A Computational Study on Magnetic Nanoparticles Hyperthermia of Ellipsoidal Tumors

Nickolas D Polychronopoulos,Apostolos A Gkountas,Ioannis E Sarris,Leonidas A Spyrou

doi:10.3390/app11209526

Nickolas D Polychronopoulos, Apostolos A Gkountas + Show 2 more

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https://doi.org/10.3390/app11209526

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Abstract

The modelling of magnetic hyperthermia using nanoparticles of ellipsoid tumor shapes has not been studied adequately. To fill this gap, a computational study has been carried out to determine two key treatment parameters: the therapeutic temperature distribution and the extent of thermal damage. Prolate and oblate spheroidal tumors, of various aspect ratios, surrounded by a large healthy tissue region are assumed. Tissue temperatures are determined from the solution of Pennes’ bio-heat transfer equation. The mortality of the tissues is determined by the Arrhenius kinetic model. The computational model is successfully verified against a closed-form solution for a perfectly spherical tumor. The therapeutic temperature and the thermal damage in the tumor center decrease as the aspect ratio increases and it is insensitive to whether tumors of the same aspect ratio are oblate or prolate spheroids. The necrotic tumor area is affected by the tumor prolateness and oblateness. Good comparison is obtained of the present model with three sets of experimental measurements taken from the literature, for animal tumors exhibiting ellipsoid-like geometry. The computational model enables the determination of the therapeutic temperature and tissue thermal damage for magnetic hyperthermia of ellipsoidal tumors. It can be easily reproduced for various treatment scenarios and may be useful for an effective treatment planning of ellipsoidal tumor geometries.

Highlights

IntroductionPublisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
The effective tumor parameters of magnetic nanoparticles (MNPs)-saturated tissue are nearly identical to tumor parameters without nanoparticles that are used in the model
The tumors were approximated as equal volume prolate and oblate spheroids of various aspect ratios, surrounded by a large spherical healthy tissue region

Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The most well-known techniques for cancer treatment are chemotherapy, radiation, immunotherapy and targeted therapy [1,2,3]. These treatments suffer from various severe side effects such as hair loss, nausea, infertility, nerve damage and general discomfort to the patient [3]. Hyperthermia is a widely studied treatment with a broad spectrum of applications ranging from cardiac ablation [4,5] to arterial low-density lipoprotein (LDL) deposition [6,7]

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