Comparing discrete and piecewise affine differential equation models of gene regulatory networks

Authors:
Shahrad Jamshidi;Heike Siebert;Alexander Bockmayr
Affiliations:
DFG Research Center Matheon, Freie Universität Berlin, Berlin, Germany;DFG Research Center Matheon, Freie Universität Berlin, Berlin, Germany;DFG Research Center Matheon, Freie Universität Berlin, Berlin, Germany
Venue:
IPCAT'12 Proceedings of the 9th international conference on Information Processing in Cells and Tissues
Year:
2012

Citing 2
Cited 0

R. Thomas' Modeling of Biological Regulatory Networks: Introduction of Singular States in the Qualitative Dynamics

Fundamenta Informaticae
Brief paper: Symbolic reachability analysis of genetic regulatory networks using discrete abstractions

Automatica (Journal of IFAC)

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Abstract

We compare the discrete asynchronous logical modeling formalism for gene regulatory networks due to R. Thomas with piecewise-affine differential equation models. We show that although the two approaches are based on equivalent information, the resulting qualitative dynamics are different.