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Solution Formula for the General Birth-death Chemical Diffusion Master Equation by Lanconelli, Alberto; Perçin, Berk Tan; del Razo, Mauricio J. is a scholarly article available to read on EtoBox.

What is Solution Formula for the General Birth-death Chemical Diffusion Master Equation about?

We propose a solution formula for chemical diffusion master equations of birth and death type. These equations, proposed and formalized in the recent paper [5], aim at incorporating the spatial diffusion of molecules into the description provided by the classical chemical master equation. We start from the general approach developed in [20] and perform a more detailed analysis of the representation found there. This leads to a solution formula for birth-death chemical diffusion master equations which is expressed in terms of the solution to the reaction-diffusion partial differential equation associated with the system under investigation. Such representation also reveals a striking analogy with the solution to the classical birth-death chemical master equations. The solutions of our findings are also illustrated for several examples.

Author

Lanconelli, Alberto; Perçin, Berk Tan; del Razo, Mauricio J.

Published

2023

Language

EN