New Mathematical Approaches to the Problems of Algebraic Biology

The analysis of algebraic biology in its current state, as a separate independent science with its subject of study, tasks and methods for their solution, is carried out. The necessity of applying the systems approach in algebraic biology in its modern version using the categorical theory of systems and the categorical language for algebraic methods for studying DNA and its properties is shown. On this way, authors hope, in particular, to find new approaches to the creation of artificial intelligence systems and effective biotechnologies of regenerative medicine. Examples of everyday structures that are not reducible to sets are considered.

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