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Full-Text Articles in Physical Sciences and Mathematics
Vanishing Configurations In Network Dynamics With Asynchronous Updates, Ian H. Dinwoodie
Vanishing Configurations In Network Dynamics With Asynchronous Updates, Ian H. Dinwoodie
Mathematics and Statistics Faculty Publications and Presentations
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