Approximation of event probabilities in noisy cellular processes

F. Didier, T.A. Henzinger, M. Mateescu, V. Wolf, Theoretical Computer Science 412 (2011) 2128–2141.

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Journal Article | Published | English
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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.
Publishing Year
Date Published
2011-05-06
Journal Title
Theoretical Computer Science
Volume
412
Issue
21
Page
2128 - 2141
IST-REx-ID

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Didier F, Henzinger TA, Mateescu M, Wolf V. Approximation of event probabilities in noisy cellular processes. Theoretical Computer Science. 2011;412(21):2128-2141. doi:10.1016/j.tcs.2010.10.022
Didier, F., Henzinger, T. A., Mateescu, M., & Wolf, V. (2011). Approximation of event probabilities in noisy cellular processes. Theoretical Computer Science, 412(21), 2128–2141. https://doi.org/10.1016/j.tcs.2010.10.022
Didier, Frédéric, Thomas A Henzinger, Maria Mateescu, and Verena Wolf. “Approximation of Event Probabilities in Noisy Cellular Processes.” Theoretical Computer Science 412, no. 21 (2011): 2128–41. https://doi.org/10.1016/j.tcs.2010.10.022.
F. Didier, T. A. Henzinger, M. Mateescu, and V. Wolf, “Approximation of event probabilities in noisy cellular processes,” Theoretical Computer Science, vol. 412, no. 21, pp. 2128–2141, 2011.
Didier F, Henzinger TA, Mateescu M, Wolf V. 2011. Approximation of event probabilities in noisy cellular processes. Theoretical Computer Science. 412(21), 2128–2141.
Didier, Frédéric, et al. “Approximation of Event Probabilities in Noisy Cellular Processes.” Theoretical Computer Science, vol. 412, no. 21, Elsevier, 2011, pp. 2128–41, doi:10.1016/j.tcs.2010.10.022.
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