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  • Articles  (118,722)
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  • 1
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    Springer
    Bulletin of mathematical biology 40 (1978), S. 45-58 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract For certain environments, the Darwinian model allows unique prediction of a function that any surviving system adapted to such an environment has to perform. This is the case for those environments that determine a “survival functional” of position in space-time of known shape. Purely temporal survival functionals can be distinguished from spatial and mixed ones. In each case, there exists an optimum path in combined physical and (reduced) metabolic space. Dependent on the admissible error, approximate solutions of different complexity are sufficient. All solutions possess an afferent, a central, and an efferent part. Within this general frame, specific, “probably simplest”, solutions are proposed for adaptive chemotaxis, insect locomotion, lower vertebrates locomotion, higher vertebrates locomotion, chronobiological systems, and immune systems, respectively—or rather, for the underlying functionals.
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  • 2
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    Bulletin of mathematical biology 40 (1978), S. 59-77 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Mathematical models afford a procedure of unifying concepts and hypotheses by expressing quantitative relationships between observables. The model presented indicates the roles of both insulin and glucagon as regulators of blood glucose, albeit in different ranges of the blood glucose concentrations. Insulin secretion is induced during hyperglycemia, while glucagon secretion results during hypoglycemia. These are demonstrated by simulations of a mathematical model conformed to data from the oral glucose tolerance test and the insulin infusion test in normal control subjects and stable and unstable diabetic patients. The model studies suggest the parameters could prove of value in quantifying the diabetic condition by indicating the degree of instability.
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  • 3
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    Bulletin of mathematical biology 40 (1978), S. 123-131 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract A model for the dynamics of a single-species population whose birth rate depends on densities of previous generations is introduced. A difference equation formulation is proposed and the solutions classified for the various parameter values. Data from an experimental population of mice growing in limited space is cited and compared with the model predictions.
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  • 4
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    Bulletin of mathematical biology 40 (1978), S. 161-182 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract All soft tissues are modeled as either one-dimensionalstrings, two-dimensionalmembranes, or three-dimensionalsolids. Attention is restricted to tissues in which one of the principal stress components is large and positive in comparison with the other negligible components. Results indicate the following: (1) If a deformed string isconstrained to lie on a surface and is free of tangential pressure, the tension is carried by rays which are geodesics of the surface. If a string or membrane isfree to deform in space without normal pressure, the tension rays are straight lines. If a membrane deforms without tangential surface loads, the tension rays are always geodesics on the deformed surface. If a solid deforms without body forces, the tension rays are straight lines. (2) The stress in a string is a constant if the string is free of tangential pressure and has constant cross-sectional area. The stress in flat tension fields free of tangential surface loads decays inversely with distance along a tension ray from the edge of regression. The stress in a spherically symmetric tension field free of body forces decays inversely with the square of the distance from the center of the sphere. (3) Stress singularities can occur in soft tissues, such as at the corners of a closed rectangular hole in a flat membrane strip. (4) The tension rays in the torsion of soft annular membranes are more steeply inclined from the radial direction than the tension rays for hard metals equally displaced.
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  • 5
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    Bulletin of mathematical biology 40 (1978), S. 211-221 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Non-steady-state equations for kidney models are stated. General conservation relations for these equations are derived. Transient equations for the central core model of the renal medulla are developed. Solution of the equations by Laplace transform methods for time invariant volume flows is discussed. The general theory of solving models with time dependent flows by finite difference methods is developed.
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  • 6
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    Bulletin of mathematical biology 40 (1978), S. 513-524 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract The behavior of large systems of randomly-interacting variables is examined using an intentionally simplified model. The stable positive solutions are found to exhibit to a significant degree some well-known properties of ecological systems. This resemblance (including for example the predominance of “predator-prey” interactions) is all the more striking in view of the lack of biological “data” at the input end. The findings suggest it advisable to distinguish two kinds of properties in ecosystems. One kind would depend on specifically biological mechanisms; the other would characterize a wide class of persistent systems, and arise from the need for a dynamic balance between positive and negative feedback.
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  • 7
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    Bulletin of mathematical biology 40 (1978), S. 499-512 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract For the tumor model of Skipper and Zubrod, which has been analyzed previously for the theoretical FLM function and the effect of chemotherapy against tumors of known or assumed kinetic characteristics, the theoretical continuous labeling (CL) function is derived by considering an equivalent tumor (in terms of unlabeled cell populations) in which the density function of phase duration of cells inS-phasef 2(a 2)=δ(a 2−∞) and the loss functionL 2(t)=0. This mathematical concept of blocking is applied to the analysis of synchronization in tumor growth and blocking effects in cancer chemotherapy. These effects of chemical agents on the cell cycle progression are being incorporated into a previously written computer simulation program for cancer chemotherapy. Whereas, a program is written and used to simulate the CL functions for L1210 leukemia, and primary and metastatic Lewis lung carcinoma.
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  • 8
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    Bulletin of mathematical biology 40 (1978), S. 525-533 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Global stability is established in a class of prey-predator models. This includes a prey-predator model in which the predator has Type 2 functional response and no intraspecific interactions. Two simple examples demonstrate that Kolmogoroff’s theorem does not apply to some members of this class of models.
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  • 9
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    Bulletin of mathematical biology 40 (1978), S. 535-540 
    ISSN: 1522-9602
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    Notes: Abstract The skeletal muscle is regarded as a periodically deformed plate. An equation of energy for the biological tissue in the system is used in the Lagrange variables. With the heat exchange through the above tissues to the exterior media and also with account of some relations between the physiological factors the approximate analytical solution for this equation is obtained and compared with the physiological data.
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    Bulletin of mathematical biology 40 (1978), S. 541-545 
    ISSN: 1522-9602
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    Notes: Abstract One of Bobisud's (1976) models for the evolution, of cannibalism is discussed. His analysis is criticised for not being based on the principle of individual selection. Assuming the operation of that principle, we show by simulating his model that cannibals may establish themselves in a noncannibal population. This will happen both in cases where Bobisud concluded cannibalism to be optimal and in cases where he concluded cannibalism not to be optimal.
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    Bulletin of mathematical biology 40 (1978), S. 547-547 
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    Bulletin of mathematical biology 40 (1978), S. 549-579 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract The D'Arcy Thompson concept of biological transformations is developed in a form analogous to such physical concepts as the Law of Corresponding States in thermodynamics, and the Principles of Similitude found in engineering. We find that such concepts depend on a distinction between fundamental and derived quantities, in which the values assigned to the fundamental quantities set the natural scales for the derived ones. Among other things, we see that critical phenomena, such as phase transitions, arise as an immediate consequence of this distinction. In a biological context, we explore the implications of Thompson's hypothesis that closely related organisms are phenotypically similar, assuming that the organisms we see are the result of selection processes operating on phenotypes.
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    Bulletin of mathematical biology 40 (1978), S. 605-623 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract If information is coded in the combination of activities of many neurons operating in parallel, then information present in a network can be defined by the correlation of present network activity with the activity which had been elicited by a stimulus in the past; a high correlation indicates the presence of the previously encoded stimulus. Information is distributed in the network because coding is dependent upon the activities of all cells. A model based on Hartline-Ratliff lateral inhibition with a time delay shows that lateral inhibition can distribute information across a parallel network, reduce output noise, and also briefly store information. With no changes in model parameters, and the use of a correlation measure for recognition, the model can stimulate psychophysical results in eleven variations of the metacontrast masking paradigm.
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  • 14
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    Bulletin of mathematical biology 40 (1978), S. 581-604 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract A theory is derived to calculate the regional and total deposition of aerosol particles in the nasal passages during inhalation. The particle size studied range from 0.2 to 10.0 μm diameter. The deposition is calculated in five regions; (I) the region filled with nasal hair, (II) the nasal valve, (III) the expansion region, (IV) the turbinate region and (V) the posterior bend. Equations are derived to determine the deposition caused by direct impaction on the nasal hairs and bends of the passages. The calculations show the deposition due to direct impaction does not account for the amount or location of deposited particles measured in experiments. Secondary flows have been speculated to exist in the expansion region after the nasal valve and an equation is derived to estimate the deposition caused by the secondary flows. The calculated deposition, due to direct impaction and secondary flows, shows general agreement with the experiment as to the predicted amount and location of deposited particles.
