Modeling the Dynamics of Negative Mutations for a Mouse Population and the Inverse Problem of Determining Phenotypic Differences in the First Generation

Raul Argun, Natalia Levashova (), Dmitry Lukyanenko, Alla Sidorova and Maxim Shishlenin
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Raul Argun: Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia
Natalia Levashova: Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia
Dmitry Lukyanenko: Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia
Alla Sidorova: Department of Byophysics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia
Maxim Shishlenin: Sobolev Insitute of Mathematics, Novosibirsk 630090, Russia

Mathematics, 2023, vol. 11, issue 14, 1-17

Abstract: This paper considers a model for the accumulation of mutations in a population of mice with a weakened function of polymerases responsible for correcting DNA copying errors during cell division. The model uses the results of the experiment published by Japanese scientists, which contain data on the accumulation of phenotypic differences in three isolated groups of laboratory mice. We have developed a model for the accumulation of negative mutations. Since the accumulation of phenotypic differences in each of the three groups of mice occurred in its own way, we assumed that these differences were associated with genotypic differences in the zeroth generation and set the inverse problem of determining the initial distribution of these differences. Additional information for solving the inverse problem was a set of experimental data on the number of mutant lines and the number of individuals in each group of mice. The results obtained confirmed our assumption.

Keywords: coefficient inverse problem; partial differential equations; numerical methods; gradient method; minimization of the functional; accumulation of negative mutations; corrective activity of polymerases (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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