Geodesic
Mathematical and numerical models of the central regulatory circuit of the morphogenesis system of Drosophila
Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 2, pp. 41-50

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The results are presented of mathematical and computer simulation of the functioning of the central regulatory circuit (CRC) which is the system integrator of gene networks of morphogenesis of Drosophila mechanoreceptors. The main element of the CRC is represented by the complex of achaete-scute ( AS-C) genes, the main genes of the mechanoreceptor morphogenesis. The content level of the proteins encoded by the AS-C genes is a determining factor for initiating the development of a mechanoreceptor. We carried out a comparative study of the CRC behavior under normal conditions and in the presence of mutational changes in the achaete-scute complex. The results of simulation are in good accord with the available biological data.
Keywords: nonlinear dynamical system, mathematical model, numerical simulation, gene network, Drosophila, central regulatory circuit, mechanoreceptor
Mots-clés : achaete-scute complex, mutation. 
@article{SJIM_2020_23_2_a2,
     author = {T. A. Bukharina and A. A. Akinshin and V. P. Golubyatnikov and D. P. Furman},
     title = {Mathematical and numerical models of the central regulatory circuit of the morphogenesis system of {Drosophila}},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {41--50},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2020_23_2_a2/}
}
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T. A. Bukharina; A. A. Akinshin; V. P. Golubyatnikov; D. P. Furman. Mathematical and numerical models of the central regulatory circuit of the morphogenesis system of Drosophila. Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 2, pp. 41-50. http://geodesic.mathdoc.fr/item/SJIM_2020_23_2_a2/