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Genetic nets and dissipative structures: An algebraic approach

Research paper by Hugo M. Martinez, Gunnar Carlsson

Indexed on: 01 Apr '74Published on: 01 Apr '74Published in: Bulletin of Mathematical Biology



Abstract

Genetic nets represent an attempt to model genome structure. Depending on the interaction dynamics assumed, they can constitute highly non-linear chemical systems having multiple steady states; hence their relevance to the theory of dissipative structures. Their typical size and possible complexity makes it difficult to study them by means of customary analytical techniques based on differential equations. We have therefore considered an algebraic approach derived from regarding the nets as finite-state automata. This view has revealed a surprisingly rich algebraic structure which can be used to investigate problems concerned with the relation between biological structure and function. This algebraic structure is described with particular reference to the genetic nets of Tsanev and Sendov.