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

In: Journal of Applied and Industrial Mathematics, Vol. 11, No. 2, 01.04.2017, p. 168-173.

Research output: Contribution to journal › Article › peer-review

Harvard

Ayupova, NB & Golubyatnikov, VP 2017, 'A three-cell model of the initial stage of development of a proneural cluster', Journal of Applied and Industrial Mathematics, vol. 11, no. 2, pp. 168-173. https://doi.org/10.1134/S1990478917020028

APA

Ayupova, N. B., & Golubyatnikov, V. P. (2017). A three-cell model of the initial stage of development of a proneural cluster. Journal of Applied and Industrial Mathematics, 11(2), 168-173. https://doi.org/10.1134/S1990478917020028

Vancouver

Ayupova NB, Golubyatnikov VP. A three-cell model of the initial stage of development of a proneural cluster. Journal of Applied and Industrial Mathematics. 2017 Apr 1;11(2):168-173. doi: 10.1134/S1990478917020028

Author

Ayupova, N. B. ; Golubyatnikov, V. P. / A three-cell model of the initial stage of development of a proneural cluster. In: Journal of Applied and Industrial Mathematics. 2017 ; Vol. 11, No. 2. pp. 168-173.

BibTeX

@article{367001683e8b4d20a668712f51197bed,
title = "A three-cell model of the initial stage of development of a proneural cluster",
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.",
keywords = "equilibrium point, gene network, negative and positive feedback, nonlinear dynamical system, phase portrait, stability",
author = "Ayupova, {N. B.} and Golubyatnikov, {V. P.}",
year = "2017",
month = apr,
day = "1",
doi = "10.1134/S1990478917020028",
language = "English",
volume = "11",
pages = "168--173",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - A three-cell model of the initial stage of development of a proneural cluster

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

UR - http://www.scopus.com/inward/record.url?scp=85019719918&partnerID=8YFLogxK

U2 - 10.1134/S1990478917020028

DO - 10.1134/S1990478917020028

M3 - Article

AN - SCOPUS:85019719918

VL - 11

SP - 168

EP - 173

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 2

ER -

ID: 9410666