Gernert D
Department of Economics, Technical University of Munich, München, Germany.
Biosystems. 1997;43(3):179-87. doi: 10.1016/s0303-2647(97)00037-3.
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.
当涉及处理结构或模式时，通常应用于物理学的常规数学几乎没什么帮助，这在生物学和物理学中都很重要。在此提出将图文法作为一种额外的数学技术，它支持包括模式的生成、转换、识别、解释和应用等典型操作；在任何情况下，并行过程都可以用并行图文法来描述。在这些方面，将详细讨论图文法的特性，并且将表明有可能同态归约为其他表示形式（基于向量空间或细胞自动机）。
