S. I. Fadeev, V. A. Likhoshvai, D. N. Shtokalo, V. K. Korolev, “Studying the mathematical models for the matrix synthesis of non-regular polymers of DNA, RNA and proteins”, Sib. Èlektron. Mat. Izv., 2010, Volume 7,Pages <nobr>467

This article is cited in 3 papers

Research papers

Studying the mathematical models for the matrix synthesis of non-regular polymers of DNA, RNA and proteins

S. I. Fadeev^ab, V. A. Likhoshvai^bc, D. N. Shtokalo^b, V. K. Korolev^a

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Novosibirsk State University
^c Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences

Abstract: In this paper we discuss the mathematical modeling of the matrix synthesis of non-regular polymers of DNA, RNA and proteins. As an example, we consider a non-linear model allowing for reversibility and sinks. Numerical methods are used to study the possibility of describing the constructed model by a delay differential equation.

Keywords: mathematical model, matrix synthesis, difference scheme, autonomous system of equations, delay differential equation, uniform convergence.

UDC: 519.61, 577.21

MSC: 37M05

Received December 9, 2010, published December 14, 2010