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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2011 Volume 11, Issue 2, Pages 54–61 (Mi isu219)

This article is cited in 2 papers

Mechanics

The constitutive equations for the bone tissue structural adaptation

Yu. V. Akulich, P. A. Bruchanov, M. V. Merzlyakov, A. V. Sotin

Perm State Technical University, Chair of Theoretical Mechanics

Abstract: The constitutive relationships for cortical and trabecular bone tissue structural adaptation are offered. These constitutive equations connect the rate of change of the porous radius with the strain adaptive stimulus and the bone cells activation. The used approach takes account of bone cells activation and it is alternative to the known experimental Frost's Basic Multicellular Units method. That approach allows spreading the cellular remodeling mechanism on the functional adaptation process.

Key words: bone tissue, structural adaptation, constitutive relationship, strain stimulus, bone cells activation.

UDC: 531/534:[57+61]

DOI: 10.18500/1816-9791-2011-11-2-54-61



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