Numerical Simulation of the Evolution of Wound Healing in the 3D Environment
J. N. Nchejane, S. O. Gbenro, M. E. Thakedi
Journal of Advances in Mathematics and Computer Science · pp. 20–30 · Published 2 Jun 2022
10.9734/jamcs/2022/v37i430445Abstract
Numerical simulation of the wound healing behaviour by considering the coupled reaction-diffusion, transport and viscoelastic system is vital in investigating the mechanical stress field induced by cell migration. In this work, numerical simulation is viewed in three-dimensional space during a time course of wound healing. Over the years, many authors have developed two-dimensional mathematical models of wound healing, as supported by the background in the introduction below. But we know that a three-dimensional case realistically captures the tissue deformations. The two-dimensional simulation is restricted to observing the motion in two directions only. Hence, the interest is in the three-dimensional case. Therefore, to our knowledge, this is the first article to consider the numerical simulation of the coupled reaction-diffusion, transport and viscoelastic system during wound healing in a three-dimensional environment. Firstly, the two-dimensional evolution of wound healing is developed to compare our results with published data. Then the work is extended to three-dimensional wound healing, which is the main focus.
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Cited by 1
Emmanuel Adegbemiro Areo, S. O. Gbenro, B.T. Olabode · Journal of Mathematical Analysis and Modeling · 2024
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