Geodesic
A three-cell model of the initial stage of the development of one proneural cluster
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 2, pp. 15-20

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We construct a $9$-dimensional nonlinear dynamical system modeling the initial stage of the interaction of three adjacent cells in a proneural cluster of Drosophila melanogaster. Conditions of existence of three stable equilibrium points in the phase portrait of this system are obtained, other equilibrium points are listed, a biological interpretation is given.
Keywords: nonlinear dynamical system, gene network, negative and positive feedback, equilibrium point, stability.
Mots-clés : phase portrait 
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     author = {N. B. Ayupova and V. P. Golubyatnikov},
     title = {A three-cell model of the initial stage of the development of one proneural cluster},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {15--20},
     publisher = {mathdoc},
     volume = {20},
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     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_2_a1/}
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N. B. Ayupova; V. P. Golubyatnikov. A three-cell model of the initial stage of the development of one proneural cluster. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 2, pp. 15-20. http://geodesic.mathdoc.fr/item/SJIM_2017_20_2_a1/