V. A. Likhoshvai, S. I. Fadeev, “On the shift of a regulatory signal in models of matrix synthesis”, Sib. Zh. Ind. Mat., 2013, Volume 16, Number 1,Pages <nobr>66

On the shift of a regulatory signal in models of matrix synthesis

V. A. Likhoshvai^ab, S. I. Fadeev^ac

^a Novosibirsk State University, Novosibirsk, Russia
^b Institute of Cytology and Genetics of the SDRAS, Novosibirsk, Russia
^c Sobolev Institute of Mathematics of the SDRAS, Novosibirsk, Russia

Abstract: The paper deals with the limiting properties of the matrix synthesis models thattake into account the phenomenon of branching and an unspecified number of intermediate stages. Numerically, it is shown that with unlimited increase in the number of intermediate stages, the shift os observed of the control signal along the chain synthesis. Also, compression of the control function, is inversely proportional to the branching ratio. If branching is absent, the hypothesis is proved by analogy with the available limit theorems.

Keywords: mathematical biology of the gene, matrix synthesis, a system of ordinary differential equations, retarded arguments, shift of regulatory signal, implicit scheme.

UDC: 519.61+577.21

Received: 15.06.2012