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Targeted inductive heating of nanomagnets by combined AC and static magnetic field Ming Ma, Yu Zhang( ), Xuli Shen, Jun Xie, Yan Li, Ning Gu( ) Nano Res., Just Accepted Manuscript DOI 10.1007/s12274-015-0730-1 http://www.thenanoresearch.com on January 28, 2015 © Tsinghua University Press 2015 Just Accepted This is a “Just Accepted” manuscript, which has been examined by the peer-review process and has been accepted for publication. A “Just Accepted” manuscript is published online shortly after its acceptance, which is prior to technical editing and formatting and author proofing. Tsinghua University Press (TUP) provides “Just Accepted” as an optional and free service which allows authors to make their results available to the research community as soon as possible after acceptance. After a manuscript has been technically edited and formatted, it will be removed from the “Just Accepted” Web site and published as an ASAP article. Please note that technical editing may introduce minor changes to the manuscript text and/or graphics which may affect the content, and all legal disclaimers that apply to the journal pertain. In no event shall TUP be held responsible for errors or consequences arising from the use of any information contained in these “Just Accepted” manuscripts. To cite this manuscript please use its Digital Object Identifier (DOI®), which is identical for all formats of publication. Nano Research DOI 10.1007/s12274-015-0730-1

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  • Nano Res

    1

    Targeted inductive heating of nanomagnets by

    combined AC and static magnetic field

    Ming Ma, Yu Zhang( ), Xuli Shen, Jun Xie, Yan Li, Ning Gu( )

    Nano Res., Just Accepted Manuscript DOI 10.1007/s12274-015-0730-1

    http://www.thenanoresearch.com on January 28, 2015

    Tsinghua University Press 2015

    Just Accepted

    This is a Just Accepted manuscript, which has been examined by the peer-review process and has been

    accepted for publication. A Just Accepted manuscript is published online shortly after its acceptance,

    which is prior to technical editing and formatting and author proofing. Tsinghua University Press (TUP)

    provides Just Accepted as an optional and free service which allows authors to make their results available

    to the research community as soon as possible after acceptance. After a manuscript has been technically

    edited and formatted, it will be removed from the Just Accepted Web site and published as an ASAP

    article. Please note that technical editing may introduce minor changes to the manuscript text and/or

    graphics which may affect the content, and all legal disclaimers that apply to the journal pertain. In no event

    shall TUP be held responsible for errors or consequences arising from the use of any information contained

    in these Just Accepted manuscripts. To cite this manuscript please use its Digital Object Identifier (DOI),

    which is identical for all formats of publication.

    Nano Research DOI 10.1007/s12274-015-0730-1

  • TABLE OF CONTENTS (TOC)

    Targeted inductive

    heating of nanomagnets

    by combined AC and

    static magnetic field

    Ming Ma, Yu Zhang*,

    Xuli Shen, Jun Xie, Yan

    Li, Ning Gu*

    Southeast University,

    China

    .

    Combined AC and static magnetic field was used to restrict the hyperthermia heating area

    and reduce the side effect in the magnetic field inductive hyperthermia of

    nanomagnets.

  • Targeted inductive heating of nanomagnets by

    combined AC and static magnetic field

    Ming Ma, Yu Zhang( ), Xuli Shen, Jun Xie, Yan Li, Ning Gu( )

    Received: day month year

    Revised: day month year

    Accepted: day month year

    (automatically inserted by

    the publisher)

    Tsinghua University Press

    and Springer-Verlag Berlin

    Heidelberg 2014

    KEYWORDS

    Hyperthermia; magnetic

    nanoparticles; static

    magnetic field; alternating

    magnetic field; Mn-Zn

    ferrite

    ABSTRACT

    The conversion of electromagnetic energy into heat by nanomagnets has the

    potential to be a powerful, non-invasive technique for cancer therapy by

    hyperthermia and hyperthermia-based drug release, while temperature

    controllability and targeted heating are the challenges to intensive application

    of such magnetic inductive hyperthermia. This study was designed to control

    the hyperthermia position and area using combined alternating current (AC)

