MATHEMATICAL MODELLING OF BIOLOGICAL SYSTEMS


Cite this article as:

Trubetskov D. I. MATHEMATICAL MODELLING OF BIOLOGICAL SYSTEMS. Izvestiya VUZ. Applied Nonlinear Dynamics, 2015, vol. 23, iss. 2, pp. 3-20. DOI: https://doi.org/10.18500/0869-6632-2015-23-2-3-20


The characters of the article are Nicolas Rashevsky, Karl Ludwig von Bertalanffy and Erwin Schrodinger. The events connected to their scientific research in the sphere of  Mathematical Biology take place up to the end of the World War II. The biggest part of the article focuses attention on Erwin Schrodinger’s book «What Is Life? The Physical Aspect of the Living Cell». This book is known by many, but not many people read it. The article describes briefly the further way of Mathematical Biology development, connected to the invention of computers. Also the simplest models of cancer and epidemics are discussed in the article.

 
DOI: 
10.18500/0869-6632-2015-23-2-3-20
Literature

1. Mir matematiki: v 40 т., т. 28, Rafael Laos-Bel’tra. Matematika zhizni. Chislennie modeli v biologii i ekologii / per. s isp. М.: DeAgostini, 2014. 160 s. (In Russian).

2. Rashevsky N. Some Medical Aspects of Mathematical Biology. Springfield, IL: Charles C. Thomas, 1964.

3. Schrodinger E.  ̈ What is Life? The Physical Aspect of the Living Cell. Cambridge: University Press, 1944.

4. Hoffman D. Erwin Schrodinger. Leipzig, 1984.  ̈

5. Nauka. Velichaishie teorii: vipusk 5: Na volne Vselennoi. Shrodinger. Kvantovie paradoksi / per. s fr. М.: DeAgostini, 2015. 168 s. (In Russian).

6. Reutov V.P., Schechter A.N. // Physics–Uspekhi. 2010. Vol. 53, No 4. P. 377.

7. Goldanskii V. // Kommunist. 1986. No 1. S. 86. (In Russian)

8. Ivanitskii G.R. // Physics–Uspekhi. 2010. Vol. 53, No 4. P. 327.

9. Arrowsmith D.K., Place C.M. Ordinary Differential Equations: A Qualitative Approach with Applications. Chapman and Hall, 1982.

10. Trubetskov D.I. Vvedenie v Cinergeticu. Haos i Ctruktury. M.: Knizhyi Dom «LIBROKOM», 2014. 240 s. (In Russian)

11. Modelirovanie nelineinoi dinamiki globalnih processov / Red. I.V. Il’in, D.I. Trubetskov. M.: Izdatelstvo Moskovskogo universiteta, 2010. 412 s. (In Russian).

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BibTeX

@article{Трубецков-IzvVUZ_AND-23-2-3,
author = {Dmitry Ivanovich Trubetskov},
title = {MATHEMATICAL MODELLING OF BIOLOGICAL SYSTEMS},
year = {2015},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {23},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/mathematical-modelling-of-biological-systems},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2015-23-2-3-20},pages = {3--20},issn = {0869-6632},
keywords = {Mathematical modeling,Mathematical Biology,history,Rashevsky,Ludwi von Bertalanffy,Schrodinger,epidemic,cancer.},
abstract = {The characters of the article are Nicolas Rashevsky, Karl Ludwig von Bertalanffy and Erwin Schrodinger. The events connected to their scientific research in the sphere of  Mathematical Biology take place up to the end of the World War II. The biggest part of the article focuses attention on Erwin Schrodinger’s book «What Is Life? The Physical Aspect of the Living Cell». This book is known by many, but not many people read it. The article describes briefly the further way of Mathematical Biology development, connected to the invention of computers. Also the simplest models of cancer and epidemics are discussed in the article.   Download full version }}