Categories of (ℓ, ℛ)-systems

作者: Michael Abib

DOI: 10.1007/BF02476858

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摘要: We show that when we represent (l, ℛ)-systems with fixed genome as automata (sequential machines), get output-dependent states. This yields a short proof ((l, from subcategory of automata—and more homomorphisms than previously exhibited. how variable genetic structure may be represented and use this embedding to set up larger the category automata. An analogy dynamical systems is briefly discussed. paper presents formal exploration extension some ideas presented by Rosen (Bull. Math. Biophyss,26, 103–111, 1964;28, 141–148;28 149–151). refer reader these papers, references cited therein, for discussion relevance material relational biology.

参考文章(5)
Michael A. Arbib, A Common Framework for Automata Theory and Control Theory Journal of the Society for Industrial and Applied Mathematics Series A Control. ,vol. 3, pp. 206- 222 ,(1965) , 10.1137/0303017
Robert Rosen, ABSTRACT BIOLOGICAL SYSTEMS AS SEQUENTIAL MACHINES. Bulletin of Mathematical Biology. ,vol. 26, pp. 103- 111 ,(1964) , 10.1007/BF02476831
Robert Rosen, A note on replication in (M,R)-systems. Bulletin of Mathematical Biology. ,vol. 28, pp. 149- 151 ,(1966) , 10.1007/BF02476988
Robert Rosen, Abstract biological systems as sequential machines: III. Some algebraic aspects Bulletin of Mathematical Biology. ,vol. 28, pp. 141- 148 ,(1966) , 10.1007/BF02476987