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System Failure Analysis Through Counters of Petri net Models
 Quality and Reliability Engineering International
, 2004
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Modeling Integrated Cellular Machinery Using Hybrid PetriBoolean Networks
"... The behavior and phenotypic changes of cells are governed by a cellular circuitry that represents a set of biochemical reactions. Based on biological functions, this circuitry is divided into three types of networks, each encoding for a major biological process: signal transduction, transcription re ..."
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The behavior and phenotypic changes of cells are governed by a cellular circuitry that represents a set of biochemical reactions. Based on biological functions, this circuitry is divided into three types of networks, each encoding for a major biological process: signal transduction, transcription regulation, and metabolism. This division has generally enabled taming computational complexity dealing with the entire system, allowed for using modeling techniques that are specific to each of the components, and achieved separation of the different time scales at which reactions in each of the three networks occur. Nonetheless, with this division comes loss of information and power needed to elucidate certain cellular phenomena. Within the cell, these three types of networks work in tandem, and each produces signals and/or substances that are used by the others to process information and operate normally. Therefore, computational techniques for modeling integrated cellular machinery are needed. In this work, we propose an integrated hybrid model (IHM) that combines Petri nets and Boolean networks to model integrated cellular networks. Coupled with a stochastic simulation mechanism, the model simulates the dynamics of the integrated network, and can be perturbed to generate testable hypotheses. Our model is qualitative and is mostly built upon knowledge from the literature and requires finetuning of very few parameters. We validated our model on two systems: the transcriptional regulation of glucose metabolism in human cells, and cellular osmoregulation in S. cerevisiae. The model produced results that are in very good agreement with experimental data, and
Modelling of a Sequential Lowlevel Language Program Using Petri Nets
"... Petri nets were devised for use in the modelling of a specific class of problems. Typical situations that can be modelled by Petri nets are synchronization, sequentiality, concurrency and conflict. This paper focuses on a lowlevel language program representation by means of Petri nets. In particula ..."
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Petri nets were devised for use in the modelling of a specific class of problems. Typical situations that can be modelled by Petri nets are synchronization, sequentiality, concurrency and conflict. This paper focuses on a lowlevel language program representation by means of Petri nets. In particular, Petri net formalisms were explored with emphasis on the application of the methodology in the modelling of a sequential lowlevel language program using a Motorola MC68000 assembly language program as an example. In the Petri net representation of the sequential lowlevel language program under consideration, tokens denote the values of immediate data as well as availability of the data. Thus, the developed petri net model shows that Petri net formalism can be conveniently used to represent flows of control and not flows of data.
Proving liveness properties of concurrent programs using petrinets
"... Abstract With the increased scale of distributed computations the complexity of liveness proofs have increased. In this paper we endeavor to simplify the process of verifying a concurrent system using well know modeling techniques. The choice of modeling tool as well as the proof is based on future ..."
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Abstract With the increased scale of distributed computations the complexity of liveness proofs have increased. In this paper we endeavor to simplify the process of verifying a concurrent system using well know modeling techniques. The choice of modeling tool as well as the proof is based on future scalability and automation. We translate the formal proof to a petrinet representation and use this to verify basic algorithms. We show that the formal proof of liveness stated by Owiki and Lamport can be adapted to petrinets. We also show a modification to petrinets for increased granularity in loop modeling. This is used to clarify the translation of the original proof to our petrinet representation. With these results we discuss the usefulness of our approach and compare it to other methods of ensuring liveness.
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"... dr.N.Sidorova ir.M.H.Schonenberg c © Copyright by Jingxian Jian, 2009 ..."
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