Bioinformatics Preprint 07-006

**Download:**

[PDF]
[Supplemental Material]

**Titel:
**

**
The transient probability distribution of M/M/&infty;:
a stochastic model for transcription factor binding
site evolution
**

**Author(s):**

Günter P. Wagner,
Wolfgang Otto,
Vincent Lynch,
Peter F. Stadler

**Submitted**

**Abstract:**

Both experimental as well as sequence evolution evidence suggests that
transcription factor binding sites can undergo divergence and turnover even
when the transcriptional output remains conserved. Furthermore it is likely
that there exist lineage specific differences in the retention rate of
binding sites that make it desirable to estimate the rate of acquisition
and decay of transcription factor binding sites from comparative sequence
data. In this paper we propose a stochastic, phenomenological model for
binding site turnover. For a given genomic region we assume a constant rate
of binding site origination /lambda/ and a constant per site decay rate of
/mu/. We derived an explicit expression for the conditional probability
distribution of the number of binding sites *n* at time *t* given
*n _{0}* binding sites at

**Keywords:**

Return to 2007 working papers list.

Last modified: 2006-08-09 15:54:23 xtof