Department of Physics Papers

Document Type

Journal Article

Date of this Version

9-27-2007

Comments

Suggested Citation:
Brenner, N. and Shokef, Y. (2007). Nonequilibrium Statistical Mechanics of Dividing Cell Populations. Physical Review Letters. 99, 138102.

© 2007 The American Physical Society.
http://dx.doi.org/PhysRevLett.99.138102

Abstract

We present and study a model for the nonequilibrium statistical mechanics of protein distributions in a proliferating cell population. Our model describes how the total protein variation is shaped by two processes: variation in protein production internal to the cells and variation in division and inheritance at the population level. It enables us to assess the contribution of each of these components separately. We find that, even if production is deterministic, cell division can generate a large variation in protein distribution. In this limit we solve exactly a special case and draw an analogy between protein distribution along cell generations and stress distribution in layers of granular material. At the other limit of extremely noisy protein production, we find that the population structure restrains variation and that the details of division do not affect the tail of the distribution.

 

Date Posted: 31 March 2011

This document has been peer reviewed.