Emergent Lévy Behavior In Single-cell Stochastic Gene Expression

Simple item page
dc.contributor.authorJia, Chenen_US
dc.contributor.authorZhang, Michael Q.en_US
dc.contributor.authorQian, H.en_US
dc.contributor.utdAuthorJia, Chenen_US
dc.contributor.utdAuthorZhang, Michael Q.en_US
dc.date.accessioned2018-08-20T16:19:11Z
dc.date.available2018-08-20T16:19:11Z
dc.date.created2017-10-18en_US
dc.date.issued2018-08-20
dc.descriptionIncludes supplementary materialen_US
dc.description.abstractSingle-cell gene expression is inherently stochastic; its emergent behavior can be defined in terms of the chemical master equation describing the evolution of the mRNA and protein copy numbers as the latter tends to infinity. We establish two types of "macroscopic limits": the Kurtz limit is consistent with the classical chemical kinetics, while the Lévy limit provides a theoretical foundation for an empirical equation proposed in N. Friedman et al., Phys. Rev. Lett. 97, 168302 (2006). Furthermore, we clarify the biochemical implications and ranges of applicability for various macroscopic limits and calculate a comprehensive analytic expression for the protein concentration distribution in autoregulatory gene networks. The relationship between our work and modern population genetics is discussed.en_US
dc.description.departmentSchool of Natural Sciences and Mathematicsen_US
dc.description.sponsorship"This work was supported by NIH Grants No. MH102616, No. MH109665, and No. R01GM109964, and also by NSFC Grants No. 31671384 and No. 91329000."en_US
dc.identifier.bibliographicCitationJia, C., M. Q. Zhang, and H. Qian. 2017. "Emergent Lévy behavior in single-cell stochastic gene expression." Physical Review E 96(4), doi:10.1103/PhysRevE.96.040402en_US
dc.identifier.issn2470-0045en_US
dc.identifier.issue4en_US
dc.identifier.urihttp://hdl.handle.net/10735.1/5981
dc.identifier.volume96en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevE.96.040402
dc.rights©2017 American Physical Society. All Rights Reserved.en_US
dc.sourcePhysical Review E
dc.subjectGenesen_US
dc.subjectProteinsen_US
dc.subjectStochastic systemsen_US
dc.subjectBiochemistryen_US
dc.subjectPopulation geneticsen_US
dc.subjectTheoretical foundationsen_US
dc.subjectGene expressionen_US
dc.titleEmergent Lévy Behavior In Single-cell Stochastic Gene Expressionen_US
dc.type.genrearticleen_US

Files

Original bundle

Now showing 1 - 2 of 2
Thumbnail Image
Name:
NSM-3154-8143.08.pdf
Size:
349.76 KB
Format:
Adobe Portable Document Format
Description:
Article
Download
Thumbnail Image
Name:
NSM-3154-8143.08_S1.pdf
Size:
366.05 KB
Format:
Adobe Portable Document Format
Description:
Supplement
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
American Physical Society.pdf
Size:
62.1 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Zhang, Michael Q.