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Approximation of event probabilities in noisy cellular processes
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.
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Abstract
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.
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2009-08-17
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.
Volume
5688
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173 - 188
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CMSB: Computational Methods in Systems Biology
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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
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
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.
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.
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.
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.
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