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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 2, Pages 54–61
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-54-61 (Mi isu219) 		 
This article is cited in 2 scientific papers (total 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
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DOI: https://doi.org/10.18500/1816-9791-2011-11-2-54-61
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.
Document Type: Article
UDC: 531/534:[57+61]
Language: Russian
Citation: Yu. V. Akulich, P. A. Bruchanov, M. V. Merzlyakov, A. V. Sotin, “The constitutive equations for the bone tissue structural adaptation”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011), 54–61
Citation in format AMSBIB
\Bibitem{AkuBryMer11}
\by Yu.~V.~Akulich, P.~A.~Bruchanov, M.~V.~Merzlyakov, A.~V.~Sotin
\paper The constitutive equations for the bone tissue structural adaptation
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 2
\pages 54--61
\mathnet{http://mi.mathnet.ru/isu219}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-2-54-61}
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    • This publication is cited in the following 2 articles:
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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