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  • Articles  (13,407)
  • Springer  (13,407)
  • Springer Science + Business Media
  • 1980-1984  (13,407)
  • 1925-1929
  • 1983  (13,407)
  • Biology  (13,407)
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  • Articles  (13,407)
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  • 1980-1984  (13,407)
  • 1925-1929
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  • 1
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    Bulletin of mathematical biology 45 (1983), S. 287-293 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract We postulate that the biomass distribution function for an ecological population may be derived from the condition that the biomas diversity functional is maximal subject to an energetic constraint on the total biomass. This leads to a biomass distribution of the form $$p(m) = \bar m^{ - 1} \exp ( - m/\bar m)$$ , where $$\bar m$$ is the mean biomass per individual. The same condition yields a unique value for the biomass diversity functional. These predictions are tested against fishery data and found to be in good agreement. It is argued that the existence of a unique value for biomass diversity may provide a preliminary theoretical foundation for the observed upper limit to species diversity.
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    Bulletin of mathematical biology 45 (1983), S. 311-321 
    ISSN: 1522-9602
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    Notes: Abstract Pigment distribution presages hydranth regeneration in the marine hydroidTubularia. We suggest that such a distribution could result from a reaction-diffusion system. A model system based on a practical reaction scheme is studied and spatial structures found which closely resemble this pigment distribution. Finite-amplitude spatial structures in reaction-diffusion systems are considered. Whereas in one spatial dimension the final structures are normally very similar to the transient patterns which emerge from a linear analysis, it is shown that in more than one dimension this is not necessarily the case. The reasons for this are discussed.
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    Bulletin of mathematical biology 45 (1983), S. 409-424 
    ISSN: 1522-9602
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    Notes: Abstract An analytical model is used to described the behavior of inhaled particulate matter in the human respiratory tract. Three different geometries, symmetric and asymmetric, are utilized to simultate the tracheobronchial (TB) tree. The suitability of each geometry for representing the human is evaluated by comparing calculated aerosol deposition probabilities with experimental data from inhalation exposure tests. A symmetric, dichotomously branching pattern is found to be a reliable description of the TB tree for studies of factors affecting aerosol deposition in the human lung. Calculations with the theoretical model are in excellent agreement with measured aerosol deposition efficiencies. Furthermore, the model accurately predicts experimentally observed features of inhalation exposure data, such as effects of inter-subject lung morphology differences and relative efficiencies of specific deposition mechanisms, on aerosol deposition patterns in the TB tree.
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    Bulletin of mathematical biology 45 (1983), S. 436-436 
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    Bulletin of mathematical biology 45 (1983), S. 437-437 
    ISSN: 1522-9602
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    Bulletin of mathematical biology 45 (1983), S. 579-590 
    ISSN: 1522-9602
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    Notes: Abstract In this paper we are concerned with problems of the long-term behavior for nonlinear systems in random environment. The general model is assumed to be given by an ordinary differential equation with random parameters or random input. The disturbance process can be taken from a fairly general class of Markov processes having a bounded state space. In terms of the system’s dynamics we give sufficient conditions for the existence and uniqueness of invariant probabilities. Finally, we apply these results to the two-dimensional biochemical model which is known as the Brusselator.
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    Bulletin of mathematical biology 45 (1983), S. 571-577 
    ISSN: 1522-9602
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    Notes: Abstract In various applications one faces the problem of estimating a signal from discontinuous observations. For example, in biomedical applications the signal may be the ‘state’ of a given organ and one observes through an external counter the amount of radioactivity sequestered by the organ after injection of a radioactive tracer. Here the problem is studied in the context of nonlinear filtering when the signal can be modelled as either a random variable or a diffusion process, and the observations have a continuous and a purely discontinuous component; both components may be affected by the signal. When the signal is a random variable an explicitly computable solution is obtained; for the diffusion case the solution is given as a sequence of approximating filters that can be computed recursively.
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    Bulletin of mathematical biology 45 (1983), S. 627-634 
    ISSN: 1522-9602
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    Notes: Abstract Eigenvalue problems arise in various biological models. We outline a useful comparison method and a technique using Lyapunov functions that can be applied in many cases. An application to lateral diffusion is discussed.
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    Bulletin of mathematical biology 45 (1983), S. 605-616 
    ISSN: 1522-9602
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    Notes: Abstract This paper reviews, up to their recent developments, two types of models of the cell cycle: those considering the size controls over the cycle events and the transition probability models. The distribution of inter-mitotic time and the sister-sister and motherdaughter correlations implied by the two approaches are discussed in view of some relevant experimental data.
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    Bulletin of mathematical biology 45 (1983), S. 617-626 
    ISSN: 1522-9602
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    Notes: Abstract The development of a blood cell line originating from a pluripotent stem cell pool is modelled by a chain of multidimensional branching processes in which the sojourn times of the cells in certain resting states depend on the size of the following subpopulation. The stability of such a model is discussed qualitatively and some considerations concerning a possible malignant degeneration are presented. The behaviour of models for normal and malignant cell production are illustrated by stochastic stimulations. The model presented here describes the development of a certain line of blood cells (e.g. erythrocytes, monocytes or granulocytes) originating from the pluripotent stem cell up to the functional cell in the blood (for related models see, e.g., Rubinow and Lebowitz,J. math. Biol. 1, 87–225;Biophys. J. 16, 897–910).
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    Bulletin of mathematical biology 45 (1983), S. 635-641 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract This paper reviews some recent advances in single population stochastic differential equation growth models. They are a natural way to model population growth in a randomly varying environment. The question of which calculus, Itô or Stratonovich, is preferable is addressed. The two calculi coincide when the noise term is linear, if we take into account the differences in the interpretation of the parameters. This clarifies, among other things, the controversy on the theory of niche limiting similarity proposed by May and MacArthur. The effects of correlations in the environmental fluctuations and statistical methods for estimating parameters and for prediction based on a single population trajectory are mentioned. Applications to fisheries, wildlife management and particularly to environmental impact assessment are now becoming possible and are proposed in this paper.
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    Bulletin of mathematical biology 45 (1983), S. 643-658 
    ISSN: 1522-9602
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    Notes: Abstract A survey is given of the application of (functions of) continuous-time Markov chains in the statistical analysis of behavioural time series.
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    Bulletin of mathematical biology 45 (1983), S. 659-659 
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    Bulletin of mathematical biology 45 (1983), S. 661-664 
    ISSN: 1522-9602
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    Notes: Abstract This paper demonstrates that there is one and only one solution to a non-linear singular two-point boundary-value problem which describes oxygen diffusion in a spherical cell. Previous authors have calculated numerical results that differ substantially. Numerical computations using the multiple shooting method support the results of McElwain.
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    Bulletin of mathematical biology 45 (1983), S. 665-720 
    ISSN: 1522-9602
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    Notes: Abstract The mathematics of distance geometry constitutes the basis of a group of algorithms for revealing the structural consequences of diverse forms of information about a macromolecule's conformation. These algorithms are of proven utility in the analysis of experimental conformational data. This paper presents the basic theorems of distance geometry in Euclidean space and gives formal proofs of the correctness and, where possible, of the complexity of these algorithms. The implications of distance geometry for the energy minimization of macromolecules are also discussed.
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    Bulletin of mathematical biology 45 (1983), S. 721-737 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract A fully developed pulsatile flow in a circular rigid tube is analysed by a microcontinuum approach. Solutions for radial variation of axial velocity and cell rotational velocity across the tube are obtained using the momentum integral method. Simplified forms of the solutions are presented for the relevant physiological data. Marked deviations in the results are observed when compared to a Newtonian fluid model. It is interesting to see that there is sufficient reduction in the mass flow rate, phase lag and friction due to the micropolar character of the fluid.
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    Bulletin of mathematical biology 45 (1983), S. 749-758 
    ISSN: 1522-9602
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    Notes: Abstract A mathematical model of the transport of fluorescein across the blood-retina barrier in the transient state and the subsequent diffusion of fluorescein in the vitreous body is presented. The function of the barrier is lumped in a single parameter—the permeability. The sensitivity of this parameter due to changes in the other parameters of the model is given. This establishes the foundation for the quantitative assessment of the barrier function through vitreous fluorophotometry.
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    Bulletin of mathematical biology 45 (1983), S. 739-748 
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    Notes: Abstract The objective of this preliminary study was to develop a new quantitative method of setting the initial insulin infusion patterns in treatment of diabetic patients. The method is based upon the mathematical estimation of the insulin profile required to maintain the glucose level within the normal range after glucose loading in diabetic patients. Using our previously developed equivalent circuit model of glucose kinetics and the reported data of an intravenous glucose tolerance test (IVGTT) in two groups of normal and diabetic patients, two important physiological parameters of the model (the peripheral tissue's insulin resistivity and the hepatic sensitivity to glucose level) were computed for two clinical groups. Then the insulin profile was obtained by computing the plasma insulin concentrations required to keep the total glucose utilization rate of the tissue and the liver in the diabetic group equal to that of the normal group. The simulation result indicated that the computed insulin profile produced a plasma glucose profile which was more closely matched to the normal group's glucose profile than with the case of emulating the normal group's insulin profile in the diabetic group.
