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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 2, Pages 253–263
DOI: https://doi.org/10.7868/S0044466918020114 (Mi zvmmf10679) 		 
Some fundamental issues of mathematical simulation in biology

V. N. Razzhevaikin

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466918020114
Abstract: Some directions of simulation in biology leading to original formulations of mathematical problems are overviewed. Two of them are discussed in detail: the correct solvability of first-order linear equations with unbounded coefficients and the construction of a reaction-diffusion equation with nonlinear diffusion for a model of genetic wave propagation.
Key words: overview, evolutionary optimality, correlation adaptometry, structured systems, reaction-diffusion equations, leader selection, genetic waves.
Funding agency Grant number
Russian Foundation for Basic Research 15-07-06947_а
Received: 31.08.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 2, Pages 238–247
DOI: https://doi.org/10.1134/S0965542518020136
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. N. Razzhevaikin, “Some fundamental issues of mathematical simulation in biology”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018), 253–263; Comput. Math. Math. Phys., 58:2 (2018), 238–247
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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