A Stochastic Pi-calculus Model for the Intrinsic Apoptopic Pathway

A Stochastic Broadcast Pi-Calculus

In this paper we propose a stochastic broadcast π-calculus which can be used to model server-client based systems where synchronization is always governed by only one participant. Therefore, there is no need to determine the joint synchronization rates. We also take immediate transitions into account which is useful to model behaviors with no impact on the temporal properties of a system. Since...

A Stochastic Pi Calculus for Concurrent Objects

Stochastic Pi-calculus Revisited

We develop a version of stochastic Pi-calculus endowed with a structural operational semantics expressed in terms of measure theory. The paper relies on two observations: (i) the structural congruence organizes a measurable space of processes and (ii) a well behaved SOS associates to each process, in a specified rate environment, a behaviour defined by a set of measures over the measurable spac...

Model Checking Probabilistic and Stochastic Extensions of the pi-Calculus

We present an implementation of model checking for probabilistic and stochastic extensions of the π-calculus, a process algebra which supports modelling of concurrency and mobility. Formal verification techniques for such extensions have clear applications in several domains, including mobile ad-hoc network protocols, probabilistic security protocols and biological pathways. Despite this, no im...

A Correct Abstract Machine for the Stochastic Pi-calculus

Machine for Stochastic Pi-Calculus (SPiM) ➢ Formalise how the simulator works (program specification). ➢ Prove properties about the simulator (program verification). ➢ Give greater confidence in the simulation results. ➢ Improve on existing simulators (BioSpi). Andrew Phillips BioConcur 2004 19 Machine Data Structures ➢ General Machine Term: νn1 νn2 ...νnN (Σ1 ::Σ2 :: ... ::ΣM :: []) ➢ Syntax D...