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

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

Journal

Mathematics
, E-ISSN: 2227-7390

Output data

Year: 2023, Volume: 11, Number: 14, Article number : 3180, Pages count : 17 DOI: 10.3390/math11143180

Tags

coefficient inverse problem; partial differential equations; numerical methods; gradient method; minimization of the functional; accumulation of negative mutations; corrective activity of polymerases

Authors

Argun Raul ¹ , Levashova N.T. ¹ , Lukyanenko D.V. ¹ , Sidorova Alla ² , Shishlenin Maxim A. ^3,4

Affiliations

1	Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia
2	Department of Byophysics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia
3	Sobolev Insitute of Mathematics, Novosibirsk 630090, Russia
4	Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk 630090, Russia

Funding (1)

Russian Science Foundation

23-11-00069

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.

Argun R. , Levashova N.T. , Lukyanenko D.V. , Sidorova A. , Shishlenin M.A.
Modeling the Dynamics of Negative Mutations for a Mouse Population and the Inverse Problem of Determining Phenotypic Differences in the First Generation
Mathematics. 2023. V.11. N14. 3180 :1-17. DOI: 10.3390/math11143180 WOS Scopus РИНЦ OpenAlex

Submitted:	Jun 26, 2023
Accepted:	Jul 18, 2023
Published print:	Jul 20, 2023
Published online:	Jul 20, 2023

Web of science:	WOS:001039017600001
Scopus:	2-s2.0-85166212135
Elibrary:	62118359
OpenAlex:	W4384929522

DB	Citing
OpenAlex	2
Scopus	1
Web of science	1