Models of genetic networks with given properties

O. Kozlovska; F. Sadyrbaev

doi:10.37394/232018.2022.10.6

Models of genetic networks with given properties

O. Kozlovska
, F. Sadyrbaev

Latvijas Universitāte

Daugavpils University

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

11 Atsauces (Scopus)

Kopsavilkums

A multi-parameter system of ordinary differential equations, modelling genetic networks, is considered. Attractors of this system correspond to future states of a network. Sufficient conditions for the non-existence of stable critical points are given. Due to the special structure of the system, attractors must exist. Therefore the existence of more complicated attractors was expected. Several examples are considered, confirming this conclusion.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	43-49
Lapu skaits	7
Žurnāls	WSEAS Transactions on Computer Research
Sējums	10
DOIs	https://doi.org/10.37394/232018.2022.10.6
Publikācijas statuss	Publicēts - 2022

OECD Zinātnes nozare

1.1 Matemātika

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title = "Models of genetic networks with given properties",

abstract = "A multi-parameter system of ordinary differential equations, modelling genetic networks, is considered. Attractors of this system correspond to future states of a network. Sufficient conditions for the non-existence of stable critical points are given. Due to the special structure of the system, attractors must exist. Therefore the existence of more complicated attractors was expected. Several examples are considered, confirming this conclusion.",

keywords = "attractors, dynamical system, genetic regulatory networks, Mathematical model",

author = "O. Kozlovska and F. Sadyrbaev",

year = "2022",

doi = "10.37394/232018.2022.10.6",

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T1 - Models of genetic networks with given properties

AU - Kozlovska, O.

AU - Sadyrbaev, F.

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N2 - A multi-parameter system of ordinary differential equations, modelling genetic networks, is considered. Attractors of this system correspond to future states of a network. Sufficient conditions for the non-existence of stable critical points are given. Due to the special structure of the system, attractors must exist. Therefore the existence of more complicated attractors was expected. Several examples are considered, confirming this conclusion.

AB - A multi-parameter system of ordinary differential equations, modelling genetic networks, is considered. Attractors of this system correspond to future states of a network. Sufficient conditions for the non-existence of stable critical points are given. Due to the special structure of the system, attractors must exist. Therefore the existence of more complicated attractors was expected. Several examples are considered, confirming this conclusion.

KW - attractors

KW - dynamical system

KW - genetic regulatory networks

KW - Mathematical model

UR - https://wseas.com/journals/cr/2022/a125118-005(2022).pdf

UR - https://www.scopus.com/pages/publications/85136240448

U2 - 10.37394/232018.2022.10.6

DO - 10.37394/232018.2022.10.6

M3 - Article

SN - 1991-8755

VL - 10

SP - 43

EP - 49

JO - WSEAS Transactions on Computer Research

JF - WSEAS Transactions on Computer Research

ER -

Models of genetic networks with given properties

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