From differential equations to Boolean networks: A Case Study in modeling regulatory networks

Details From differential equations to Boolean networks: A Case Study in modeling regulatory networks From differential equations to Boolean networks: A Case Study in modeling regulatory networks

2008-07-07

arxiv.org/abs/0807.1013v2

Biology

Quantitative Biology

Molecular Networks

17 pages, 3 Tables, 3 Figs. Submitted to Journal of Theoretical Biology

Scientific paper

Methods of modeling cellular regulatory networks as diverse as differential equations and Boolean networks co-exist, however, without any closer correspondence to each other. With the example system of the fission yeast cell cycle control network, we here set the two approaches in relation to each other. We find that the Boolean network can be formulated as a specific coarse-grained limit of the more detailed differential network model for this system. This lays the mathematical foundation on which Boolean networks can be applied to biological regulatory networks in a controlled way.

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