Communicating sequential processes
Communicating sequential processes
A compositional approach to performance modelling
A compositional approach to performance modelling
Theoretical Computer Science
Communicating and mobile systems: the &pgr;-calculus
Communicating and mobile systems: the &pgr;-calculus
Information Processing Letters
Communication and Concurrency
Equivalences, Congruences, and Complete Axiomatizations for Probabilistic Processes
CONCUR '90 Proceedings of the Theories of Concurrency: Unification and Extension
A Temporal Calculus of Communicating Systems
CONCUR '90 Proceedings of the Theories of Concurrency: Unification and Extension
Verifying Continuous Time Markov Chains
CAV '96 Proceedings of the 8th International Conference on Computer Aided Verification
An Overview and Synthesis on Timed Process Algebras
Proceedings of the Real-Time: Theory in Practice, REX Workshop
MPA: a Stochastic Process Algebra
MPA: a Stochastic Process Algebra
Modeling and querying biomolecular interaction networks
Theoretical Computer Science - Special issue: Computational systems biology
Theoretical Computer Science - Special issue: Computational systems biology
BioAmbients: an abstraction for biological compartments
Theoretical Computer Science - Special issue: Computational systems biology
Modeling and analysis of biological processes by mem(brane) calculi and systems
Proceedings of the 38th conference on Winter simulation
Biological Transactions for Quantitative Models
Electronic Notes in Theoretical Computer Science (ENTCS)
Probabilistic model checking of complex biological pathways
Theoretical Computer Science
Bio-PEPA: An Extension of the Process Algebra PEPA for Biochemical Networks
Electronic Notes in Theoretical Computer Science (ENTCS)
Efficient Stochastic Simulation of Biological Systems with Multiple Variable Volumes
Electronic Notes in Theoretical Computer Science (ENTCS)
Relating continuous and discrete PEPA models of signalling pathways
Theoretical Computer Science
Modelling Intracellular Fate of FGF Receptors With BioAmbients
Electronic Notes in Theoretical Computer Science (ENTCS)
Scalable simulation of cellular signaling networks
APLAS'07 Proceedings of the 5th Asian conference on Programming languages and systems
CMSB'06 Proceedings of the 2006 international conference on Computational Methods in Systems Biology
Analysis of signalling pathways using continuous time markov chains
Transactions on Computational Systems Biology VI
Beta binders for biological interactions
CMSB'04 Proceedings of the 20 international conference on Computational Methods in Systems Biology
CMSB'04 Proceedings of the 20 international conference on Computational Methods in Systems Biology
Transactions on Computational Systems Biology VII
Gene regulation in the pi calculus: simulating cooperativity at the lambda switch
Transactions on Computational Systems Biology VII
A stochastic semantics for bioambients
PaCT'07 Proceedings of the 9th international conference on Parallel Computing Technologies
Rule-based modelling of cellular signalling
CONCUR'07 Proceedings of the 18th international conference on Concurrency Theory
Integrated Analysis from Abstract Stochastic Process Algebra Models
CMSB '08 Proceedings of the 6th International Conference on Computational Methods in Systems Biology
Communications of the ACM - Security in the Browser
Modelling gene and protein regulatory networks with Answer Set Programming
International Journal of Data Mining and Bioinformatics
A semantic equivalence for Bio-PEPA based on discretisation of continuous values
Theoretical Computer Science
Equivalences for a biological process algebra
Theoretical Computer Science
A Software Interface Between the Narrative Language and Bio-PEPA
Electronic Notes in Theoretical Computer Science (ENTCS)
Continuous approximation of collective system behaviour: A tutorial
Performance Evaluation
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In this chapter we introduce process algebras, a class of formal modelling techniques developed in theoretical computer science, and discuss their use within systems biology. These formalisms have a number of attractive features which make them ideal candidates to be intermediate, formal, compositional representations of biological systems. As we will show, when modelling is carried out at a suitable level of abstraction, the constructed model can be amenable to analysis using a variety of different approaches, encompassing both individuals-based stochastic simulation and population-based ordinary differential equations. We focus particularly on Bio-PEPA, a recently defined extension of the PEPA stochastic process algebra, which has features to capture both stoichiometry and general kinetic laws. We present the definition of the language, some equivalence relations and the mappings to underlying mathematical models for analysis. We demonstrate the use of Bio-PEPA on two biological examples.