Investigation of stationary solutions in models of gene networks by the homotopy method

Regarding gene networks as an object of computing and mathematical research we should note that its specific character expresses in very-large-scale systems. The foundation of these systems consists of biochemical processes and phenomena of passive and active transfer of substances and energy between the compartments. Therefore they can be represented as autonomous systems. It generates a need of development of theoretical and numerical methods for analyzing such systems. In this article the homotopy method is being developed for the construction of stationary solutions of dynamic models of gene networks.