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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 möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Intercell variability; Feedback; Bimodal distribution; Correlated random walk
ISSN (print) / ISBN 0025-5564
e-ISSN 1879-3134
Zeitschrift Mathematical Biosciences
Quellenangaben Band: 216, Heft: 1, Seiten: 30-39 Artikelnummer: , Supplement: ,
Verlag Elsevier
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biomathematics and Biometry (IBB)