Results 221 to 230 of about 92,910 (256)

A mathematical model of biological evolution

Journal of Mathematical Biology, 1982
In order to understand generally how the biological evolution rate depends on relevant parameters such as mutation rate, intensity of selection pressure and its persistence time, the following mathematical model is proposed: dNn(t)/dt = (mn(t) - mu)Nn(t) + muNn-1(t) (n = 0,1,2,3,...), where Nn(t) and mn(t) are respectively the number and Malthusian ...
Ishii, K., Matsuda, H., Ogita, N.
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The Mathematics Behind Biological Invasions

Interdisciplinary Applied Mathematics, 2016
Sergei Petrovskii, Mark Lewis, Jonathan Potts   +2 more
exaly   +2 more sources

Biological control of malaria: A mathematical model

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mini Ghosh, Abid Ali Lashari, Xue-Zhi Li
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Some Mathematics of Biological Oscillations

SIAM Review, 1977
A description is given of the qualitative theory of ordinary differential equations which can be used to analyze oscillatory systems in biology, i.e., the existence and stability of periodic solutions of n-dimensional nonlinear systems of ordinary differential equations. The theory is organized around the biological topics.
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A mathematical description of biological clocks

Biosystems, 1967
Abstract The implications of a concise mathematical formulation of the effect of light pulses on circadian rhythms are presented and discussed. The description is based on a model originally proposed by Pittendrigh.
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On a Mathematical Model of Biological Self-Organization

Proceedings of the Steklov Institute of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolesov, A. Yu., Rozov, N. Kh., Sadovnichii, V. A.   +2 more
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A mathematical model of evolution of biological populations

Cybernetics, 1990
Summary: We determine the laws of evolution of closed populations in a self- regulating biogeocenosis. We show that the evolutionary moving force creating new genotypes is the variability of the biotypic effects, whereas the evolutionary factor that regulates (stabilizes) the size of the population is the variability of the biocenotic effects.
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BioLogic: A Mathematical Modeling Framework for Immunologists

2009
The immune response to pathogens is a result of complex interactions among many cell types and a large number of molecular processes. As such it poses numerous challenges for modeling, simulation, and analysis. In this work we aim at addressing major issues regarding modeling of large biological systems with a special focus on the immune system.
Shlomo, Ta'asan, Rima, Gandlin
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Mathematics for the Biological Sciences

Technometrics, 1975
John J. Buoni, Stanley I. Grossman, James E. Turner   +2 more
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A mathematical model of biological growth and regression

Biosystems, 1969
Abstract A mathematical model of cell and bacterial growth and regression is presented. The model is, in part, composed of tentative laws of growth and regression. The mathematical solutions of the model were obtained; they indicate the factors which affect various aspects of growth and regression behavior.
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