Download Applications of Membrane Computing by Gabriel Ciobanu, Mario J. Pérez-Jiménez, Gheorghe Păun PDF

By Gabriel Ciobanu, Mario J. Pérez-Jiménez, Gheorghe Păun

Membrane computing is a department of typical computing which investigates computing types abstracted from the constitution and functioning of dwelling cells and from their interactions in tissues or higher-order organic buildings. The types thought of, known as membrane structures (P systems), are parallel, dispensed computing types, processing multisets of symbols in cell-like compartmental architectures. in lots of functions membrane structures have huge benefits – between those are their inherently discrete nature, parallelism, transparency, scalability and nondeterminism.

In committed chapters, prime specialists clarify lots of the functions of membrane computing pronounced to date, in biology, machine technology, special effects and linguistics. The booklet additionally comprises particular reports of the software program instruments used to simulate P systems.

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Additional info for Applications of Membrane Computing

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M ≥ 1 (the initial degree of the system); O is the alphabet of objects; H is a finite set of labels for membranes; µ is a membrane structure, consisting of m membranes initially having neutral polarizations labeled (not necessarily in a one-to-one manner) with elements of H; 5. w1 , . . , wm are strings over O, describing the multisets of objects placed in the m regions of µ; 6. R is a finite set of developmental rules, of the following forms: e (a) [ h a → v] h , for h ∈ H, e ∈ {+, −, 0}, a ∈ O, v ∈ O ∗ (object evolution rules, associated with membranes and depending on the label and the charge of the membranes but not directly involving the membranes, in the sense that the membranes are neither taking part in the application of these rules nor are they modified by them); 22 Gh.

A. Alhazov, M. Margenstern, V. Rogozhin, Y. Rogozhin, S. Verlan: Communicative P Systems with Minimal Cooperation. In [59], 162–178. 5. A. Alhazov, C. Mart´ın-Vide, L. Pan: Solving a PSPACE-Complete Problem by P Systems with Restricted Active Membranes. Fundamenta Informaticae, 58, 2 (2003), 67–77. 6. A. Alhazov, C. Mart´ın-Vide, Gh. : Pre-proceedings of Workshop on Membrane Computing, WMC 2003, Tarragona, Spain, July 2003. Technical Report 28/03, Rovira i Virgili University, Tarragona, 2003. 7.

The replicated rewriting is important because it provides the possibility to replicate strings, thus enlarging the workspace, and indeed this is one of the frequently used ways to generate an exponential workspace in linear time, used then for solving computationally hard problems in polynomial time. , at the genome level. 28 Gh. P˘ aun 16 Tissue-like P Systems We pass now to consider a very important generalization of the membrane structure, passing from the cell-like structure, described by a tree, to a tissue-like structure, with the membranes placed in the nodes of an arbitrary graph (which corresponds to the complex communication networks established among adjacent cells by making their protein channels cooperate, moving molecules directly from one cell to another, [53]).

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