Open Access
Two modeling methods for signaling pathways with multiple signals using UPPAAL
Shota Nakano,Shingo Yamaguchi +1 more
- 01 Jan 2011
TL;DR: This paper proposes two modeling methods for sig- naling pathways with multiple signals that transform a Petri net model of a signaling pathway to an automaton model of UPPAAL, and finds that the single automaton modeling method is more effective than the multiple automata model- ing method from the viewpoint of the number of signals, theNumber of states explored, and checking time.
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Abstract: Model checking has been attracting attention to analyze sig- naling pathways. There are two or more, i.e. multiple, signals flowing in a signaling pathway. Most of previous work, however, have treated only one, i.e. single, signal. To analyze a signaling pathway more precisely, it is necessary to treat multiple signals. There is few previous work treating multiple signals. It is known that a primary issue in model checking is the state-space explosion. Multiple signals make it difficult to analyze by model checking. In this paper, we propose two modeling methods for sig- naling pathways with multiple signals. These methods transform a Petri net model of a signaling pathway to an automaton model of UPPAAL. The first method uses multiple automata as a model of UPPAAL. The second method uses a single automaton as a model of UPPAAL. We ap- ply these methods to an example. And we find that the single automaton modeling method is more effective than the multiple automata model- ing method from the viewpoint of the number of signals, the number of states explored, and checking time. These results show that the model size to be analyzed is improved by devising of modeling method.
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Citations
Analyzing Oscillatory Behavior with Formal Methods
Alexander Andreychenko,Thilo Krüger,David Spieler +2 more
- 22 Oct 2012
TL;DR: This paper shall give an overview of the existing literature on different modeling formalisms for oscillatory systems, definitions of oscillatory behavior, and the respective analysis methods.
6
References
Petri nets: Properties, analysis and applications
Tadao Murata
- 01 Apr 1989
TL;DR: The author proceeds with introductory modeling examples, behavioral and structural properties, three methods of analysis, subclasses of Petri nets and their analysis, and one section is devoted to marked graphs, the concurrent system model most amenable to analysis.
Model Validation of Biological Pathways Using Petri Nets - Demonstrated for Apoptosis
Monika Heiner,Ina Koch,Jürgen Will +2 more
- 24 Feb 2003
TL;DR: The first steps of a new integrating methodology to develop and analyse models of biological pathways in a systematic manner using well established Petri net technologies using qualitative and quantitative analysis for behaviour prediction are demonstrated.
163
Symbolic Model Checking of Biochemical Networks
Nathalie Chabrier,François Fages +1 more
- 24 Feb 2003
TL;DR: It is argued that symbolic model checking is feasible in systems biology and that it shows some advantages over simulation for querying and validating formal models of biological processes.
160
Model validation of biological pathways using Petri nets--demonstrated for apoptosis.
TL;DR: In this paper, the authors demonstrate the first steps of a new integrating methodology to develop and analyse models of biological pathways in a systematic manner using well established Petri net technologies, which comprises step-wise modelling, animation, model validation as well as qualitative and quantitative analysis for behavior prediction.
147
From petri nets to differential equations – an integrative approach for biochemical network analysis
David Gilbert,Monika Heiner +1 more
- 26 Jun 2006
TL;DR: It is shown that analysis based on a discrete Petri net model of the system can be used to derive the sets of initial concentrations required by the corresponding continuous ordinary differential equation model, and no other initial concentrations produce meaningful steady states.