Automatic verification of finite-state concurrent systems using temporal logic specifications
ACM Transactions on Programming Languages and Systems (TOPLAS)
Model checking
Probabilistic Symbolic Model Checking with PRISM: A Hybrid Approach
TACAS '02 Proceedings of the 8th International Conference on Tools and Algorithms for the Construction and Analysis of Systems
Model-Checking Algorithms for Continuous-Time Markov Chains
IEEE Transactions on Software Engineering
COPASI---a COmplex PAthway SImulator
Bioinformatics
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)
Bioinformatics
Modelling and simulation of biological processes in BlenX
ACM SIGMETRICS Performance Evaluation Review
A unifying framework for modelling and analysing biochemical pathways using Petri nets
CMSB'07 Proceedings of the 2007 international conference on Computational methods in systems biology
Modelling cellular processes using membrane systems with peripheral and integral proteins
CMSB'06 Proceedings of the 2006 international conference on Computational Methods in Systems Biology
A Model and Analysis of the AKAP Scaffold
Electronic Notes in Theoretical Computer Science (ENTCS)
Automata-based CSL model checking
ICALP'11 Proceedings of the 38th international conference on Automata, languages and programming - Volume Part II
Taking it to the limit: approximate reasoning for markov processes
MFCS'12 Proceedings of the 37th international conference on Mathematical Foundations of Computer Science
An analysis for proving probabilistic termination of biological systems
Theoretical Computer Science
Trend-Based analysis of a population model of the AKAP scaffold protein
Transactions on Computational Systems Biology XIV
Characterizing oscillatory and noisy periodic behavior in markov population models
QEST'13 Proceedings of the 10th international conference on Quantitative Evaluation of Systems
On-the-fly verification and optimization of DTA-properties for large Markov chains
Formal Methods in System Design
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Automated verification of stochastic models has been proved to be an effective technique for the analysis of a large class of stochastically behaving systems. In this paper we show how stochastic model-checking can be effectively applied to the analysis of biological systems. We consider a few models of biological systems taken from the literature, and we consider both their encodings as ordinary differential equations and Markovian models. We show that stochastic model-checking verification of biological systems can complement both deterministic and stochastic simulation techniques when dealing with dynamical properties of oscillators. We demonstrate how stochastic model-checking can provide exact quantitative characterization of properties of systems exhibiting oscillatory behavior, providing insights that cannot be obtained with differential equations models and that would require a large number of runs with stochastic simulation approaches.