Article
Transcription, intercellular variability and correlated random walk.
Mathematical biosciences - 1 Nov 2008
Müller Johannes, Kuttler Christina, Hense Burkhard A, Zeiser Stefan, Liebscher Volkmar
Abstract excerpt
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...
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