David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 49 (4) (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||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Jean-Luc Gouzé (2010). Comparing Boolean and Piecewise Affine Differential Models for Genetic Networks. Acta Biotheoretica 58 (2):217-232.
Susan G. Sterrett (2006). Models of Machines and Models of Phenomena. International Studies in the Philosophy of Science 20 (1):69 – 80.
Jim Davies, Nancy J. Nersessian & Ashok K. Goel (2005). Visual Models in Analogical Problem Solving. Foundations of Science 10 (1):133-152.
Francesco Amigoni & Viola Schiaffonati (2008). A Multiagent Approach to Modelling Complex Phenomena. Foundations of Science 13 (2):113-125.
Rogier B. Mars, Nicholas Shea, Nils Kolling & Matthew F. S. Rushworth (2012). Model-Based Analyses: Promises, Pitfalls, and Example Applications to the Study of Cognitive Control. Quarterly Journal of Experimental Psychology 65 (2):252-267.
E. Bernard-Weil (1991). 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. Acta Biotheoretica 39 (3-4).
Nancy J. Nersessian (2006). Model-Based Reasoning in Distributed Cognitive Systems. Philosophy of Science 73 (5):699-709.
A. Defontaine, A. Hernández & G. Carrault (2004). Multi-Formalism Modelling and Simulation: Application to Cardiac Modelling. Acta Biotheoretica 52 (4).
Boris Kovalerchuk, Leonid Perlovsky & Gregory Wheeler (2012). Modeling of Phenomena and Dynamic Logic of Phenomena. Journal of Applied Non-Classical Logic 22 (1):1-82.
Natacha Portier (2000). Le Problème Des granDes Puissances Et Celui Des granDes Racines. Journal of Symbolic Logic 65 (4):1675-1685.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Recent downloads (6 months)0
How can I increase my downloads?