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  • 15
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    Bulletin of mathematical biology 40 (1978), S. 625-635 
    ISSN: 1522-9602
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    Notes: Abstract The paper reviews a series of models for circadian clocks and discusses their conclusions and predictions. Attention is focused on Pittendrigh's empirical model, two mathematical models by the author and Winfree's work.
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  • 16
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    Bulletin of mathematical biology 40 (1978), S. 637-649 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract From a model of facilitated ionic transport across axonal membranes proposed by McIlroy (1975), the equipotentials and electric field distributions in the vicinity of a potassium conducting pore and of a sodium conducting pore are computed and presented as two-dimensional mappings. The model is then extended to include the effect of impurity ions in the conducting pores viz. of potassium ions in a sodium pore and of sodium ions in a potassium pore. The ionic selectivities and permeabilities of the transported species are discussed in relation to the extended model. Bounds are deduced for the ionic selectivity coefficients for both the sodium and potassium current-carrying systems in squid giant axons and the electric-field distributions in the vicinities of the pores are computed for the extended model and compared with the impurity-free fields first calculated. Finally the permeability coefficients defined in terms of the extended model are shown to reconcile the results of attempts to measure permeability by means of radioactive tracer techniques, with the classical description of the resting nerve.
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    Bulletin of mathematical biology 40 (1978), S. 661-669 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract The partial differential equations describing transcapillary exchange and subsequent removal of solutis from an idealized liver sinusoid are amenable to solution by similarity analysis. The power and utility of this technique, which is not widely appreciated as a method for solving biological models, is illustrated here for a system whose Laplace transforms is difficult to invert.
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  • 18
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    Bulletin of mathematical biology 40 (1978), S. 671-674 
    ISSN: 1522-9602
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    Notes: Abstract The phenomenological theory for the chemotaxis and consumption of oxygen by motile aerobic bacteria is shown to yield a remarkably simple one-dimensional steady-state solution for a congregation of bacteria close to the surface of an oxygen-depleted aqueous medium.
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  • 19
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    Notes: Abstract In this paper biological compartmental models are considered which take into account the intrinsic randomness of the transport rate parameters and their possible variability in time. An identification procedure is presented for the estimation of the stochastic processes representing the transport rate parameters of a compartmental model from a noisy input-output experiment. The problem is formulated in terms of nonlinear filtering. A simple model is discussed for the case in which the transport rate parameters are independent of each other. The possibility of testing possible important features of the behavior of the transport rate parameters is also evidenced.
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    Bulletin of mathematical biology 40 (1978), S. 853-863 
    ISSN: 1522-9602
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    Notes: Abstract For any essentially nonlinear system of reaction-diffusion equations of the generic form ∂ci/∂t=Di∇2ci+Qi(c,x,t) supplemented with Robin type boundary conditions over the surface of a closed bounded three-dimensional region, it is demonstrated that all solutions for the concentration distributionn-tuple function c=(c 1(x,t),...,c n (x,t)) satisfy a differential variational condition. Approximate solutions to the reaction-diffusion intial-value boundary-value problem are obtainable by employing this variational condition in conjunction with a Galerkin-Ritz procedure. It is shown that the dynamical evolution from a prescribed initial concentrationn-tuple function to a final steady-state solution can be determined to desired accuracy by such an approximation method. The variational condition also admits a systematic Galerkin-Ritz procedure for obtaining approximate solutions to the multi-equation elliptic boundary-value problem for steady-state distributions c=−c(x). Other systems of phenomenological (non-Lagrangian) field equations can be treated by Galerkin-Ritz procedures based on analogues of the differential variational condition presented here. The method is applied to derive approximate nonconstant steady-state solutions for ann-species symbiosis model.
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    Bulletin of mathematical biology 40 (1978), S. 873-875 
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    Bulletin of mathematical biology 40 (1978), S. 1-25 
    ISSN: 1522-9602
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    Notes: Abstract The geometrical nature of the Elementary catastrophes (Thom, 1969) is reviewed. Histories of the movement of catastrophe manifolds and bifurcation sets are presented for some of the space-equivalent unfoldings described by Wassermann (1975). These unfoldings provide descriptions of the variation with time of the stability of stationary states of associated potential energy functions. Identification of these stationary energy states with stationary states of a system therefore provides a description of its behavior with time. Qualitative descriptions of this type are particularly useful when the complexity of a system prevents a detailed quantitative description. Histories of bifurcation set movements suggest different types of system behavior at different space-like coordinates. This type of theory may be a useful model for the processes leading to differentiation of cells and to emergence of adult forms of a biological organism.
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    Bulletin of mathematical biology 40 (1978), S. 27-44 
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    Notes: Abstract Three conjectures are given which predict the existence of unique stable limit cycle oscillations in a class of piecewise linear (PL) differential equations. The equations are appropriate to model biological or other complex systems in which there are switchlike interactions between the elements of the network. Methods are presented which can be used to develop mathematical models which are conjectured to display stable limit cycle oscillations, from qualitative experimental information about relative phases of activity in the dynamical systems. Several illustrative numerical examples are given, and one experimental example from neurobiology is discussed.
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    Bulletin of mathematical biology 40 (1978), S. 79-93 
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    Notes: Abstract The formulation and results of the Kalman State Regulator Problem are applied to a mathematical model of the arterial system of a dog to obtain an optimal control for blood pressure. The criterion for optimality is minimum energy per cycle.
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    Bulletin of mathematical biology 40 (1978), S. 95-105 
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    Notes: Abstract A mathematical model is developed in state variable form suitable for the study of the control of blood pressure and flow in the mammalian cardiovascular system. The applicability of the model to steady state, both mean and pulsatile, and transient phenomena is demonstrated by the agreement of the results with experimental data. This model was developed to study the neural and renal-endocrine-electrolyte control of cardiovascular functions.
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    Bulletin of mathematical biology 40 (1978), S. 133-160 
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    Notes: Abstract As a contribution to the discussion of oscillatory models for interacting species it is shown that two-species Volterra models can never have limit cycles, and a complete enumeration is given of conditions which the parameters of these models must satisfy in order that a part of the phase space be filled with a family of closed curves; sketches of phase portraits are also given. These results complement and correct older results by Bautin and by Coppel on quadratic differential systems. The paper opens with a brief discussion of some more practical aspects of the ecological application of oscillatory models.
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    Bulletin of mathematical biology 40 (1978), S. 107-121 
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    Notes: Abstract The purpose of this paper is to present a method for the determination of a solution for a coupled system of first order initial boundary-value problems arising from some biological systems. The physical problem is to determine the suspended and the superficial molecular concentrations of a traced substance passing through an organ containing a tangle of vessels, such as the kidney-ureter system. The approach to the problem is by successive approximation which leads to a recursion formula for the determination of the solution as well as error estimates for the approximations. The recursion formula involves only direct integration which indicates a promising possibility in obtaining numerical results by using a computer. In addition to the determination of a solution, some qualitative analysis of the solution is given. This includes the existence of a unique solution, the continuous dependency of the solution on the data, and the stability problem of a steady-state solution.
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    Bulletin of mathematical biology 40 (1978), S. 183-199 
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    Notes: Abstract In Part I, the general solution of the heat transport equation was given for a medium of constant thermal properties, containing a general convection fieldv(r,t). Starting from this general solution, an average or “macroscopic” temperature distribution is calculated in this paper, since in most physiological problems only an average or “macroscopic” temperature is accessible to the measurement. It is shown that the averaged temperature distribution is influenced alone by the order of the local symmetries of the convection field. These local symmetries can be deduced from anatomical data on the vascular architecture. In order to perform the averaging process, a detailed discussion, and an estimate of the correlation between the microscopic temperature variation and the convection field is carried out. Hereby, great emphasis is put on the experimental consequences of these results. As an illustrative example, the calculation of the macroscopic temperature distribution in a medium traversed by parallel capillaries is outlined.
