Presentation 2017-03-17
Dependency Analysis of Transitions in Retention-Free Petri Net
Atsushi Mizuta, Qi-Wei GE, Hiroshi Matsuno,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) This paper aims to derive the transitions with dependent relation one another in retention-free Petri net. Firstly, we concretely define operations of dependent shrink based on dependent relation we have defined till now. Secondly, through topological analysis of retention-free Petri net, we prove the preservation of dependent relation of transitions before and after applying dependent shrink. After that, we propose a method to obtain a maximum subnet satisfying dependent relation and further prove the preservation of dependent relation for the whole nets before and after applying dependent shrink. Finally, to show the effectiveness of our proposed method, we apply our proposed method to the IL-3 Petri net model.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) signaling pathway / Petri net / retention-free Petri net / dependent shrink / dependent relation
Paper # MSS2016-93
Date of Issue 2017-03-09 (MSS)

Conference Information
Committee MSS
Conference Date 2017/3/16(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Shimane Univ.
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Satoshi Yamane(Kanazawa Univ.)
Vice Chair Morikazu Nakamura(Univ. of Ryukyus)
Secretary Morikazu Nakamura(Yamaguchi Univ.)
Assistant Hideki Kinjo(Okinawa Univ.)

Paper Information
Registration To Technical Committee on Mathematical Systems Science and its applications
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Dependency Analysis of Transitions in Retention-Free Petri Net
Sub Title (in English)
Keyword(1) signaling pathway
Keyword(2) Petri net
Keyword(3) retention-free Petri net
Keyword(4) dependent shrink
Keyword(5) dependent relation
1st Author's Name Atsushi Mizuta
1st Author's Affiliation Yamaguchi University(Yamaguchi Univ.)
2nd Author's Name Qi-Wei GE
2nd Author's Affiliation Yamaguchi University(Yamaguchi Univ.)
3rd Author's Name Hiroshi Matsuno
3rd Author's Affiliation Yamaguchi University(Yamaguchi Univ.)
Date 2017-03-17
Paper # MSS2016-93
Volume (vol) vol.116
Number (no) MSS-525
Page pp.pp.67-72(MSS),
#Pages 6
Date of Issue 2017-03-09 (MSS)