MATRIX PROCESS MODELLING: DEPENDENCE OF SOLUTIONS OF A SYSTEM OF DIFFERENTIAL EQUATIONS ON PARAMETER

SUMMARY Motivation: Matrix processes of replication, transcription, and translation are essential part of natural and artificial genetic systems. To reflect adequately these processes in models of gene networks it is necessary to describe hundreds and thousands elongation steps. Hence, a necessity appears to develop theoretical and numerical studies aimed at searching for conditions that favor to diminishing of dimensionality of the gene networks models without loosing their adequacy. Results: In the present paper we analyze a mathematical model describing a regulated process of matrix synthesis of RNA and proteins.