Graph Drawing Approaches for Petri Net Models

Staines, Anthony

doi:10.37394/23209.2020.17.13

Wseas Transactions on Information Science and Applications

2020

DOI: 10.37394/23209.2020.17.13

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Graph Drawing Approaches for Petri Net Models

Anthony Staines

Abstract: This work presents a theoretical perspective how to apply graph drawing approaches to Petri Net models. Section 1 is the introduction to the problem. Section 2 is the background and the motivation. This part explains why graph drawing approaches are useful for Petri net modelling. Section 3 is the problem definition. This part explains the main problem. Section 4 defines the proposed solutions and examples are given. Section 5 discusses results, findings and assumptions. Section 6 gives some conclusions.

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Cited by 3 publications

References 13 publications

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Simulation of the Effect of N2O on DNA Damage by Ionizing Radiation

Barilla,

Simr,

Sýkorová

2024

Molecular Sciences and Applications

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Damage to the DNA molecule by ionizing radiation can be influenced by the presence of certain chemicals in the cell during irradiation. These substances can be both radioprotective and radiosensitive. In this paper, we will discuss the effect of N2O, widely used in medicine, on the chemical stage of the radiobiological mechanism. N2O in the cell during irradiation with ionizing radiation results in more significant damage to the DNA molecule because N2O reacts with hydrated electrons 𝑒𝑎𝑞 − to form aggressive OH radicals. A mathematical simulation model developed using hybrid Petri nets is used to analyze this dynamic process. Hybrid Petri nets allow us to quickly create a mathematical simulation model and explore the system under study to obtain detailed information for practical applications.

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Simulation of the Effect of N2O on DNA Damage by Ionizing Radiation

Barilla,

Simr,

Sýkorová

2024

Molecular Sciences and Applications

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Aspects of Symmetry in Petri Nets

Staines

2024

Wseas Transactions on Computers

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Symmetry is a fundamental mathematical property applicable to the description of various shapes both geometrical and representational. Symmetry is central to understanding the nature of various objects. It can be used as a simplifying principle when structures are created. Petri nets are widely covered formalisms, useful for modeling different types of computer systems or computer configurations. Different forms of Petri nets exist along with several forms of representation. Petri nets are useful for i) deterministic and ii) non-deterministic modeling. The aspect of symmetry in Petri nets requires in-depth treatment that is often overlooked. Symmetry is a fundamental property found in Petri nets. This work tries to briefly touch on these properties and explain them with simple examples. Hopefully, readers will be inspired to carry out more work in this direction.

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Concurrency and Petri Net Models

Staines

2022

International Journal of Circuits, Systems and Signal Processing

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Concurrency is a fundamental problem and a solution applicable to different areas of computing. Given the complexities and distribution of computer systems and services, concurrency is a modern area requiring proper attention. Petri nets are formalisms based on process representation both from a mathematical view and from a graphical or drawing like view. Petri nets are used to model concurrent processes. This work deals with understanding and representing low level concurrency in Petri nets, when this is not always visible and properly noted from the graphical structure. In this study an algebraic notation has been devised and is used to represent the Petri net structures. This algebraic notation is used as an alternative and simplified way of representation. The notation is explained and several simple examples are given. The notation presented can be used in conjunction with other Petri net analysis and verification methods. Some results and findings are discussed.

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Graph Drawing Approaches for Petri Net Models

Cited by 3 publications

References 13 publications

Simulation of the Effect of N2O on DNA Damage by Ionizing Radiation

Simulation of the Effect of N2O on DNA Damage by Ionizing Radiation

Aspects of Symmetry in Petri Nets

Concurrency and Petri Net Models

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