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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.
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https://www.hal.inserm.fr/inserm-00134398
Contributor : Lotfi Senhadji <>
Submitted on : Thursday, March 1, 2007 - 10:01:17 PM
Last modification on : Wednesday, May 16, 2018 - 11:23:08 AM

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F. Tudoret, Alain Bardou, Guy Carrault. Numerically solving physiological models based on a polynomial approach.. Acta Biotheor, 2001, 49 (4), pp.247-60. ⟨10.1023/A:1014218308856⟩. ⟨inserm-00134398⟩

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