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IssuesArchive of Issues2020-7pp.1115-1134

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Maslov L.B., "Biomechanical Model, Numerical Analysis of Tissue Regeneration within a Porous Scaffold," Mech. Solids. 55 (7), 1115-1134 (2020)
Year 2020 Volume 55 Number 7 Pages 1115-1134
DOI 10.3103/S0025654420070158
Title Biomechanical Model, Numerical Analysis of Tissue Regeneration within a Porous Scaffold
Author(s) Maslov L.B. (Ivanovo State Power Engineering University, Ivanovo, 153003 Russia; Peter the Great Polytechnical University, St. Petersburg, 195251 Russia, maslov@tipm.ispu.ru)
Abstract The development of a mechanobiological concept of reparative regeneration of bone tissue determined by the cell differentiation law and the impact of an external periodic mechanical load is presented. A mathematical model of bone regeneration within a porous implant (scaffold) with a regular or chaotic internal structure is developed on the basis of finite-element analysis of the stress-strain state of a poroelastic medium. The analytical method for the estimation of effective elastic moduli of a composite object that describes the “bone-implant” system is presented; it enables the assessment of the poroelastic characteristics of the model of the changing continuous medium at each time step upon the computational simulation of bone tissue regeneration within the implant material. The computational algorithms developed are used for the study of a three-dimensional finite element model of osteosynthesis in a human tubular bone assisted by a porous implant. Parametric analysis of a computational model of bone tissue regeneration under the influence of an external stimulatory load that changes according to the harmonic law has been performed and the relationships between the regeneration characteristics, the parameters of external impact, and implant porosity have been determined.
Keywords mathematical model, poroelasticity, vibration, bone, implant, regeneration, mechanical stimulus
Received 18 August 2018Revised 15 January 2019Accepted 19 March 2019
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