Abstract <p>We consider nonlinear dynamical systems as models of interaction of components of a gene network which regulates early stages of an embryonic stem cells state. A parametric analysis of these dynamical systems is performed in order to describe the (non)uniqueness and stability of their equilibriums. We have obtained a criterion of existence of periodic trajectories near these points and localized such oscillations on the phase portraits of dynamical systems which describe these processes. A special software for cloud numerical experiments with such systems has been elaborated.</p>

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Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics

  • V. P. Golubyatnikov,
  • E. A. Tatarinova

摘要

Abstract

We consider nonlinear dynamical systems as models of interaction of components of a gene network which regulates early stages of an embryonic stem cells state. A parametric analysis of these dynamical systems is performed in order to describe the (non)uniqueness and stability of their equilibriums. We have obtained a criterion of existence of periodic trajectories near these points and localized such oscillations on the phase portraits of dynamical systems which describe these processes. A special software for cloud numerical experiments with such systems has been elaborated.