Bulletin of Mathematical Biology

Bloch, Ingram

doi: 10.1007/BF02478238pmid: N/A

Abstract As a first approximation, a membrane is considered as a potential barrier or potential well for the molecules which diffuse through it. Making some simple assumptions about the form of that potential barrier or well, the author sets up and integrates the differential equation for the diffusion of the molecules through the membrane under the influence of the potential field.

Landahl, H. D.

doi: 10.1007/BF02478239pmid: N/A

Abstract By making some plausible assumptions, a set of differential equations is proposed which describes the kinetics of interaction between periodically multiplying parasites and continuously produced phagocytes. These equations establish some general conditions which are necessary in order that the number of parasites should increase or decrease. Some consequences of the equations are discussed, and some experimental procedures for the determination of the parameters entering those equations are suggested.

Wilde, Walter S.

doi: 10.1007/BF02478240pmid: N/A

Abstract According to the theory of Boyle and Conway, chloride leaves the extracellular fluid to enter cells, particularly muscle, when the plasma potassium concentrationK rises. Simplified equations are presented to describe in terms ofK the distribution of chloride expected when the quantity of the saltKp in the body fluids changes in health and disease.

Opatowski, I.

doi: 10.1007/BF02478241pmid: N/A

Abstract The theory of strength of materials and known experimental relations between the strength and the specific gravity of green wood are used to derive relations between some geometric characteristics of the tree

Rashevsky, N.;Brown, Virginia

doi: 10.1007/BF02478242pmid: N/A

Abstract In continuation of previous studies of the mathematical biophysics of visual perception in relation to the aesthetic evaluation of visual patterns, an expression for the total intensity of excitation in a discriminating center as a function of the intensity of the peripheral stimulus is derived. This expression is applied to the case of aesthetic judgments of similar polygons of different sizes. The theoretical conclusions are tested experimentally by use of standard psychological scaling methods. The theoretical predictions are found to be in agreement with the experimental results.

Smith, R. E.;(S), Ens M. F. Morales H-V

doi: 10.1007/BF02478243pmid: N/A

Abstract A mathematical analysis of the absorption of an inert gas by a heterogeneous system ofn phases, e.g., a limb consisting ofn tissues, is presented. The total uptake of gas, ϕ(t), up to timet is given in terms of arterial concentration, cardiac delivery, blood volume, and the volume, permeability, and partition coefficient of each tissue. The theory predicts how the uptake curve should change in shape under a variety of physiological conditions, and how from the numerical values of the constants the values of certain tissue constants, e.g. permeabilities, may be obtained.