Membrane Computing: Main Ideas, Basic Results, Applications

Membrane Computing: Main Ideas, Basic Results, Applications

Gheorghe Paun (Institute of Mathematics of the Romanian Academy, Romania and Research Group on Natural Computing, University of Sevilla, Spain)
Copyright: © 2005 |Pages: 31
DOI: 10.4018/978-1-59140-333-3.ch001
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Abstract

Membrane computing is a branch of natural computing whose initial goal was to abstract computing models from the structure and the functioning of living cells. The research was initiated about five years ago (at the end of 1998), and since that time the area has been developed significantly from a mathematical point of view. The basic types of results of this research concern the computability power (in comparison with the standard Turing machines and their restrictions) and the efficiency (the possibility to solve computationally hard problems, typically NP-complete problems, in a feasible time and typically polynomial). However, membrane computing has recently become attractive also as a framework for devising models of biological phenomena, with the tendency to provide tools for modelling the cell itself, not only the local processes. This chapter surveys the basic elements of membrane computing, somewhat in its “historical” evolution: from biology to computer science and mathematics and back to biology. The presentation is informal, without any technical detail, and an invitation to membrane computing intended to acquaint the nonmathematician reader with the main directions of research of the domain, the type of central results, and the possible lines of future development, including the possible interest of the biologist looking for discrete algorithmic tools for modelling cell phenomena.

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Dedication
Table of Contents
Acknowledgments
Marian Gheorghe
Chapter 1
Gheorghe Paun
Membrane computing is a branch of natural computing whose initial goal was to abstract computing models from the structure and the functioning of... Sample PDF
Membrane Computing: Main Ideas, Basic Results, Applications
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Chapter 2
Vincenzo Manca, Giuditta Franco, Giuseppe Scollo
Classical dynamics concepts are analysed in the basic mathematical setting of state transition systems where time and space are both completely... Sample PDF
State Transition Dynamics: Basic Concepts and Molecular Computing Perspectives
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Chapter 3
Lila Kari, Elena Losseva, Petr Sosik
This chapter looks at the question of managing errors that arise in DNA-based computation. Due to the inaccuracy of biochemical reactions, the... Sample PDF
DNA Computing and Errors: A Computer Science Perspective
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Chapter 4
Carlos Martin-Vide, Victor Mitrana
The goal of this chapter is to survey, in a systematic and uniform way, the main results regarding different computational aspects of hybrid... Sample PDF
Networks of Evolutionary Processors: Results and Perspectives
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Chapter 5
Andrés Cordón-Franco, Miguel A. Gutiérrez-Naranjo, Mario J. Pérez-Jiménez, Agustín Riscos-Núñez
This chapter is devoted to the study of numerical NP-complete problems in the framework of cellular systems with membranes, also called P systems... Sample PDF
Cellular Solutions to Some Numerical NP-Complete Problems: A Prolog Implementation
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Chapter 6
Jean-Louis Giavitto, Olivier Michel
Biology has long inspired unconventional models of computation to computer scientists. This chapter focuses on a model inspired by biological... Sample PDF
Modeling Development Processes in MGS
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Chapter 7
Richard Gergory, Richard Vlachos, Ray C. Paton, John W. Palmer, Q. H. Wu, Jon R. Saunders
This chapter describes two approaches to individual-based modelling that are based on bacterial evolution and bacterial ecologies. Some history of... Sample PDF
Computing Bacterial Evolvability Using Individual-Based Models
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Chapter 8
Gabriel Ciobanu
In this chapter a model of the molecular networks, created by using a network of communicating automata, is described as a dynamic structure... Sample PDF
On a Formal Model of the T Cell and Its Biological Feedback
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Chapter 9
Petros Kefalas, G. Eleftherakis, I. Stamatopoulou
Multi-agent systems are highly dynamic since the agents’ abilities and the system configuration often changes over time. In some ways, such... Sample PDF
Formal Modelling of the Dynamic Behaviour of Biology-Inspired, Agent-Based Systems
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About the Authors