{"oa_version":"Submitted Version","publist_id":"2356","author":[{"full_name":"Henzinger, Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","orcid":"0000−0002−2985−7724","first_name":"Thomas A","last_name":"Henzinger"},{"last_name":"Mateescu","first_name":"Maria","full_name":"Mateescu, Maria"},{"full_name":"Mikeev, Linar","first_name":"Linar","last_name":"Mikeev"},{"full_name":"Wolf, Verena","first_name":"Verena","last_name":"Wolf"}],"publisher":"Springer","date_created":"2018-12-11T12:05:27Z","doi":"10.1145/1839764.1839772","month":"09","pubrep_id":"68","scopus_import":1,"abstract":[{"text":"We present a numerical approximation technique for the analysis of continuous-time Markov chains that describe net- works of biochemical reactions and play an important role in the stochastic modeling of biological systems. Our approach is based on the construction of a stochastic hybrid model in which certain discrete random variables of the original Markov chain are approximated by continuous deterministic variables. We compute the solution of the stochastic hybrid model using a numerical algorithm that discretizes time and in each step performs a mutual update of the transient prob- ability distribution of the discrete stochastic variables and the values of the continuous deterministic variables. We im- plemented the algorithm and we demonstrate its usefulness and efficiency on several case studies from systems biology.","lang":"eng"}],"page":"55 - 65","day":"29","department":[{"_id":"ToHe"}],"file_date_updated":"2020-07-14T12:46:16Z","status":"public","type":"conference","year":"2010","citation":{"apa":"Henzinger, T. A., Mateescu, M., Mikeev, L., &#38; Wolf, V. (2010). Hybrid numerical solution of the chemical master equation (pp. 55–65). Presented at the CMSB: Computational Methods in Systems Biology, Trento, Italy: Springer. <a href=\"https://doi.org/10.1145/1839764.1839772\">https://doi.org/10.1145/1839764.1839772</a>","ieee":"T. A. Henzinger, M. Mateescu, L. Mikeev, and V. Wolf, “Hybrid numerical solution of the chemical master equation,” presented at the CMSB: Computational Methods in Systems Biology, Trento, Italy, 2010, pp. 55–65.","ista":"Henzinger TA, Mateescu M, Mikeev L, Wolf V. 2010. Hybrid numerical solution of the chemical master equation. CMSB: Computational Methods in Systems Biology, 55–65.","mla":"Henzinger, Thomas A., et al. <i>Hybrid Numerical Solution of the Chemical Master Equation</i>. Springer, 2010, pp. 55–65, doi:<a href=\"https://doi.org/10.1145/1839764.1839772\">10.1145/1839764.1839772</a>.","short":"T.A. Henzinger, M. Mateescu, L. Mikeev, V. Wolf, in:, Springer, 2010, pp. 55–65.","chicago":"Henzinger, Thomas A, Maria Mateescu, Linar Mikeev, and Verena Wolf. “Hybrid Numerical Solution of the Chemical Master Equation,” 55–65. Springer, 2010. <a href=\"https://doi.org/10.1145/1839764.1839772\">https://doi.org/10.1145/1839764.1839772</a>.","ama":"Henzinger TA, Mateescu M, Mikeev L, Wolf V. Hybrid numerical solution of the chemical master equation. In: Springer; 2010:55-65. doi:<a href=\"https://doi.org/10.1145/1839764.1839772\">10.1145/1839764.1839772</a>"},"publication_status":"published","conference":{"location":"Trento, Italy","name":"CMSB: Computational Methods in Systems Biology","end_date":"2010-10-01","start_date":"2010-09-29"},"date_updated":"2021-01-12T07:52:33Z","has_accepted_license":"1","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","file":[{"relation":"main_file","date_updated":"2020-07-14T12:46:16Z","date_created":"2018-12-12T10:15:55Z","creator":"system","file_name":"IST-2012-68-v1+1_Hybrid_Numerical_Solution_of_the_Chemical_Master_Equation.pdf","access_level":"open_access","file_size":671790,"content_type":"application/pdf","checksum":"81cb6f0babd97151b171d1ce86582831","file_id":"5179"}],"date_published":"2010-09-29T00:00:00Z","title":"Hybrid numerical solution of the chemical master equation","oa":1,"ddc":["004"],"_id":"3838","quality_controlled":"1","language":[{"iso":"eng"}]}