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

Department of Mathematical Sciences

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

2 Scopus citations

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
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: 28 Sep 2011 → 30 Sep 2011

Publication series

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

Conference

Conference	2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Country/Territory	United States
City	Monticello, IL
Period	28/09/11 → 30/09/11

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

@inproceedings{3ded03ec9e544827878bc2e7030a188d,

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

year = "2011",

doi = "10.1109/Allerton.2011.6120274",

language = "English",

isbn = "9781457718168",

series = "2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011",

pages = "991--997",

booktitle = "2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011",

note = "2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 ; Conference date: 28-09-2011 Through 30-09-2011",

}

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, 28/09/11. 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 › peer-review

TY - GEN

T1 - Mean field interaction in biochemical reaction networks

AU - Tembine, H.

AU - Tempone, R.

AU - Vilanova, P.

PY - 2011

Y1 - 2011

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

AN - SCOPUS:84856118946

SN - 9781457718168

T3 - 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

SP - 991

EP - 997

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

T2 - 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

Y2 - 28 September 2011 through 30 September 2011

ER -

Mean field interaction in biochemical reaction networks

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this