Extended Differential Aggregations in Process Algebra for Performance and Biology

Max Tschaikowski
(University of Southampton)
Mirco Tribastone
(University of Southampton)

We study aggregations for ordinary differential equations induced by fluid semantics for Markovian process algebra which can capture the dynamics of performance models and chemical reaction networks. Whilst previous work has required perfect symmetry for exact aggregation, we present approximate fluid lumpability, which makes nearby processes perfectly symmetric after a perturbation of their parameters. We prove that small perturbations yield nearby differential trajectories. Numerically, we show that many heterogeneous processes can be aggregated with negligible errors.

In Nathalie Bertrand and Luca Bortolussi: Proceedings Twelfth International Workshop on Quantitative Aspects of Programming Languages and Systems (QAPL 2014), Grenoble, France, 12-13 April 2014, Electronic Proceedings in Theoretical Computer Science 154, pp. 34–47.
Published: 6th June 2014.

ArXived at: http://dx.doi.org/10.4204/EPTCS.154.3 bibtex PDF
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