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    Bulletin of mathematical biology 40 (1978), S. 201-209 
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    Notes: Abstract The study of current flow fields in biologicaltissue requires finding the potential field from dipole sources such that the normal gradient vanishes at the exterior surface. A convenient way to determine the dipole field is by taking the gradient of the potential field set up by a point source. However, the point source problem is ill-posed when the normal gradient is required to vanish at the outer surface. In the paper the nature of this problem is discussed and several methods for overcoming the difficulty are presented.
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    Bulletin of mathematical biology 40 (1978), S. 223-235 
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    Notes: Abstract An analysis of the hydrodynamics of aqueous flow in the posterior chamber of the anterior segment of the eye is presented. The viscid, incompressible description of fluid dynamics in a spherical geometry is utilized to reduce the problem to a biharmonic-type equation using a “Stokes Stream Function”. Analogous to Poiseuille flow in a cylindrical pipe, velocity profiles are deduced and an Ohms Law relationship between pressure and flow is derived in terms of the geometry of the assumed model. This result is then incorporated into a synthesized electric circuit analog of flow between ciliary artery and episcleral vein. Applications to open angle and pupilary block glaucoma are discussed.
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    Bulletin of mathematical biology 40 (1978), S. 247-255 
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    Notes: Abstract With the assumption of dipole interaction with the membrane matrix, the dipole barrier under an applied field shows a minimum in its time transient. Kinetic equations governing the migration of ions are presented. Na+ activation, Na+ inactivation and K+ delay are all part of the same mechanism in this model with no other separate assumptions needed. Voltage Clamp equation and action potential equation are presented.
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    Bulletin of mathematical biology 40 (1978), S. 265-269 
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    Notes: Abstract A metabolic model for copper is derived and presented in the context of the International Commission on Radiological Protection (ICRP) dosimetry models for the lungs and gastrointestinal tract.
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    Bulletin of mathematical biology 40 (1978), S. 257-264 
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    Notes: Abstract The analytical conditions by which a Volterra's general system describingn interacting species can be put in the “conservative” form have been examined. The cases forn=2, 3, 4 have been analyzed in detail and a general condition for any value ofn is deduced. The analytical and biological constraints following by this approach are compared to the conclusions drawn by Leigh on the ground of purely biological considerations.
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    Bulletin of mathematical biology 40 (1978), S. 237-246 
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    Notes: Abstract General formulation of stochastic single- and multi-compartment reversible systems with time-dependent transitions is made. The correspondence between the stochastic mean and the deterministic value is established in case of time-dependence and it is shown how the consequence of this can be utilized to compute the distribution and the moments of each individual compartment of the system. A two-compartment reversible system previously proposed by Cardenas and Matis (1975a) is analyzed on the basis of the theory.
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    Bulletin of mathematical biology 40 (1978), S. 271-272 
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    Bulletin of mathematical biology 40 (1978), S. 319-333 
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    Notes: Abstract Optimal control theory is applied to the problem of controlling pests by biological and chemical means simultaneously. The net birth rate of the pests is controlled chemically while at the same time predators are allowed to operate. Several numerical examples are included.
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    Bulletin of mathematical biology 40 (1978), S. 273-300 
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    Notes: Abstract Transient solutions are developed for the buildup of a concentration gradient in the single loop solute cycling model of the renal medulla. The “pump” from ascending limb to descending limb is considered in both unsaturated and completely saturated modes of operation. Both analytic solutions and semianalytic solutions obtained from inverting Laplace transforms are considered. The classic representation of concentration buildup by the multiplication process is compared with calculated profiles. The “single effect” is found to vary both in time and space.
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    Bulletin of mathematical biology 40 (1978), S. 335-345 
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    Notes: Abstract In this study the possibility of applying the asymptotic method of Krylov-Bogoliubov-Mitropolskii to problems of population dynamics is shown. Especially a general Volterra-Gause-Witt type model for prey-predator interaction is investigated. A discussion on the results obtained is given for the general model and for a particular case as well.
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    Bulletin of mathematical biology 40 (1978), S. 301-318 
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    Notes: Abstract The analytical exploration of hierarchical structures is a central problem in modern biology. In many ways, the most basic tenet of any theory of any biological system is that its behavior lies within the laws of thermodynamics. Thus an investigation into the hierarchical structure of field thermodynamics is in effect an investigation into the underlying structures common to all biological systems. In field thermodynamics, the dynamics is prescribed at the hierarchical level of description concerned with the motions of classes of the various molecular species flowing in the system. Of crucial importance are scale factors which convert potentials into potential energies per mole of the various molecular species. On the other hand, the overall behavior of the system is presented at a higher hierarchical level of description in terms of systemic properties such as charge density or entropy density. Three questions are investigated: (1) how is the transition from the specific to the systemic level of description effected, (2) given the scale factors at the specific level how does one find those at the systemic level, and (3) what relationship can one, find between the scale factors at the two levels of description? Answering these questions necessitates an examination of the nature of the forces at the two levels of the hierarchy of descriptions.
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    Bulletin of mathematical biology 40 (1978), S. 369-376 
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    Notes: Abstract The identification of a linear compartment model, which may describe a chemical or biological process, is a difficult task, since the available data is generally limited. In this paper we propose a method for determining the state transition matrix by minimizing a given quadratic criterion. To solve the resulting matrix equation, an assumption has to be made which constitutes a necessary condition for the identifiability of the model. Moreover when this assumption is satisfied, it is shown that the knowledge of one line or one column of the transition matrix is sufficient to define it completely.
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    Bulletin of mathematical biology 40 (1978), S. 359-368 
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    Notes: Abstract The two-element muscle model considered consists of a contractile element defined by a hyperbolic force-velocity relation connected in series with an “exponential spring”. Differential equations for the isometrically developed force during a tetanic contraction and the corresponding contractile element shortening velocity are derived and their stability is investigated. Analytical solutions to both equations are obtained. Two numerical examples are given, the second chosen to illustrate pressure-induced hypertrophy of a cardiac muscle.
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    Bulletin of mathematical biology 40 (1978), S. 347-358 
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    Notes: Abstract We study a two-type, age-dependent branching process in which the branching probabilities of one of the types may vary with time. Specifically this modification of the Bellman-Harris process starts with a Type I particle which may either die or change to a Type II particle depending upon a time varying probability. A Type II particle may either die or reproduce with fixed probabilities but may not return to a particle of Type I. In this way the process models the lag phenomenon observed in microbe growth subsequent to transfer to a new culture medium while the organism is adapting to its new environment. We show that if the mean reproduction rate of Type II particles exceeds 1, then the population size grows exponentially. Further the extinction probability for this process is related to that of the Bellman-Harris process. Finally the governing equations are solved for several choices of the growth parameters and the solutions are graphically displayed showing that a wide variety of behavior can be modeled by this process.
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    Bulletin of mathematical biology 40 (1978), S. 377-385 
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    Notes: Abstract This paper studies the effect of harvesting a fraction of a population where the population growth is modelled by a linear age-dependent model, the Von Foerster equation. Two harvesting strategies are considered: the first is where a fraction of the population greater than agec is removed, and the second is where a fraction of the population of age greater thanc but less thanc+n is removed. In the case where the death rate and fertility rate are time independent, the effect of harvesting on the stable age distribution is examined.
