 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
|
| In English (J. Appl. Math. Mech.): | | 799 |
|
| << Previous article | Volume 79, Issue 2 / 2015 | Next article >> |
| L.B. Maslov, "Mathematical modelling of the mechanical properties of callus restoration," J. Appl. Math. Mech. 79 (2), 195-206 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
2 |
Pages |
195-206 |
| DOI |
10.1016/j.jappmathmech.2015.07.011 |
| Title |
Mathematical modelling of the mechanical properties of callus restoration |
| Author(s) |
L.B. Maslov (Moscow, Russia, maslov@tipm.ispu.ru) |
| Abstract |
A mathematical model and computational algorithm are proposed for the regeneration of bone tissue controlled by a cell differentiation law and the action of an external mechanical stimulus of a periodic character. An extended dynamic model of a changing poroelastic continuous medium and the finite element method in a three-dimensional formulation are the basis of the calculation of the restoration of the elastic properties of bone tissue. The software developed makes it possible to study the processes in the regeneration of damaged bone elements of the human locomotor system with a steady dynamic load and theoretically to substantiate the choice of the optimal periodic action on the damaged tissues for their speediest and stable healing. |
| Received |
13 August 2014 |
| Link to Fulltext |
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