[{"ddc":[],"status":"public","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","_id":"3838","file":[{"checksum":"81cb6f0babd97151b171d1ce86582831","date_created":"2018-12-12T10:15:55Z","date_updated":"2020-07-14T12:46:16Z","file_id":"5179","relation":"main_file","creator":"system","content_type":"application/pdf","file_size":671790,"access_level":"open_access","file_name":"IST-2012-68-v1+1_Hybrid_Numerical_Solution_of_the_Chemical_Master_Equation.pdf"}],"oa_version":"Submitted Version","pubrep_id":"68","type":"conference","abstract":[{"lang":"eng"}],"page":"55 - 65","citation":{"chicago":"Henzinger, Thomas A, Maria Mateescu, Linar Mikeev, and Verena Wolf. “Hybrid Numerical Solution of the Chemical Master Equation,” 55–65. Springer, 2010. https://doi.org/10.1145/1839764.1839772.","short":"T.A. Henzinger, M. Mateescu, L. Mikeev, V. Wolf, in:, Springer, 2010, pp. 55–65.","mla":"Henzinger, Thomas A., et al. Hybrid Numerical Solution of the Chemical Master Equation. Springer, 2010, pp. 55–65, doi:10.1145/1839764.1839772.","apa":"Henzinger, T. A., Mateescu, M., Mikeev, L., & 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. https://doi.org/10.1145/1839764.1839772","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."},"date_published":"2010-09-29T00:00:00Z","scopus_import":1,"dc":{"date":["2010"],"language":["eng"],"source":["Henzinger TA, Mateescu M, Mikeev L, Wolf V. Hybrid numerical solution of the chemical master equation. In: Springer; 2010:55-65. doi:10.1145/1839764.1839772"],"rights":["info:eu-repo/semantics/openAccess"],"title":["Hybrid numerical solution of the chemical master equation"],"publisher":["Springer"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1145/1839764.1839772"],"subject":["ddc:004"],"creator":["Henzinger, Thomas A","Mateescu, Maria","Mikeev, Linar","Wolf, Verena"],"type":["info:eu-repo/semantics/conferenceObject","doc-type:conferenceObject","text","http://purl.org/coar/resource_type/c_5794"],"identifier":["https://research-explorer.ista.ac.at/record/3838","https://research-explorer.ista.ac.at/download/3838/5179"],"description":["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."]},"day":"29","uri_base":"https://research-explorer.ista.ac.at","has_accepted_license":"1","publication_status":"published","department":[{"_id":"ToHe","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"dini_type":"doc-type:conferenceObject","date_updated":"2021-01-12T07:52:33Z","date_created":"2018-12-11T12:05:27Z","author":[{"last_name":"Henzinger","first_name":"Thomas A","orcid":"0000−0002−2985−7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Maria","last_name":"Mateescu"},{"last_name":"Mikeev","first_name":"Linar"},{"first_name":"Verena","last_name":"Wolf"}],"creator":{"login":"apreinsp","id":"4435EBFC-F248-11E8-B48F-1D18A9856A87"},"file_date_updated":"2020-07-14T12:46:16Z","publist_id":"2356","quality_controlled":"1","oa":1,"language":[{}],"conference":{"name":"CMSB: Computational Methods in Systems Biology","end_date":"2010-10-01","start_date":"2010-09-29","location":"Trento, Italy"},"month":"09"}]