Email this article A three-cell model of the initial stage of development of a proneural cluster
- Authors: Ayupova N.B.1,2, Golubyatnikov V.P.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 11, No 2 (2017)
- Pages: 168-173
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212667
- DOI: https://doi.org/10.1134/S1990478917020028
- ID: 212667
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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.
About the authors
N. B. Ayupova
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: ayupova@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga, 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
V. P. Golubyatnikov
Sobolev Institute of Mathematics; Novosibirsk State University
Email: ayupova@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga, 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
