Title :
Mean field interaction in biochemical reaction networks
Author :
Tembine, H. ; Tempone, R. ; Vilanova, P.
Author_Institution :
Supelec, Ecole Super. d´´Electricite, Gif-sur-Yvette, France
Abstract :
In this paper we establish a relationship between chemical dynamics and mean field game dynamics. We show that chemical reaction networks can be studied using noisy mean field limits. We provide deterministic, noisy and switching mean field limits and illustrate them with numerical examples.
Keywords :
chemical reactions; game theory; numerical analysis; biochemical reaction network; chemical dynamics; deterministic mean field limit; mean field game dynamics; mean field interaction; noisy mean field limit; switching mean field limit; Chemicals; Differential equations; Equations; Games; Markov processes; Noise measurement; Switches;
Conference_Titel :
Communication, Control, and Computing (Allerton), 2011 49th Annual Allerton Conference on
Conference_Location :
Monticello, IL
Print_ISBN :
978-1-4577-1817-5
DOI :
10.1109/Allerton.2011.6120274
