Mathematical Modeling
Vol. 7 (2023), Issue 3, pg(s) 90-93

MATHEMATICAL MODELLING OF MEDICAL-BIOLOGICAL PROCESSES AND SYSTEMS

Examine of stress-strain state of a spongy bone of an implanted jaw

  • 1 I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Georgia

Abstract

A spongy bone can be considered a multi-porous area with its fissures and pores as the most evident components of a double porous system. The work studies the stress-strain state of a spongy jawbone near the implant under occlusal loading. A mathematical model of the problem is the contact problem of the theory of elasticity between the implant and the jawbone. The problem is solved by using the boundary element methods, which are based on the solutions of Flamant’s (BEMF) and Boussinesq’s (BEMB) problems. The cases of various lengths of implant diameter are considered. Stressed contours (isolines) in the jawbone are drafted and the results obtained by BEMF and BEMB for the different diameter implants are compared.

Keywords

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