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Safety Analysis of Sugar Cataract Development Using Stochastic Hybrid Systems (2007)
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| Venue: | HYBRID SYSTEMS: COMPUTATION AND CONTROL 2007 LNCS 4416 |
| Citations: | 6 - 5 self |
BibTeX
@INPROCEEDINGS{Riley07safetyanalysis,
author = {Derek Riley and Xenofon Koutsoukos and Kasandra Riley},
title = {Safety Analysis of Sugar Cataract Development Using Stochastic Hybrid Systems},
booktitle = {HYBRID SYSTEMS: COMPUTATION AND CONTROL 2007 LNCS 4416},
year = {2007},
pages = {758--761},
publisher = {Springer-Verlag}
}
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Abstract
Modeling and analysis of biochemical systems are critical problems because they can provide new insights into systems which can not be easily tested with real experiments. One such biochemical process is the formation of sugar cataracts in the lens of an eye. Analyzing the sugar cataract development process is a challenging problem due to the highly-coupled chemical reactions that are involved. In this paper we model sugar cataract development as a stochastic hybrid system. Based on this model, we present a probabilistic verification method for computing the probability of sugar cataract formation for different chemical concentrations. Our analysis can potentially provide useful insights into the complicated dynamics of the process and assist in focusing experiments on specific regions of concentrations. The verification method employs dynamic programming based on a discretization of the state space and therefore suffers from the curse of dimensionality. To verify the sugar cataract development process we have developed a parallel dynamic programming implementation that can handle large systems. Although scalability is a limiting factor, this work demonstrates that the technique is feasible for realistic biochemical systems.
Keyphrases
safety analysis sugar cataract development process challenging problem critical problem biochemical system therefore suffers highly-coupled chemical reaction large system verification method complicated dynamic sugar cataract development realistic biochemical system new insight state space probabilistic verification method real experiment specific region sugar cataract useful insight biochemical process different chemical concentration limiting factor sugar cataract formation stochastic hybrid system
