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


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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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N. Ayupova

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: ayupova@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga, 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

V. Golubyatnikov

Sobolev Institute of Mathematics; Novosibirsk State University

Email: ayupova@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga, 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

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