A specific kind of chemical reaction, biochemical reactions involving catalysts, inspired the model of membrane systems, called P systems with catalysts, are considered in this chapter. Some of these devices do not have several of the features shared by the majority of the models of membrane systems. For instance, the environment, a compartment with symbols present in an unbounded amount, is not present. Often also the underlying topological structure is absent, that is, it ‘collapses’ to just one compartment (so, no passage of symbols between compartments). The resulting membrane systems are then multiset rewriting systems.
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