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

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dc.creatorTournier, Laurent
dc.date2005-03-03
dc.date.accessioned2026-07-07T03:22:35Z
dc.date.available2026-07-07T03:22:35Z
dc.descriptionIn this paper we propose a new symbolic-numeric algorithm to find positive equilibria of a n-dimensional dynamical system. This algorithm implies 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 needed to converge towards an equilibrium, giving at the same time a S-system approximating the initial system around this equilibrium. This algorithm is applied to a real biological example in 14 dimensions which is a subsystem of a metabolic pathway in Arabidopsis Thaliana.
dc.identifierhttps://arxiv.org/abs/cs/0503008
dc.identifierhttp://arxiv.org/abs/cs/0503008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32653
dc.subjectSymbolic Computation
dc.subjectDynamical Systems
dc.subjectMolecular Networks
dc.titleApproximation of dynamical systems using S-systems theory : application to biological systems
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