2007
DOI: 10.1007/s12038-007-0011-6
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Modelling and simulation of signal transductions in an apoptosis pathway by using timed Petri nets

Abstract: This paper first presents basic Petri net components representing molecular interactions and mechanisms of signaling pathways, and introduces a method to construct a Petri net model of a signaling pathway with these components. Then a simulation method of determining the delay time of transitions of Petri net model, i.e. the time taken in firing of each transition, is proposed based on some simple principles that the number of tokens flowed into a place is equivalent to the number of tokens flowed out. Finally… Show more

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Cited by 48 publications
(7 citation statements)
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“…The parameter identification for ODE models is in the very most cases dependent on quantitative measurements which still are a systems biology bottle neck. Another approach is the use of Petri nets [9],[10], however, the required input for parameterization is still relatively high due to the need of defining transition rules.…”
Section: Introductionmentioning
confidence: 99%
“…The parameter identification for ODE models is in the very most cases dependent on quantitative measurements which still are a systems biology bottle neck. Another approach is the use of Petri nets [9],[10], however, the required input for parameterization is still relatively high due to the need of defining transition rules.…”
Section: Introductionmentioning
confidence: 99%
“…A variety of formalisms have been used to develop symbolic models of biological systems, including Petri nets [16, 17], statecharts [18], live sequence charts [19], ambient/membrane calculi [20], and rule-based systems [21, 22]. …”
Section: Symbolic Systems Biologymentioning
confidence: 99%
“…Petri nets are a mathematical formalism that have been applied in the modeling of several biological pathway systems (Chaouiya et al, 2004;Chen et al, 2007;Zevedei-Oancea et al, 2003). Hybrid Petri nets are a particular type of Petri net extension devel-oped to accomodate discrete and continuous elements within the same formalism.…”
Section: Introductionmentioning
confidence: 99%