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Phys. Rev. E 80, 031916 (2009) [8 pages]

Probing noise in gene expression and protein production

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Sandro Azaele1, Jayanth R. Banavar2, and Amos Maritan3,4
1Department of Civil and Environmental Engineering, E-Quad, Princeton University, Princeton, New Jersey 08544, USA
2Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, University Park, Pennsylvania 16802, USA
3Dipartimento di Fisica “Galileo Galilei,” Università di Padova, via Marzolo 8, I-35131 Padova, Italy
4INFN, via Marzolo 8, I-35131 Padova, Italy

Received 30 January 2009; revised 27 July 2009; published 24 September 2009

We derive exact solutions of simplified models for the temporal evolution of the protein concentration within a cell population arbitrarily far from the stationary state. We show that monitoring the dynamics can assist in modeling and understanding the nature of the noise in gene expression. We analyze the dispersion of the process, i.e., the ratio of the variance to the mean at arbitrary time, and introduce a measure, the fractional protein distribution, which can be used to probe the phase of transcription of DNA into mRNA.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.031916
DOI:
10.1103/PhysRevE.80.031916
PACS:
82.39.Rt, 02.50.−r, 87.17.Aa