Numerically solving physiological models based on a polynomial approach.

F Tudoret; A Bardou; G Carrault

doi:10.1023/a:1014218308856

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Numerically solving physiological models based on a polynomial approach.

F Tudoret·A Bardou·G Carrault

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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.

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Algorithms Cell Membrane Permeability Computer Simulation Humans Ion Channels Mathematical Computing Membrane Potentials Models, Biological Models, Statistical Journal Article

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F Tudoret, A Bardou, G Carrault. 2001. Numerically solving physiological models based on a polynomial approach.. https://doi.org/10.1023/a%3A1014218308856

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