Accepted_test

We study two 10-dimensional systems of differential equations as mathematical models of pluripotency gene network functioning. Its main components are the proteins Oct4, Sox2, and Nanog. Equations of all these systems depend on 62 parameters which were assumed in previous publications to be fixed in all numerical experiments. In order to extend these earlier results to more general situations, we consider here all these dynamical systems in the cases when the value of all their parameters can vary. For such variable parameters and coefficients of these dynamical systems, we find conditions of non-uniqueness of their equilibrium points, and formulate a criterion of their stability. On the basis of these analytical studies, we have realized series of numerical experiments with these dynamical systems for non-fixed values of their parameters. Two cloud programming complexes were elaborated specially for these numerical experiments.