Graph grammars as an analytical tool in physics and biology

The usual mathematics which is commonly applied to physics will scarcely be helpful when structures or patterns are to be handled, which is relevant both in biology and in physics. Here graph grammars are proposed as an additional mathematical technique, which supports characteristic operations including the generation, transfer, recognition, interpretation and application of patterns; in any case parallel processes can be described by parallel graph grammars. Under these aspects the properties of graph grammars are discussed in detail, and it will be shown that a homomorphic reduction to other representations (based on a vector space or on cellular automata) is possible.