As biomedical research advances there is an increasing need to model and simulate more complicated systems to better understand them. Since biochemical processes are inherently stochastic and often contain both continuous and discrete behavior, stochastic hybrid systems are an ideal modeling paradigm for capturing their dynamics. In this paper we present a framework for modeling biochemical systems and demonstrate the approach for the sugar cataract development process including two methods of modeling drug treatment. Further, we present a simulation method that uses second-order Taylor approximations for the continuous dynamics and an improved method for detecting boundary hits. We use the sugar cataract development process to demonstrate the results of the method.
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