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    Bulletin of mathematical biology 45 (1983), S. 759-780 
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    Notes: Abstract This paper shows that the Na conductance changes can be explained quantitatively, based on the following assumptions: (1) there exist in nerve membranes the electron transfer (ET) complexes and traps, (2) there is energy migration among them. The gating mechanism is explained in physical terms. Its mathematical expression differs from the Hodgkin-Huxley equations, but resembles the Hoyt formulation. In the present model, the physical parameters for the squid axon can be estimated from currently available experimental data. The density of the ET complexes is on the order of 105/μm2, and the density of the traps is 103/μm2. The magnitude of the energy transfer rate between ET complexes is about 106/sec at large depolarization and decreases with decreasing depolarizations, as does the Na inactivation rate. The energy gap between the two stable states of the transfer electron in the ET complex is estimated to be around 0.1 eV, which is approximately the same as that for the photosynthetic systems.
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    Bulletin of mathematical biology 45 (1983), S. 781-792 
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    Notes: Abstract The role of symmetry in simplifying the theory of complex neural systems is argued. When the structural symmetries of a network are expressed as an ismorphism group, implications emerge for the dynamics. Various qualitative possibilities concerning stability of uniform motion in homogeneous nets are discussed and an approach to neural hierarchies is outlined.
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    Bulletin of mathematical biology 45 (1983), S. 793-805 
    ISSN: 1522-9602
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    Notes: Abstract By constructing appropriate Liapunov functionals, asymptotic behaviour of the solutions of various delay differential systems describing prey-predator, competition and symbiosis models has been studied. It has been shown that equilibrium states of these models are globally stable, provided certain conditions in terms of instantaneous and delay interaction coefficients are satisfied.
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    Bulletin of mathematical biology 45 (1983), S. 807-826 
    ISSN: 1522-9602
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    Notes: Abstract Sensitivity analyses have been used to examine the flow structure of two hypothetical ecosystem models. These analyses have results which relate to important aspects of ecosystem theory. Cycles are shown to increase the sensitivity of the network, while increased throughflow is shown to decrease the sensitivity. Such results indicate that several factors can be modified to decrease the sensitivity of ecosystems to environmental stress.
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    Bulletin of mathematical biology 45 (1983), S. 827-836 
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    Notes: Abstract A continous, deterministic mathematical model is used to predict population distributions by age at any time, given the initial distribution and the variation of birth and death rates with age and time. Solutions are obtained on a computer using a semi-discretization algorithm in which time derivatives in the partial differential equations are replaced by finite-difference expressions. The resulting sets of ordinary differential equations are solved by a predictor-corrector method. Graphical results are shown for some examples.
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    Bulletin of mathematical biology 45 (1983), S. 849-855 
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    Notes: Abstract A new formula for the complexity of graphs is proposed and applied to the points lines and ‘connections’ of some chemically relevant graphs.
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    Bulletin of mathematical biology 45 (1983), S. 837-847 
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    Notes: Abstract This paper reports general and specialized results on analytical solutions to the governing phenomenological equations for chemotactic redistribution and population growth of motile bacteria. It is shown that the number of bacteria cells per unit volume,b, is proportional to a certain prescribed function ofs, the concentration of the critical substrate chemotactic agent, for steady-state solutions through an arbitrary spatial region with a boundary that is impermeable to bacteria cell transport. Moreover, it is demonstrated that the steady-state solution forb ands is unique for a prescribed total number of bacteria cells in the spatial region and a generic Robin boundary condition ons. The latter solution can be approximated to desired accuracy in terms of the Poisson-Green's function associated with the spatial region. Also, as shown by example, closed-form exact steady-state solutions are obtainable for certain consumption rate functions and geometrically symmetric spatial regions. A solutional procedure is formulated for the initialvalue problem in cases for which significant population growth is present and bacteria cell redistribution due to motility and chemotactic flow proceeds slowly relative to the diffusion of the chemoattractant substrate. Finally, a remarkably simple exact analytical solution is reported for a stradily propagating plane-wave which features motility, chemotactic motion and bacteria population growth regulated by substrate diffusion.
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    Bulletin of mathematical biology 45 (1983), S. 857-867 
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    Notes: Abstract This paper discusses the flow of blood in large artries under the influence of linear periodic acceleration. The governing equations and boundary conditions are established and analytical solutions for the velocity, fluid acceleration, bulk flow and shear stress are obtained. The results for these physical quantitites are computed for the case of an artery the size of a normal human aorta. It is found that the flow field variables are directly proportional to the external accelerating force. The behaviour of the velocity profile along the radial distance at different stages of times at fixed applied acceleration is also shown.
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    Bulletin of mathematical biology 45 (1983), S. 931-968 
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    Notes: Abstract The evolutionary selection circuits model of learning has been specified algorithmically. The basic structural components of the selection circuits model are enzymatic neurons, that is, neurons whose firing behavior is controlled by membrane-bound macromolecules called excitases. Learning involves changes in the excitase contents of neurons through a process of variation and selection. In this paper we report on the behavior of a basic version of the learning algorithm which has been developed through extensive interactive experiments with the model. This algorithm is effective in that it enables single neurons or networks of neurons to learn simple pattern classification tasks in a number of time steps which appears experimentally to be a linear function of problem size, as measured by the number of patterns of presynaptic input. The experimental behavior of the algorithm establishes that evolutionary mechanisms of learning are competent to serve as major mechanisms of neuronal adaptation. As an example, we show how the evolutionary learning algorithm can contribute to adaptive motor control processes in which the learning system develops the ability to reach a target in the presence of randomly imposed disturbances.
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    Bulletin of mathematical biology 45 (1983), S. 981-990 
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    Notes: Abstract In the present paper we discuss the behaviour of solutions of a dynamical system describing the growth of cells in a well-mixed continuous culture where the supply of the growth-limiting nutrient depends on the activity of an enzyme outside the cell membrane. It turns out that for positive dilution rates there exists an exponentially attractive two-dimensional simplex. Furthermore, the reversed system restricted to this simplex is quasimonotone. In every case all trajectories tend to an equilibrium state.
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    Bulletin of mathematical biology 45 (1983), S. 991-1004 
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    Notes: Abstract We present a Gause predator-prey model incorporating mutual interference among predators, a density-dependent predator death rate and a time lag due to gestation. It is well known that mutual interference is stabilizing, whereas time delays are destabilizing. We show that in combining the two, a long time-lag usually, but not always, destabilizes the system. We also show that increasing delays can cause a bifurcation into periodic solutions.
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    Bulletin of mathematical biology 45 (1983), S. 969-980 
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    Notes: Abstract The cycle structure of enzymatic neural networks may be characterized in terms of number of cycles exhibited, size of cycle state sets and cycle lengths. Simulation experiments show that the stability properties of these networks have some unusual features which are not exhibited by networks of two-state switching elements or by randomly constructed ecosystem models. The behavioral and structural stability of these systems decreases with their structural complexity, as measured by the number of components. The behavioral and structural stability of enzymatic neural networks also decreases with structural complexity, as measured by the number of excitase types, but only up to the middle level of excitases per neuron. This is the point of highest potential responsiveness of the system to environmental stimuli. Beyond this point the behavioral and structural stability increase. This is due to the fact that the number of possible states increases up to this point and decreases beyond it. The number of possible states, not the number of components, serves as the useful measure of complexity in these types of systems. The selection circuits learning algorithm has been used to evolve networks whose cycle structures have desired features.
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    Bulletin of mathematical biology 45 (1983), S. 1005-1011 
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    Notes: Abstract Similarity criteria of the functional design of the mammalian cardiovascular system are scant. For the analysis of mammalian cardiac energetics physiological parameters such as mean arterial blood pressure, stroke volume, heart rate, metabolic rate and heart and body weights are considered pertinent. Based on these parameters, a new similarity principle is established via allometric equations, dimensional analysis and Buckingham's pi-theorem. The principle states that the ratio of left ventricular external work to metabolic rate is inversely proportional to resting heart rates of mammals. The proportionality constant is dimensionless and is invariant of mammalian body weights.
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    Bulletin of mathematical biology 45 (1983), S. 1029-1045 
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    Notes: Abstract The mathematical theory of categories is used as a tool in the description of the structure and function of natural systems. The connections between the category of natural systems, with observables and dynamics, and the phenomenological calculus of response tensors, duality- and adjoint-invariance diagrams are established. The unified theory is applied to the analysis of hierarchies, pattern generation and the structure and dynamics of proteins.
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    Bulletin of mathematical biology 45 (1983), S. 1047-1072 
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    Notes: Abstract This is an investigation of natural systems from the standpoint of the mathematical theory of categories. It examines the relationships which exist between different descriptions through measurement of observables and dynamical interactions. We begin with a category theory of formal systems with observables, and then proceed to a category theory of dynamical systems. The two categories are then combined to represent natural systems. Topological considerations enter in the study of stability and bifurcation phenomena. Special emphasis is placed on natural systems which model biological processes. The categorical system theory developed is applied to the analysis of several biological problems and biological system theories.
