NDLI: Decision procedure based discovery of rare behaviors in Stochastic Differential Equation models of biological systems

Content Provider	IEEE Xplore Digital Library
Author	Ghosh, A.K. Hussain, F. Jha, S.K. Langmead, C.J. Jha, S.
Copyright Year	2012
Description	Author affiliation: EECS Department, University of Central Florida, Orlando, USA (Ghosh, A.K.; Hussain, F.; Jha, S.K.) \|\| Computer Science Department, Carnegie Mellon University, Pittsburgh, PA, USA (Langmead, C.J.) \|\| EECS Department, UC Berkeley, CA 94709, USA (Jha, S.)
Abstract	Stochastic Differential Equation (SDE) models are often used to model the dynamics of complex biological systems. The stochastic nature of these models means that some behaviors are more likely than others. It is often the case that a model's primary purpose is to study rare but interesting or important behaviors, such as the formation of a tumor, or the failure of a cyber-physical system. Unfortunately, due to the limited availability of analytic methods for SDEs, stochastic simulations are the most common means for estimating (or bounding) the probability of rare behaviors. Naturally, the cost of stochastic simulations increases with the rarity of the behavior under consideration. To address this problem, we introduce a new algorithm, RESERCHE, that is specifically designed to quantify the likelihood of rare but interesting behaviors in SDE models. Our approach relies on the use of temporal logics for specifying rare behaviors of possible interest, and on the ability of bit-vector decision procedures to reason exhaustively about fixed precision arithmetic. We also compute the probability of an observed behavior under the assumption of Gaussian noise.
Starting Page	1
Ending Page	6
File Size	412766
Page Count	6
File Format	PDF
ISBN	9781467313209
e-ISBN	9781467313216
e-ISBN	9781467313193
DOI	10.1109/ICCABS.2012.6182635
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-02-23
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Brownian motion Analytical models Biological system modeling Computational modeling Stochastic processes Differential equations Mathematical model
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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