Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
34
pubmed:dateCreated
2008-8-27
pubmed:abstractText
We established a theoretical framework for studying nonequilibrium networks with two distinct natures essential for characterizing the global probabilistic dynamics: the underlying potential landscape and the corresponding curl flux. We applied the idea to a biochemical oscillation network and found that the underlying potential landscape for the oscillation limit cycle has a distinct closed ring valley (Mexican hat-like) shape when the fluctuations are small. This global landscape structure leads to attractions of the system to the ring valley. On the ring, we found that the nonequilibrium flux is the driving force for oscillations. Therefore, both structured landscape and flux are needed to guarantee a robust oscillating network. The barrier height separating the oscillation ring and other areas derived from the landscape topography is shown to be correlated with the escaping time from the limit cycle attractor and provides a quantitative measure of the robustness for the network. The landscape becomes shallower and the closed ring valley shape structure becomes weaker (lower barrier height) with larger fluctuations. We observe that the period and the amplitude of the oscillations are more dispersed and oscillations become less coherent when the fluctuations increase. We also found that the entropy production of the whole network, characterizing the dissipation costs from the combined effects of both landscapes and fluxes, decreases when the fluctuations decrease. Therefore, less dissipation leads to more robust networks. Our approach is quite general and applicable to other networks, dynamical systems, and biological evolution. It can help in designing robust networks.
pubmed:commentsCorrections
http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-10659856, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-11720979, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-11792856, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-11955179, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-12124397, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-12237400, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-12606710, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-12786043, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-12787501, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-16361441, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-17350995, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-17381233, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-17397255, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-1749933, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-17916691, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-17962411, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-18420822, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-7886447, http://linkedlifedata.com/resource/pubmed/commentcorrection/18719111-8909137
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:status
MEDLINE
pubmed:month
Aug
pubmed:issn
1091-6490
pubmed:author
pubmed:issnType
Electronic
pubmed:day
26
pubmed:volume
105
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
12271-6
pubmed:dateRevised
2009-11-18
pubmed:meshHeading
pubmed:year
2008
pubmed:articleTitle
Potential landscape and flux framework of nonequilibrium networks: robustness, dissipation, and coherence of biochemical oscillations.
pubmed:affiliation
State Key Laboratory of Electroanalytical Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun, Jilin 130022, People's Republic of China. jin.wang.1@stonybrook.edu
pubmed:publicationType
Journal Article, Research Support, Non-U.S. Gov't