| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
Archive of Issues
Total articles in the database: | | 12804 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4760 |
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<< Previous article | Volume 55, Issue 7 / 2020 | Next article >> |
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 2018 | Revised |
15 January 2019 | Accepted |
19 March 2019 |
Link to Fulltext |
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