Mean field interaction in biochemical reaction networks

H. Tembine, R. Tempone

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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 languageEnglish (US)
Title of host publication2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Pages991-997
Number of pages7
DOIs
StatePublished - Dec 1 2011
Event2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 - Monticello, IL, United States
Duration: Sep 28 2011Sep 30 2011

Publication series

Name2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

Other

Other2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
CountryUnited States
CityMonticello, IL
Period9/28/119/30/11

Fingerprint

Chemical reactions

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Networks and Communications

Cite this

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

Mean field interaction in biochemical reaction networks. / Tembine, H.; Tempone, R.

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 proceedingConference contribution

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Tembine H, Tempone R. Mean field interaction in biochemical reaction networks. In 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). https://doi.org/10.1109/Allerton.2011.6120274