Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Akulich Y. V., Bryukhanov P. A., Merzlyakov M. V., Sotin A. V. The Constitutive Equations for the Bone Tissue Structural Adaptation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, vol. 11, iss. 2, pp. 54-61. DOI: 10.18500/1816-9791-2011-11-2-54-61

Published online: 
25.04.2011
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(downloads: 145)
Language: 
Russian
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UDC: 
531/534:[57+61]

The Constitutive Equations for the Bone Tissue Structural Adaptation

Autors: 
Akulich Yurii Vladimirovich, Perm State National Research Polytechnical University, Russia
Bryukhanov Pavel Anatol'evich, Perm State National Research Polytechnical University, Russia
Merzlyakov M. V., Perm State National Research Polytechnical University, Russia
Sotin A. V., Perm State National Research Polytechnical University, Russia
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.

References: 

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