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    Bulletin of mathematical biology 40 (1978), S. 425-426 
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    Bulletin of mathematical biology 40 (1978), S. 387-410 
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    Notes: Abstract The general means are set forth by which, in a highly speciated Volterra eco-system, the bifurcation of a species into two in a competitive-exclusion configuration, provides a description of odd as well as even systems. The the Gibbs ensemble theory earlier developed is extended to grand ensembles in which the number of ecotypical species in genera-like clusters is allowed to be variable. The probability law for the sizes of clusters is deduced, and shown very closely to imply independent Poisson statistics for the cluster sizes, in answer to a fundamental issue of bioevolution. The role of the eco-analogs of Gibbs’ chemical potentials is brought forth, with a suggestion of how to describe cluster-to-cluster eco-genetic flows, and therewith a definite relationship between the degrees of speciation of genetically linked clusters on the one hand, and amplitudes of population fluctuations of member species within the clusters on the other hand.
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    Bulletin of mathematical biology 40 (1978), S. 427-427 
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    Bulletin of mathematical biology 40 (1978), S. 411-424 
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    Notes: Abstract Solutions of the Poisson-Boltzmann equation yield potential profiles and equilibrium distributions of ions on either side of a spherical shell membrane across which there exists a separation of ionic charges. For the special case in which the membrane is permeable to only one ion the total charge separation is analyzed in terms of the potential difference given by the Nernst equation. Potential profiles and ionic charge distributions are also given for situations involving a uniform distribution of fixed charges within the membrane.
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    Bulletin of mathematical biology 40 (1978), S. 429-450 
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    Notes: Abstract The recently proved classification theorem of René Thom has led to the development of the new science of Catastrophe Theory. This theory has been widely held to be particularly relevant in biological applications. The present paper presents a simplified proof of Thom’s Theorem and assesses its importance in biology.
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    Bulletin of mathematical biology 40 (1978), S. 451-464 
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    Notes: Abstract A mathematical model describes the mechanical behaviour of ventricular aneurysms assuming a spherical geometry for the left ventricle. Employing pressure-volume data obtained from normal dog hearts 1–2 hours after infarction, conditions are obtained on infarct thickness and angle of damage for ventricular rupture to occur. The results indicate that rupture is more likely to occur in the early period following infarction and that the dominant factor is the per cent thickness of the infarct.
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    Bulletin of mathematical biology 40 (1978), S. 483-498 
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    Notes: Abstract A deterministic investigation of a linear differential equation system which describes predator vs prey behavior as a function of equilibrium densities and reproductive rates is given. A more realistic structure of this model in a stochastic framework is presented. The reproductive rates and initial population sizes are considered to be random variables and their probabilistic behavior characterized by various joint probability distributions. The deterministic behaviors of the prey and predator species as functions of time are compared with the mean behaviors in the stochastic model.
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    Bulletin of mathematical biology 40 (1978), S. 465-482 
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    Notes: Abstract The effects of ventricular geometry, muscle mass, muscle elasticity and external pressures on the pressure-volume and muscle stiffness-stress relations have been quantitated on the basis of a theoretical model. Data taken from patients before and after interventions with nitroprusside and angiotensin were applied to the model in order to explain the possible causes for the marked shifts in the pressure-volume relations. The results indicate that (a) ventricular geometry does not markedly alter the pressure-volume and stiffness-stress relations unless there is a drastic change from a spherical shape to an ellipsoidal shape orvice versa, (b) increases in muscle mass and muscle elasticity of the order of 30% result in significant alterations in the P-V relations but are not the cause for the parallel shifts unless accompanied by substantial external pressures, (c) the parallel shifts in the pressure-volume relations can be accounted for entirely by the presence of external pressures without changes in muscle mass or muscle elasticity. Thus manipulation of right ventricular pressures or pericardial pressures by drug interventions may be useful in the treatment of left heart disease and the presence of such pressures must be considered in the analysis of ventricular function curves.
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    Bulletin of mathematical biology 40 (1978), S. 675-692 
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    Notes: Abstract This paper summarizes in a nonmathematical way the major properties of coupled oscillators which relate to circadian rhythms. For certain values of the coupling strength it is far easier to maintain synchrony than to achieve it among the various interacting units. This property not only simulates the free run period lability but also the effects of critical pulses.
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    Bulletin of mathematical biology 40 (1978), S. 707-718 
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    Notes: Abstract A deterministic model for a multi-agent disease epidemic with asymptomatic attacks is proposed and investigated. The limitations inherent in the assumptions of the model are discussed in connection with specific agents of disease. The mathematical treatment of the model is separated into analyses of the equilibrium situation and the transient behavior of the disease outbreak. Explicit formulas are derived for the number of susceptibles in the population as well as for the numbers of each type of infective—those with and without symptoms. These theoretical results are followed by a discussion of the practical considerations which must be taken into account to obtain useful information from the model.
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    Bulletin of mathematical biology 40 (1978), S. 719-726 
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    Notes: Abstract The recently observed enhancement, by laser irradiation, of the specific activity of the enzyme chymotrypsin (which hydrolyses Benzoyl-L-tyrosine-ethyl ester) at low enzyme concentration is considered. The enhancement of the reaction rate is attributed to a coherently excited state of the enzyme molecule (activated through Raman scattering of the laser light) following a prediction due to Fröhlich. The model is described, the kinetics of the process is framed and the observed enzyme-concentration dependence of the specific activity is reproduced. Predictions of the model are delineated to urge verification of the main contentions through further experimentation.
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    Bulletin of mathematical biology 40 (1978), S. 693-706 
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    Notes: Abstract The deposition of aerosol particles in the human lung airways is due to two distinct mechanisms. One is by direct deposition resulting from diffusion, sedimentation and impaction as the aerosol moves in and out of the lung. The other is an indirect mechanism by which particles are transported mechanically from the tidal air to the residential air and eventually captured by the airways due to intrinsic particle motion. This last mechanism is not well understood at present. Using a trumpet airway model constructed from Weibel's data, a two-component theory is developed. In this theory, the particle concentrations in the airways and the alveoli at a given airway depth are considered to be quantitatively different. This difference in concentrations will cause a net mixing between the tidal and residential aerosol as the aerosol is breathed in and out. A distribution parameter is then introduced to account for the distribution of ventilation. The effect of intrinsic particle motion on the aerosol mixing is also included. From this theory, total and regional deposition in the lung at the steady mouth breathing without pause is calculated for several different respiratory cycles. The results agree reasonably well with the experimental data.
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    Bulletin of mathematical biology 40 (1978), S. 727-734 
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    Notes: Abstract The Abel type differential equation governing the kinetics of the enzyme reactions is derived. Approximate solutions of this equation corresponding to the transient phase of the reaction, before a steady state is reached, are considered. It is shown that in several cases it is possible to obtain explicit, approximate solutions to the transient phase.
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    Bulletin of mathematical biology 40 (1978), S. 735-742 
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    Notes: Abstract Maximum and minimum principles for the steady-state finite cable model of nerve membranes are derived from the canonical theory of complementary variational principles. An accurate variational solution is obtained in an illustrative calculation.
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    Notes: Abstract The paper presents a qualitative analysis of the following systems ofn differential equations: $$\dot x_i = x_i x_j - x_i \sum\nolimits_r^n { = 1} x_r x_s {\mathbf{ }}(j = i - 1 + n\delta _{i1} {\mathbf{ }}and{\mathbf{ }}s = r - 1 + n\delta _{r1} )$$ , which show cyclic symmetry. These dynamical systems are of particular interest in the theory of selforganization and biological evolution as well as for application to other fields.
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    Bulletin of mathematical biology 40 (1978), S. 771-789 
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    Notes: Abstract Bifurcation theoretical and numerical analyses of one of Turing's models are performed. It is shown that at the first instability point of the homogeneous state the bifurcating branches aresubcritical, and thus emerge as unstable solutions. This, together with the presence of concentration-independent sink terms is responsible for the solutions becoming negative ast→∞. It is pointed out that this deficiency is an accident related to the choice of the model, and that the general idea of symmetry-breaking is perfectly compatible with the generation of regular morphogenetic patterns.
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    Bulletin of mathematical biology 40 (1978), S. 807-821 
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    Notes: Abstract Several models have been proposed to underststand the patterns of nerve impulses produced by periodic stimuli. This paper shows that for a very large class of such models there exists a pattern of phases that repeats periodically after a finite number of pulses; the actual pulses produced by the model depend on its initial condition, but in all cases they either follow such a pattern or approach it asymptotically.
