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Feasibility of Organizations – A Refinement of Chemical Organization Theory with Application to P Systems

  • Stephan Peter
  • Tomas Veloz
  • Peter Dittrich
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6501)

Abstract

In membrane computing, a relatively simple set of reaction rules usually implies a complex “constructive” dynamics, in which novel molecular species appear and present species vanish. Chemical organization theory is a new approach that deals with such systems by describing chemical computing as a transition between organizations, which are closed and self-maintaining sets of molecular species. In this paper we show that for the case of mass-action kinetics some organizations are not feasible in the space of concentrations and thus need not to be considered in the analysis. We present a theorem providing criteria for an unfeasible organization. This is a refinement of organization theory making its statements more precise. In particular it follows for the design of a membrane computing system that the desired resulting organization of a chemical computing process should be a feasible organization. Nevertheless we show that due to the membranes in a P system unfeasible organizations can be observed, suggesting a strong link between the two approaches.

Keywords

Reaction Network Organization Theory Oscillatory Regime Stoichiometric Matrix Reaction Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Stephan Peter
    • 1
  • Tomas Veloz
    • 2
  • Peter Dittrich
    • 1
  1. 1.Department for Mathematics and Computer Sciences, Bio Systems Analysis GroupFriedrich Schiller University of JenaJenaGermany
  2. 2.Departamento de Ciencias de la ComputacionUniversity of ChileSantiagoChile

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