Numerically solving physiological models based on a polynomial approach

Autor: Tudoret, F., Bardou, Alain, Carrault, Guy
Přispěvatelé: Laboratoire Traitement du Signal et de l'Image (LTSI), Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National de la Santé et de la Recherche Médicale (INSERM), Senhadji, Lotfi, Université de Rennes (UR)-Institut National de la Santé et de la Recherche Médicale (INSERM)
Jazyk: angličtina
Rok vydání: 2001
Předmět:
Cell Membrane Permeability
[INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing
MESH: Algorithms
Models
Biological
Ion Channels
Membrane Potentials
MESH: Computer Simulation
[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing
Humans
MESH: Membrane Potentials
Computer Simulation
MESH: Cell Membrane Permeability
MESH: Mathematical Computing
Mathematical Computing
[SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing
[SDV.IB] Life Sciences [q-bio]/Bioengineering
Cardiac Modeling
Models
Statistical
MESH: Humans
Model Based
MESH: Models
Biological
[MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]
MESH: Ion Channels
[SDV.IB]Life Sciences [q-bio]/Bioengineering
[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
Algorithms
MESH: Models
Statistical
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Zdroj: Acta Biotheor
Acta Biotheor, 2001, 49 (4), pp.247-60. ⟨10.1023/A:1014218308856⟩
DOI: 10.1023/A:1014218308856⟩
Popis: 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.
Databáze: OpenAIRE
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