presentation abstract bibitem

slides revised paper
Jérôme Feret, Thomas Henzinger, Heinz Koeppl,& Tatjana Petrov.
Lumpability Abstractions of Rule-based Systems.

In The 4th Workshop on Membrane Computing and Biologically Inspired Process Calculi (MeCBIC 2010), Jena, Germany, August 23 2010, Electronic Proceedings in Theoretical Computer Science, volume 40, G. Ciobanu & M. Koutny (Ed.), pp. 142--161
© Electronic Proceedings in Theoretical Computer Science.

Abstract: The induction of a signaling pathway is characterized by transient complex formation and mutual posttranslational modification of proteins. To faithfully capture this combinatorial process in a mathematical model is an important challenge in systems biology. Exploiting the limited context on which most binding and modification events are conditioned, attempts have been made to reduce the combinatorial complexity by quotienting the reachable set of molecular species, into species aggregates while preserving the deterministic semantics of the thermodynamic limit. Recently we proposed a quotienting that also preserves the stochastic semantics and that is complete in the sense that the semantics of individual species can be recovered from the aggregate semantics.
In this paper we prove that this quotienting yields a sufficient condition for \emph{weak lumpability} and that it gives rise to a backward Markov bisimulation between the original and aggregated transition system. We illustrate the framework on a case study of the EGF/insulin receptor crosstalk.

@inProceedings{MeCBIC2010,
author =    {J\'er\^ome Feret and Thomas Henzinger and  Heinz Koeppl and Tatjana Petrov},
title =     {Lumpability Abstractions of Rule-based Systems},
editor =    {G.~Ciobanu, M.~Koutny},
booktitle = {Postproceedings of the 4th Workshop on Membrane Computing and Biologically Inspired Process Calculi, MeCBIC$\,$10},