APPLICATION OF HOMOTOPY PERTURBATION METHOD TO THE MATHEMATICAL MODELLING OF TEMPERATURE RISE DURING MICROWAVE HYPERTHERMIA

  • Erinle-Ibrahim L. Morenikeji
  • Ayeni O. Babajide
  • Idowu K Oluwatobi
Keywords: Biological tissue, perfusion, hyperthermia therapy, microwave, mathematical model

Abstract

We study a one dimensional non-linear model of multi-layered human skin exposed to microwave heating during cancer therapy. The model is analyzed using homotopy perturbation method and the fact that there are variations in specific heat, thermal conductivity and blood perfusion from one individual to another were considered. The purpose of this study was to investigate the effect of variable blood perfusion, microwave heating and thermal conductivity on the temperature field during microwave hyperthermia. By varying the parameters, we were able to determine maximum rise of temperature as an individual undergoes cancer therapy. The results were presented in graphs and it was discovered that the temperature of the tumor increases with increase in the microwave heating index while the blood perfusion remain constant.

References

Alexander, H.R.(Jr), Lawrence, T.S.,Rosenberg S.A., Cancer Principles and Practice of Oncology, (2008), 701-710.

Christen, M., Schenk O. and Bukhart H., Modelling, simulation and optimization of hyperthermia cancer treatment planning. (2007) http://fgh.informatik.unibas.ch

Erinle L.M., Effect of some parameters on temperature rise during microwave hyperthermia. M.tech Thesis LAUTECH, Ogbomoso, Nigeria, (2005).

Olanrewaju P.O., Ayeni, R.O. and Adebimpe O., Solving microwave heating model in a slab using shooting technique, Journal of Nigeria Association of Mathematical Physics, 11 (2007); 529-532.

Olayiwola R.O., Olabiyi S.O., Odebiyi O.A., Ndanusa A. and Momoh R.M., Modeling and simulation of Hyperthermia as a cancer treatment, International Journal of Science and Technology, (2012); 2224-3577
Published
2021-07-13
How to Cite
Morenikeji, E.-I. L., Babajide, A. O., & Oluwatobi, I. K. (2021). APPLICATION OF HOMOTOPY PERTURBATION METHOD TO THE MATHEMATICAL MODELLING OF TEMPERATURE RISE DURING MICROWAVE HYPERTHERMIA. FUDMA JOURNAL OF SCIENCES, 5(2), 273 - 282. https://doi.org/10.33003/fjs-2021-0502-645