 | | 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: | | 13554 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8194
|
| In English (Mech. Solids): | | 5360 |
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| L.B. Maslov and E.E. Ilyina, "Mathematical Modeling of Bone Tissue Regeneration Processes under Mechanical Stimulation," Mech. Solids. 60 (7), 5504-5525 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
7 |
Pages |
5504-5525 |
| DOI |
10.1134/S0025654425604252 |
| Title |
Mathematical Modeling of Bone Tissue Regeneration Processes under Mechanical Stimulation |
| Author(s) |
L.B. Maslov (Ivanovo State Power Engineering University named after V.I. Lenin, Ivanovo, 153003 Russia;Peter the Great St. Petersburg Polytechnic University, St. Petersburg, 195251 Russia, leonid-maslov@mail.ru)
E.E. Ilyina (Ivanovo State Power Engineering University named after V.I. Lenin, Ivanovo, 153003 Russia, tipm@ispu.ru) |
| Abstract |
This study addresses the mathematical formulation of a relevant mechanobiology problem
concerning the regulatory effect of mechanical stimulation on reparative bone tissue regeneration.
Based on poroelasticity theory, a mathematical model was developed to describe changes in the
physic-mechanical properties of key biological tissue morphotypes involved in bone regeneration
under stationary dynamic loading. A finite-element algorithm was also created to implement the
model digitally. The proposed approaches were applied to computer simulations of a biomechanical
structure representing an idealized fracture of a human long tubular bone and the surrounding callus
tissue. The results were compared with published data from other poroelastic models, demonstrating
their consistency. An investigation was conducted into the influence of key dynamic loading parameters on the mechanical property recovery of the callus. The presented bone regeneration model exhibits mathematically adequate behavior and sufficient predictive capability, enabling its further development and application in biophysical research and biomedical practice. |
| Keywords |
mathematical model, bone tissue, reparative regeneration, mechanical stimulation, computational experiment |
| Received |
05 August 2025 | Revised |
15 August 2025 | Accepted |
02 September 2025 |
| Link to Fulltext |
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