Mean field interaction in biochemical reaction networks

H. Tembine; R. Tempone; P. Vilanova

doi:10.1109/Allerton.2011.6120274

Mean field interaction in biochemical reaction networks

H. Tembine, R. Tempone, P. Vilanova

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English (US)
Title of host publication	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Pages	991-997
Number of pages	7
DOIs	https://doi.org/10.1109/Allerton.2011.6120274
State	Published - 2011
Event	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 - Monticello, IL, United States Duration: Sep 28 2011 → Sep 30 2011

Publication series

Name	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

Other

Other	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Country/Territory	United States
City	Monticello, IL
Period	9/28/11 → 9/30/11

ASJC Scopus subject areas

Computer Networks and Communications
Control and Systems Engineering

Access to Document

10.1109/Allerton.2011.6120274

Cite this

Tembine, H., Tempone, R., & Vilanova, P. (2011). Mean field interaction in biochemical reaction networks. In 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 (pp. 991-997). Article 6120274 (2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011). https://doi.org/10.1109/Allerton.2011.6120274

Mean field interaction in biochemical reaction networks. / Tembine, H.; Tempone, R.; Vilanova, P.
2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011. 2011. p. 991-997 6120274 (2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Tembine, H, Tempone, R & Vilanova, P 2011, Mean field interaction in biochemical reaction networks. in 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011., 6120274, 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011, pp. 991-997, 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011, Monticello, IL, United States, 9/28/11. https://doi.org/10.1109/Allerton.2011.6120274

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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.",

author = "H. Tembine and R. Tempone and P. Vilanova",

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language = "English (US)",

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Mean field interaction in biochemical reaction networks

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