlerer Breiten wurde bei nahe von 60% der beobachteten zonalen Windgeschwindigkeit festgestellt. Die durch diese übergeostrophischen Zonalwindkomponenten verursachten nicht geostrophischen Querzirkulationen werden als thermisch indirekt und für die Entwicklung von einigen beobachteten Erscheinungen wie der Jet Stream Front, der Unterbrechung der nördlichen Tropopause quer zum Kern und der Clear air turbulence-Zonen in bestimmten Regionen eines westlichen Jet Stream als günstig erwiesen.
    Notes: Summary A parameter, for determining the minimum super-geostrophic component of zonal flow in a westerly jet stream, was identified, by invoking the condition that geostrophic motion is possible only in stably stratified media. The magnitude of super geostrophic zonal wind in the core region of an average mid-latitudinal westerly jet stream was found to be nearly 60% of the observed zonal wind speed. The non-geostrophic transverse circulations induced by this super-geostrophic zonal wind components were shown to be thermally indirect in nature and favourable for the formation of some of the observed features like jet stream front, break of the northern tropopause across the core and CAT (clear air turbulence) zones in certain regions of a westerly jet stream.
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    Meteorology and atmospheric physics 29 (1980), S. 249-267 
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    Description / Table of Contents: Zusammenfassung Mit Verwendung von in der zweiten Phase der Venezueler internationalen meteorologischen und hydrologischen Experimente (VIMHEX-1972) gesammelten Radar-Daten wurde eine Klassifikation von Unwettern in Böenlinien, in Gewittergruppen und in isolierten Gewittern vorgenommen. Die Verhältnisse in der nahen Umgebung während des Vorrückens dieser Typen von Unwetter werden untersucht. Die Modifikation der Umgebung wird, abgeleitet aus der trocken-statischen Energie, aus der feucht-statischen Energie, aus dem latenten Wärmegehalt und aus den relativen Winden, ebenfalls studiert und ein für die Unwetter entwickeltes Modell wird vorgelegt. Schließlich werden einige Aspekte der Bewegung der Unwettergebilde beschrieben.
    Notes: Summary A classification of storms in squall lines, thunderstorm clusters, and isolated thunderstorms was made using radar data collected during the second phase of the Venezuelan International Meteorological and Hydrological Experiments (VIMHEX-1972). The near-environmental conditions in advance of these types of storms are examined. The modification of the environment, as deduced from the dry static energy, moist static energy, latent heat content and relative winds is also studied, and a conceptual model for the storms is presented. Finally, some aspects of storm movement are described.
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    Meteorology and atmospheric physics 29 (1980), S. 235-247 
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    Description / Table of Contents: Zusammenfassung Die Untersuchung wurde an einem äquivalenten barotropen Modell zum Studium der Stabilität des meridionalen Windes im 200 mb-Niveau im Sommer in den Tropen durch-geführt. Das von Wiin-Nielsen für mittlere Breiten eingeführte äquivalente Modell wurde mit einigen Änderungen auch für die Tropen angenommen. Es wurde gefunden, daß der meridionale Wind einer Anzahl von überlagerten Rossby-Wellen äquivalent ist, so daß sich das Stabilitätsproblem der meridionalen Strömung auf das Stabilitätsproblem von Rossby-Wellen zurückführen läßt. In der vorliegenden Untersuchung wurde die Stabilität einer Rossby-Welle mit einer Störung, die einen zonalen Wind ergibt, geprüft. Es wurde gefunden, daß kurze Rossby-Wellen instabil sind, so daß die kurzen Rossby-Wellen ihre kinetische Energie auf den zonalen Wind übertragen. Das von Lorenz hinsichtlich der Instabilität der Rossby-Welle für mittlere Breiten gewonnene Ergebnis wurde mit dem äquivalenten barotropen Modell verbessert.
    Notes: Summary The present study is conducted in the equivalent barotropic model to study the stability of meridional wind at 200 mb level in tropics during summer. The equivalent barotropic model, which was introduced by Wiin-Nielsen [1] for midlatitude, is accepted for tropics after some possible changes. The meridional wind is found to be equivalent to a number of superposed dispersive Rossby waves, so the stability problem of meridional flow reduces to the stability problem of Rossby waves. In the present study, the stability of single Rossby wave is tested with a perturbation which gives zonal wind. It is found that the short Rossby waves are unstable, so the short Rossby waves release their kinetic energy to the zonal wind. Thus, the short waves of the spectral meridional flow release their kinetic energy to the zonal wind. For midlatitude, Lorenz's problem regarding the instability of Rossby wave is improved using the equivalent barotropic model.
