Published In

Proceedings of the American Mathematical Society

Document Type

Article

Publication Date

5-22-2014

Subjects

Biological networks, Commutative algebra, Stochastic approximation, Dynamical systems

Abstract

We consider Boolean dynamics for biological networks where stochasticity is introduced through asynchronous updates. An exact method is given for finding states which can reach a steady state with positive probability, and a method is given for finding states which cannot reach other steady states. These methods are based on computational commutative algebra. The algorithms are applied to dynamics of a cell survival network to determine node assignments that exclude termination in a cancerous state

Description

Copyright 2014 by the American Mathematical Society. First published in Proceedings of the American Mathematical Society Volume 142, Number 9, September 2014.

Reproduced here with author and publisher permissions.

Persistent Identifier

http://archives.pdx.edu/ds/psu/14568

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