Development of morphogen gradient: The role of dimension and discreteness

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dc.citation.articleNumber85102en_US
dc.citation.issueNumber8en_US
dc.citation.journalTitleThe Journal of Chemical Physicsen_US
dc.citation.volumeNumber140en_US
dc.contributor.authorTeimouri, Hamiden_US
dc.contributor.authorKolomeisky, Anatoly B.en_US
dc.contributor.orgCenter for Theoretical Biological Physicsen_US
dc.date.accessioned2017-05-24T16:33:35Zen_US
dc.date.available2017-05-24T16:33:35Zen_US
dc.date.issued2014en_US
dc.description.abstractThe fundamental processes of biological development are governed by multiple signaling molecules that create non-uniform concentration profiles known as morphogen gradients. It is widely believed that the establishment of morphogen gradients is a result of complex processes that involve diffusion and degradation of locally produced signaling molecules. We developed a multi-dimensional discrete-state stochastic approach for investigating the corresponding reaction-diffusion models. It provided a full analytical description for stationary profiles and for important dynamic properties such as local accumulation times, variances, and mean first-passage times. The role of discreteness in developing of morphogen gradients is analyzed by comparing with available continuum descriptions. It is found that the continuum models prediction about multiple time scales near the source region in two-dimensional and three-dimensional systems is not supported in our analysis. Using ideas that view the degradation process as an effective potential, the effect of dimensionality on establishment of morphogen gradients is also discussed. In addition, we investigated how these reaction-diffusion processes are modified with changing the size of the source region.en_US
dc.identifier.citationTeimouri, Hamid and Kolomeisky, Anatoly B.. "Development of morphogen gradient: The role of dimension and discreteness." <i>The Journal of Chemical Physics,</i> 140, no. 8 (2014) AIP Publishing: http://dx.doi.org/10.1063/1.4866453.en_US
dc.identifier.doihttp://dx.doi.org/10.1063/1.4866453en_US
dc.identifier.urihttps://hdl.handle.net/1911/94374en_US
dc.language.isoengen_US
dc.publisherAIP Publishingen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.titleDevelopment of morphogen gradient: The role of dimension and discretenessen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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