Abstract
In this review we discuss a method for the qualitative modeling and simulation of genetic regulatory networks which is well-adapted to the current lack of precise and quantitative biological data. The method is based on a class of piecewise-linear (PL) differential equation models with favorable mathematical properties. We review some basic results concerning the dynamics of PL systems, describe a discrete abstraction underlying the qualitative simulation method, and illustrate our approach by means of an application in the context of the nutritional stress response in the bacterium Escherichia coli.
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