Abstract

This paper demonstrates the applicability of defect theory in crystal physics to the solution of problems in micro-biomechanics. We first introduce the concept of crystal imperfections with particular emphasis on the new defect known as dispiration. The presence of dispirations in the crystalline structures of T-even bacteriophages, tobacco mosaic viruses and striated muscles as well as the relation of dispirations to movements and shape changes of these biological systems are discussed. Since the crystalline structures of T-even bacteriophages and tobacco mosaic viruses assume the form of hollow cylinders, the geometric characteristics of dispirations in cylindrical surface crystals are examined. It also has been shown that within the approximation of shell theory the complete elastic field of a dispiration dipole can be obtained by superimposing the solutions of two sets of dislocation dipoles. The stability of dispirations is examined from the energy considerations. The present solution of dispiration elastic field provides a basic analytical tool for the understanding of the contractile mechanisms in biological systems.

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