MATRIX PROCESS MODELING: STUDY OF A MODEL OF SYNTHESIS OF LINEAR BIOMOLECULES WITH REGARD TO REVERSIBILITY OF PROCESSES

*SUMMARY Motivation: Matrix processes of replication, transcription, and translation, including hundreds and thousands of elongation stages of the same type, is essential part of natural and artificial genetic systems. To reflect adequately these processes in models of gene networks it is necessary to elaborate effective theoretical and numerical mathematical methods. Results: In this paper we present our research of a mathematical model of synthesis of linear biomolecules with regard to reversibility of processes of tailing of monomers to growing molecules and spontaneous termination of the synthesis process.