Skip to main content
Erschienen in: Natural Computing 4/2009

01.12.2009

A Petri net model for membrane systems with dynamic structure

verfasst von: Jetty Kleijn, Maciej Koutny

Erschienen in: Natural Computing | Ausgabe 4/2009

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

We consider membrane systems with dissolving and thickening reaction rules. Application of these rules entails a dynamical change in the structure of a system during its evolution. First we provide a precise operational model for these dynamic membrane systems in which also promoter and inhibitor rules may occur. Next we describe a translation into behaviourally equivalent Petri nets with localities and range arcs.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Agrigoroaiei O, Ciobanu G (2008) Rewriting logic specification of membrane systems with promoters and inhibitors. In: 7th WRLA, pp 1–16 (to appear in ENTCS) Agrigoroaiei O, Ciobanu G (2008) Rewriting logic specification of membrane systems with promoters and inhibitors. In: 7th WRLA, pp 1–16 (to appear in ENTCS)
Zurück zum Zitat Bernardini F, Manca V (2003) Dynamical aspects of P systems. Biosystems 70:85–93CrossRef Bernardini F, Manca V (2003) Dynamical aspects of P systems. Biosystems 70:85–93CrossRef
Zurück zum Zitat Bernardini F, Gheorghe M, Margenstern M, Verlan S (2007) Producer/consumer in membrane systems and Petri nets. Lect Notes Comput Sci 4497:43–52CrossRef Bernardini F, Gheorghe M, Margenstern M, Verlan S (2007) Producer/consumer in membrane systems and Petri nets. Lect Notes Comput Sci 4497:43–52CrossRef
Zurück zum Zitat Best E, Devillers R (1988) Sequential and concurrent behaviour in Petri net theory. Theor Comput Sci 55:87–136MathSciNet Best E, Devillers R (1988) Sequential and concurrent behaviour in Petri net theory. Theor Comput Sci 55:87–136MathSciNet
Zurück zum Zitat Best E, Fernández C (1988) Nonsequential processes. A Petri net view. Springer-Verlag, BerlinMATH Best E, Fernández C (1988) Nonsequential processes. A Petri net view. Springer-Verlag, BerlinMATH
Zurück zum Zitat Bogdana A, Ciobanu G (2007) Translating mobile ambients into P systems. Electron Notes Theor Comput Sci 171:11–23CrossRef Bogdana A, Ciobanu G (2007) Translating mobile ambients into P systems. Electron Notes Theor Comput Sci 171:11–23CrossRef
Zurück zum Zitat Calude CS, Păun Gh, Rozenberg G, Salomaa A (eds) (2001) Multiset processing. Mathematical, computer science, and molecular computing points of view. Lecture notes in computer science, vol 2235. Springer-Verlag, Berlin Calude CS, Păun Gh, Rozenberg G, Salomaa A (eds) (2001) Multiset processing. Mathematical, computer science, and molecular computing points of view. Lecture notes in computer science, vol 2235. Springer-Verlag, Berlin
Zurück zum Zitat Cardelli L, Gordon A (1998) Mobile ambients. Lect Notes Comput Sci 1378:140–155CrossRef Cardelli L, Gordon A (1998) Mobile ambients. Lect Notes Comput Sci 1378:140–155CrossRef
Zurück zum Zitat Cavaliere M, Sburlan D (2005) Time-independent P systems. Lect Notes Comput Sci 3365:239–258 Cavaliere M, Sburlan D (2005) Time-independent P systems. Lect Notes Comput Sci 3365:239–258
Zurück zum Zitat Ciardo G (1994) Petri Nets with marking-dependent arc cardinality: properties and analysis. Lect Notes Comput Sci 815:179–198MathSciNet Ciardo G (1994) Petri Nets with marking-dependent arc cardinality: properties and analysis. Lect Notes Comput Sci 815:179–198MathSciNet
Zurück zum Zitat Dal Zilio S, Formenti E (2004) On the dynamics of PB systems: a Petri net view. Lect Notes Comput Sci 2933:153–167 Dal Zilio S, Formenti E (2004) On the dynamics of PB systems: a Petri net view. Lect Notes Comput Sci 2933:153–167
Zurück zum Zitat Desel J, Reisig W, Rozenberg G (eds) (2004) Lectures on concurrency and Petri nets. Lecture notes in computer science, vol 3098. Springer-Verlag, Berlin Desel J, Reisig W, Rozenberg G (eds) (2004) Lectures on concurrency and Petri nets. Lecture notes in computer science, vol 3098. Springer-Verlag, Berlin
Zurück zum Zitat Freund R (2001) Sequential P systems. Rom J Inform Sci Technol 4:77–88 Freund R (2001) Sequential P systems. Rom J Inform Sci Technol 4:77–88
Zurück zum Zitat Freund R (2005) Asynchronous P systems and P systems working in the sequential mode. Lect Notes Comput Sci 3365:36–62CrossRef Freund R (2005) Asynchronous P systems and P systems working in the sequential mode. Lect Notes Comput Sci 3365:36–62CrossRef
