Scheduled System Maintenance:
On Monday, April 27th, IEEE Xplore will undergo scheduled maintenance from 1:00 PM - 3:00 PM ET (17:00 - 19:00 UTC). No interruption in service is anticipated.
By Topic

Stochastic reachability analysis in complex biological networks

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

5 Author(s)
El-Samad, H. ; Dept. of Biochemistry/Biophysics, California Univ., San Francisco, CA ; Fazel, M. ; Liu, X. ; Papachristodoulou, A.
more authors

The impact of noise on cellular networks and its interplay with their rich dynamics are increasingly being characterized as important phenomena that must be thoroughly investigated for a useful understanding of biological dynamics. At the same time, the mathematical modeling and analysis of these networks in a stochastic setting presents a number of challenges, such as the need for a large number of computationally expensive stochastic simulations to collect statistics about the occurrence of important events or correlate their occurrence with the noise intensity. In this paper, we demonstrate the use of new techniques of stochastic reachability analysis to address these problems. Specifically, we study the problem of computing bounds on the probability of a biological stochastic process to reach certain parts of the state space in a finite time. The techniques presented are based on the algorithmic construction of barrier certificates using convex optimization, and are illustrated through the use of a biologically important system: the bacteriophage lambda genetic switch

Published in:

American Control Conference, 2006

Date of Conference:

14-16 June 2006