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    Bulletin of mathematical biology 40 (1978), S. 791-805 
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    Notes: Abstract The global force-flow equations of nonequilibrium thermodynamics are obtained by solving the local equations of motion for a system ofn-components (n−1 solutes plus water) passing through a membrane. When viscous forces and position dependent membranepermeating species frictional interactions are considered, it becomes more difficult to obtain the result because even the stationary state problem becomes one of solving a second order linear ordinary differential equation for the barycentric velocity in a space divided inton+1 regions. Using the continuity of the boundary velocities and their gradients as well as the usual boundary conditions for the hydrodynamic problem, a set of 2n+1 linear equations in the intergration constants can be obtained and a closed form solution is possible. The resultant global description of the system does not obey Onsager reciprocity. What is more, the interpretation of global phenomenological coefficients in terms of local interactions in any simple way is next to impossible. This makes the hope of a molecular level interpretation of phenomenological membrane transport coefficients very slim. The relevance of this finding to the validity of reductionist approaches to biological transport is discussed.
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    Bulletin of mathematical biology 40 (1978), S. 823-837 
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    Notes: Abstract A mathematical model of transmural transport of oxygen to a metabolizing retina is presented based on the equations of fluid dynamics. The equations of oxygen transfer are derived and then solved subject to the condition that the capillaries begin to transport oxygen at an initial time. The resulting transient analysis gives us insight into how diffusive and filtrative processes lead to the oxygen distributions both inside and outside capillaries. On the other hand, the steady state solution allows us to predict the cutoff intraocular pressure above which no oxygen is transferred to retinal tissue. It also gives quantitative relationships which allow us to postulate how intracapillary hypertension counterbalances elevated intraocular pressures and how low pressure glaucoma may arise from ineffective diffusive and filtrative processes of oxygen transport.
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    Bulletin of mathematical biology 40 (1978), S. 839-851 
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    Notes: Abstract An analysis of the interactions among asymptotically stable dynamical systems is formulated by making use of the dynamical system theory. Some results coming from previous mathematical analyses have been slightly modified to take into account some typical biological constraints as the boundedness properties of the solutions. In particular it has been shown that when the “coupling” among the subsystems is “loose” enough (in a sense that has to be made mathematically precise) the asymptotic behaviour of a complex system is the same of that of its individual components. The mathematical theory has been used to analyze two systems of biological significance: the coupling among chemical reactions and the stability properties of a 4-dimensional system describing the kinetics of a chemical transmitter.
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    Bulletin of mathematical biology 40 (1978), S. 865-872 
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    Notes: Abstract This note supplies missing details and corrects some mathematical errors in the recent significant paper by Auchmuty and Nicolis (1975).
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    Polymer bulletin 1 (1978), S. 11-15 
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    Notes: Abstract Lifetime of the propagating species and initiation rate constants (ki) were evaluated for the cationic polymerization of p-methoxystyrene initiated by I2, CH3SO3H, BF3O(C2H5)2, and SnCl4. The lifetime was found to be fairly long, ranging from 0.2 to several seconds in 1,2-dichloroethane at 30°C; that for the intermediate generated by iodine (2–6 s) much exceeded the others. The ki value increased in the order: I2 〈 CH3SO3H ≪ BF3O(C2H5)2 ∼ SnCl4.
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    Notes: Abstract The spontaneous aquation reaction of Co(NH3)5Br2+ was enhanced by addition of sodium polyethylenesulfonate, an anionic polyelectrolyte. The volume of activation was negative in the absence of the macroions and positive in their presence. This suggests that the macroions dehydrate the activated complex more strongly than the reactants, if it may be attributed solely to the solute-solvent interaction term.
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    Polymer bulletin 1 (1978), S. 35-39 
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    Notes: Summary The morphological influence of water-soluble polymers on the aqueous bilayer aggregate (vesicle and/or lamella) of didodecyldimethylammonium bromide was investigated by electron microscopy. Positively charged polymers and uncharged polymers either destroyed the aggregate or was ineffective. On the other hand, the negatively-charged copolymer of acrylamide and acrylate separated the bilayer and produced smaller vesicles.
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    Polymer bulletin 1 (1978), S. 47-53 
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    Polymer bulletin 1 (1978), S. 73-77 
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    Notes: Summary Both asparagine and isoasparagine were converted into polyaspartic acids by refluxing the corresponding aqueous solutions at neutral pH in the presence of a salt. The properties of the resulting polyaspartic acids were studied. The dissociation behavior of the carboxyl groups in the polypeptides were studied by the potentiometric titration. The analysis of the titrational data was performed by a modified Speakman's method. The analysis show that both polyaspartic acids prepared from asparagine and isoasparagine have α- and β-aspartyl residues and the ratio of α- and β-aspartyl residues is 75 ∶ 25∼85 ∶ 15. A possible mechanism for the formation of α- and β-aspartyl residues in the polymer was discussed.
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    Polymer bulletin 1 (1978), S. 181-189 
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    Notes: Conclusions The 13C NMR spectra of H-H PS and H-H PVCH show the influence of the long range order on the chemical shift of several carbons. There is some hope to improve the resolution by the choice of appropriate solvents. The attribution of the lines to specific stereosequences would require the preparation and separation of optically pure dimers and trimers. It is, however, already possible to compare the microstructure of H-H polymers prepared by different chemical ways.
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    Polymer bulletin 1 (1978), S. 215-220 
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    Notes: Summary Poly-l-lysines containing nucleic acid bases, that is, adenine, thymine, uracil and theophylline were synthesized. The nucleic acid base substituted l-lysine derivatives were prepared from α,N-Cbz-l-lysine and the p-nitrophenyl esters of the carboxyethyl derivatives of the nucleic acid bases. The polymers were obtained from these l-lysine derivatives by the NCA method.
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    Polymer bulletin 1 (1978), S. 205-210 
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    Notes: Summary Treatment of wood meal with aqueous alkali in the presence of anthraquinone at 80°C leads to a conversion of reducing hexose end groups in the polysaccharides to mannonic and gluconic acid end groups. Xylose end groups are oxidized to xylonic and lyxonic acid groups. This leads to a stabilization of the polysaccharides against endwise alkaline degradation.
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    Polymer bulletin 1 (1978), S. 61-66 
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    Notes: Abstract Polarized Raman spectra of doubly oriented samples of atactic poly(vinyl alcohol) have been measured. The great usefulness of such polarized spectra has been clarified for the vibrational analysis. The normal coordinate treatments of syndiotactic and isotactic poly(vinyl alcohol) chain models gave good agreement between the observed and calculated frequencies.
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    Polymer bulletin 1 (1978), S. 67-72 
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    Notes: Summary Concentrated solutions (〉20 wt%) of poly (γ -benzyl L-glutamate) (PBLG) were investigated using small angle light scattering (SALS). The gels and cholesteric liquid crystals formed in PBLG concentrated solutions, were analyzed in terms of theories previously developed for SALS from crystalline polymers. It was found that there are two types of the fibrillar aggregation of α-helices in gels and furthermore, two types of the orientation correlation of α-helices in cholesteric liquid crystals.
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    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Spontaneous alternating copolymerizations of 2-phenyl-1,3,2-dioxaphospholane (MN) with p- and with o-formylbenzoic acids (ME) were examined. The copolymerizations took place without catalysts affording the copolymer 3 via zwitterion 6. The copolymerizations involve the oxidation of the phosphorus monomer and the reduction of formylbenzoic acid. The scheme of the copolymerizations was presented. The yields of copolymers were quite different between these two copolymerizations. With ortho acid, the copolymer yield was low due to producing phthalide 4.
