Model-checking continuous-time Markov chains
ACM Transactions on Computational Logic (TOCL)
Termination of Probabilistic Concurrent Program
ACM Transactions on Programming Languages and Systems (TOPLAS)
Model-Checking Algorithms for Continuous-Time Markov Chains
IEEE Transactions on Software Engineering
Simulation and verification for computational modelling of signalling pathways
Proceedings of the 38th conference on Winter simulation
Probabilistic model checking of complex biological pathways
Theoretical Computer Science
Using probabilistic model checking in systems biology
ACM SIGMETRICS Performance Evaluation Review
Toward Verified Biological Models
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Modelling the Tunability of Early T Cell Signalling Events
ICARIS '08 Proceedings of the 7th international conference on Artificial Immune Systems
Approximate Parameter Synthesis for Probabilistic Time-Bounded Reachability
RTSS '08 Proceedings of the 2008 Real-Time Systems Symposium
Probabilistic Reachability for Parametric Markov Models
Proceedings of the 16th International SPIN Workshop on Model Checking Software
A Bayesian Approach to Model Checking Biological Systems
CMSB '09 Proceedings of the 7th International Conference on Computational Methods in Systems Biology
In Silico Modelling and Analysis of Ribosome Kinetics and aa-tRNA Competition
Transactions on Computational Systems Biology XI
What Can Formal Methods Bring to Systems Biology?
FM '09 Proceedings of the 2nd World Congress on Formal Methods
SFM'07 Proceedings of the 7th international conference on Formal methods for performance evaluation
Parameter identification for Markov models of biochemical reactions
CAV'11 Proceedings of the 23rd international conference on Computer aided verification
Analysis of signalling pathways using continuous time markov chains
Transactions on Computational Systems Biology VI
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In this paper, we apply the probabilistic symbolic model checker PRISM to the analysis of a biological system --- the Platelet-Derived Growth Factor (PDGF) signaling pathway, demonstrating in detail how this pathway can be analyzed in PRISM. Moreover, we compare the results from verification and ODE simulation on the PDGF pathway and demonstrate by examples the influence of model structure, parameter values and pathway length on the two analysis methods.