A mathematically scientific study of cyanobacteria’s circadian rhythm based on induced memory by hysteresis structure of covalent modification as self-feedforward auto-control system
Life organisms is a continuum of control systems, which is deeply interested mechanically as well as biologically. For instance, the circadian rhythm is a very useful trait that is naturally and instinctively possessed by life organisms that continue to live on Earth, from single-celled microorganisms such as cyanobacteria to animals and plants in general, and mammals and primates. It is known that cyanobacteria and plants use this circadian cycle to naturally begin preparing for photosynthesis with auto-feedforward control. It is also known that circadian rhythms are realized with transcription-translation by use of clock genes and clock proteins at a cellular level in various life organisms. By Kondo’s LAB’s evolution experiment in Nagoya University, a mixture of the clock gene knocked-out strain and wild-type strain was in a test tube. They observed which one gets survived, as remaining competitively for several days, and it was reported that, according to the laws of evolution, the wild-type strain grew exponentially and overcame the knockout strain. In this way, the self-feedforward control mechanism is also very important because of the optimization of the benefit and cost ratio. In this paper, we overview our mathematically scientific points represented by our mathematical model of a system of ODEs.
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