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Müller, J.* ; Kuttler, C. ; Hense, B.A. ; Zeiser, S. ; Liebscher, V.*

Transcription, intercellular variability and correlated random walk.

Math. Biosci. 216, 30-39 (2008)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
We develop a simple model for the random distribution of a gene product. it is assumed that the only source of variance is due to switching transcription on and off by a random process. Under the condition that the transition rates between on and off are constant we find that the amount of mRNA follows a scaled Beta distribution. Additionally, a simple positive feedback loop is considered. The simplicity of the model allows for an explicit solution also in this setting. These findings in turn allow, e.g., for easy parameter scans. We find that bistable behavior translates into bimodal distributions. These theoretical findings are in line with experimental results.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Intercell variability; Feedback; Bimodal distribution; Correlated random walk
Language english
Publication Year 2008
HGF-reported in Year 2008
ISSN (print) / ISBN 0025-5564
e-ISSN 1879-3134
Journal Mathematical Biosciences
Quellenangaben Volume: 216, Issue: 1, Pages: 30-39 Article Number: , Supplement: ,
Publisher Elsevier
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)
PSP Element(s) FE 73822
DOI 10.1016/j.mbs.2008.08.003
Scopus ID 54249085297
Erfassungsdatum 2008-12-31
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