Hybrid Semantics of Stochastic Programs with Dynamic Reconfiguration.

TitleHybrid Semantics of Stochastic Programs with Dynamic Reconfiguration.
Publication TypeConference Paper
Year of Publication2009
AuthorsBortolussi L, Policriti A
EditorBack R-J, Petre I, de Vink E
Conference NameCOMPMOD 2009
PublisherOpen Publishing Association
KeywordsComputational Systems Biology, Hybrid Approximation, Hybrid Simulation Strategies, stochastic concurrent constraint programming, stochastic hybrid systems

We begin by reviewing a technique to approximate the dynamics of stochastic programs –written in a stochastic process algebra– by a hybrid system, suitable to capture a mixed discrete/continuous evolution. In a nutshell, the discrete dynamics is kept stochastic while the continuous evolution is given in terms of ODEs, and the overall technique, therefore, naturally associates a Piecewise Deterministic Markov Process with a stochastic program. The specific contribution in this work consists in an increase of the flexibility of the translation scheme, obtained by allowing a dynamic reconfiguration of the degree of discreteness/continuity of the semantics. We also discuss the relationships of this approach with other hybrid simulation strategies for biochemical systems.