Acta Biotheoretica 49 (4):247-260 (2001)
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.
|Keywords||Philosophy Philosophy of Biology Evolutionary Biology|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Comparing Boolean and Piecewise Affine Differential Models for Genetic Networks.Jean-Luc Gouzé - 2010 - Acta Biotheoretica 58 (2):217-232.
Models of Machines and Models of Phenomena.Susan G. Sterrett - 2006 - International Studies in the Philosophy of Science 20 (1):69 – 80.
Visual Models in Analogical Problem Solving.Jim Davies, Nancy J. Nersessian & Ashok K. Goel - 2005 - Foundations of Science 10 (1):133-152.
A Multiagent Approach to Modelling Complex Phenomena.Francesco Amigoni & Viola Schiaffonati - 2008 - Foundations of Science 13 (2):113-125.
Model-Based Analyses: Promises, Pitfalls, and Example Applications to the Study of Cognitive Control.Rogier B. Mars, Nicholas Shea, Nils Kolling & Matthew F. S. Rushworth - 2012 - Quarterly Journal of Experimental Psychology 65 (2):252-267.
Is It Possible to Equilibrate the Different “Levels” of an Imbalanced Biological System by Acting Upon One of Them Only? Example of the Agonistic Antagonistic Networks.E. Bernard-Weil - 1991 - Acta Biotheoretica 39 (3-4):271-285.
Model-Based Reasoning in Distributed Cognitive Systems.Nancy J. Nersessian - 2006 - Philosophy of Science 73 (5):699-709.
Multi-Formalism Modelling and Simulation: Application to Cardiac Modelling.A. Defontaine, A. Hernández & G. Carrault - 2004 - Acta Biotheoretica 52 (4):273-290.
Modeling of Phenomena and Dynamic Logic of Phenomena.Boris Kovalerchuk, Leonid Perlovsky & Gregory Wheeler - 2012 - Journal of Applied Non-Classical Logic 22 (1):1-82.
Le Problème Des granDes Puissances Et Celui Des granDes Racines.Natacha Portier - 2000 - Journal of Symbolic Logic 65 (4):1675-1685.
Added to index2009-01-28
Total downloads6 ( #550,974 of 2,154,168 )
Recent downloads (6 months)1 ( #397,226 of 2,154,168 )
How can I increase my downloads?