An Analytic Analysis of the Diffusive-Heat-Flow Equation for Different Magnetic Field Profiles for a Single Magnetic Nanoparticle.

Brenda Dana, Israel Gannot

Research output: Contribution to journalArticlepeer-review

Abstract

This study analytically analyzes the changes in the temperature profile of a homogenous and isotropic medium having the same thermal parameters as a muscular tissue, due to the heat released by a single magnetic nanoparticle (MNP) to its surroundings when subject to differentmagnetic field profiles. Exploring the temperature behavior of a heated MNPcan be very useful predicting the temperature increment of it immediate surroundings. Therefore, selecting the most effective magnetic field profile (MFP) in order to reach the necessary temperature for cancer therapy is crucial in hyperthermia treatments. In order to find the temperature profile caused by the heated MNP immobilized inside a homogenous medium, the 3D diffusive-heat-flow equation (DHFE) was solved for three different types of boundary conditions (BCs). The change in the BC is caused by the different MF profiles (MFP), which are analyzed in this article. The analytic expressions are suitable for describing the transient temperature response of the medium for each case. The analysis showed that the maximum temperature increment surrounding the MNP can be achieved by radiating periodic magnetic pulses (PMPs) on it, making this MFP more effective than the conventional cosine profile.
Original languageEnglish
Pages (from-to)1-22
Number of pages22
JournalJournal of Atomic, Molecular & Optical Physics
DOIs
StatePublished - 1 Jan 2012

Keywords

  • HEAT equation
  • MAGNETIC fields
  • MAGNETIC nanoparticles
  • TISSUE analysis
  • CANCER treatment
  • THERMOTHERAPY
  • BOUNDARY value problems

Fingerprint

Dive into the research topics of 'An Analytic Analysis of the Diffusive-Heat-Flow Equation for Different Magnetic Field Profiles for a Single Magnetic Nanoparticle.'. Together they form a unique fingerprint.

Cite this