Cyto-fluid Dynamic Theory

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)75-105
Number of pages31
JournalJapan Journal of Industrial and Applied Mathematics
Volume18
Issue number1
Publication statusPublished - 2001 Feb
Externally publishedYes

Fingerprint

Dynamics (theory)
Fluid Dynamics
Fluid dynamics
Atomization
Liquids
Liquid
Molecules
Droplet
Cell proliferation
Pressure gradient
Surface tension
Chemical reactions
Hydrogen bonds
Internal
Cells
Cell Proliferation
Hydrogen Bonds
Empirical Model
Breakup
Pressure Gradient

Keywords

  • Atomization
  • Cell division
  • Cyto-fluid dynamic theory
  • Origin

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Cyto-fluid Dynamic Theory. / Naitoh, Ken.

In: Japan Journal of Industrial and Applied Mathematics, Vol. 18, No. 1, 02.2001, p. 75-105.

Research output: Contribution to journalArticle

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