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    Notes: Abstract Tetanic hyperpolarization for theXenopus node is simulated by means of iterative solutions of the Frankenhaeuser-Huxley excitation equations together with an active transport current density term which is dependent on sodium and potassium levels as well as the ADP/ATP ratio. All time-dependent variables at the end of one interspike interval are introduced as initial conditions for the next response, whereupon all time-dependent changes in voltage and permeability factors appear identical for the third and fourth responses of a sequence. Net change in internal sodium concentration is zero throughout the third and fourth intervals if sodium loading of the system is initially adjusted to a critical level. Extent of tetanic hyperpolarization is a function of the pump conductance.
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    Bulletin of mathematical biology 45 (1983), S. 1097-1097 
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    Bulletin of mathematical biology 45 (1983), S. 1073-1096 
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    Notes: Abstract The properties of nonlinear equations describing the solute and solvent transport across a simplified Patlak-Goldstein-Hoffman model (two membranes in series without unstirred layers) are investigated both analytically and numerically. The analysis shows that the principal coefficients measured in transport experiments in the presence of active transport are dependent on the experimental conditions. These ‘apparent’ system parameters are extensions of the corresponding parameters determined both in passive systems and in the linear Kedem-Katchalsky theory. Moreover, they are related to the local phenomenological coefficients of the single membranes of the array. Several relationships between measurable quantities and the local system parameters are indicated, allowing the planning of experiments aimed at the measurement of the latter. Data in the literature have been used to check the proposed volume flow equation.
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    Bulletin of mathematical biology 45 (1983), S. 139-142 
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    Notes: Abstract As an alternative to optimum-processor models in which sensors attempt to circumvent internal and external noise, a mechanism-independent argument is presented for Weber's law in vision and hearing. In vision, the argument is that categories of objects should be independent of the light intensity on these objects. In hearing, sound categorization should be independent of the distance from the sound source. An analogous desideratum for computer-based image segmentation is also presented.
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    Bulletin of mathematical biology 45 (1983), S. 193-207 
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    Notes: Abstract Rashevsky's treatment of general binary relations between sets of biological elements is extended using the novel mathematical concept of lattice-valued relation (l.v.r.). This yields a quantitative measure of the strength of the relations between components of a biological organism, and some illustrative examples are given. Specific l.v.r.'s are used to define (more precisely than in Rashevsky's preliminary theory of binary relations) the biologically important relationships amongst hormones, metabolism and energy exchange involved in metabolic reactions. The ‘strongest link’ between the set of hormones and the set of metabolic reactions is quantified using a special l.v.r., and other specific biological realisations of lattice-valued relations in abstract-relational biology are presented. L.v.r.'s may also be regarded as a form ofG-relation in relational biology, or as a particular case of generating diagrams. Further possible developments of this approach, using more complex tools of the newly developed mathematical theory of lattice-valued relations, such as function space l.v.r., group l.v.r., l.v.r. morphisms, l.v.r. homology andn-ary l.v.r.'s are suggested.
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    Bulletin of mathematical biology 45 (1983), S. 259-267 
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    Notes: Abstract The effects of the viscosity-concentration dependence and of the concentration profile on blood flow through a vessel with stenosis have been studied. The flow resistance and the wall shear stress have been found to be smaller than in the two-fluid model with constant viscosities.
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    Bulletin of mathematical biology 45 (1983), S. 507-519 
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    Notes: Abstract A survey is given of branching process type methods in cell kinetics. Some results are given that allow circadian rhythm and do not require complete independence between cells. Some more classical results on balanced exponential growth are given and some comments are made on flow microfluorometry.
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    Bulletin of mathematical biology 45 (1983), S. 439-442 
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    Bulletin of mathematical biology 45 (1983), S. 443-465 
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    Notes: Abstract The spike train activity of neurones is considered as a point process, and methods of analysing and interpreting recorded spike trains are considered. The generation of a continuous process (membrane noise) from interacting point processes is described.
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    Bulletin of mathematical biology 45 (1983), S. 521-554 
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    Notes: Abstract Stochastic models of population genetics are studied with special reference to the biological interest. Mathematical methods are described for treating some simple models and their modifications aimed at the problems of the molecular evolution. Unified theory for treating different quantities is extensively developed and applied to some typical problems of current interest in genetics. Mathematical methods for treating geographically structured populations are given. Approximation formulae and their accuracy are discussed. Some criteria are given for a structured population to behave almost like a panmictic population of the same total size. Some quantities are shown to be independent of the geographical structure and their dynamics are described.
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    Bulletin of mathematical biology 45 (1983), S. 11-20 
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    Notes: Abstract This paper is concerned with a generalization of the simple epidemic model in which the infective population is partitioned intom classes, each of specific infectiousness. Attention is restricted, however, to the case where all the meeting rates between two individuals are equal to each other. Both deterministic and stochastic versions are examined. In either case the development in time of the epidemic process is investigated by exploiting a connection with the standard simple epidemic model. Finally, it is shown that the technique used also applies to a similar model for the spread of information.
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    Bulletin of mathematical biology 45 (1983), S. 33-40 
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    Notes: Abstract For each rooted binary tree witht labeled terminal vertices (leaves) a natural number can be assigned uniquely. Unrooted trees witht labeled terminal vertices andt-2 unlabeled internal vertices of degree 3 can also be numbered uniquely using the same convention. Rooted trees in which the hights of the internal vertices are rank ordered are also considered. Applications to problems in taxonomy are discussed.
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    Bulletin of mathematical biology 45 (1983), S. 41-50 
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    Notes: Abstract Expressions and numerical values for hematocrit reduction are calculated as blood flows from a cylindrical feeding tube into a cylindrical capillary at a right-angle branch. Blood is considered to consist of two Newtonian fluids, plasma and red cell suspension, which have equal densities but different viscosities. The concentration profile of the red cells is concluded to depend on the size of the feeding tube. An estimate for the thickness of the plasma layer adjacent to the wall is obtained.
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    Bulletin of mathematical biology 45 (1983), S. 51-67 
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    Notes: Abstract Asimple model system of two self-reproducing objects is considered. A set of equations, similar to Eigen's equation, describing competition of these objects is derived and analyzed under the effect of an ‘ecological constraint’. The relation with other constraints used in the literature is discussed.
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    Bulletin of mathematical biology 45 (1983), S. 69-90 
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    Notes: Abstract A membrane with an arbitrary distribution of fixed charges inside and on its surfaces is considered. A procedure for calculating the local electrostatic potential at an arbitrary point of the system is described and its validity discussed. This procedure is based on the linearization of the 3-dimensional Poisson-Boltzmann equation around an exact 1-dimensional solution.
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    Bulletin of mathematical biology 45 (1983), S. 103-116 
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    Notes: Abstract In this, the first of a series of papers on stochastic and deterministic non-linear allometric growth models, a deterministic model is proposed which generalizes the widely applicable classical linear model of Huxley and Needham. There aren types of producers, each type depositing a product which accumulates monotonically in the environment. Producers interact via a mass action law satisfying an optimality condition. Coefficients may be interpreted as competition between the various producer types in the usual Volterra sense. An ideal coral reef is studied in which then species of coral polyps lay down aragonite calcium carbonate in building the reef framework. This deterministic model predicts that younger reefs are strongly unstable relative to initial species abundance, while older reefs grow in the classical sense of Huxley and Needham, asymptotically, as time goes to infinity.
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    Bulletin of mathematical biology 45 (1983), S. 151-153 
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    Notes: Abstract First-order spatial gradients are reliquished in the Schrödinger-Bloch equation for bacterial chemotaxis if and only if the flux coefficient-motility ratio equals 2, the precise value measured in recent experiments onEscherichia coli attracted by oxygen. Moreover, for δ/μ=2 the Schrödinger-Bloch function Ψ is simply equal to the number of bacteria cells per unit volume divided by the chemoattractant concentration.
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    Bulletin of mathematical biology 45 (1983), S. 169-192 
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    Notes: Abstract A mathematical formulation useful in characterizing the effects of light on the pupal eclosion rhythm of the fruit flyDrosophila pseudoobscura is presented. It is based upon the premise that the underlying pacemaker oscillator behaves in a manner analogous to a customized version of a phase-locked loop circuit. Theoretical analyses supplemented with numerical simulations reveal that this phase-locked loop approach yields a concise mathematical characterization which is quite comprehensive in its scope, yet surprisingly accurate in the detail with which it can be used to successfully predict observed experimental results.
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    Bulletin of mathematical biology 45 (1983), S. 155-168 
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    Notes: Abstract Pointwise upper and lower bounds for the solution of a class of nonlinear problems arising in the steady-state finite cable model of cell membranes are presented. Simple analytical bounding curves are obtained for an illustrative example in the theory of nerve membranes.
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    Bulletin of mathematical biology 45 (1983), S. 209-227 
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    Notes: Abstract Single-species reaction-diffusion models are analyzed to determine the effect of various diffusion mechanisms on species persistence or extinction.
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    Bulletin of mathematical biology 45 (1983), S. 401-408 
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    Notes: Abstract A restriction is imposed on the number of particles that can possibly move at any time from a compartment, so that any other particles present in the compartment must wait until such particles have moved out. The equations for such a system are formulated and the solution is given for a single compartment system; increased variability of the compartmental particle count is one effect of this restriction.
