Nonlinear Model for Magnetic Nanoparticle-Based Hyperthermia

Authors

Mohamed M. Sulman, Wright State University - Main CampusFollow
David F. Miller, Wright State University
Gregory Kozlowski, Wright State University - Main CampusFollow

Document Type

Article

Publication Date

2015

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Abstract

In this work, we use Pennes' nonlinear model to estimate the temperature distribution generated by electromagnetically excited nanoparticles and metabolic processes within a spherical tumour surrounded by a sphere of healthy tissue. We describe an efficient numerical approach to analyse the proposed nonlinear model for the heat transfer. Numerical results for the nonlinear bio-heat transfer model with the temperature dependent blood perfusion are presented, and compared with those of the traditional Pennes linear model with constant perfusion rate. We also investigate the dependence of tissue temperature and nanoparticle heat production on the volume fraction of nanoparticles.

Repository Citation

Sulman, M. M., Miller, D. F., & Kozlowski, G. (2015). Nonlinear Model for Magnetic Nanoparticle-Based Hyperthermia. International Journal of Mathematical Modelling and Numerical Optimisation, 6 (3), 223-234.
https://corescholar.libraries.wright.edu/physics/1552

DOI

10.1504/IJMMNO.2015.071871