Modeling the Dynamics of Negative Mutations for a Mouse Population and the Inverse Problem of Determining Phenotypic Differences in the First Generation | Sciact - Система учета научной деятельности ИМ СО РАН

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

Журнал

Mathematics
, E-ISSN: 2227-7390

Вых. Данные

Год: 2023, Том: 11, Номер: 14, Номер статьи : 3180, Страниц : 17 DOI: 10.3390/math11143180

Ключевые слова

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

Авторы

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

Организации

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

Информация о финансировании (1)

Российский научный фонд

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

Поступила в редакцию:	26 июн. 2023 г.
Принята к публикации:	18 июл. 2023 г.
Опубликована в печати:	20 июл. 2023 г.
Опубликована online:	20 июл. 2023 г.

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

БД	Цитирований
OpenAlex	2
Scopus	1
Web of science	1