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    Meteorology and atmospheric physics 29 (1980), S. 279-299 
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    Topics: Geography , Physics
    Description / Table of Contents: Zusammenfassung Es werden die monatlichen und jahreszeitlichen Mittel, die Extreme und die Veränderlichkeit des Meereises der Süd-Hemisphäre aufgrund 5jähriger Beobachtungen untersucht. Seine Veränderlichkěit ist am größten in den geographischen Längen der Küsteneinbuchtungen der Antarktis; es wurde auch eine kleine aber allgemeine Abnahme seiner Ausdehnung in allen Jahreszeiten dieser Beobachtungsperiode festgestellt. Zum Maximum der Eisausdehnung (Juli bis November) nimmt das 5jährige Mittel der zonalen Westwinde im Norden des Eises mit zunehmender Eisausdehnung zu; in einzelnen Jahren besteht jedoch zum Maximum der Eisausdehnung keine deutliche Korrelation zwischen der zonal gemittelten Eisausdehnung und der Stärke der zonalen Westströmung im vorhergehenden oder folgenden Monat. Der Vergleich mit dem 5jährigen Mittel der Längenverteilung der atmosphärischen Druck-Maxima und Minima in der Breite des antarktischen Trogs weist allgemein auf Asymmetrien im Eisrand hin, derart, daß er in Gebieten mit häufigem Tiefdruck weiter nördlich liegt und veränderlicher ist und in Gebieten mit relativ hohem Druck weiter südlich liegt. Die Untersuchung einer spezifischen Längenzone zeigt, daß die Verteilung der Eisausdehnung deutlich regional ist und offenbar mit Änderungen in der kombinierten ozeanischen und atmosphärischen Zirkulation in den antarktischen Einbuchtungen in Beziehung steht.
    Notes: Summary The monthly and seasonal means, extremes and variability of the Southern Hemisphere sea ice are examined for a five year period. Its variability is found to be greatest in the longitudes of the Antarctic coastal embayments, and a small but general decline in extent at all seasons throughout the period is observed. At near maximum ice extent (July to November), the 5 year mean of the zonal westerlies to the north of the ice increases with increasing ice extent; however for individual years, at maximum ice extent, there is no clear correlation between zonally averaged ice extent and the strength of the zonal westerlies in the preceding or succeeding month. Comparison with the 5 year mean longitudinal pattern of atmospheric pressure maxima and minima at the latitude of the Antarctic trough points generally to asymmetries in the ice edge, such that it is further north and more variable in regions of frequent low pressure, and further south in regions of relatively high pressure. Examination of a specific longitudinal zone indicates that the pattern of ice extent is clearly regional, and apparently related to variations in the combined oceanic and atmospheric circulation particularly in the Antarctic embayments.
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    Meteorology and atmospheric physics 29 (1980), S. 327-332 
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    Description / Table of Contents: Zusammenfassung Die Maximalwellen energiereicher Erdbeben mit Herd in der oberen Kruste rufen im äußeren Schütterbereich häufig Resonanzeffekte hervor, die eine örtliche Steigerung der Bebenintensität zur Folge haben. Eine Bewertung solcher Intensitäten nach den gebräuchlichen makroseismischen Skalen ist derzeit nicht möglich. Geht man davon aus, daß die primären Bebenwirkungen an der Erdoberfläche eine Folge der vom Bebenherd abgestrahlten Schwingungsenergie sind und daß die makroseismische IntensitätI (oMSK oder MM) ein logarithmisches Maß für die Bebenwirkungen ist, dann gilt offenbarI=log10 E+const, wennE die örtliche Energiestromdichte (Flächendichte der seismischen Energie) ist. Während im Epizentralbereich wegen der Unregelmäßigkeit der Erdstöße ausgeprägte Resonanzeffekte fehlen, muß man in herdfernen Gebieten, wo die Sg-Maximalwellen des Bebens schon weitgehend harmonisch sind, bei schwingungsanfälligen dünnen Bodenschichten und/oder Bauwerken mit entsprechender Eigenperiode Resonanzschwingungen erwarten, die eine Anhebung der lokalen Bebenintensität um ΔI (oMSK oder MM) bewirken. Mit Hilfe von empirischen Näherungsformeln kann man zu einer Abschätzung dieser Intensitätssteigerung kommen. Sie beträgt ΔI=0,28M s+0,4, mitM s als Oberflächenwellen-Magnitude. Die von der Epizentraldistanz und Magnitude abhängigen Resonanzfrequenzen liegen in der Regel zwischen 0,5 und 2 Hz. Die denkbare Intensitätssteigerung durch Resonanz im Falle eines Bebens der Magnitude 4,0 (7,0) liegt bei 1,5° (2,4°) MSK oder MM. Daraus folgt z. B., daß viele der in Hochhäusern bemerkten und mitI=IIo bewerteten Beben eigentlich mitI=Io zu klassifizieren sind und daß das Anschlagen kleiner Glocken oder das Stehenbleiben von Pendeluhren am Rande des Schüttergebietes eines energiereichen Bebens nichtI=Vo (−VIo), sondernI=IIIo (−IVo) entspricht. Die 12teiligen makroseismischen Skalen sind daher in entsprechender Weise zu ergänzen.
