Transient solution to the bioheat equation and optimization for magnetic fluid hyperthermia treatment

Two finite concentric spherical regions were considered as the tissue model for magnetic fluid hyperthermia treatment. The inner sphere represents the diseased tissue containing magnetic particles that generate heat when an alternating magnetic field is applied. The outer sphere represents the healt...

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Veröffentlicht in:International journal of hyperthermia 2005-02, Vol.21 (1), p.57-75
Hauptverfasser: Bagaria, H. G., Johnson, D. T.
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container_title International journal of hyperthermia
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creator Bagaria, H. G.
Johnson, D. T.
description Two finite concentric spherical regions were considered as the tissue model for magnetic fluid hyperthermia treatment. The inner sphere represents the diseased tissue containing magnetic particles that generate heat when an alternating magnetic field is applied. The outer sphere represents the healthy tissue. Blood perfusion effects are included in both the regions. Analytical and numerical solutions of the one-dimensional bioheat transfer equation were obtained with constant and spatially varying heat generation in the inner sphere. The numerical solution was found to be in good agreement with the analytical solution. In an ideal hyperthermia treatment, all the diseased tissues should be selectively heated without affecting any healthy tissue. The present work optimized the magnetic particle concentration in an attempt to achieve the ideal hyperthermia conditions. It was found that, for a fixed amount of magnetic particles, optimizing the magnetic particle distribution in the diseased tissue can significantly enhance the therapeutic temperature levels in the diseased tissue while maintaining the same level of heating in the healthy tissue.
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G.</creatorcontrib><creatorcontrib>Johnson, D. T.</creatorcontrib><title>Transient solution to the bioheat equation and optimization for magnetic fluid hyperthermia treatment</title><title>International journal of hyperthermia</title><addtitle>Int J Hyperthermia</addtitle><description>Two finite concentric spherical regions were considered as the tissue model for magnetic fluid hyperthermia treatment. The inner sphere represents the diseased tissue containing magnetic particles that generate heat when an alternating magnetic field is applied. The outer sphere represents the healthy tissue. Blood perfusion effects are included in both the regions. Analytical and numerical solutions of the one-dimensional bioheat transfer equation were obtained with constant and spatially varying heat generation in the inner sphere. The numerical solution was found to be in good agreement with the analytical solution. 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source MEDLINE; Taylor & Francis:Master (3349 titles)
subjects Anesthesia. Intensive care medicine. Transfusions. Cell therapy and gene therapy
bioheat transfer equation
Biological and medical sciences
Blood. Blood and plasma substitutes. Blood products. Blood cells. Blood typing. Plasmapheresis. Apheresis
Humans
Hyperthermia
Hyperthermia, Induced - methods
Hyperthermia, Induced - standards
Intensive care medicine
magnetic dispersions
Magnetics
Medical sciences
Models, Biological
Neuropharmacology
Neuroprotective agent
Pharmacology. Drug treatments
Reproducibility of Results
separation of variables
Transfusions. Complications. Transfusion reactions. Cell and gene therapy
title Transient solution to the bioheat equation and optimization for magnetic fluid hyperthermia treatment
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