Understanding high-field amplitude electromagnetic heat loss phenomena is of great importance, in particular, in the biomedical field, because the heat-delivery treatment plans might rely on analytical models that are only valid at low field amplitudes. Here, we develop a nonlinear response model valid for single-domain nanoparticles of larger particle sizes and higher field amplitudes in comparison to the linear response theory. A nonlinear magnetization expression and a generalized heat loss power equation are obtained and compared with the exact solution of the stochastic Landau-Lifshitz-Gilbert equation assuming the giant-spin hypothesis. The model is valid within the hyperthermia therapeutic window and predicts a shift of optimum particle size and distinct heat loss field amplitude exponents, which is often obtained experimentally using a phenomenological allometric function. Experimental hyperthermia data with distinct ferrite-based nanoparticles and third harmonic magnetization data support the nonlinear model, which also has implications for magnetic particle imaging and magnetic thermometry.
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7 May 2017
Research Article|
May 02 2017
Giant-spin nonlinear response theory of magnetic nanoparticle hyperthermia: A field dependence study
M. S. Carrião;
M. S. Carrião
a)
1Instituto de Física,
Universidade Federal de Goiás
, 74690-900 Goiânia, GO, Brazil
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V. R. R. Aquino;
V. R. R. Aquino
1Instituto de Física,
Universidade Federal de Goiás
, 74690-900 Goiânia, GO, Brazil
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G. T. Landi;
G. T. Landi
2Departamento de Ciências Naturais e Humanas,
Universidade Federal do ABC
, 09210-580 Santo André, SP, Brazil
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E. L. Verde;
E. L. Verde
3Instituto de Ciências Exatas e da Terra,
Universidade Federal de Mato Grosso
, 3500 Pontal do Araguaia, MT, Brazil
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M. H. Sousa
;
M. H. Sousa
4Faculdade de Ceilândia,
Universidade de Brasília
, 72220-140 Brasília, DF, Brazil
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A. F. Bakuzis
A. F. Bakuzis
1Instituto de Física,
Universidade Federal de Goiás
, 74690-900 Goiânia, GO, Brazil
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a)
Author to whom correspondence should be addressed. Electronic mail: mscarriao@ufg.br
J. Appl. Phys. 121, 173901 (2017)
Article history
Received:
February 09 2017
Accepted:
April 14 2017
Citation
M. S. Carrião, V. R. R. Aquino, G. T. Landi, E. L. Verde, M. H. Sousa, A. F. Bakuzis; Giant-spin nonlinear response theory of magnetic nanoparticle hyperthermia: A field dependence study. J. Appl. Phys. 7 May 2017; 121 (17): 173901. https://doi.org/10.1063/1.4982357
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