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    Bulletin of mathematical biology 45 (1983), S. 323-345 
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    Notes: Abstract Two classes of dose-effect models for cell killing (additive damage and independent effects) are developed under alternative hypotheses about the damage that leads to cell death. Generalized models, along with specific models for cell killing after exposure to a specific cytotoxicant, are used to make predictions about the effects of sequential or simultaneous exposure to different cytotoxicants. It is demonstrated that with the additive damage models developed one can adequately account for the combined effects of the cytotoxicants considered. Theoretical results are presented which suggest that after simultaneous exposure of cells to low total doses (〈0.1 Gy) of different ionizing radiations, use of the conventional relative biological effectiveness approach to predict cell killing risks is unnecessary; cell killing risks can adequately be determined by assuming the effects of the different radiations to be independent. Also, for simultaneous exposure of cells to total doses of different radiations much larger than 0.1 Gy, use of the conventional RBE approach to arrive at cell killing risk could lead to overestimation of the risk.
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    Bulletin of mathematical biology 45 (1983), S. 347-400 
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    Notes: Abstract A predator which is preying on a model-mimic system can choose either the single-trial strategy or a multi-trial strategy as its behavior in learning to prudently harvest such a prey system. In this learning behavior, an important and often-posed problem is to determine which among these two strategies is better suited for the predator and why one is preferable over the other. We present in this article, using Markov chain methods, an extensive analysis of these strategies (and also of eat-everything, strategy). We conclude that the multi-trial strategy is the one that the predator should adopt (but we will also describe the situations when the single-trial strategy seems to be better). Our conclusions are based on the comparisons of quantities such as the mean benefit to the predator, energy derived by a predator from the model-mimic system and (a newly introduced notion of) contagion in eating mimics and models (these quantities are computed for different strategies). The first two quantities are functions of the abundancep and noxiousnessb of models. The contagion is a function of onlyp; and, though independent ofb, it is also in support of multi-trial, strategy. We introduce, in the present context, a biological analog of the d'Alembert principle and also derive functions describing the influences of eating a specified type of prey at a given time on eating any type of prey at a later time. Various results of Estabrook-Jespersen (single-trial strategy) and Bobisud-Potratz (multi-trial strategy) are re-derived as special cases of our more general results. A central limit theorem under the eat-everything strategy is given.
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    Bulletin of mathematical biology 45 (1983), S. 431-435 
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    Bulletin of mathematical biology 45 (1983), S. 425-430 
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    Notes: Abstract We consider the one-dimension (one-compartment) exponential model using a diffusion process approach. In particular, we summarize the known results in the case where the stochastic component of the model is a Gaussian white noise process with mean zero and variance σ2. Finally, we briefly illustrate a number of cases where similar forms of model arise.
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    Bulletin of mathematical biology 45 (1983), S. 467-482 
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    Notes: Abstract The surfaces of many cells are viscous fluids; consequently, most membrane proteins are able to diffuse laterally, in a more or less random fashion, with diffusion coefficients typically of order 10−10 cm2/sec. If a molecule (ligand) in solution outside the cell and a protein molecule on the surface (receptor) each have two or more sites at which they can interact with one another, large, branched receptor-ligand networks can form on the cell surface by virtue of the chemical interactions that surface fluidity permits. Evidence from a variety of systems indicates that such receptor clustering plays a role in the sequence of events leading to cellular activity. This paper describes a number of mathematical problems that arise in the analysis of experiments in which clustering occurs. I begin by reviewing methods for finding the time evolution of the cluster size distribution function in terms of reaction rate constants. The methods solve an essentially infinite system of coupled nonlinear differential equations. Next, the rate constants are analyzed, the Brownian motion problems that arise in attempting to understand ligand recognition are described and relevant experimental systems are discussed. Finally the notion of ligand as a signal amplifier is introduced—an idea that emerges naturally from the requirement that receptors be clustered for a finite amount of time before a signal can be transmitted.
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    Bulletin of mathematical biology 45 (1983), S. 555-569 
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    Notes: Abstract The covariances among the populations of distinct compartments are studied for the multi-compartmental birthless death-migration-immigration process. The important role played by the transition matrix of the deterministic process is underlined. Several examples are discussed.
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    Bulletin of mathematical biology 45 (1983), S. 483-506 
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    Notes: Abstract Qualitative theory for multidimensional stochastic dynamical models $$\dot x = f(x, \xi )$$ is presented where the random influences ξ may be white or colored, i.e. a (possibly bounded) diffusion process. We concentrate on transience, stationary solutions and boundary behavior and discuss a set-up for reliable simulations. The method consists in associating a deterministic control system where the (approximate) controllability properties determine the qualitative behavior of the stochastic system. Applications to some biological systems indicate the usefulness of qualitative theory in life sciences.
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    Bulletin of mathematical biology 45 (1983), S. 599-603 
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    Notes: Abstract We study some linear stochastic differential equations in Hilbert spaces.
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    Bulletin of mathematical biology 45 (1983), S. 591-597 
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    Notes: Abstract In this article we show how linearity with respect to the output of a stochastic dynamic model can be exploited in order to simplify the computation of moments or conditional moments. The results are presented for two examples, one of which includes delays. This feature is often encountered in biological models.
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    Bulletin of mathematical biology 45 (1983), S. 873-874 
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    Bulletin of mathematical biology 45 (1983), S. 869-872 
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    Notes: Abstract In the derivation of the biomass distribution function for an ecological population critical use is made of an energetic constraint on the maximization of biomass diversity. The nature of this constraint is explored in detail using Kleiber's relation σ(m)=cm γ between animal metabolic rate σ(m) and body weightm in conjuction with the Prigogine-Wiame thermodynamic paradigm for specific entropy production in biological stationary states. These two inputs fix the energetic constraint on the maximization of biomass diversity to be the constancy of the mean metabolic rate of the ecosystem. The resulting biomass distribution function is tested against observational data.
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    Bulletin of mathematical biology 45 (1983), S. 875-875 
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    Bulletin of mathematical biology 45 (1983), S. 901-915 
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    Notes: Abstract A system of mixed integrodifferential and partial differential equations for an agestructured predator-prey system is studied here. The predator eats all ages of prey, but more of the very young and very old than of the intermediate ages. The existence of periodic solutions corresponding to stable coexistence is proved for a suitable range of parameters by bifurcation theory.
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    Bulletin of mathematical biology 45 (1983), S. 877-900 
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    Notes: Abstract In this paper, stability of two-prey, one-predator communities is investigated by Lyapunov's direct method and Hopf's bifurcation theory. Three patterns of three-species coexistence are possible. A globally stable non-negative equilibrium exists for the system even if two competing prey species without a predator cannot coexist. The stable equilibrium bifurcates to a periodic motion with a small amplitude when the predation rate increases. It is also shown that a chaotic motion emerges from the periodic motion when one of two prey has greater competitive abilities than the other. This predator-mediated coexistence can be realized by the intimate relationship between preferences of a predator and competitive abilities of two prey.
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    Bulletin of mathematical biology 45 (1983), S. 917-930 
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    Notes: Abstract A non-linear stability analysis using a multi-scale perturbation procedure is carried out on the practical Thomas reaction-diffusion mechanism which exhibits bifurcation to non-uniform states. The analytical results compare favourably with the numerical solutions. The sequential patterns generated by this model by variations in a parameter related to the reaction-diffusion domain indicate its capacity to represent certain key morphogenetic features required in a recent model by Kauffman for pattern formation in theDrosophila embryo.
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    Bulletin of mathematical biology 45 (1983), S. 1-9 
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    Notes: Abstract The urn model discussed in part is generalized so that the random depletion of balls from the urn in any cycle is not necessarily the same as the reinforcement in that cycle. This model is applied to an urn containing balls of three colors (white, red, black) for which the black balls always receive reinforcements, whereas there is only one cycle in which red balls are added. Experimental data are considered in which red balls correspond to radioactive iodine atoms, black balls to stable iodine atoms and white balls to empty space, all relating to the thyroid gland. Half-life periods for the radioactive iodine in relation to the time of uptake (ten years, fifteen years, etc.) are considered.
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    Bulletin of mathematical biology 45 (1983), S. 21-31 
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    Notes: Abstract Kinetic equations for the action of a reagent on a population which is increasing by Gompertzian growth are solved by a combination of analytical and numerical methods for both dilute distributions and cellular aggregates. For the aggregates an empirical function controlling extent of diffusion is used with external reagent concentration held constant, and the effective diminution of reagent activity caused by aggregation is related to the extent of penetration by diffusion. Diffusion from the centre is considered. Solutions with time-dependent reagent concentration are obtained for a distribution, and the effect of successive inputs of reagent studied.
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    Notes: Abstract Bilayer lipid membranes consist of an inner hydrocarbon tail region with the hydrophilic polar heads on either side. The order-disorder transition in the hydrocarbon tail reigon, from liquid crystalline (fluid) to gel state, is characterised in terms of a Landau-de Gennes description, in which the effect of an external electric field is incorporated through its description, in which the effect of an external electric field is incorporated through its interaction with the surface charges on the bilayer (placed as it is in an ionic medium) or with the polar heads. Biological implications of such a phase transition, for excitable membranes, resides in a model wherein ion channels (taken to be composed of protein bundles) are postulated to be surrounded by lipid molecules in the fluid phase when the membrane is in its resting state, while surface charges and/or the polar heads of the lipid molecules responding to an electric stimulus, if of adequate magnitude, induces a transition in the hydrocarbon tail region of the (boundary) lipid surrounding the ion channels from the liquid crystalline (fluid) to the crystalline (gel) phase which, in turn, through coupling with the relevant modes of the protein bundles, results in the opening of the ion channels, provinding thereby a mechanism for the desired response.
