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2012 ACM/IEEE/SCS 26th Workshop on Principles of Advanced and Distributed Simulation (2007)
San Diego, California, USA
June 12, 2007 to June 15, 2007
ISBN: 0-7695-2898-8
pp: 93-104
Gireg Desmeulles , Brest University Hospital, France
Jacques Tisseau , Brest University Hospital, France
Pascal Redou , Brest University Hospital, France
Jean-Francois Abgrall , Brest University Hospital, France
Sebastien Kerdelo , Brest University Hospital, France
Vincent Rodin , Brest University Hospital, France
ABSTRACT
In the context of biological complex systems multi-agent simulation, we present an interaction-agentmodel for reaction-diffusion problems that enables interaction with the simulation during the execution, and we establish a mathematical validation for our model. We use two types of interaction-agents: on one hand, in a chemical reactor with no spatial dimension -e.g. a cell-, a reaction-agent represents an autonomous chemical reaction between several reactants, and modifies the concentration of reaction products. On the other hand, we use interface-agents in order to take into account the spatial dimension that appears with diffusion : interface-agents achieve the matching transfer of reactants between cells. This approach, where the simulation engine makes agents intervene in a chaotic and asynchronous way, is an alternative to the classical model - which is not relevant when the limits conditions are frequently modified- based on partial derivative equations. We enounciate convergence results for our interaction-agent methods, and illustrate our model with an example about coagulation inside a blood vessel.
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CITATION
Gireg Desmeulles, Jacques Tisseau, Pascal Redou, Jean-Francois Abgrall, Sebastien Kerdelo, Vincent Rodin, "Formal Validation of Asynchronous Interaction-Agents Algorithms for Reaction-Diffusion Problems", 2012 ACM/IEEE/SCS 26th Workshop on Principles of Advanced and Distributed Simulation, vol. 00, no. , pp. 93-104, 2007, doi:10.1109/PADS.2007.19
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