Distributed delay model of the McKeithan’s network

Abstract

Abstract In this paper CRNs containing linear reaction chains with multiple joint complexes were considered in order to obtain an equivalent reduced order delayed CRN model with distributed time delays. For this purpose, our earlier method (Liptak and Hangos (2018)) for decomposing the chains of linear reactions with multiple joint complexes was used together with the linear chain trick . An analytical expression for the kernel function of the distributed delay was also derived from the reaction rate coefficients of the linear reaction chains. Our approach was demonstrated using the example of the well known McKeithan’s network model of kinetic proofreading.