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  • 78
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    Polymer bulletin 1 (1978), S. 167-170 
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    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary A new reversible photochromic copolymer of maleic anhydride with styrene containing azo side groups was prepared. The system reacts to irradiation by a reversible trans-cis photoisomerization of light-sensitive azo groups. Irradiation also causes a change in the refractive index, so that the polymer may be employed in recording optical information in the form of phase hologram. The resolution of the material is higher than 2000 lines/mm. In spite of the large variability of organic compounds, according to available information only two groups of compounds have been utilized in the reversible recording of volume phase holograms. These are dimers of aromatic polycyclic hydrocarbons (Tomlinson et al. 1972) and stilbene derivatives (Anonym 1974). In this paper we describe a new reversible material for recording volume phase holograms (Matějka et al. 1978).
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  • 79
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    Notes: Summary Alternating copolymerization of 2-acryloxypropionic acid (APA) as a new MN with two MN monomers of phosphorus containing ethylene phenyl phosphonite (EPO) and ethylene phenyl phosphite (EPI) have been disclosed. Copolymerizations took place without added catalyst to produce 1∶1 alternating copolymers of APA-EPO and of APA-EPI. The structures of the copolymers were determined by IR and NMR spectroscopy, elemental analyses, as well as the identification of the alkaline hydrolysis products. The copolymerizations were explained in terms of a mechanism of zwitterion intermediates involving a hydrogen transfer process.
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    Polymer bulletin 1 (1978), S. 191-198 
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    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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    Polymer bulletin 1 (1978), S. 199-204 
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    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Synopsis Poly (ester)s are degraded by the attack of classical carbenium ions. In a representative study it is demonstrated that the carbenium ions are by far more reactive to cleave ester linkages than are protons. The change of molecular weight distribution of the poly-(ester) during reaction with carbenium ions is reported In an example on low molecular weight compounds the reaction path has been clarified.
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    Polymer bulletin 1 (1978), S. 221-225 
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    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Various attempts to induce the anionic polymerisation of 2-vinylfuran and some of its homologues were carried out. Negative results were obtained, except with sodium biphenyl in hexamethylphosphotriamide, a system which gave limited yields and not a living polymerisation. The results are interptreted on the basis of side reactions of the furan ring marring the normal vinyl propagation, A critical discussion of previous conflicting reports is also given.
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    Polymer bulletin 1 (1978), S. 233-237 
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    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Investigation of the photochemistry of benzoin derivatives in a polymer medium leads to the suggestion that oxygen play an important part in the first processes which occur under U.V. irradiation. This is of interest for the understanding of the photocrosslinking process.
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  • 84
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    Notes: Summary A brief kinetic study is reported of the polymerisation of ethylene catalysed by four aluminium-titanium chloro-organic complexes, three of which are new. These systems proved efficient both in terms of polymerisation rate and of the linearity of the high polymers obtained. A comparison is made with previous work in this field.
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    Helgoland marine research 31 (1978), S. 55-101 
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    Topics: Biology
    Notes: Abstract Field experiments were designed to evaluate the role of predators in the Wadden Sea, small predators like shore crabs, shrimps and gobies, and large ones like flatfish and birds. Exclosures, maintained in aCorophium volutator bed, an eelgrass bed, in a sandy and a muddy flat, protected the infauna from such epibenthic predation. The resulting changes in the macrofauna were recorded and compared with an unaffected control area. In sandy and muddy flats of the lower intertidal zone, cages (mesh size≤5 mm) altered abundance and composition of the infauna almost entirely. Nearly all species achieved higher population densities than in the control area, and in addition, the number of species increased as well. In the the scarcely populated mud flat a dense suspension-feeder assemblage emerged, associated with numerous tube-building polychaetes. The sand flat, normally dominated by deposit feeders, also became occupied by a dense suspension-feeder assemblage, mainly cockles. In contrast, narrowly meshed cages had only little effect in the beds of eelgrass and ofCorophium volutator. Both are positioned in the upper intertidal zone. Although a number of species still responded with significant increases in abundance, many remained indifferent or even tended to be less abundant within cages. Cages provided with a 20-mm mesh nylon net, excluding only birds, flatfish and the biggest crabs, increased significantly the survival of large-sized infaunal members. This was only apparent in the upper intertidal zone. It was concluded, that small sized epibenthic predators are the major determinants of the dynamic species abundance pattern of the lower intertidal flats. In the eelgrass bed, the meshwork of rootlets constitutes an important spatial refuge from these predators. The complex habitat structure causes a diversified faunal assemblage. TheCorophium bed in the uppermost intertidal zone is less accessable to predators like crabs, shrimp and gobies. The monotonous appearance of this faunal assemblage is assumed to be the outcome of competitive exclusion and of occasional harsh physical conditions.
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    Helgoland marine research 31 (1978), S. 169-179 
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    Notes: Abstract The gills of several polychaete species belonging to 9 families were studied by scanning and transmission electron microscopy. The surface epithelium is covered by a thin cuticle which is invaded by microvilli penetrating the epicuticle in certain species. Some epithelial cells bear cilia, others are mucus-producing cells. The ciliary cells may be arranged in rows and maintain a constant flow of water over the gills. The distance between external water and blood stream differs considerably according to the species investigated. InMalacoceros the gills are characterized by closed afferent and efferent subepithelial vessels, which correspond to tubular invaginations of the coelomic wall. These vessels are lined by the basement lamina of the coelothelial cells, which are of the epitheliomuscular type. The vessels are open in the gills of other polychaetes and release the blood stream into a system of spaces immediately below the epidermis (e.g. in the branchial lamellae ofPectinaria andTerebellides). In several species the blood comes into very intimate contact with the cuticle (e.g. in the gill filaments ofDendronereides), but also in these animals both are separated by a very small epidermal layer.
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    Helgoland marine research 31 (1978), S. 241-248 
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    Notes: Abstract The method used consists of adding highly radioactive material (40 μCi/1 NaH14CO3) to sea water with its natural concentrations of zoo- and phytoplankton, incubating this water in the light, separating zoo- from phytoplankton after 1 h or at the most 2 h and measuring the radioactivity of both. Under such conditions, the concentration of the tracer in phytoplankton can be simplified as a linear function of time, and that of the zooplankton as a parabolic function of time. This simplification leads to an overestimation of grazing of at most 2–3%. Comparisons with the Coulter Counter method are given and discussed.
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    Helgoland marine research 31 (1978), S. 285-297 
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    Topics: Biology
    Notes: Abstract A total of 75 weekly exploited populations of the harpacticoid copepodTisbe holothuriae Humes were exposed to 0.06, 0.3, 1.5, 7.5 or 37.5 μg Cd++l−1, combined with exploitation rates of 10, 30, 50, 70 or 90% under conditions of surplus food supply at 22° C and 30‰ S. An unusually high mortality was observed for some weeks which could not be ascribed to the added amounts of Cd++. A change in properties of supplied water is considered responsible for the unintentional perturbation which offered a further opportunity to study the effect of compensating reactions in stress situations. The results obtained clearly indicate an effect of exploitation rate on responses to detrimental influences. A superior performance has been found in populations exploited at higher rates. The findings are discussed with respect to earlier investigations on the population dynamics ofT. holothuriae.
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    Helgoland marine research 31 (1978), S. 314-332 
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    Topics: Biology
    Notes: Abstract The egg membrane and follicle of the oocytes ofPomatoschistus minutus were investigated by light and electron microscopy. The formation of the cortex radiatus begins in late stage I and is concluded in stage III. In stage II bundle structures appear at the base of the cortex radiatus. These bundle structures cannot be identified in stage III. The cortex radiatus differentiates into the cortex radiatus externus and the cortex radiatus internus. Up to 220 attaching filaments originate in stage II. They are connected with the egg membrane at the animal pole. The attaching filaments are a modified part of the cortex radiatus externus. They consist of two substances which differ in their electron density. The attaching filaments lie between the cells of the follicle epithelium and are probably formed by these cells. They are adapted for attaching the eggs. The follicle epithelium is always single-layered. The cross-section of the spindle-shaped follicle cells is quadratic in stage I and II and quadrilateral in stage III. The cells of the follicle epithelium contain a lot of rough ER and are thus divided into many compartments. The primary oocyte membrane (oolemma) shows considerable pinocytosis activity in stage II and there are many polysomes in the peripheral cytoplasm. Possible functions of the pinocytotic vesicles and the polysomes are discussed.
