A petri net application to model metabolic processes
Systems Analysis Modelling Simulation
Introducation to stochastic Petri nets
Lectures on formal methods and performance analysis
Primer in Petri Net Design
Petri Net Representations in Metabolic Pathways
Proceedings of the 1st International Conference on Intelligent Systems for Molecular Biology
On the integration of delay and throughput measures in distributed processing models
On the integration of delay and throughput measures in distributed processing models
The GreatSPN tool: recent enhancements
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
A numerical aggregation algorithm for the enzyme-catalyzed substrate conversion
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
A comparative study of stochastic analysis techniques
Proceedings of the 8th International Conference on Computational Methods in Systems Biology
Simplification of a complex signal transduction model using invariants and flow equivalent servers
Theoretical Computer Science
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In this paper we consider the modeling of a selected portion of signal transduction events involved in the angiogenesis process. The detailed model of this process contains a large number of parameters and the data available from wet-lab experiments are not sufficient to obtain reliable estimates for all of them. To overcome this problem, we suggest ways to simplify the detailed representation that result in models with a smaller number of parameters still capturing the overall behaviour of the detailed one. Starting from a detailed stochastic Petri net (SPN) model that accounts for all the reactions of the signal transduction cascade, using structural properties combined with the knowledge of the biological phenomena, we propose a set of model reductions.