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    Bulletin of mathematical biology 45 (1983), S. 117-138 
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    Notes: Abstract Concepts of the uniqueness of the amino acid sequences of proteins were defined in a prior report (Saroff, H. A. and F. A. Kutyna. 1981. “The Uniqueness of Protein Sequences: A Monte Carlo Analysis.”Bull. math. Biol. 43, 619–639), which presented a detailed discussion ofi-uniqueness, i.e. the tendency of small peptides to be repeated within an amino acid sequence of a protein. We now report on the quantitative analysis ofo-uniqueness, which evaluates the tendency of small peptides to be repeated amongst different proteins, usually of a single species. A detailed analysis of theo-uniqueness of several proteins is presented to illustrate the method and the range of values encountered. Uniqueness data on sequences of human proteins in a data bank of sequences containing about 32,500 amino acids are made available in the form of a microfiche. Analysis of biologically active subsequences such as the angiotensins and the enkephalins suggest a tendency of the subsequences contributing to the property ofo-uniqueness to cluster in portions of the parent protein sequence which are biologically active. This property may provide a general method for predicting biologically active areas of proteins. Current data may already be adequate to permit useful predictions, and the rapidly accumulating and interrelated new data on nucleic acid and protein sequences will further enhance the power ofo-uniqueness analysis.
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    Bulletin of mathematical biology 45 (1983), S. 143-149 
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    Notes: Abstract In this note we examine Eigen's nonlinear rate equations for the relation of coupled biomacromolecules. We obtain an exact solution to the equations for constant overall population densities and constant rate parameters. We conclude that there is only one stationary solution where all molecular species coexist when they are coupled by mutation.
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    Bulletin of mathematical biology 45 (1983), S. 229-237 
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    Notes: Abstract Previously developed light absorption models have treated the effective quantity of light-absorbing material within the experimental environment as a constant, i.e. a parameter. These models are, however, probabilistic in nature and are properly applied and interpreted only in a statistical sense. Thus, it is clearly logical to regard the effective quantity of light-absorbing material to be a random variable. In this paper an asymptotic distribution is derived for this random quantity, and it is shown how this distribution may be incorporated into present models. These results may be applied to light absorption by plant and crop canopies as well as to liquid or solid media. Furthermore, previous models are based upon the assumption that light is parallel, or effectively so, as for solar light. Such models may be inadequate for an artificial (laboratory) environment which utilizes point source light. Present models for estimating light interception and radiation intensity are modified so as to accommodate a proximate point source of light. Numerical examples are included to illustrate the theory.
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    Bulletin of mathematical biology 45 (1983), S. 239-257 
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    Notes: Abstract This paper presents an exact analysis of a mutually coupled relay oscillator based on a method orignated by Tsypkin. Limit-cycle frequencies and phases can be determined exactly using this method, unlike other approximate methods based on describing functions and harmonic balance techniques. A new method of exact determination of limit-cycle stability is also shown to give excellent agreement with simulation studies. Different types of intercoupling are shown to give different stability conditions, and these are discussed in relation to gastrointestinal (GI) smooth muscle modelling. GI tract electrical activity has previously been modelled using bidirectionally coupled nonlinear oscillators, and the results of the present analysis of relay oscillators is compared with other studies using van der Pol dynamics.
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    Bulletin of mathematical biology 45 (1983), S. 269-285 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Information about the way of branching of dendritic arborizations may be obtained by comparing the frequency distributions of observed branching patterns with theoretical distributions based on well-defined growth models. Two models usually get much attention in geomorphological and (neuro)biological studies, viz. terminal growth and segmental growth. Formulae to construct the exact probability distributions for both growth models are presented. It is shown that ranking and lumping of the individual branching patterns enable the analysis of very large arborizations with relatively few data. The application of the Kolmogorov goodness-of-fit test for discrete distributions to the analysis is discussed.
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    Bulletin of mathematical biology 45 (1983), S. 295-309 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract An autonomous system of two differential equations with an asymptotically stable steady state is considered. It is shown that there exists a class of time delays which preserves the stability of such a steady state. The charactristic return time (or decay rate) for the solutions to approach the steady state is estimated using the variational system for the perturbations.
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    Helgoland marine research 36 (1983), S. 223-229 
    ISSN: 1438-3888
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    Topics: Biology
    Notes: Abstract Caudal regeneration was investigated in decerebrateAnaitides mucosa and in brain-intact individuals. Both groups show an identical capacity to regenerate lost caudal segments. Furthermore there is no difference in males and females. Low temperature (5 °C) inhibits the regeneration of caudal segments, but it is necessary for normal oogenesis. Under conditions of high temperature (15 °C), caudal regeneration is very extensive. At the same time degeneration of most oocytes occurs.
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    Helgoland marine research 36 (1983), S. 163-181 
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    Topics: Biology
    Notes: Abstract In spring and early summer,Pleuronectes platessa, Platichthys flesus, Solea solea, andCrangon crangon transform to benthic postlarvae in the shallow water region of the North Frisian Wadden Sea (eastern North Sea). During the first weeks after metamorphosis, they remain in the puddles and drainage gulleys on the tidal flats that are exposed during low tide. Positive rheotaxis prompting the juveniles to swim against the ebb tide currents is an important mechanism for maintaining their position on the flats. When sunlight intensity increases, they continue their locomotory and feeding activity, even during daytime, in the pools still present at low tide. On warm, cloudless days, temperature levels in these pools may increase to lethal thresholds. Consequently, the animals attempt to escape from higher tidal flats near the shore through the drainage gulleys. Such migrations bring about changes in their distribution patterns. Plaice can scarcely be found in near-shore areas, and they are absent at both high and low tide. The responses observed were correlated to physical and chemical data recorded during the observation period. The ecological significance of tidal pools as habitats is discussed.
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    Helgoland marine research 36 (1983), S. 1-65 
    ISSN: 1438-3888
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    Notes: Abstract Complementary to a previous publication (Kornmann & Sahling, 1977), this investigation deals mainly with microscopic algae occurring in the rocky littoral of Helgoland island (North Sea). Based on the results obtained from cultivation experiments, the heterogeneousUlvella-complex of Dangeard has been rearranged and partly included in a new genusStromatella, andPlanophila respectively. The life history ofChlorocystis cohnii proved to be heteromorphic, the zygotes developing into a Codiolum-sporophyte. Also inHalochlorococcum marinum, some of the biflagellate swarmers give rise to Codiolum-like cells.Chlorocystis andHalochlorococcum, up to now members of the Chlorococcales, are incorporated into the new Codiolophycean order, Chlorocystidales. Three newHalochlorococcum species are described, the epiphytic“Chlorochytrium” moorei also being combined with this genus. Supplementary observations on some crustose red algae from transparent substrates are included in this study, as well as findings of some species not previously reported for the Helgoland area.
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    Helgoland marine research 36 (1983), S. 115-117 
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    Helgoland marine research 36 (1983), S. 137-150 
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    Notes: Abstract The development of hard bottom communities has been studied on test panels in Helgoland Harbour (German Bight) since 1977. Settlement and growth of epibenthic species was examined monthly. Natural variation in different seasons, years, and at three stations (the latter, only in 1981 and 1982) was investigated. At Station A (Binnenhafen), barnacles(Balanus crenatus) and polychaetes(Polydora ciliata) were always among the first settlers in spring. They were followed by other barnacles(Elminius modestus, Balanus improvisus) and by colonial ascidians(Botryllus schlosseri). The latter species often dominated from August to October, and tended to overgrow the barnacle populations.E. modestus showed strong annual variation, probably due to extremely low winter temperatures: after the cold winter of 1978/79, its populations were less dense than in previous years. In 1981 they recovered, and settlement increased again, but the cold winter 1981/82 damaged the population again. At Station B (Nordosthafen), mussels(Mytilus edulis) soon covered barnacles and empty space. By October they had monopolized the fouling community. At Station C (Südhafen), barnacle settlement in spring was followed by an overgrowth of hydrozoans (Laomedea spec.). In summer, ascidians (Ciona intestinalis andAscidiella aspersa) settled and began to dominate. Barnacles were weaker in the competition for space as opposed to later colonizers at all three stations.
