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Approximation of Event Probabilities in Noisy Cellular Processes

Didier, Frederic
•
Henzinger, Thomas A.  
•
Mateescu, Maria  
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2009

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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Type
report
Author(s)
Didier, Frederic
Henzinger, Thomas A.  
Mateescu, Maria  
Wolf, Verena
Date Issued

2009

Subjects

chemical master equation

•

Gillespie simulation

•

numerical analysis

Written at

EPFL

EPFL units
MTC  
Available on Infoscience
April 6, 2009
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/36888
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