Simulation of stochastic hybrid systems with switching and reflecting boundaries

Modeling and simulation of biochemical systems are important tasks because they can provide insights into complicated systems where traditional experimentation is expensive or impossible. Stochastic hybrid systems are an ideal modeling paradigm for biochemical systems because they combine continuous...

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Bibliographic Details
Published in2008 Winter Simulation Conference pp. 804 - 812
Main Authors Riley, Derek, Koutsoukos, Xenofon, Riley, Kasandra
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2008
Subjects
Analytical models
Biochemical analysis
Biological system modeling
Differential equations
Humans
Power system modeling
Proteins
Stochastic processes
Stochastic systems
Switches
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Summary:Modeling and simulation of biochemical systems are important tasks because they can provide insights into complicated systems where traditional experimentation is expensive or impossible. Stochastic hybrid systems are an ideal modeling paradigm for biochemical systems because they combine continuous and discrete dynamics in a stochastic framework. Simulation of these systems is difficult because of the inherent error which is introduced near the boundaries. In this work we develop a method for stochastic hybrid system simulation that explicitly considers switching and reflective boundaries. We also present a case study of the water/electrolyte balance system in humans and provide simulation results to demonstrate the usefulness of the improved simulation techniques.
ISBN:9781424427079
142442707X
ISSN:0891-7736
1558-4305
DOI:10.1109/WSC.2008.4736143