TY - GEN A1 - Gauckler, Ludwig A1 - Yserentant, Harry T1 - Regularity and approximability of the solutions to the chemical master equation N2 - The chemical master equation is a fundamental equation in chemical kinetics. It is an adequate substitute for the classical reaction-rate equations whenever stochastic effects become relevant. In the present paper we give a simple argument showing that the solutions of a large class of chemical master equations, including all those in which elementary reactions between two and more molecules do not generate a larger number of molecules than existed before, are bounded in weighted $\ell_1$-spaces. As an illustration for the implications of this kind of regularity we analyze the effect of truncating the state space. This leads to an error analysis of the finite state projection of the chemical master equation, an approximation that underlies many numerical methods. KW - chemical master equation KW - regularity KW - finite state projections Y1 - 2013 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1214 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-12146 ER -