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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2020 Volume 23, Number 2, Pages 41–50 (Mi sjim1086)

This article is cited in 8 papers

Mathematical and numerical models of the central regulatory circuit of the morphogenesis system of Drosophila

T. A. Bukharinaa, A. A. Akinshinb, V. P. Golubyatnikovcb, D. P. Furmanac

a Federal Research Center Institute of Cytology and Genetics SB RAS, pr. Akad. Lavrentieva 10, Novosibirsk 630090, Russia
b Sobolev Institute of Mathematics SB RAS, pr. Akad. Koptyuga 4, Novosibirsk 630090, Russia
c Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia

Abstract: 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, achaete-scute complex, mutation.

UDC: 514.745.82

Received: 02.12.2019
Revised: 15.01.2020
Accepted: 09.04.2020

DOI: 10.33048/SIBJIM.2020.23.203


 English version:
Journal of Applied and Industrial Mathematics, 2020, 14:2, 249–255

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