The inevitability of biological molecules connected by covalent and hydrogen bonds

Research output: Contribution to journalArticle


A statistic fluid-dynamical model derived based on a quasi-stability concept and the indeterminacy principle extended from our previous reports (Naitoh, JJIAM, 2001, Artificial Life Robotics, 2010) reveals the magic numbers observed in various molecules connected by covalent and hydrogen bonds, although our previous model explains only those connected by hydrogen bonds. First, this model explains the reason why particles such as biological cells and nitrogenous bases have bimodal size ratios of 1:1 and about 2:3 between the golden and silver ratios. Next, a higher order of analysis also clarifies other asymmetric ratios, i.e., the super-magic number of about 1:3.5, 1:2.5, 1:2.1, 1:1.78, 1:1.35, and 1:1.27 in various systems including chromosomes, amino acids, and proteins.

Original languageEnglish
Pages (from-to)251-254
Number of pages4
JournalIFMBE Proceedings
Publication statusPublished - 2011 Nov 10



  • asymmetry
  • covalent bond
  • Magic numbers
  • molecules

ASJC Scopus subject areas

  • Bioengineering
  • Biomedical Engineering

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