Tissue Systems and Petri Net Synthesis

Tissue systems are a computational abstraction of the chemical reactions and transport of molecules in a tissue. We consider the problem of synthesising tissue systems from specifications of observed or desired behaviour given in the form of transition systems. We demonstrate how a Petri net solution to this problem, based on the notion of regions, yields a method for automated synthesis of tissue systems from transition systems. We first assume that the input of the algorithm contains information about the topology of the system to be constructed, and then discuss the case when such a topology is not known in advance and has yet to be determined.