Reaction-agents: first mathematical validation of a multi-agent system for dynamical biochemical kinetics

  • Authors:
  • Pascal Redou;Sébastien Kerdelo;Christophe Le Gal;Gabriel Querrec;Vincent Rodin;Jean-François Abgrall;Jacques Tisseau

  • Affiliations:
  • CERV, European Center for Virtual Reality, Brest, France;CERV, European Center for Virtual Reality, Brest, France;CERV, European Center for Virtual Reality, Brest, France;CERV, European Center for Virtual Reality, Brest, France;CERV, European Center for Virtual Reality, Brest, France;Hematology Laboratory, CHU Brest, Brest, France;CERV, European Center for Virtual Reality, Brest, France

  • Venue:
  • EPIA'05 Proceedings of the 12th Portuguese conference on Progress in Artificial Intelligence
  • Year:
  • 2005

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Abstract

In the context of multi-agent simulation of biological complex systems, we present a reaction-agent model for biological chemical kinetics that enables interaction with the simulation during the execution. In a chemical reactor with no spatial dimension -e.g. a cell-, a reaction-agent represents an autonomous chemical reaction between several reactants : it reads the concentration of reactants, adapts its reaction speed, and modifies consequently the concentration of reaction products. 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 change- based on differential systems. We establish formal proofs of convergence for our reaction-agent methods, generally quadratic. We illustrate our model with an example about the extrinsic pathway of blood coagulation.