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Mathematical Foundations of Biological Organisation

Oberwolfach Reports, 2023
The workshop aimed to explore the use of new mathematical and computational approaches to investigate the fundamental principles governing the organization and dynamics of biological systems. This necessitated conversations among mathematical biologists working at different scales, from molecular to organismal levels.
Jean-Pierre Eckmann   +2 more
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MATHEMATICS AND COMPLEXITY IN BIOLOGICAL SCIENCES

Mathematical Models and Methods in Applied Sciences, 2011
This special issue continues the tradition of the journal Mathematical Models and Methods in Applied Sciences on the modeling, qualitative analysis, and simulation of complex systems. More precisely, systems of many individuals interacting in a non- linear manner.
N Bellomo, F Brezzi
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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 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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Biological Models for Finite Mathematics

PRIMUS, 2021
Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology.
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Biological information and mathematical structures

2023
Biological information acts through coherent multidimensional communication systems based on the coupling of biophysical and biochemical processes. It behaves as an effective non-locality and an integrating background that connects micro and macro spatiotemporal features.
Mišić, N.Ž., Cvetkovic, S.
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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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