--- res: bibo_abstract: - Within systems biology there is an increasing interest in the stochastic behavior of biochemical reaction networks. An appropriate stochastic description is provided by the chemical master equation, which represents a continuous-time Markov chain (CTMC). The uniformization technique is an efficient method to compute probability distributions of a CTMC if the number of states is manageable. However, the size of a CTMC that represents a biochemical reaction network is usually far beyond what is feasible. In this paper we present an on-the-fly variant of uniformization, where we improve the original algorithm at the cost of a small approximation error. By means of several examples, we show that our approach is particularly well-suited for biochemical reaction networks.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Frédéric foaf_name: Didier, Frédéric foaf_surname: Didier - foaf_Person: foaf_givenName: Thomas A foaf_name: Henzinger, Thomas A foaf_surname: Henzinger foaf_workInfoHomepage: http://www.librecat.org/personId=40876CD8-F248-11E8-B48F-1D18A9856A87 orcid: 0000−0002−2985−7724 - foaf_Person: foaf_givenName: Maria foaf_name: Mateescu, Maria foaf_surname: Mateescu - foaf_Person: foaf_givenName: Verena foaf_name: Wolf, Verena foaf_surname: Wolf bibo_doi: 10.1049/iet-syb.2010.0005 bibo_issue: '6' bibo_volume: 4 dct_date: 2010^xs_gYear dct_language: eng dct_publisher: Institution of Engineering and Technology@ dct_title: Fast adaptive uniformization of the chemical master equation@ ...