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Single-molecule stochastic times in a reversible bimolecular reaction

  • In this work, we consider the reversible reaction between reactants of species A and B to form the product C. We consider this reaction as a prototype of many pseudobiomolecular reactions in biology, such as for instance molecular motors. We derive the exact probability density for the stochastic waiting time that a molecule of species A needs until the reaction with a molecule of species B takes place. We perform this computation taking fully into account the stochastic fluctuations in the number of molecules of species B. We show that at low numbers of participating molecules, the exact probability density differs from the exponential density derived by assuming the law of mass action. Finally, we discuss the condition of detailed balance in the exact stochastic and in the approximate treatment.

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Metadaten
Author details:Peter Keller, Angelo VallerianiORCiDGND
DOI:https://doi.org/10.1063/1.4747337
ISSN:0021-9606
Title of parent work (English):The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr
Publisher:American Institute of Physics
Place of publishing:Melville
Publication type:Article
Language:English
Year of first publication:2012
Publication year:2012
Release date:2017/03/26
Volume:137
Issue:8
Number of pages:7
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer review:Referiert
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