In nature, our biological world consists of many species of biological contents such as DNA, RNA, and proteins, etc. We frequently ask a question: “Which is first, egg or chicken?” In the evolution of life, we also encounter a similar question: “Which is first, RNA, DNA, or protein?” or “How do they co-evolute?” In such biological systems, a theory of co-evolution of biopolymers is necessary. However, we have not yet been able to tame such a tough issue in the problem. Recently, Aita et al.1) have proposed a thermodynamic theory-like interpretation of evolutionary processes such as evolutions of proteins and biopolymers.∗) They found appropriate definitions for the concepts such as free fitness, evolutionary temperature, constant, entropy, force, and flux, etc. Using such quantities in evolutionary processes, they found a linear relationship between the evolutionary force and flux such as the linear response theory in thermodynamics. Their theory suggests that there may exist “a theory of irreversible processes” in evolution of a “single species” in biology. It can be thought of as a generalization of Onsager’s theory2),3) of irreversible processes to that of evolutionary processes. So, as a first step toward such a direction, I would like to postulate a generalization of Onsager’s theory of irreversible processes-like approach1) to the theory of evolutionary/co-evolutionary processes. In this paper, if there is no confusion, I would like to mean “co-evolutionary”(or “co-evolution”) simply by “evolutionary”(or “evolution”). Finally, I would like to give some comments on the relationship between Aita-Husimi’s interpretation,1) Kauffman’s point of view of generalized thermodynamics4) and Fuller’s synergetics philosophy.5),6) They are essentially all the same.
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