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Fuzzy Stochastic Petri Nets for Modeling Biological Systems with Uncertain Kinetic Parameters. [PDF]
PLoS ONE, 2016 Stochastic Petri nets (SPNs) have been widely used to model randomness which is an inherent feature of biological systems. However, for many biological systems, some kinetic parameters may be uncertain due to incomplete, vague or missing kinetic data ...
Fei Liu, Monika Heiner, Ming Yang
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A Numerical Comparison of Petri Net and Ordinary Differential Equation SIR Component Models [PDF]
IEEE AccessPetri nets are an increasingly used modeling framework for the spread of disease across populations or within an individual. For example, the Susceptible-Infectious-Recovered (SIR) compartment model is foundational for population epidemiological modeling
Trevor Reckell +4 more
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Analysis and optimization of a Stochastic Petri Net for air-rail intermodal transportation. [PDF]
PLoS ONEAir-rail intermodal transportation (ARIT) plays a crucial role in China's intermodal transportation system. This study aims to model and optimize issues such as inefficiency and complexity in China's ARIT freight transportation using Business Process ...
Yihu Lei, Haibo Mu
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The Basic Reproduction Number for Petri Net Models: A Next-Generation Matrix Approach [PDF]
Applied SciencesThe basic reproduction number (R0) is an epidemiological metric that represents the average number of new infections caused by a single infectious individual in a completely susceptible population.
Trevor Reckell +2 more
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Modeling and Analyzing Transmission of Infectious Diseases Using Generalized Stochastic Petri Nets
Applied Sciences (Switzerland), 2021 Some infectious diseases such as COVID-19 have the characteristics of long incubation period, high infectivity during the incubation period, and carriers with mild or no symptoms which are more likely to cause negligence.
Fei Liu, Tang Zhe, Lei Peng
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Вестник Самарского государственного технического университета. Серия: Технические науки, 2022 The presented review analyzes the approaches and methods of using simulation models in the maintenance and repair organization of the complex technical objects and systems.
Sergey P. Orlov, Sergey V. Susarev
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TiPeNeSS: A Timed Petri Net Simulator Software with Generally Distributed Firing Delays [PDF]
EAI Endorsed Transactions on Industrial Networks and Intelligent Systems, 2016 Performance analysis can be carried out in several ways, especially in case of Markovian models. In order to interpret high level of abstraction, we often use modeling tools like timed Petri nets (TPNs). Although some subclasses of TPNs (e.g.
Ádám Horváth, András Molnár
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Bisimulation Relations Between Automata, Stochastic Differential Equations and Petri Nets [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 Two formal stochastic models are said to be bisimilar if their solutions as a stochastic process are probabilistically equivalent. Bisimilarity between two stochastic model formalisms means that the strengths of one stochastic model formalism can be used
Mariken H.C. Everdij, Henk A.P. Blom
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From Epidemic to Pandemic Modelling
Frontiers in Systems Biology, 2022 We present a methodology for systematically extending epidemic models to multilevel and multiscale spatio-temporal pandemic ones. Our approach builds on the use of coloured stochastic and continuous Petri nets facilitating the sound component-based ...
Shannon Connolly +3 more
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Applied Sciences, 2023 Atherosclerosis is a multifactorial disease that affects large arteries and causes much morbidity and mortality worldwide. Despite ongoing research for several decades, it is still a global health problem that cannot be stopped and cured completely ...
Agnieszka Rybarczyk +3 more
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