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IEICE TRANSACTIONS on Fundamentals

Incorporation of Cycles and Inhibitory Arcs into the Timed Petri Net Model of Signaling Pathway

Yuki MURAKAMI, Qi-Wei GE, Hiroshi MATSUNO

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Summary :

In our privious paper, we proposed an algorithm that determines delay times of a timed Petri net from the structural information of a signaling pathway, but Petri net structures containing cycles and inhibitory arcs were not considered. This paper provides conditions for cycle-contained Petri nets to have reasonable delay times. Furthermore, handling of inhibitory arcs are discussed in terms of the reaction rate of inhibitory interaction in signaling pathway, especially the conversion process of Petri net with inhibitory arc to the one without inhibitory arc is given.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.2 pp.514-524
Publication Date
2013/02/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E96.A.514
Type of Manuscript
Special Section PAPER (Special Section on Mathematical Systems Science and its Applications)
Category
Concurrent Systems

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