Geodesic
The constitutive equations for the bone tissue structural adaptation
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 54-61

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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. 
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     author = {Yu. V. Akulich and P. A. Bruchanov and M. V. Merzlyakov and A. V. Sotin},
     title = {The constitutive equations for the bone tissue structural adaptation},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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     number = {2},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a8/}
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Yu. V. Akulich; P. A. Bruchanov; M. V. Merzlyakov; A. V. Sotin. The constitutive equations for the bone tissue structural adaptation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 54-61. http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a8/