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  • 90
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    Helgoland marine research 31 (1978), S. 457-470 
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    Topics: Biology
    Notes: Abstract Epifaunal community development on plexiglas panels submerged in Helgoland Harbour (North Sea) was observed over one year. The course of colonization is described, and some data are presented on autecology, reporduction, and growth rate of particular species. About three months after initial settlement, conditions of coexistence in a mixed barnacle-ascidian community began to change increasingly due to heavy competition for space. The colonial speciesBotryllus schlosseri proved to be potentially dominant. Shortly before it attained monopolization by replacing barnacles (mainlyElminius modestus), a major physical disturbance eliminated the fast growing ascidian. The roles of physical factors, of biological interactions, and of historical events in community development are discussed in context with succession theory and other concepts evolved more recently. It is concluded that succession-like processes can occur in subtidal fouling communities, but there the existence of a globally stable climax is unlikely. Generally the concept of multistable points seems to be better applicable to marine ecosystems than that of succession in the classical sense. There is considerable need for further natural history observations and experiments as an empirical basis for current theory and modelling.
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    Helgoland marine research 31 (1978), S. 444-456 
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    Topics: Biology
    Description / Table of Contents: Resume L'organotropisme de l'argent 110 m chez un MollusqueScrobicularia plana et un CrustacéCarcinus maenas varie considérablement selon la voie de contamination: après contamination directe par l'eau ce sont les organes externes qui accumulent le plus l'argent 110 m (coquille et manteau de la Scrobiculaire, exosquelette et branchies du Crabe) tandis qu'après contamination par l'intermédiaire de la nourriture c'est l'hépatopancréas qui retient la quasi-totalité de l'argent radioactif. La mue des Crustacés aura une grande importance dans la décontamination de l'animal après contamination par l'eau car l'exuvie est constituée de tous les organes les plus contaminés. L'autoépuration des divers organes des animaux se fait différentiellement selon la voie de contamination. Elle est en général rapide pour les organes externes et lente pour l'hépatopancréas. Malgré une contamination importante des organes externes, ces derniers entraînent une dose d'irradiation au centre de l'animal plus faible que celle subie par l'hépatopancréas.
    Notes: Abstract The distribution of110mAg was studied in various invertebrates of a marine benthic food chain as a consequence of the immersion in contaminated seawater and/or ingestion of radioactive food. The studies on110mAg distribution were carried out at the end of the experimental contamination (when equilibrium was reached) and during the slow stage of elimination. After contamination via the surrounding water, uptake of110mAg occurs mainly in external organs: shells (34%) and mantle (16%) of the bivalveScrobicularia plana, exoskeleton (40%) and gills (38%) of the crabCarcinus maenas. On the contrary, contamination via food is responsible for a considerable accumulation of110mAg in the digestive glands ofS. plana (75%) andC. maenas (56%). Moulting plays an important role in the decontamination of crabs following immersion in radioactive seawater owing to the strong contamination of the exuviae. The elimination of110mAg from the different organs of the animals examined depends upon the mode of contamination: it is generally fast in external organs and slow in the digestive gland. Radiation doses for molluscs and crustaceans were calculated following experimental contaminations by water and food. A significant contamination of external organs is responsible for a radiation dose (in the centre of the test animals) weaker than that instigated by the accumulation of110mAg in the digestive gland. Thus, with regard to contamination, the ambient water is important; but, from the point of view of irradiation, radioactive food is generally more important.
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    Helgoland marine research 31 (1978), S. 34-54 
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    Topics: Biology
    Notes: Abstract As an initial step in a programme designed to investigate factors which are of importance in affecting the behaviour of actinides towards certain invertebrates found in estuarine and marine environments, laboratory procedures have been developed to study the accumulation of americium in three species: the polychaete wormNereis diversicolor, the brackish-water amphipodGammarus duebeni and the harpacticoid copepodTisbe holothuriae. The species chosen are considered representative of groups having wide ecological importance. It was found that large differences in concentration factors occurred for the same organisms, depending upon aging of the contaminated medium; much higher and more variable values being found when uptake was from freshly contaminated solutions than from those aged up to a week. The interaction of specimens with physico-chemical reactions of americium which appear to take place within the first few days after its introduction into water are considered to be responsible for these differences. Uptake from contaminated water that had been allowed to age in the absence of organisms appears to be unaffected by subsequent conditioning by specimens. Americium concentration factors show a strong tendency to increase with decreasing size of the species, varying from over 1000 forT. holothuriae to about 3 forN. diversicolor. The possibility that the mechanisms regulating the uptake of actinides in different species may depend upon pH is briefly discussed.
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    Helgoland marine research 31 (1978), S. 117-127 
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    Notes: Abstract Daily activity patterns ofAstropecten aranciacus, A. bispinosus andA. jonstoni were investigated by means of SCUBA diving. The three species generally showed two peaks of activity, at dawn and dusk. However, the activity pattern was variable, depending upon site, depth and season. Two populations ofA. aranciacus showed only one daily peak at certain times of the year. These peaks were at night in one case, at noon in the other. Light appears to be an important factor governing the activity pattern.
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    Helgoland marine research 31 (1978), S. 257-284 
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    Notes: Abstract Based on previous studies (Klöckner, 1976b) dealing with field investigations on breeding season, choice of substratum, growth and mortality of the sessile filter-feeding tube wormPomatoceros triqueter in Helgoland waters (southern North Sea), data from laboratory experiments on the physiological potential of the polychaete in regard to temperature are presented. Adult worms tolerated temperatures from −3° C (24 h LT 28) to 30° C (24 h LT 50) when heated or cooled in steps of 1 C° d−1; a two-week period of acclimation within 6° to 18° C did not change their tolerance. Standard oxygen consumption and regeneration of the calcareous tube were found to be dependent on temperature, body weight and food supply; acclimation periods of two weeks had no significant influence. Highly increasing metabolic rates were noted between 6° and 18° C (Q10-values up to 6) and a maximum was found between 20° and 24° C (0.32 μg O2 mg−1h−1 and 10.2 μg CaCO3 mg−1d−1); tube regeneration followed a nonlinear regression of y=ax−b when compared to body weight and was reduced by starving animals to less than 50% within 15 days. Filtration activity ofP. triqueter, however, was found to be highly independent of temperature from 12° to 24° C; maximum activity was 1 ml mg−1 h−1 (all data refer to fresh weight). For comparisons with the results of previous field investigations onP. triqueter some intraspecific correlations of the different parameters employed (tube sizes, fresh and dry weight) are presented as exponential functions of y=axb.