    and static magnetic field. At first, MnZn ferrite (MZF) nanoparticles which

    exhibited excellent hyperthermia properties were prepared and characterized

    as inductive heating mediator. We built model static magnetic fields simply

    using a pair of permanent magnets and studied the static magnetic field

    distributions by measurements and numerical simulations. The influence of the

    transverse static magnetic fields on hyperthermia properties was then

    investigated on MZF magnetic fluid, gel phantoms and SMMC-7721 cells in

    vitro. Results show static magnetic field can inhabit the temperature rising of

    MZF nanoparticle in AC magnetic field. But in the uneven static magnetic field

    formed by magnet pair with repellent poles face-to-face, heating area can be

    restricted in central low static field; meanwhile the side effect of hyperthermia

    can be reduced by surrounding high static field. It means we can position the

    hyperthermia area, protect the non-therapeutic area, and reduce the side effects

    just using well-designed combined AC and static field.

    1 Introduction

    When magnetic nanoparticles (MNPs) are subject to

    an alternating magnetic field, the dissipated

    magnetic energy can be converted into thermal

    energy to lead the particle be a heating source [1, 2].

    The temperature enhancement of the magnetic

    nanoparticles under the external alternating

    magnetic field (AMF) has found applications in

    many fields, such as thermosensitive polymers [3],

    cancer therapy by hyperthermia [4], and

    hyperthermia-based drug release [5]. Hyperthermia

    is recognized as an alternative treatment that can be

    delivered alone or as an adjunct to radiation and/or

    chemotherapy to treat cancer [6]. So far,

    hyperthermia has successfully been used in the

    context of multimodality treatment schedules for

    Nano Research DOI (automatically inserted by the publisher)

    Address correspondence to Yu Zhang, [email protected]; Ning Gu, [email protected]

    Review Article/Research Article Please choose one

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    2 Nano Res.

    recurrent breast, head, and neck or skin malignancies.

    MNPs-based hyperthermia treatment has a number

    of advantages compared to conventional

    hyperthermia treatment. Nontoxicity,

    biocompatibility, high-level accumulation in the

    target tumor and effective absorption of the energy of

    AMF are the merits of MNPs-based hyperthermia.

    Temperature controllability and targeted heating are

    all the challenges to the MNPs-based hyperthermia

    and magnetically modulated controlled drug delivery.

    The targeted treatments can be made possible if the

    magnetically induced hyperthermia is combined

    with MRI-based location or magnetic targeting of

    tumors which both need to use static magnetic field

    [7, 8]. The power generated by the MNPs is evaluated

    by the specific losses or, more commonly used, by

    their specific absorption rate (SAR), which may vary

    by orders of magnitude in dependence on structural

    and magnetic properties on the one hand, and

    amplitude and frequency of the external alternating

    magnetic field, on the other. But a few theoretical and

    experimental works have pointed out that the

    presence of a static magnetic field could influence on

    the magnetic hyperthermia properties or SAR of

    MNPs [9-11]. According to the theoretical studies

    reported by P. Djardin et al. [11], for

    superparamagnetic particles, the static field changes

    substantially the nonlinear magnetization dynamics,

    primarily the behavior of the reversal time of the

    magnetization and frequency max, where the

    imaginary part of the complex susceptibility reaches

    a maximum; for anisotropic single-domain particles,

    a bias static field of a small value can strongly affect

    the shape of the dynamics magnetic hysteresis loop.

    This result implies that using weak changes of the

    static bias field magnitude one may effectively

    control the heat production (SAR) in a magnetic

    nanosystem working as a hyperthermia source. It

    seems the result is pessimistic on the pursuit of

    enhanced emagnetic hyperthermia property of MNPs.

    But it also raises a possibility that we can position the

    therapeutic area and control treatment temperature

    by regulating the strength of combined static

    magnetic fields of the therapeutic area in a magnetic

    hyperthermia nanosystem. Moreover, we can use a

    well-designed static magnetic field to protect the

    non-therapeutic area and reduce the side effects on

    the normal tissue.