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    Helgoland marine research 36 (1983), S. 119-135 
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    Topics: Biology
    Notes: Abstract The solitary scyphopolypStephanoscyphus planulophorus Werner, 1971 was detected in the submarine caves of the French Mediterranean coast near Marseille, and on the Sorrent Peninsula as well as near the Isle of Ischia (Italy). It was rare at the French sites studied but in the Italian caves of the upper sublittoral it proved fairly abundant. Its life history is unique because (a) the medusa generation is reduced to a transitional embryonic stage, and (b) no germ cells could be traced in any phase. The polyps reared in the laboratory gave rise to several continuous generations. Thus, previous observations on their morphology, distribution and ecology could be completed. Growth and size (defined as length of the peridermal tube) are analyzed, and calculations of the form quotient D/L (D = upper diameter, L = length of tube) are given. Observations on the structure of peridermal teeth which mark the inner wall of the tube in its basal parts indicate that (a) shape is a characteristic of diagnostic value and (b) number and symmetrical arrangement can be described by the formula 4 P + 4 I + 8 A (B; 5–7). A discontinuous circle of whitish pigment spots restricted to the endodermal cells of tentacle bases is another mark of diagnostic value confined to the soft body.S. planulophorus has a bicnidom of holotriches isorhizas and heterotrich microbasic euryteles. Size and distribution of nematocysts are listed for the life-cycle phases. The difference in distribution and population density between the sites near Marseille and Naples can be explained by local differences of water temperature and the thermal requirements of the polyp, the strobilation phase of which is temperature-sensitive. According to the present state of knowledge,S. planulophorus is one of the few true cave-living scyphopolyps. Considering the evolutionary consequences, the particulars of its life cycle can be interpreted as an adaptation to the special habitat conditions. The evolutionary progress of medusa reduction as well as the disadvantage of apogamous propagation are discussed briefly. A diagnosis is given based on the new morphological observations.
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    Helgoland marine research 36 (1983), S. 231-241 
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    Notes: Abstract The morphology and ultrastructure of the two interstitial marine tubificidsPhallodrilus prostatus andAktedrilus monospermathecus (Oligochaeta), closely related to the gutlessPhallodrilus spp., is described. Since pertinent histological descriptions of ‘regular’ marine tubificids were found to be non-existent, this study provides a structural basis allowing comparisons both with limnetic species and the recently described marine anenteric forms. Compared to the few freshwater tubificids investigated histologically, major differences are the substitution of the dorsal blood vessel by a large sinus, the close contact between nephridial tissue and the subintestinal vessel, a characteristic ‘wavy’ arrangement of cuticular collagen fibres, and the formation of branched epicuticular projections. The structural divergences from the gutless relatives refer mainly to the body wall, the vascular system and its endothelial structure. The various peculiarities outlined here indicate that generalizations of the situation as found in the few histological studies are as yet problematical.
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    Helgoland marine research 36 (1983), S. 277-283 
    ISSN: 1438-3888
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    Topics: Biology
    Notes: Abstract The macrobenthic fauna associated withFucus at a station in the Kiel Fjord was investigated from June 1978 until June 1979. The predominant group in number as well as in biomass were gammarids. They formed, together with the isopodsIdotea spp., approximately 95 % of the total average annual biomass. The total dry weight of all macrobenthic animals (excl.Littorina spp.) increased from 1.9 g per kgFucus in May to about 16 g in June–August, and dropped to 8.3 g in September. Winter average dry weight values were only about 6 % of the summer values.
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    Journal of ornithology 124 (1983), S. 259-269 
    ISSN: 1439-0361
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    Topics: Biology
    Description / Table of Contents: Summary Two different cages are used for orientation tests:Emlen funnels andMerkel-Wiltschko-cages. Most of the orientation tests with migrating birds were performed inMerkel-Wiltschko-cages. In this paper I analyzed the activity behaviour of Blackcaps, Lesser Whitethroats and Robins at orientation tests inMerkel-Wiltschko-cages during autumn and spring migration. The orientation behaviour of these night-migrating birds was tested with reference to the dependence on different magnetic field conditions and on an artificial starry sky. The following results were obtained: 1. Blackcaps and Robins are able to get orientational information from the local geomagnetic field, but Lesser Whitethroats are totally disorientated in this test condition. 2. When magnetic N was turned by 180° to geographic S by reversing the horizontal component of the earth magnetic field Blackcaps changed their directional preferences according to this magnetic field. 3. When the horizontal and vertical components of the magnetic field were reversed they had a mean direction which is equivalent to that in the normal earth field. 4. In a partly compensated magnetic field which could not be used for orientation no significant directional preference was found. 5. In an artificial earth magnetic field and with artificial stars robins are able to obtain orientational information by the magnetic field and by star patterns. — The analysis of the orientation behaviour in theMerkel-Wiltschko-cage showes that it is impossible to point out a correlation between activity, the vector length and the amount of circling in the test condition in the geomagnetic field. But in test conditions with artificial magnetic fields there were strong correlations. The birds reacted on these artifical magnetic fields with a higher activity and a higher amount of circlings but the plotting of the night migration direction was not influenced. I interpret this behaviour as a stress reaction on these artifical magnetic fields produced by Helmholtzcoils. The distribution of the headings of the single test night was more concentrated during autumn than during spring migration. But in the single test night the vector length of the mean direction was higher during spring than during autumn migration. An interpretation of these facts may be given by the glacial periods or by the food shortage at wintertime. Therefore in autumn the birds had to fly by the straightest way to their winter ground. At spring they can remove behind the receding winter. The analysis of the orientation data obtained in spring migration revealed a strong correlation between orientation behaviour, temperature and pressure. The analysis showes that theMerkel-Wiltschko-cage is a very good orientation cage to test birds which live in bushes. In this test cage the birds keep up their normal migratory behaviour. An other advantage is that single external factors can be tested under laboratory conditions in this cage.
    Notes: Zusammenfassung Untersucht wird das Verhalten von 3 nachtziehenden Vogelarten imMerkel-Wiltschko-Käfig als Käfig für Orientierungsversuche nach dem Magnetfeld und dem Sternenhimmel. Neben der Übereinstimmung der ermittelten Laborzugrichtungen mit den Literaturdaten entspricht auch das Aktivitätsverhalten dem natürlichen Zugzeitverhalten. Eine Korrelation der Richtungswahlen mit der Aktivität, der Konzentration der Richtungswahl und der Anzahl der Kreisflüge war nicht möglich. Künstliche Magnetfelder riefen eine „Streßreaktion“ bei den Versuchsvögeln hervor: starke Erhöhung der Aktivität und der Anzahl der Kreisflüge, wobei die Orientierungsleistung erhalten blieb. „Nicht-orientierte“ Vögel wiesen in den Einzelnächten eine höhere Vektorlänge und eine niedrigere Aktivität auf als diejenigen im natürlichen Erdmagnetfeld. Aufgrund der unterschiedlichen Aktivitäten und Vektorlängen wird vermutet, daß der Herbst- und Frühjahrszug von unterschiedlichen Faktoren beeinflußt wird. Die durchführbare Verhaltensanalyse erlaubt es, imMerkel-Wiltschko-Käfig gezielt die Auswirkung einzelner Faktoren (z. B. Temperatur, Wind, Luftdruck usw.) auf die Orientierung zu überprüfen. Unterstützt wird das natürliche Verhalten des Vogels in dem Versuchskäfig durch die Möglichkeit einer dem Ruderflug ähnlichen Bewegung.
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    Journal of ornithology 124 (1983), S. 415-430 
    ISSN: 1439-0361
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    Topics: Biology
    Description / Table of Contents: Summary From 1970–1972 number of bird species and individuals were determined for an agriculturally used coastal area of the North Sea (59 % grassland, 38 % arable land) of 96.14 hectares (54.11 N/9.03 E). The average number of species was 30.9 (May/January = 3.8). The number of breeding species varied less than that of visitors and migrants. In the course of the year the number of species reached two peaks: May, and to a lesser extent, October. The yearly spectrum of species consisted of 32 % breeding birds and of 68 % non-breeders. This high proportion of non-breeding species can be explained by local conditions: breeders of the surrounding area feed in the marsh. The average density was 66.3 ind/10 ha (August/January in normal winter = 14.9). In a cold winter the quotient was much higher. The proportion of non-breeding birds can reach 100 %. The average yearly population of breeding species (33 %) varied less than that of the non-breeders (67 %). The oscillation showed two peaks as well: one in March/April and a higher one in August. In August the number of individuals was extremely high. Insectivores, herbivores and omnivores found favourable feeding conditions. On a yearly average 62 ind./10 ha could be found on grassland and 38 ind./ha on arable land (details see fig. 8). The diversity varied between 1.08 (February) and 2.55 (September). Comparisons indicate similar values in other parts of Central Europe.
    Notes: Zusammenfassung 1970–1972 wurde der Jahres-Vogelbestand auf einer 96,14 ha großen landwirtschaftlich genutzten Nordsee-Altmarsch-Fläche (54.11 N/9.03 E) ermittelt (59 % Kulturrasen, 38 % Ackerland). Die mittlere Artenzahl beträgt 30,9 (Quotient Mai/Januar = 3,8). Brutvögel schwanken weniger als Durchzügler/Gäste. Im Jahreslauf ergeben sich zwei Höhepunkte: Mai und (schwächer) Oktober. Das jährliche Artenspektrum besteht zu 32 % aus Brutvögeln und 68 % aus Nicht-Brutvögeln. Die mittlere Individuendichte beträgt 66,3/10 ha (Quotient August/Januar [Normalwinter] = 14,9, im Kältewinter viel höher). Unter extremen Bedingungen kann der Nicht-Brutvogelanteil bis auf 100 % anwachsen. Bestände der Brutvögel (33 %) schwanken weniger als jene der Nicht-Brutvögel (67 %). Die Oszillation zeigt (wie die Artenzahlkurve) zwei Höhepunkte (März/April und höher im August). Im Jahresmittel sind 62 Individuen/10 ha auf Kulturrasen und 38 Individuen/10 ha auf Ackerland anzutreffen (Details s. Abb. 8). Die Diversität schwankt zwischen 1.08 (Februar) und 2.55 (September). Vergleiche ergeben Ähnlichkeiten der Werte zu anderen Teilen Mitteleuropas.
