Nonlinear energy dissipation of magnetic nanoparticles in oscillating magnetic fields

Soto-Aquino, Denisse; Rinaldi, Carlos

doi:10.1016/j.jmmm.2015.05.009

Cited by 29 publications

(22 citation statements)

References 36 publications

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“…This heat dissipation occurs either due to internal rotation of the magnetic dipole (Néel relaxation) or due to physical rotation of the particles (Brownian relaxation) [22, 29, 30]. Regardless of the mechanism, thermodynamic arguments show that the average rate of energy dissipation per cycle of period 2 p is given by [22, 28]…”

Section: Theorymentioning

confidence: 99%

“…In the analysis of Rosensweig [22], and Soto-Aquino and Rinaldi [28], the instantaneous magnetic field was simply given by a sinusoidal function. However, in the case considered here the instantaneous field will depend on the position of the particles relative to the so-called field-free region (FFR, the location where the bias of the selection magnetic field gradient is zero) and will consist of a bias field H b and a superimposed sinusoidal magnetic field H ex , as illustrated in Fig.…”

Section: Theorymentioning

confidence: 99%

“…However, the models by Rosensweig [22] and Murase et al [20] are only valid in the small field amplitude limit and do not take into account the dependence of relaxation time on amplitude of the magnetic field, which becomes relevant for the field amplitudes and frequencies typically used to image in MPI and to actuate heating of magnetic nanoparticle. [27] Recently, Soto-Aquino and Rinaldi [28] applied the ferrohydrodynamics equations, used to describe the behavior of magnetic nanoparticle suspensions known as ferrofluids, to obtain theoretical predictions of the effect of field-dependent relaxation time on the SAR of magnetic nanoparticles under conditions typically used in magnetic fluid hyperthermia (MFH). Here, we extend the work of Soto-Aquino and Rinaldi [28] to the situation of MNP’s in a selection magnetic field gradient representative of conditions achievable with current MPI technology and under AMFs representative of the “excitation” and “actuation” field/frequency ranges to obtain theoretical predictions of the spatial focusing of SAR using selection magnetic field gradients representative of those used in MPI.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical predictions for spatially-focused heating of magnetic nanoparticles guided by magnetic particle imaging field gradients

Dhavalikar

Rinaldi

2016

Journal of Magnetism and Magnetic Materials

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Magnetic nanoparticles in alternating magnetic fields (AMFs) transfer some of the field’s energy to their surroundings in the form of heat, a property that has attracted significant attention for use in cancer treatment through hyperthermia and in developing magnetic drug carriers that can be actuated to release their cargo externally using magnetic fields. To date, most work in this field has focused on the use of AMFs that actuate heat release by nanoparticles over large regions, without the ability to select specific nanoparticle-loaded regions for heating while leaving other nanoparticle-loaded regions unaffected. In parallel, magnetic particle imaging (MPI) has emerged as a promising approach to image the distribution of magnetic nanoparticle tracers in vivo, with sub-millimeter spatial resolution. The underlying principle in MPI is the application of a selection magnetic field gradient, which defines a small region of low bias field, superimposed with an AMF (of lower frequency and amplitude than those normally used to actuate heating by the nanoparticles) to obtain a signal which is proportional to the concentration of particles in the region of low bias field. Here we extend previous models for estimating the energy dissipation rates of magnetic nanoparticles in uniform AMFs to provide theoretical predictions of how the selection magnetic field gradient used in MPI can be used to selectively actuate heating by magnetic nanoparticles in the low bias field region of the selection magnetic field gradient. Theoretical predictions are given for the spatial decay in energy dissipation rate under magnetic field gradients representative of those that can be achieved with current MPI technology. These results underscore the potential of combining MPI and higher amplitude/frequency actuation AMFs to achieve selective magnetic fluid hyperthermia (MFH) guided by MPI.

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Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theoretical predictions for spatially-focused heating of magnetic nanoparticles guided by magnetic particle imaging field gradients

Dhavalikar

Rinaldi

2016

Journal of Magnetism and Magnetic Materials

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“…The last equations system can be solved numerically for defined system parameters. The average value of the power loss for the uniform mode can be found using (19) and (4) as follows…”

Section: Circularly Polarized Magnetic Fieldmentioning

confidence: 99%

“…Therefore, a simplified model, where the internal magnetic dynamics is neglected, is currently widely used [16,17,18,19,18,20,21]. Within this framework, due to the strong anisotropy, the magnetic moment is supposed to be fixed to the nanoparticle easy axis.…”

Section: Introductionmentioning

confidence: 99%

Dynamics and energy dissipation of a rigid dipole driven by the RF-field in a viscous fluid: Deterministic approach

Lyutyy

2018

Eur. Phys. J. E

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The deterministic rotation of a ferromagnetic nanoparticle in a fluid is considered. The heating arising from viscous friction of a nanoparticle driven by circularly and linearly polarized alternating magnetic fields is investigated. Since the power loss of such fields depends on the character of the induced motion of a nanoparticle, all types of particle trajectories are described in detail. The dependencies of the power loss on the alternating field parameters are determined. The optimal conditions for obtaining the maximum heating efficiency are discussed. The effect of heating enhancement by a static field is analyzed. The results obtained are actual for the description of heating in the magnetic fluid hyperthermia cancer treatment, when the size of the particles used is a few tens of nanometers.

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Magnetic Nanoparticle Relaxation in Biomedical Application

Engelmann

Shasha

Slabu

2021

Magnetic Nanoparticles in Human Health and Medicine

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Nonlinear energy dissipation of magnetic nanoparticles in oscillating magnetic fields

Cited by 29 publications

References 36 publications

Theoretical predictions for spatially-focused heating of magnetic nanoparticles guided by magnetic particle imaging field gradients

Theoretical predictions for spatially-focused heating of magnetic nanoparticles guided by magnetic particle imaging field gradients

Dynamics and energy dissipation of a rigid dipole driven by the RF-field in a viscous fluid: Deterministic approach

Magnetic Nanoparticle Relaxation in Biomedical Application

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