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SIMULATION
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Cell-DEVS/GDEVS for Complex Continuous Systems

Gabriel A. Wainer

Department of Systems and Computer Engineering, Carleton University, 4456 Mackenzie Building, 1125 Colonel By Drive, Ottawa, Ontario, K1S 5B6, Canada, Gabriel.Wainer{at}sce.carleton.ca

Norbert Giambiasi

Université d’Aix-Marseille III, Av. Escadrille Normandie Niemen, 13397 Marseilles, Cédex 20, France

The Cell-Discrete Event System Specification (Cell-DEVS) formalism allows defining asynchronous cell spaces with explicit timing delays (based on the specifications of the DEVS formalism). The authors used Cell-DEVS to solve different applications and go one step further in the definition of complex continuous systems by combining Cell-DEVS and Generalized DEVS (GDEVS). They focus on a model describing the electrical behavior of the heart tissue, as previous research in this field has thoroughly studied this problem using differential equations and cellular automata. The authors show that they can provide adequate levels of precision at a fraction of the computing cost of differential equations. Their thesis is that the use of the GDEVS formalism is perfectly suited to attack problems such as this one, improving complex systems analysis. The authors show that their approach permits making models easily extensible to provide different actions in different cells while not affecting performance.

Key Words: DEVS models • Cell-DEVS models • GDEVS • cellular automata • discrete event simulation • heart tissue modeling • Hodgkin-Huxley model

SIMULATION, Vol. 81, No. 2, 137-151 (2005)
DOI: 10.1177/0037549705052233
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