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Open Access Green as soon as Postprint is submitted to ZB.
Transcription, intercellular variability and correlated random walk.
Math. Biosci. 216, 30-39 (2008)
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
ISSN (print) / ISBN
0025-5564
e-ISSN
1879-3134
Journal
Mathematical Biosciences
Quellenangaben
Volume: 216,
Issue: 1,
Pages: 30-39
Publisher
Elsevier
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)