--- _id: '4535' abstract: - lang: eng text: |- Molecular noise, which arises from the randomness of the discrete events in the cell, significantly influences fundamental biological processes. Discrete -state continuous-time stochastic models (CTMC) can be used to describe such effects, but the calculation of the probabilities of certain events is computationally expensive. We present a comparison of two analysis approaches for CTMC. On one hand, we estimate the probabilities of interest using repeated Gillespie simulation and determine the statistical accuracy that we obtain. On the other hand, we apply a numerical reachability analysis that approximates the probability distributions of the system at several time instances. We use examples of cellular processes to demonstrate the superiority of the reachability analysis if accurate results are required. acknowledgement: This research was supported in part by the Swiss National Science Foundation under grant 205321-111840 and by the Excellence Cluster on Multimodal Computing and Interaction. alternative_title: - LNCS author: - first_name: Frédéric full_name: Didier, Frédéric last_name: Didier - first_name: Thomas A full_name: Thomas Henzinger id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000−0002−2985−7724 - first_name: Maria full_name: Maria Mateescu id: 3B43276C-F248-11E8-B48F-1D18A9856A87 last_name: Mateescu - first_name: Verena full_name: Wolf, Verena last_name: Wolf citation: ama: 'Didier F, Henzinger TA, Mateescu M, Wolf V. Approximation of event probabilities in noisy cellular processes. In: Vol 5688. Springer; 2009:173-188. doi:10.1007/978-3-642-03845-7_12' apa: 'Didier, F., Henzinger, T. A., Mateescu, M., & Wolf, V. (2009). Approximation of event probabilities in noisy cellular processes (Vol. 5688, pp. 173–188). Presented at the CMSB: Computational Methods in Systems Biology, Springer. https://doi.org/10.1007/978-3-642-03845-7_12' chicago: Didier, Frédéric, Thomas A Henzinger, Maria Mateescu, and Verena Wolf. “Approximation of Event Probabilities in Noisy Cellular Processes,” 5688:173–88. Springer, 2009. https://doi.org/10.1007/978-3-642-03845-7_12. ieee: 'F. Didier, T. A. Henzinger, M. Mateescu, and V. Wolf, “Approximation of event probabilities in noisy cellular processes,” presented at the CMSB: Computational Methods in Systems Biology, 2009, vol. 5688, pp. 173–188.' ista: 'Didier F, Henzinger TA, Mateescu M, Wolf V. 2009. Approximation of event probabilities in noisy cellular processes. CMSB: Computational Methods in Systems Biology, LNCS, vol. 5688, 173–188.' mla: Didier, Frédéric, et al. Approximation of Event Probabilities in Noisy Cellular Processes. Vol. 5688, Springer, 2009, pp. 173–88, doi:10.1007/978-3-642-03845-7_12. short: F. Didier, T.A. Henzinger, M. Mateescu, V. Wolf, in:, Springer, 2009, pp. 173–188. conference: name: 'CMSB: Computational Methods in Systems Biology' date_created: 2018-12-11T12:09:21Z date_published: 2009-08-17T00:00:00Z date_updated: 2023-02-23T11:24:03Z day: '17' doi: 10.1007/978-3-642-03845-7_12 extern: 1 intvolume: ' 5688' month: '08' page: 173 - 188 publication_status: published publisher: Springer publist_id: '189' quality_controlled: 0 related_material: record: - id: '3364' relation: later_version status: public status: public title: Approximation of event probabilities in noisy cellular processes type: conference volume: 5688 year: '2009' ...