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    Journal of ornithology 119 (1978), S. 441-449 
    ISSN: 1439-0361
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    Topics: Biology
    Description / Table of Contents: Zusammenfassung 1. Für die 40 häufigsten Waldvögel Südfinnlands werden, meist auf der Grundlage von Linientaxierungen, Populationsindices ermittelt. Diese Indices beziehen sich auf die Jahre 1926/27, 1936, 1936–49, 1952–63 und 1973. 2. 22 Arten (Gruppe A der Tabelle) haben eindeutig zugenommen. Die Gründe hierfür sind wohl in Veränderungen der Struktur finnischer Wälder zu suchen, nämlich Zunahme der Fläche von Jungbeständen, der Ausdehnung der Strauchschicht in Altbeständen, der Bedeutung der Fichte als Waldbestandteil und schließlich der Waldränder. 3. 7 Arten (Gruppe B) nahmen einheitlich zu mit Ausnahme im SW-Teil des Landes, wo die Zunahme sehr gering war. Diese Arten scheinen in gleicher Weise von den Strukturänderungen finnischer Wälder beeinflußt worden zu sein wie die in Gruppe A. Doch wiesen diese 7 Arten schon 1926/27 im SW Finnlands relativ hohe Dichten auf. Da alle Arten dieser Gruppe hauptsächlich im Süden verbreitet sind, bedeutet die Zunahme in Finnland, daß offenbar die meisten Arten dieser Gruppe ihr Areal nach Norden ausdehnten, was schließlich zu einem deutlichen Populationsanstieg im Untersuchungsgebiet führte. 4. 7 Arten (Gruppe C) zeigten keine deutlich erkennbaren Trends. Die Erklärung hierfür scheint in hohen jährlichen Fluktuationen der Populationsgröße als auch in möglichen interspezifischen Konkurrenzverhältnissen zu suchen zu sein. 5. 4 Arten (Gruppe D) nahmen deutlich ab, wahrscheinlich in erster Linie infolge der Abnahme des Flächenanteils alter Waldbestände oder der zunehmenden Schwierigkeiten, alte Bäume zu finden. 6. So wurden also Zunahmetendenzen weit häufiger als Abnahmetendenzen festgestellt. Diese Ergebnisse stimmen mit anderen Untersuchungen von langfristigen Bestandstrends nordeuropäischer Vogelarten überein. Sie weisen ferner daraufhin, daß offenbar viele Vogelpopulationen an die Habiate, die durch moderne Forstwirtschaft entstehen, gut angepaßt sind. Jedoch sollten diese Ergebnisse vom Standpunkt des Naturschutzes aus nicht falsch interpretiert werden. Sinn des Naturschutzes ist nicht, die Populationsgröße sehr häufiger Arten positiv zu beeinflussen, sondern die Abnahme der Populationsgrößen bedrohter Arten zu verhindern. In diesem Zusammenhang sei auf die Notwendigkeit des Schutzes genügend großer Flächen alter Waldbestände hingewiesen, da eine Reihe von Arten davon im höchsten Maße davon abhängig sind.
    Notes: Summary 1. Population indices based on bird censuses (especially line transects) are given for south Finnish forest birds (40 species). The indices refer to 1926–27, 1936, 1936–49, 1952–63 and 1973–77. 2. Population increases were observed to be much more frequent than decreases. The main reason for the changes is presumably that the structure of the Finnish forests has changed considerably in recent decades. Many bird populations are thus probably well adapted to habitat changes caused by forestry. However, certain species need habitats destroyed by modern forestry (e. g. old forests); in consequence, it is necessary to maintain sufficient old forests areas for conservational purposes.
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    Journal of ornithology 119 (1978), S. 465-465 
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    Journal of ornithology 119 (1978), S. 471-482 
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    Journal of ornithology 119 (1978), S. 191-196 
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    Topics: Biology
    Description / Table of Contents: Summary 1. Wintering Mute Swan populations in Southern Bavaria have reached a stable level of 2500 individuals, but oscillations occur in different years. This was proofed by the data of the international waterfowl counts. 2. Calculation of population trend with complete counts from only 23 places, comprising 25 percent of the total swan population, is sufficient for a good estimation of the overall trend. For saturation effects in dense local populations the overall trend may be a little more positive than calculated above because of stocks which are still slightly increasing on small waters. 3. December- and March-counts show a good agreement with overall counts from September to April. The estimation of the general population trend of the Mute Swan may be done with these counts quite well. 4. For the estimation of the total stocks it is further necessary to count on small lakes at least at the dates of the international waterfowl count in January and perhaps in November or March. But if regular counts cannot be guaranted, counting in other months is not very advantageous, for those results are very difficult to handle in statistic procedures.
    Notes: Zusammenfassung 1. Der Bestand überwinternder Höckerschwäne in Südbayern hat sich nach der Zunahme vor 1970 inzwischen stabilisiert und die Grenzkapazität von rd. 2500 Exemplaren erreicht, wie mit Hilfe der internationalen Wasservogelzählung nachgewiesen werden konnte. Um diesen Wert dürften die Bestände auch in Zukunft schwanken. 2. Zur Abschätzung des Bestandstrends beim Höckerschwan reicht es aus, wenn nur 23 vollständige Zählreihen größerer Gewässer mit etwa 25% des Höckerschwanbestandes berücksichtigt werden. Der Trend erscheint allerdings wegen der Sättigungseffekte in den Populationen der Konzentrationsgebiete etwas zu negativ. Vor allem an den Kleingewässern dürfte es noch zu leichten Zunahmen kommen. 3. Dezember- und Märzwerte geben die Bestandstrends ebensogut wieder wie die Summen über alle Zählmonate von September bis April. 4. Zur Ermittlung der Bestandsgröße sollten kleinere Gewässer auch in Zukunft im Januar und eventuell zusätzlich im März bzw. November gezählt werden. Zählungen in anderen Monaten sind nur sinnvoll, wenn deren Regelmäßigkeit garantiert werden kann, da diese Daten sonst statistisch nur schwer verwertbar sind.
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    Journal of ornithology 119 (1978), S. 172-190 
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    Topics: Biology
    Description / Table of Contents: Summary The behaviour patterns and the vocalisations of captive European and Himalayan goldfinches(Carduelis carduelis) and of three species of greenfinches (European-Chloris chloris, Himalayan-Chloris spinoides, and Chinese-Chloris sinica) have been studied in order to contribute to the questions of the taxonomic positions and to the problem of evolution in the acoustical communication system during speciation. The following general conclusions were reached: 1. The Chinese greenfinch is not a connecting link between greenfinches and goldfinches. 2. The morphological similarity between the Chinese greenfinch and the gray-headed goldfinch must be based on parallelism. 3. The gray- and black-headed goldfinches and the 3 species of greenfinches form two, clearly distinguished, groups of Carduelid finches. 4. In the gold- and greenfinches the tours, rhythmical repetitions of identical vocal patterns, form the frame of the song. 5. Group specific differences between the songs of gold- and greenfinches were found on the following levels of the hierarchical organisation: a) silent intervals between tours (there is no phrase in the greenfinch); b) rhythmical timing of tours; c) shape and frequency range of the subordinate song elements. 6. In the 3 species of greenfinches and the different subspecies of goldfinches the variation of song is limited to few predictable characteristics, primarily to the frequency modulation of the single song elements, whereas the rhythmical timing by the silent intervals between the vocal patterns remains constant. The variation of songs between different species of greenfinches is as small as between adjacent breeding populations of the European greenfinch. Thus the genetically determined song program, which channels vocal learning, remains astonishingly constant during the differentiation of subspecies in goldfinches and the evolution of the 3 morphologically very different species of greenfinches.
    Notes: Zusammenfassung Es wurde überprüft, ob der China-Grünling(Chloris sinica) systematisch ein Bindeglied zwischen dem Grünling(Chloris chloris) und dem Stieglitz(Carduelis carduelis) darstellt. Mehrjährige Gefangenschaftsbeobachtungen an asiatischen und europäischen Stieglitzrassen und an den 3 Grünlingsarten Grünling, Himalaya-(Ch. spinoides) und China-Grünling(Ch. sinica) zeigten folgende Resultate: 1. Der China-Grünling ist ein echter Grünling, der in keinem Verhaltensmerkmal nähere Beziehungen zum Stieglitz zeigt. 2. Die Merkmalsübereinstimmungen zwischen den asiatischen, grauköpfigen Stieglitzrassen und dem China-Grünling in der Flügelzeichnung und Gefiederfarbe beruhen auf einer Parallelentwicklung. 3. Die verschiedenen Rassen des Stieglitzes und die 3 untersuchten Grünlings-Arten bilden zwei in sich geschlossene, ohne Übergangsformen voneinander getrennte Cardueliden-Gruppen. 4. Das generelle Gesangsprogramm, die Festlegung auf eine arttypische, den Einzellauten übergeordnete, rhythmische Gliederung des Gesangs blieb während der Rassenbildung des Stieglitzes und der Bildung der 3 Grünlingsarten unverändert. Alle Stieglitze singen in Strophen, die bei den 3 Grünlingsarten übereinstimmend fehlen.
    Type of Medium: Electronic Resource
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