Zurück zum Zitat Goltz U, Reisig W (1983) The non-sequential behaviour of Petri nets. Inform Comput 57:125–147MATHMathSciNet Goltz U, Reisig W (1983) The non-sequential behaviour of Petri nets. Inform Comput 57:125–147MATHMathSciNet
Zurück zum Zitat Janicki R, Lauer PE, Koutny M, Devillers R (1986) Concurrent and maximally concurrent evolution of nonsequential systems. Theor Comput Sci 43:213–238MATHCrossRefMathSciNet Janicki R, Lauer PE, Koutny M, Devillers R (1986) Concurrent and maximally concurrent evolution of nonsequential systems. Theor Comput Sci 43:213–238MATHCrossRefMathSciNet
Zurück zum Zitat Kleijn J, Koutny M (2006) Synchrony and asynchrony in membrane systems. Lect Notes Comput Sci 4361:66–85CrossRef Kleijn J, Koutny M (2006) Synchrony and asynchrony in membrane systems. Lect Notes Comput Sci 4361:66–85CrossRef
Zurück zum Zitat Kleijn J, Koutny M (2007) Processes of Petri nets with range testing. Fundam Inform 80:199–219MATHMathSciNet Kleijn J, Koutny M (2007) Processes of Petri nets with range testing. Fundam Inform 80:199–219MATHMathSciNet
Zurück zum Zitat Kleijn J, Koutny M (2008a) Processes of membrane systems with promoters and inhibitors. Theor Comput Sci 404:112–126MATHMathSciNet Kleijn J, Koutny M (2008a) Processes of membrane systems with promoters and inhibitors. Theor Comput Sci 404:112–126MATHMathSciNet
Zurück zum Zitat Kleijn J, Koutny M (2008b) Petri nets and membrane computing. Technical report CS-TR-1117, also to appear in a handbook on membrane computing Kleijn J, Koutny M (2008b) Petri nets and membrane computing. Technical report CS-TR-1117, also to appear in a handbook on membrane computing
Zurück zum Zitat Kleijn J, Koutny M, Rozenberg G (2006a) Towards a Petri net semantics for membrane systems. Lect Notes Comput Sci 3850:292–309CrossRef Kleijn J, Koutny M, Rozenberg G (2006a) Towards a Petri net semantics for membrane systems. Lect Notes Comput Sci 3850:292–309CrossRef
Zurück zum Zitat Kleijn J, Koutny M, Rozenberg G (2006b) Process semantics for membrane systems. J Autom Lang Comb 11:321–340MATHMathSciNet Kleijn J, Koutny M, Rozenberg G (2006b) Process semantics for membrane systems. J Autom Lang Comb 11:321–340MATHMathSciNet
Zurück zum Zitat Martín-Vide C, Păun Gh, Pazos J, Rodríguez-Patón A (2003) Tissue P systems. Theor Comput Sci 296:295–326MATH Martín-Vide C, Păun Gh, Pazos J, Rodríguez-Patón A (2003) Tissue P systems. Theor Comput Sci 296:295–326MATH
Zurück zum Zitat Păun Gh (2002) Membrane computing. An Introduction. Springer-Verlag, BerlinMATH Păun Gh (2002) Membrane computing. An Introduction. Springer-Verlag, BerlinMATH
Zurück zum Zitat Păun Gh, Rozenberg G (2002) A guide to membrane computing. Theor Comput Sci 287:73–100MATHCrossRef Păun Gh, Rozenberg G (2002) A guide to membrane computing. Theor Comput Sci 287:73–100MATHCrossRef
Zurück zum Zitat Păun Gh, Yu S (1999) On synchronization in P systems. Fundam Inform 38:397–410MATH Păun Gh, Yu S (1999) On synchronization in P systems. Fundam Inform 38:397–410MATH
Zurück zum Zitat Qi Z, You J, Mao H (2004) P systems and Petri nets. Lect Notes Comput Sci 2933:286–303 Qi Z, You J, Mao H (2004) P systems and Petri nets. Lect Notes Comput Sci 2933:286–303
Zurück zum Zitat Reisig W, Rozenberg G (eds) (1998) Lectures on Petri nets. Lecture notes in computer science, vols 1491 & 1492. Springer-Verlag, Berlin Reisig W, Rozenberg G (eds) (1998) Lectures on Petri nets. Lecture notes in computer science, vols 1491 & 1492. Springer-Verlag, Berlin
Zurück zum Zitat Rozenberg G, Engelfriet E (1998) Elementary net systems. Lect Notes Comput Sci 1491:12–121 Rozenberg G, Engelfriet E (1998) Elementary net systems. Lect Notes Comput Sci 1491:12–121
Zurück zum Zitat Silva M, Teruel E, Colom JM (1998) Linear algebraic and linear programming techniques for the analysis of place/transition net systems. Lect Notes Comput Sci 1491:309–373 Silva M, Teruel E, Colom JM (1998) Linear algebraic and linear programming techniques for the analysis of place/transition net systems. Lect Notes Comput Sci 1491:309–373
Metadaten
Titel
A Petri net model for membrane systems with dynamic structure
verfasst von
Jetty Kleijn
Maciej Koutny
Publikationsdatum
01.12.2009
Verlag
Springer Netherlands
Erschienen in
Natural Computing / Ausgabe 4/2009
Print ISSN: 1567-7818
Elektronische ISSN: 1572-9796
DOI
https://doi.org/10.1007/s11047-008-9101-0

Weitere Artikel der Ausgabe 4/2009

Natural Computing 4/2009 Zur Ausgabe

Premium Partner