    Notes: Summary In the epicentral area of an earthquake with the focus within the upper crust the rocking is irregular and therefore resonance effects are lacking, but far off the hypocentre, where theSg maximum waves are nearly sinusoidal, thin layers of soil and/or buildings with an appropriate natural period react with resonance oscillations, by which the local macroseismic intensity is increased by ΔI (oMSK or MM). The resonance frequencies — functions of magnitude and hypocentral distance — mostly range from 0.5 to 2 Hz. The increase of intensity can be assessed by the aid of the formula ΔI=0.28M s+0.4, found by the author (M s=surface wave magnitude). Hence, in case of an earthquake withM s=4.0 (7.0) the marginal increase of intensity by resonance amounts to 1.5° (2.4°) MSK or MM. This implies, e. g., that many earthquakes perceived in tall buildings and considered asI=IIo has to be classified asI=Ic correctly, and the ringing of small bells or the stopping of pendulum clocks in the outskirts of the shaken area of a strong earthquake corresponds toI=IIIo (−IVo), and not toI=Vo (−VIo). A valuation of such intensities by the aid of the usual macroseismic scales is not possible, and therefore these scales are to be supplemented in an appropriate way.
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    Meteorology and atmospheric physics 29 (1980), S. 67-87 
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    Description / Table of Contents: Zusammenfassung In einem Artikel von Garrat ([5], S. 915), der sich zusammenfassend und kritisch mit der jüngsten Forschung über die aerodynamische Reibung über einer Wasseroberfläche auseinandersetzt, heißt es: “Die Auswirkungen des Fetches, der Dauer und der Unstetigkeit eines Windes sind unbekannt und verstecken sich wohl hinter der Streuung der experimentellen Resultate”. In unserem Artikel ist ein Versuch unternommen worden, vorhandene Resultate von Experimenten am Genfersee auf eine Fetchabhängigkeit zu untersuchen. Dabei wird eine funktionelle Beziehung zwischen dem lokalen Reibungs- oder Widerstandskoeffizienten,C 10, und einer Fetch-Reynoldszahl, (U 10 F)/ν, mit einer dimensionslosen Rauhigkeit,F/y 0, als Parameter vorgeschlagen. Weiter wird gezeigt, daß eine Beziehung zwischen dem Rauhigkeitsparameter und dem Seegang (ausgedrückt als signifikante Welle,H 1/3) möglich ist. Diese Studie sollte als Vorstudie angesehen werden; sie diente unter anderem als Grundlage für ein größeres aerodynamisches Projekt am Genfersee.
    Abstract: Résumé Dans un article récent sur le coefficient de frottement, Garrat ([5], p. 915) laisse supposer que «les effets du fetch, de la durée et de la variabilité du vent s'ils existent, demeurent obscurs dans la dispersion des données expérimentales». Dans cet article, on essayera d'analyser l'éventuelle dépendance du fetch sur les données obtenues au cours des campagnes de mesures sur le Léman. On admettra qu'une relation entre le coefficient de frottement local,C 10, et le nombre de Reynolds de fetch,(U 10 F)/ν, existe, avec la rugosité adimensionelle,F/y 0, comme paramètre. Puis on discutera de l'éventuelle relation entre le paramètre de rugosité et l'état de surface du lac (exprimé ici en fonction de la vague significative). Cette étude est à considérer plutôt comme un travail préliminaire à l'établissement d'un nouveau programme expérimental projeté sur le Léman.
    Notes: Summary In a recent review on the drag coefficient, Garrat ([5], p. 915) pointed to the fact that “The effect (if any) of the fetch, wind duration and unsteadyness remains obscure in this experimental data scatter”. The present paper makes an attempt to analyse, in the light of a fetch dependency, data which have been accumulated on the Lake of Geneva. Postulated is a possible functional relationship between the local drag coefficient,C 10, and a fetch Reynolds number, (U 10 F)/ν, with a dimensionless roughness,F/y 0, as parameter. Subsequently, a possible relationship between the roughness parameter and the sea state (expressed presently with the significant wave) is discussed. The present study should be considered as preliminary in as much as it served to establish another field programme on Lake Geneva.
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