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

Authors:
Laurent Tournier
Affiliations:
Laboratoire de Modélisation et Calcul, Grenoble cedex, France
Venue:
Proceedings of the 2005 international symposium on Symbolic and algebraic computation
Year:
2005

Citing 3
Cited 0

XS-systems: eXtended S-Systems and Algebraic Differential Automata for Modeling Cellular Behavior

HiPC '02 Proceedings of the 9th International Conference on High Performance Computing
XS-systems: eXtended S-Systems and Algebraic Differential Automata for Modeling Cellular Behavior

HiPC '02 Proceedings of the 9th International Conference on High Performance Computing
A computer algebra approach to biological systems

ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

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 example in 14 dimensions which is a subsystem of a metabolic pathway in Arabidopsis Thaliana.