Quasi-potential and Two-Scale Large Deviation Theory for Gillespie Dynamics

Handle URI:
http://hdl.handle.net/10754/624856
Title:
Quasi-potential and Two-Scale Large Deviation Theory for Gillespie Dynamics
Authors:
Li, Tiejun; Li, Fangting; Li, Xianggang; Lu, Cheng
Abstract:
The construction of energy landscape for bio-dynamics is attracting more and more attention recent years. In this talk, I will introduce the strategy to construct the landscape from the connection to rare events, which relies on the large deviation theory for Gillespie-type jump dynamics. In the application to a typical genetic switching model, the two-scale large deviation theory is developed to take into account the fast switching of DNA states. The comparison with other proposals are also discussed. We demonstrate different diffusive limits arise when considering different regimes for genetic translation and switching processes.
Conference/Event name:
Advances in Uncertainty Quantification Methods, Algorithms and Applications (UQAW 2016)
Issue Date:
7-Jan-2016
Type:
Presentation
Additional Links:
http://mediasite.kaust.edu.sa/Mediasite/Play/dbdb315ec34c4d3b89ebb53fb41c19fa1d?catalog=ca65101c-a4eb-4057-9444-45f799bd9c52
Appears in Collections:
Conference on Advances in Uncertainty Quantification Methods, Algorithms and Applications (UQAW 2016)

Full metadata record

DC FieldValue Language
dc.contributor.authorLi, Tiejunen
dc.contributor.authorLi, Fangtingen
dc.contributor.authorLi, Xianggangen
dc.contributor.authorLu, Chengen
dc.date.accessioned2017-06-08T06:32:29Z-
dc.date.available2017-06-08T06:32:29Z-
dc.date.issued2016-01-07-
dc.identifier.urihttp://hdl.handle.net/10754/624856-
dc.description.abstractThe construction of energy landscape for bio-dynamics is attracting more and more attention recent years. In this talk, I will introduce the strategy to construct the landscape from the connection to rare events, which relies on the large deviation theory for Gillespie-type jump dynamics. In the application to a typical genetic switching model, the two-scale large deviation theory is developed to take into account the fast switching of DNA states. The comparison with other proposals are also discussed. We demonstrate different diffusive limits arise when considering different regimes for genetic translation and switching processes.en
dc.relation.urlhttp://mediasite.kaust.edu.sa/Mediasite/Play/dbdb315ec34c4d3b89ebb53fb41c19fa1d?catalog=ca65101c-a4eb-4057-9444-45f799bd9c52en
dc.titleQuasi-potential and Two-Scale Large Deviation Theory for Gillespie Dynamicsen
dc.typePresentationen
dc.conference.dateJanuary 5-10, 2016en
dc.conference.nameAdvances in Uncertainty Quantification Methods, Algorithms and Applications (UQAW 2016)en
dc.conference.locationKAUSTen
dc.contributor.institutionPeking Universityen
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