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Some Fundamental Issues of Mathematical Simulation in Biology

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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.

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”, Russian Academy of Sciences, Moscow, 119333, Russia

    V. N. Razzhevaikin

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  1. V. N. Razzhevaikin
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Correspondence to V. N. Razzhevaikin.

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Dedicated to the 100th birthday of Academician N.N. Moiseev

Original Russian Text © V.N. Razzhevaikin, 2018, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2018, Vol. 58, No. 2, pp. 253–263.

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Razzhevaikin, V.N. Some Fundamental Issues of Mathematical Simulation in Biology. Comput. Math. and Math. Phys. 58, 238–247 (2018). https://doi.org/10.1134/S0965542518020136

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  • DOI: https://doi.org/10.1134/S0965542518020136

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