Numerically solving physiological models based on a polynomial approach.
Tudoret, F. ; Bardou, Alain ; Carrault, Guy
HAL, inserm-00134398 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-05
Classification:  Cardiac Modeling,  Model Based,  MESH: Algorithms,  MESH: Cell Membrane Permeability,  MESH: Computer Simulation,  MESH: Humans,  MESH: Ion Channels,  MESH: Mathematical Computing,  MESH: Membrane Potentials,  MESH: Models, Biological,  MESH: Models, Statistical,  [SDV.IB]Life Sciences [q-bio]/Bioengineering,  [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],  [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing 
@article{inserm-00134398,
     author = {Tudoret, F. and Bardou, Alain and Carrault, Guy},
     title = {Numerically solving physiological models based on a polynomial approach.},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inserm-00134398}
}

Tudoret, F.; Bardou, Alain; Carrault, Guy. Numerically solving physiological models based on a polynomial approach.. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/inserm-00134398/