Mean field interaction in biochemical reaction networks

Tembine Hamidou, R. Tempone, P. Vilanova

Research output: Chapter in Book/Report/Conference proceedingConference 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 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

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

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering

Cite this

Hamidou, T., 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). [6120274] https://doi.org/10.1109/Allerton.2011.6120274

Mean field interaction in biochemical reaction networks. / Hamidou, Tembine; Tempone, R.; Vilanova, P.

2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011. 2011. p. 991-997 6120274.

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

Hamidou, T, 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, 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
Hamidou T, Tempone R, Vilanova P. 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 https://doi.org/10.1109/Allerton.2011.6120274
Hamidou, Tembine ; Tempone, R. ; Vilanova, P. / Mean field interaction in biochemical reaction networks. 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011. 2011. pp. 991-997
@inproceedings{48d4d962dfb34c23b41e21ddbb88f58d,
title = "Mean field interaction in biochemical reaction networks",
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 = "Tembine Hamidou and R. Tempone and P. Vilanova",
year = "2011",
month = "12",
day = "1",
doi = "10.1109/Allerton.2011.6120274",
language = "English (US)",
isbn = "9781457718168",
pages = "991--997",
booktitle = "2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011",

}

TY - GEN

T1 - Mean field interaction in biochemical reaction networks

AU - Hamidou, Tembine

AU - Tempone, R.

AU - Vilanova, P.

PY - 2011/12/1

Y1 - 2011/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84856118946&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856118946&partnerID=8YFLogxK

U2 - 10.1109/Allerton.2011.6120274

DO - 10.1109/Allerton.2011.6120274

M3 - Conference contribution

SN - 9781457718168

SP - 991

EP - 997

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

ER -