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    Journal of ornithology 124 (1983), S. 78-81 
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    Description / Table of Contents: Zusammenfassung Beim Einfarbstar wird die Lauffärbung mit zunehmendem Alter heller und kann als Hilfe bei der ungefähren Altersgruppierung adulter Vögel verwendet werden. Die Pneumatisation des Schädeldachs dauert etwa 6 Monate (Juli bis Dezember bei Jungen aus Erstbruten, August bis Januar bei Jungen aus Zweitbruten). Nach dem Stand der Pneumatisation des Schädeldachs lassen sich juv. und ad. am besten im Oktober und November unterscheiden.
    Notes: Summary Tarsal coloration inSturnus unicolor becomes progressively lighter with age and is of certain value in ageing adult birds (3Y–4Y). The process of cranial pneumatization lasts about six months from July to December for first clutch birds and from August to January for those of second broads. According to the degree of frontal pneumatization, October and November are the most effective months for the discrimination between adult and juvenile individuals.
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    Journal of ornithology 124 (1983), S. 100-100 
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    Journal of ornithology 124 (1983), S. 101-116 
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    Description / Table of Contents: Summary Wintering strategies of a partially migratory population of European blackbirds in southwestern Germany were studied (1) to determine the relationship of the resident or migratory behaviour to age and sex and (2) to assess the relative fitness of resident and migratory individuals by determining structure of the breeding population, start of egglaying and breeding success. There was no difference in the tendency to migrate between male and female first year birds. Only in males the migratory group consisted of more first year than older birds than the resident group. With increasing age females tended to migrate, while males tended to winter in the breeding area. Few birds changed from resident to migratory status in successive years. The rate of reproduction in resident males was greater than in migratory males because of greater success in establishing territories, earlier start of egglaying, better quality of the territory and higher nesting success. Resident and migratory females were represented in equal numbers in the breeding population. Equal numbers of migrant and resident females were paired to resident males and their breeding success was independent of their status and depended only on the status of the male. Therefore there appear to be less disadvantages of migratory behaviour in terms of reproductive output in females. These differences in fitness of migratory and resident birds are consistent with the hypothesis, that there is a balanced polymorphism of these two wintering strategies in partialy migratory populations, which is balanced by differential productivity and mortality.
    Notes: Zusammenfassung In einer teilziehenden südwestdeutschen Amselpopulation bestanden keine Geschlechtsunterschiede in der Zugausprägung erstjähriger Vögel. Nur bei ♂ wurde ein höherer Anteil erstjähriger Individuen unter den Zugvögeln im Vergleich zu Standvögeln beobachtet. Die ♀ neigten dazu, auch in höherem Alter noch zu ziehen, während mehr ♂ mit steigendem Alter im Brutgebiet überwinterten. Nur wenige Individuen wechselten in aufeinanderfolgenden Jahren vom Stand- zum Zugvogel. Die Fortpflanzungsrate der Standvögel-♂ war höher als die der Zugvögel-♂, da sie größere Chancen hatten zu brüten, ihre Brutpartner früher zu legen begannen, und die Reviere bessere Qualität besaßen. ♀ von Zug- und Standvögeln waren nahezu gleich häufig in der Brutpopulation vertreten. Fast ebensoviele Zug- wie Standvogel-♀ waren mit einem revierbesitzenden Standvogel-♂ verpaart; ihr Bruterfolg war unabhängig von ihrem Status. Nachteile der Zugstrategie im Hinblick auf die Reproduktionsrate waren deshalb für Zugvögel-♀ weniger ausgeprägt als für Zugvögel-♂. Die Unterschiede in der Fitneß von Stand- und Zugvögeln sind mit der Hypothese vereinbar, daß in teilziehenden Populationen ein balancierter Polymorphismus der Winterstrategien vorliegt, der durch unterschiedliche Produktivität und Mortalität von Stand- und Zugvögeln aufrechterhalten wird.
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    Journal of ornithology 124 (1983), S. 163-176 
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    Description / Table of Contents: Summary During a five-year study of hole-nesters in Schlüchtern, Hessia, FRG (50° 21′ N 09° 31′ E), it was found that Great, Blue and Marsh Tits(Parus major, P. caeruleus, P. palustris), Pied Flycatchers(Ficedula hypoleuca), and Nuthatches(Sitta europaea) interrupt their normal egg-laying for one or more days after a drop in temperature. For Great and Blue Tits interruptions during egg-laying could be found in all five years of the study. The interruptions were observed in every stage of the laying sequence but they were significantly more common after the laying of the first eggs than in later stages. Except for 1977, laying interruptions could be observed during the entire laying period. After longer periods of cold weather (average daily temperatures between 0 and 5 °C), Great and Blue Tits show interruptions in the laying sequence from 8 to 10 days. In years when a high percentage of individuals showed laying interruptions, the interruption intervals were longer. In most cases egg-laying was not stopped immediately following a drop in temperature but after a delay of 2 to 4 days. On the average, 37% of Blue Tits and 23% of Great Tits interrupt their normal laying sequence. The stronger reaction of the Blue Tit could be explained by a lower resistance to drops in temperature (cf. the more restricted range of the Blue Tit which does not extend to higher latitudes and altitudes). No differences could be found between one year old and older Great and Blue Tits in their tendency to interrupt egg-laying. Great and Blue Tits which interrupt their egg-laying did not differ in body-weight from individuals which did not. No differences in clutch size between clutches with and without laying interruptions could be found. The eggs laid by Great Tits after an interruption are larger than the eggs laid prior to an interruption. In Blue Tits no difference could be observed. The prolonged laying period of clutches with laying interruptions did not influence hatching success. It is suggested that interruptions during egg-laying in Great and Blue Tits make it possible to colonize areas with bad weather and poor food conditions during the egg-laying period.
    Notes: Zusammenfassung Im Raum Schlüchtern, Hessen (50° 21′ N, 09° 31′ E), unterbrachen Kohlmeisen(Parus major), Blaumeisen(P. caeruleus), Sumpfmeisen(P. palustris), Trauerschnäpper(Ficedula hypoleuca) und Kleiber(Sitta europaea) bei Kälteeinbrüchen ihre normale Legefolge für einen oder mehrere Tage. Solche Legepausen traten bei Kohl- und Blaumeisen in allen fünf Untersuchungsjahren auf. Sie wurden in jedem Stadium der Legefolge beobachtet, waren jedoch nach Ablage der ersten Eier signifikant häufiger als in späteren Phasen. Legepausen konnten mit Ausnahme des Jahres 1977 nahezu über die gesamte Legeperiode festgestellt werden. Kohl- und Blaumeisen zeigten in länger anhaltenden Kälteperioden (Tagesdurchschnittstemperaturen zwischen 0 und 5 °C) mehrfach Legepausen von 8–10 Tagen. In Jahren, in denen ein hoher Anteil von Vögeln die normale Legefolge unterbrach, waren auch längere Legepausen festzustellen. Die Eiablage wurde in den meisten Fällen nicht unmittelbar nach einer Temperaturabsenkung gestoppt, sondern erst mit 2-bis 4tägiger Verzögerung. Im Durchschnitt unterbrachen 37% aller Blaumeisen-♀ und 23% aller Kohlmeisen- ♀ die normale Legefolge. Die stärkere Reaktion der Blaumeisen dürfte auf eine geringere Widerstandsfähigkeit gegenüber Temperaturabsenkungen zurückzuführen sein. Einjährige und mehrjährige Kohl- und Blaumeisen unterschieden sich nicht in ihrer Neigung, die Legefolge zu unterbrechen. Kohl- und Blaumeisen, die die Legefolge unterbrachen, unterschieden sich nicht hinsichtlich des Körpergewichts von ihren Artgenossen, die ihre Eiablage niemals unterbrachen. In der Gelegegröße zwischen ♀, die eine Legepause einlegten, und solchen mit normaler Legefolge bestand kein Unterschied. Bei Kohlmeisen waren die nach Legepausen abgelegten Eier größer als die vor Legepausen gelegten. Die Schlüpfrate wurde durch die z. T. beträchtlich verlängerte Legezeit bei Bruten mit Legepausen nicht beeinflußt. Die Einschaltung von Legepausen trägt mit dazu bei, daß Kohl- und Blaumeisen Lebensräume besiedeln können, in denen während der Eiablagephase zeitweise sehr ungünstige Witterungs- und Nahrungsverhältnisse herrschen.
