Akin to electric circuits, we construct biocircuits that are manipulated bycutting and assembling channels through which stochastic information flows.This diagrammatic manipulation allows us to create a method which constructsnetworks by joining building blocks selected so that (a) they cover only basicprocesses; (b) it is scalable to large networks; (c) the mean andvariance-covariance from the Pauli master equation form a closed system and;(d) given the initial probability distribution, no special boundary conditionsare necessary to solve the master equation. The method aims to help with bothdesigning new synthetic signalling pathways and quantifying naturally existingregulatory networks.
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