title: Numerically solving physiological models based on a polynomial approach.
abstract: Much research effort has been directed in different physiological contexts towards describing realistic behaviors with differential equations. One observes obviously that more state-variables give the model more accuracy. Unfortunately, the computational cost involved is higher. A new algorithm is presented for simulating a model described by a system of differential equations in which efficiency may not be altered by its size. In order to do this, the method is based on a polynomial description of the state-variables' evolution and on a computation distributed control. Evaluations and results performed with classical models like Fitzhugh Nagumo or Hodgkin Huxley, allow validation of the method and exhibits its potential to decrease the computational costs.
authors.affiliation: Laboratoire Traitement du Signal et de l'Image, INSERM 99-34, Université de Rennes 1, France.
authors.forename: F
authors.initials: F
authors.lastname: Tudoret
authors.forename: A
authors.initials: A
authors.lastname: Bardou
authors.forename: G
authors.initials: G
authors.lastname: Carrault
mesh_terms: D000465:Algorithms; D002463:Cell Membrane Permeability / Q000502:physiology; D003198:Computer Simulation; D006801:Humans; D007473:Ion Channels / Q000502:physiology; D008432:Mathematical Computing; D008564:Membrane Potentials / Q000502:physiology; D008954:Models, Biological; D015233:Models, Statistical
chemical_list: D007473:Ion Channels