Stochastic gene expression as a many-body problem.

Abstract:

:Gene expression has a stochastic component because of the single-molecule nature of the gene and the small number of copies of individual DNA-binding proteins in the cell. We show how the statistics of such systems can be mapped onto quantum many-body problems. The dynamics of a single gene switch resembles the spin-boson model of a two-site polaron or an electron transfer reaction. Networks of switches can be approximately described as quantum spin systems by using an appropriate variational principle. In this way, the concept of frustration for magnetic systems can be taken over into gene networks. The landscape of stable attractors depends on the degree and style of frustration, much as for neural networks. We show the number of attractors, which may represent cell types, is much smaller for appropriately designed weakly frustrated stochastic networks than for randomly connected networks.

authors

Sasai M,Wolynes PG

doi

10.1073/pnas.2627987100

keywords:

subject

Has Abstract

pub_date

2003-03-04 00:00:00

pages

2374-9

issue

5

eissn

0027-8424

issn

1091-6490

pii

2627987100

journal_volume

100

pub_type

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