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dc.contributor.authorValleriani, Angelo
Li, Xin
Kolomeisky, Anatoly B.
dc.date.accessioned 2014-07-31T21:17:58Z
dc.date.available 2014-07-31T21:17:58Z
dc.date.issued 2014
dc.identifier.citation Valleriani, Angelo, Li, Xin and Kolomeisky, Anatoly B.. "Unveiling the hidden structure of complex stochastic biochemical networks." The Journal of Chemical Physics, 140, no. 6 (2014) AIP Publishing LLC: 64101. http://dx.doi.org/10.1063/1.4863997.
dc.identifier.urihttps://hdl.handle.net/1911/76313
dc.description.abstract Complex Markov models is a widely used and powerful predictive tool to analyze stochastic biochemical processes. When, however, the network of states is unknown, it is necessary to extract information from the data to partially build the network and to give estimates about the rates. The short-time behavior of the first-passage time distributions between two states in linear chains has been shown recently to behave as a power of time with an exponent equal to the number of intermediate states. For a general Markov network system we derive here the complete Taylor expansion of the first passage time distribution in terms of absorption times. By combining algebraic methods and graph theoretical approaches it is shown that the first term of the Taylor expansion is determined by the shortest path from the initial state to the absorbing state. When this path is unique, we prove that the coefficient of the first term can be written in terms of the product of the transition rates along the path. It is argued that the application of our results to first-return times may be used to estimate the dependence of rates from external parameters in experimentally measured time distributions.
dc.language.iso eng
dc.publisher AIP Publishing LLC
dc.rights This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by AIP Publishing LLC.
dc.title Unveiling the hidden structure of complex stochastic biochemical networks
dc.type Journal article
dc.contributor.funder Welch Foundation
dc.citation.journalTitle The Journal of Chemical Physics
dc.contributor.org Center for Theoretical Biological Physics
dc.citation.volumeNumber 140
dc.citation.issueNumber 6
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1063/1.4863997
dc.identifier.pmcid PMC4108629
dc.identifier.pmid 24527894
dc.identifier.grantID C-1559 (Welch Foundation)
dc.type.publication post-print
dc.citation.firstpage 64101


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