The Engine: Inducing the Morphogenetic Process of Human Beings

The stochastic Navier-Stokes equation solves the mysteries underlying the macroscopic morphogenetic processes of human beings, which include brain, legs, arms, internal organs. (Naitoh, 2001, 2008, 2010, 2011) This is possible because main part of the living beings is filled with water flow. The theoretical studies (Naitoh, 2008, 2010, 2011) also explain the reason why inner organs such as heart and liver are left-right asymmetric at the later stage of the developmental process. Our computational results (Naitoh and Kawanobe, 2011) also reveal the morphogenetic process of main blood vessels. Here, first, we examine the morphogenetic processes of bones and main nerve systems. Next, further thought experiments based on statistic fluid mechanics (Naitoh, 2008, 2011) and biological data reveal the standard network pattern common to neural networks inside the brain and various bio-molecular networks for the morphogenetic process of the human system. It is stressed that the standard network is basically constructed with only six groups of molecules and neurons. The physical equation describing the dynamics of the standard pattern shows the temporal oscillations appearing in various phenomena such as differentiation and proliferation in cell divisions and memory systems. Third, statistic fluid dynamics based on the quasi-stability principle and the indeterminacy principle (Naitoh, 2001, 2008, 2010, 2011) reveals the inevitability of the supermagic numbers including symmetric ratio of 1:1 and asymmetric ratios such as about 1.27:1, 1.35:1, 1.41:1, 1.44:1, 1.78:1, 2.1:1, 2.5:1, 3.6:1, and 4.54:1, in various pairs of flexible-particles in natural and living systems. The present report reveals the role of the magic numbers inside the human brain system, which are related to music, fine-arts, poem, and language. Thus, the fluid-dynamics proposed in our previous reports will bring a new insight on the spatiotemporal structure of ontogeny and also a new technology of cyberneology, which will result in artificial brain system living over millennium in super-computers.