A three-cell model of the initial stage of development of a proneural cluster

N. B. Ayupova; V. P. Golubyatnikov

doi:10.1134/S1990478917020028

A three-cell model of the initial stage of development of a proneural cluster

N. B. Ayupova, V. P. Golubyatnikov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

2 Цитирования (Scopus)

Аннотация

We construct a 9-dimensional nonlinear dynamical system that simulates the initial stage of interaction of three adjacent cells in the proneural cluster of Drosophila melanogaster. We describe the conditions of existence of three stable equilibrium points in the phase space of this system, list its other equilibrium points, and provide a biological interpretation.

Язык оригинала	английский
Страницы (с-по)	168-173
Число страниц	6
Журнал	Journal of Applied and Industrial Mathematics
Том	11
Номер выпуска	2
DOI	https://doi.org/10.1134/S1990478917020028
Состояние	Опубликовано - 1 апр 2017

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10.1134/S1990478917020028

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abstract = "We construct a 9-dimensional nonlinear dynamical system that simulates the initial stage of interaction of three adjacent cells in the proneural cluster of Drosophila melanogaster. We describe the conditions of existence of three stable equilibrium points in the phase space of this system, list its other equilibrium points, and provide a biological interpretation.",

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A three-cell model of the initial stage of development of a proneural cluster. / Ayupova, N. B.; Golubyatnikov, V. P.

В: Journal of Applied and Industrial Mathematics, Том 11, № 2, 01.04.2017, стр. 168-173.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AU - Ayupova, N. B.

AU - Golubyatnikov, V. P.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - We construct a 9-dimensional nonlinear dynamical system that simulates the initial stage of interaction of three adjacent cells in the proneural cluster of Drosophila melanogaster. We describe the conditions of existence of three stable equilibrium points in the phase space of this system, list its other equilibrium points, and provide a biological interpretation.

AB - We construct a 9-dimensional nonlinear dynamical system that simulates the initial stage of interaction of three adjacent cells in the proneural cluster of Drosophila melanogaster. We describe the conditions of existence of three stable equilibrium points in the phase space of this system, list its other equilibrium points, and provide a biological interpretation.

KW - equilibrium point

KW - gene network

KW - negative and positive feedback

KW - nonlinear dynamical system

KW - phase portrait

KW - stability

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JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

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A three-cell model of the initial stage of development of a proneural cluster

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