---
_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'
...