To incorporate instant effects and different timescales within a single biological system, an extension of discrete regulatory networks with short-term stimuli is proposed. By maintaining a vector of recent changes, activities initiated by a steep increase or decrease can be captured in a qualitative setting. In order to compensate for the blow-up due to enhanced states, we focus on observable behavior. Identification of bisimilar states yields a compact system representation truthfully expressing the information relevant for deciding logical properties. The approach is implemented by means of a front-end to the mCRL2 tool set and illustrated for the switching of bacteriophage lambda and a bio-medical case study related to TGF driven fibrotic conditions. Keywords Discrete regulatory networks, bisimulation, model checking.
Christian Krause, Carola Krause, Erik P. de Vink