An Approach Using the Transfer Matrix Method (TMM) for Mandible Body Bone Calculus

Mihaela Suciu ()
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Mihaela Suciu: Department of Mechanical engineering, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2023, vol. 11, issue 2, 1-16

Abstract: This paper presents an original approach for mandible bone calculus by the Transfer Matrix Method (TMM). The role of the mandible bone is very important due to the three functions that it has: mastication, phonation and aesthetics. Due to these functions, there are many studies in this regard. The mandible bone is an unpaired bone and the only movable bone in the skull. For our studies, we separated a part of the mandible bone assimilated with a spring, and due to the symmetry we can only study a quarter of the circle, embedded at the two ends, charged perpendicular to its plane by a concentrated vertical load corresponding to a tooth which is on the studied side. This mandible side under study has eight teeth: two incisors, one canine, two premolars and three molars. The approach by the TMM is very easy to program, especially for extreme cases, when a quick calculus is needed to optimize the shape of the mandible. In the future we hope to be able to publish the calculation and shape optimization program and a related case study.

Keywords: mandible bone; mathematical model of body mandible; load density; state vector; transfer matrix of spring; Dirac’s function and operators; Heaviside’s function and operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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