General solution of the chemical master equation and modality of marginal distributions for hierarchic first-order reaction networks

Author:

Reis Matthias,Kromer Justus A.,Klipp EddaORCID

Funder

Leibniz-Gemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modelling and Simulation

Reference39 articles.

1. Anderson DF, Craciun G, Kurtz TG (2010) Product-form stationary distributions for deficiency zero chemical reaction networks. Bull Math Biol 72(8):1947–1970

2. Andreychenko A, Bortolussi L, Grima R, Thomas P, Wolf V(2017) Distribution approximations for the chemical master equation: comparison of the method of moments and the system size expansion. In: Modeling cellular systems. Springer, Cham, pp 39–66

3. Bateman H (1910) The solution of a system of differential equations occurring in the theory of radioactive transformations. Math Proc Camb Philos Soc 15(V):423–427

4. Boas ML (2006) Mathematical methods in the physical sciences. Wiley, Hoboken

5. Brannan JR (2010) Differential equations with boundary value problems: an introduction to modern methods and applications. Wiley, New York

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