On the theory of the spatial organization of macromolecules in connective tissue

R. A. Farrell, R. W. Hart

Research output: Contribution to journalArticle

Abstract

The radial distribution function characterizing the spatial organization of the long fibrils of connective tissue is obtained by mathematical analysis of molecular models. The models are based on the assumption that polymeric chains form bridges between the fibrils, thereby providing the long range interactions responsible for the quasi-ordered spatial disposition of the fibrils. The theory is applied to rabbit cornea for which an empirical radial distribution has been obtained previously by analysis of electron micrographs. General agreement is found between theory and experiment for parameter values that are thought to be representative of stroma. The analysis constitutes a step toward the development of the physical basis of the ultrastructure of connective tissue and the way in which that structure affects physiological behavior.

Original languageEnglish (US)
Pages (from-to)727-760
Number of pages34
JournalThe Bulletin of Mathematical Biophysics
Volume31
Issue number4
DOIs
StatePublished - Dec 1969

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Macromolecules
connective tissues
Connective Tissue
Tissue
Cornea
Ultrastructure
Radial Distribution Function
molecular models
mathematical analysis
Molecular Models
Long-range Interactions
cornea
Rabbit
ultrastructure
Mathematical Analysis
Distribution functions
rabbits
electrons
Electrons
Electron

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Pharmacology
  • Neuroscience(all)
  • Mathematics(all)
  • Immunology
  • Environmental Science(all)
  • Computational Theory and Mathematics
  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)

Cite this

On the theory of the spatial organization of macromolecules in connective tissue. / Farrell, R. A.; Hart, R. W.

In: The Bulletin of Mathematical Biophysics, Vol. 31, No. 4, 12.1969, p. 727-760.

Research output: Contribution to journalArticle

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