Approximation of dynamical systems using S-systems theory : application to biological systems

@inproceedings{Tournier2005ApproximationOD,
  title={Approximation of dynamical systems using S-systems theory : application to biological systems},
  author={Laurent Tournier},
  booktitle={ISSAC},
  year={2005}
}
In this article we propose a new symbolic-numeric algorithm to find positive equilibria of a n-dimensional dynamical system. This algorithm uses a symbolic manipulation of ODE in order to give a local approximation of differential equations with power-law dynamics (S-systems). A numerical calculus is then performed to converge towards an equilibrium, giving at the same time a S-system approximating the initial system around this equilibrium. This algorithm has been applied to a real biological… CONTINUE READING
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