Modelling of Rapid and Slow Transmission Using the Theory of Reaction Kinetic Networks

The modelling and analysis of signalling pathways in living organisms is one of the most challenging problems in systems biology that can be handled using the theory of chemical reaction networks (CRNs) obeying the mass-action law. In addition to being used to describe pure chemical reactions, such networks are also widely used to model the dynamics of intracellular processes, metabolic or cell signalling pathways. This model class enables the use of the deficiencybased, multi-stability-related results of Martin Feinberg et al., which provide very strong theorems about qualitative behaviour of the modelled system, based only on the structure of the reaction network, independently of its parameters.