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    Journal of ornithology 124 (1983), S. 214-216 
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    Journal of ornithology 124 (1983), S. 233-250 
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    Description / Table of Contents: Summary Caused by severe winters in 1961–1963 the Bavarian breeding population break down to 250 breeding pairs. The population increased again to 400–500 breeding pairs in the following decade, but in 1972 the herons must be protected because of continuing decrease. In 1979 the population recovered to 1170 breeding pairs distributed in more than 70 colonies. Carrying capacity for Bavaria is 1300–1500 breeding pairs. Since 1981 the heron is pursued again in the surroundings of fish farms. Before protected, the rate of growth of the Bavarian breeding population was 0.008. Therefore the population could not compensate breakdowns by severe winters in sufficient time. The intrinsic rate of natural increase, rmax, is 0.222. The population increases with this rate from 1974–1977. In increasing heron populations the average colony size increases as well. This is due to the growth of bigger colonies. In contrary, small colonies are relatively constant in number and size. Therefore there is no possibility of population growth and survival in populations too small and splitted. The average colony size is a measure for the environmental quality for the heron in a region. The herons changed the roosting habitats due to the reinsertion of hunting. Heron numbers in fish farms depend mainly on the availability of fish prey and only weak on shooting or deterring. There is no indication, that fish harvests have increased due to heron hunting. The kill of the herons involved decreasing numbers of breeding pairs in parts of Bavaria and retarded the compensation of decreases due to the winter 1980/81. Small isolated populations will disappear soon. Heavily influenced may be small foreign populations like the Hessian one passing through Bavaria in autumn. Danger of extinction exists also for Purple Heron, Night Heron and Bittern in Bavaria. If the heron hunting will be proceeded, a controll of hunting success must be established and the herons should be used in a bioindicator programm.
    Notes: Zusammenfassung Nach den Kältewintern 1961–1963 brüteten in Bayern nur noch rund 250 Graureiherpaare. Im Verlauf des nächsten Jahrzehnts stieg der Bestand wieder auf 400–500 Brutpaare an; 1972 wurde ein Verbot des Tötens erlassen. 1979 brüteten wieder 1170 Graureiherpaare in mehr als 70 Kolonien. Die Grenzkapazität liegt in Bayern bei 1300–1500 Brutpaaren. Ab 1981 wird der Graureiher wieder bejagt. Die Wachstumsrate der bayerischen Brutpopulation lag vor der Schutzverordnung bei 0,008, d. h., Verluste durch strenge Winter konnten in der Regel nicht ausgeglichen werden. Die „maximale Wachstumsrate r“ liegt bei 0,222. 1974 bis 1977 nahm die Brutpopulation exponentiell mit dieser Rate zu. In wachsenden Reiherpopulationen steigt die durchschnittliche Koloniegröße, da der Zuwachs vor allem in bereits großen Kolonien erfolgt, während kleine Kolonien in Anzahl und Stärke relativ konstant bleiben. Bei kleinen, zersplitterten Beständen ist daher häufig keine Erholung mehr möglich. Die durchschnittliche Koloniengröße ist bei gesättigten Reiherbeständen ein Maß für die Qualität einer Region als Graureiher-Lebensraum. Auf die erneute Bejagung haben die Reiher in Bayern mit einer Veränderung ihrer Rastgewohnheiten reagiert. Da die Reiherzahlen an Fischteichen hauptsächlich vom verfügbaren Nahrungsgebiet abhängen, dürfte eine Steigerung der Fischerträge als Folge des Reiherabschusses kaum feststellbar sein. Als Folge der Bejagung gehen die Reiherbestände in Teilen Bayerns zurück bzw. verzögert sich die Erholung der Bestände nach den Winterverlusten 1980/81. Kleinere, isolierte Bestände wie in Mittelfranken sind im Erlöschen. Stark betroffen dürften auch ausländische Populationen sein. Vor allem die Erfolge hessischer Schutzbestimmungen sind in Gefahr. Wegen der hohen Verwechslungsgefahr sind auch die bayerischen Restbestände von Purpurreiher, Nachtreiher und Großer Rohrdommel stark gefährdet. Falls die Bejagung aus politischen Gründen aufrechterhalten wird, ist eine Bewirtschaftung der Reiherbestände durch kontrollierte Abschußpläne und die Nutzung der erlegten Vögel in einem Bioindikatorprogramm zu fordern.
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    Journal of ornithology 124 (1983), S. 307-330 
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    Journal of ornithology 124 (1983), S. 330-330 
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    Journal of ornithology 124 (1983), S. 331-332 
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    Journal of ornithology 124 (1983), S. 447-458 
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    Journal of ornithology 124 (1983), S. 431-445 
    ISSN: 1439-0361
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Description / Table of Contents: Summary In a three year study of the breeding biology of hole nesting passerines in two study areas in the center of Frankfurt (city areas FGW and ZOO) were compared with two study areas in the countryside near Schlüchtern (BRE and PAW). In the city only Great Tit and Blue Tit were found, whereas in the countryside also Marsh Tit, Coal Tit, and Pied Flycatcher. The breeding density of Great and Blue Tits varied considerably; one of the city areas (FGW) showed the highest, the other (ZOO) the lowest density. We found no evidence for regulation of numbers by interspecific competition between Blue and Great Tits. However, there was a strong intraspecific competition. In both Blue and Great Tits many one year old males did not breed. The mortality of adult female Great Tits in one of the city areas was lower than in the countryside in one of three years. The other years revealed no difference. The clutch size differed significantly between the city and the countryside. The mean clutch size in FGW was 7,6 and in ZOO 7,7, whereas in BRE and PAW clutch sizes were 9,2 and 9,3 respectively. Hatching success was rather high in all study areas (72–86 %). Fledging success, however, varied considerably. In the city areas only 68 % (FGW) and 34 % (ZOO) of the Great Tit nestlings fledged, whereas in the countryside fledging success varied from 81 % (PAW) to 88 % (BRE). The weight of nestling Great Tits was significantly lower in the city than in the countryside area PAW. The study shows that Great Tits may cope with urban habitats if they can find a refuge (like FGW) from which population surplus can immigrate into less suited habitats (like ZOO).
    Notes: Zusammenfassung In zwei Frankfurter Kontrollgebieten (FGW und ZOO) brüteten weniger Arten als in solchen des Umlandes (BRE und PAW). In den Stadtbiotopen waren Sumpfmeise, Tannenmeise und Trauerschnäpper nicht vertreten, Kohl- und Blaumeisen jedoch in allen vier Kontrollgebieten. Die Siedlungsdichte unterschied sich jedoch erheblich: Die höchsten Werte erreichte das Gebiet FGW, die geringsten das Gebiet ZOO. In keinem der vier Kontrollgebiete konnten Anzeichen für interspezifische Konkurrenz zwischen Kohl- und Blaumeise festgestellt werden. In dem extrem dicht besiedelten Gebiet FGW kam es dagegen sowohl bei Kohl- als auch bei Blaumeisen zu einer starken Verdrängung einjähriger ♂ durch mehrjährige. Die Altvogelsterblichkeit bei Kohlmeisen-♀ war in einem der drei Untersuchungsjahre in den Frankfurter Gebieten merklich geringer als in stadtfernen Gebieten. Die Mittelwerte der Gelegegröße bei der Kohlmeise betrugen für FGW und ZOO 7,6 bzw. 7,7, für BRE und PAW 9,2 bzw. 9,3 Eier. Die Schlüpfrate lag relativ hoch (72 bis 86 %). In den Stadtgebieten wurden jedoch nur 34 bzw. 68 % der Kohlmeisen-Nestlinge flügge, in Schlüchtern dagegen 81 bzw. 88 %. Die durchschnittlichen Jungvogelgewichte lagen in der Stadt bedeutend niedriger. Signifikante Unterschiede waren zum Teil schon vom 5. Nestlingstag an feststellbar. Kohlmeisen sind durchaus in der Lage, sich an die Lebensbedingungen städtischer Biotope anzupassen. Voraussetzung dafür sind jedoch naturnahe, günstige Verhältnisse (z. B. FGW). Unter solchen Bedingungen vermögen die Populationen nicht nur ihren eigenen Bestand aufrechtzuerhalten; sie tragen darüber hinaus auch zur Auffüllung benachbarter pessimaler Stadtbiotope bei.
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    Helgoland marine research 36 (1983), S. 285-302 
    ISSN: 1438-3888
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Moult cycle and morphogenesis in larval instars (zoea I, zoea II, megalopa) of the spider crabHyas araneus (L.) were studied in the laboratory. Changes in the epidermis and cuticle were documented photographically at daily intervals to characterize the stages of the moult cycle. Stage A (early postmoult) is a very short period during which the larva takes up water. During late postmoult (B) and intermoult (C) the endocuticle is secreted, and there is conspicuous epidermal tissue condensation and growth. The onset of early premoult (D0) is characterized by epidermal apolysis, occurring first at the bases of the setae in the telson of zoeal instars or in the rostrum of the megalopa, respectively. Intermediate premoult (D1) is the main period of morphogenesis, in particular of setogenesis: in the setae of the zoeal telson and carapace there is invagination or (in the zoea II) degeneration of epidermal tissues. Formation of new setae in the interior of epidermal tubules was observed in zoeal maxillipeds and in the antennae of the zoea II and megalopa instars. During late premoult (Stages D2–4) part of the new cuticle is secreted, and the results of morphogenesis become clearly visible. For technical reasons (rigid exoskeleton) only a preliminary account of the moult cycle in the megalopa can be given. A time schedule is suggested for the stages of the moult cycle. It is estimated that postmoult (A–B) takes ca 9 to 15 % of total instar duration, intermoult (C) ca 22 to 37 %, and premoult (D) ca 48 to 69 %. There is an increasing trend of relative portions of time (% of total instar duration) from instar to instar in Stages A–C (mainly in the latter) and a decreasing trend in Stage D (mainly in D0 and D2–4).
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