Page 36 - programme book

AM-009
Mathematical Modelling and Simulation of Periodontal Ligament using
COMSOL Multiphysics

Mahmoud Moustafa 1, a) , Muhammad Najib Roslly 1, b) , Zuhaila Ismail 1, c) , Nurul Aini Jaafar 1,
d) , Sharidan Shafie 1, e) and Norehan Mokhtar 2, f)

1 Department of Mathematical Sciences, Faculty of Science,
Universiti Teknologi Malaysia, Johor Bahru, 81310 Johor, Malaysia.
2 Dental Simulation and Virtual Learning Research Excellent Consortium,
Institut Pergigian dan Perubatan Termaju (IPPT), Universiti Sains Malaysia,
Bertam, 13200 Kepala Batas, Penang, Malaysia

a) mahmoudmoustafa949@gmail.com
b) najibroslly@gmail.com
c) zuhaila@utm.my
d) nurulaini.jaafar@utm.my
e) Corresponding author: sharidan@utm.my
f) norehanmokhtar@usm.my

Abstract. This paper investigated the mathematical modelling and simulation of periodontal
ligament using COMSOL Multiphysics. The behaviour of the periodontal ligament is studied. The
periodontal ligament is considered to be sandwiched between two approached parallel rigid
impervious plates. The governing equations and the specified boundary conditions are introduced to
describe a rectangular domain. The approximate analytical solution of the problem is verified
numerically by using COMSOL Multiphysics that is based on the finite element method. A 3D
realistic geometry is constructed using scans of human teeth. A detailed analysis of the stress and
displacement induced by a force is obtained.

Keywords: Tooth movement, Periodontal ligament, Stress analysis, COMSOL

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