Mateescu, M.Wolf, V.Didier, F.Henzinger, T. A.2011-12-162011-12-162011-12-16201010.1049/iet-syb.2010.0005https://infoscience.epfl.ch/handle/20.500.14299/75005WOS:000284108800011Within systems biology there is an increasing interest in the stochastic behaviour of biochemical reaction networks. An appropriate stochastic description is provided by the chemical master equation, which represents a continuous-time Markov chain (CTMC). The uniformisation 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 study, the authors present an on-the-fly variant of uniformisation, where they improve the original algorithm at the cost of a small approximation error. By means of several examples, the authors show that their approach is particularly well-suited for biochemical reaction networks.Gene-ExpressionMarkov-ChainsNoiseProbabilitiesSimulationRhythmsCellFast adaptive uniformisation of the chemical master equationtext::conference output::conference proceedings::conference paper