Cyto-fluid Dynamic Theory

Ken Naitoh*


研究成果: Article査読

38 被引用数 (Scopus)


A universal theory describing the deformation and atomization processes of liquid droplets and columns is proposed on the basis of the first principle of fluid dynamics. Based on the proposed theory, previously reported empirical models such as the TAB model and the OPT model can be derived along with their arbitrary constants. Moreover, this theory provides a formulation for breakup phenomena when two droplets collide. It is also shown on the basis of this theory that the atomization processes of liquid droplets are mathematically similar to biological cell proliferation. This is because actual living cells mainly consist of liquid and because both systems are dominated by three essential forces, that is, internal convection, surface tension, and the internal pressure gradient due to energy input. Finally, it will be shown that the present theory offers a qualitative explanation of the unlacing processes of biological molecules such as the base pairs of purines and pyrimidines surrounded with water molecules, that is, the chemical reaction processes related to the hydrogen bonds.

ジャーナルJapan Journal of Industrial and Applied Mathematics
出版ステータスPublished - 2001 2月

ASJC Scopus subject areas

  • 工学(全般)
  • 応用数学


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