    In the present paper, we prepared MnZn ferrite (MZF)

    nanoparticles which exhibited excellent

    hyperthermia properties in alternating current (AC)

    magnetic field. We built two model static magnetic

    fields simply using a pair of permanent magnets:

    near-uniform transverse static magnetic field in the

    central area of magnet pair with two attractive poles

    face-to-face; uneven static magnetic field of magnet

    pair with two repellent poles face-to-face, where

    magnetic field intensity is near zero in the central

    point between two magnet poles and the surround

    gradually increases. We studied the two static

    magnetic field distributions by measurements and

    numerical simulations. The influence of the

    transverse static magnetic field on magnetic

    hyperthermia properties was then investigated by

    temperature measurements of MZF magnetic fluid

    and gel phantoms. To achieve the aims of controlling

    hyperthermia region and eliminating side effect, we

    superposed the above mentioned uneven static

    magnetic field to the AC magnetic field induced

    hyperthermia area of MZF gel phantoms and cell

    suspensions. The temperatures and cell killing effect

    of cell suspensions at different regions were

    measured and compared. We show, magnetic

    hyperthermia by combined AC and static magnetic

    field can be a new choice to the targeted regional

    hyperthermia treatment system while we have an

    excellent magnetic nanoparticle as heating mediator.

    2 Experimental section

    2.1 Synthesis of hydrophobic MnZn ferrite

    nanoparticles.

    The synthesis was carried out under an oxygen free

    atmosphere in a 50ml three-neck round bottom flask.

    MnCl2 (30 mM), ZnCl2 (20 mM), oleic acid (0.3 M),

    oleylamine (0.3 M) and octadecene (20 ml) were

    mixed and stirred under the flow of nitrogen at room

    temperature. The mixture was then heated to 110 C

    under nitrogen atmosphere and maintained at this

    temperature for 1 h to remove the water and HCl in

    solution. Then 2mmol Fe(acac)3 was added as

    precursor and heated to 200 C for 30min. The

    reaction temperature was then increased to a reflux

    temperature(~290 C) at different heating rate (3.3 C

    /min, 6.6 C /min and 10 C /min) and the reflux

    continues for 30min during which the colour of the

    solution slowly turns from brown to black. The

    blackbrown mixture was cooled to room

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    3 Nano Res.

    temperature and then precipitated with 40 mL of

    ethanol; it was then separated using a magnet. The

    solvent and nonmagnetic suspension were decanted,

    and the precipitate was washed once with acetone,

    and separated again by centrifugation to remove

    excess surfactants. Finally the product was dispersed

    in hexane.

    2.2 Hydropholic MnZn ferrite nanoparticles.

    A hexane dispersion of hydrophobic MZF

    nanoparticles (about 50 mg in 10 mL) was added to a

    suspension of DMSA (about 25 mg in 10mL) in

    acetone. The mixture was shaken at 60 C for 4 h. The

    product was precipitated then washed twice with

    ethanol carefully and dispersed in deionized water

    (18 M).

    2.3 Nanoparticle Characterization.

    Particles were imaged using a transmission electron

    microscopy (TEM, JEM-200CX, 200 kV). X-ray

    powder diffraction patterns of the particle assemblies

    were collected on a Rigaku D/Max-RA diffractometer

    under Cu KR radiation. The elemental analysis was

    carried out using energy dispersive X-ray

    spectroscopy (EDS) analyzer connected with the

    scanning electron microscope (SEM). Magnetic

    studies were carried out using a Lakeshore 7404

    vibrating sample magnetometer (VSM).

    2.4 Inductive heating of MZF magnetic fluid in AC

    magnetic field.

    Inductive heating was accomplished by positioning

    the MZF magnetic fluid (DMSA-modified MZF

    nanoparticles dispersed in aqueous with different

    MZF concentrations) sample in an alternating

    magnetic field (50kHz, 34kA/m). The equipment

    consisted of a high-frequency generator, a

    water-cooled inductive coil with a diameter of 3 cm

    with 3 loops. An optical fiber thermometer was used

    for temperature measurement.

    The specific absorption rate (SAR) was deduced from

    the initial linear rise in temperature (plain line)

    versus time, dT/dt, normalized to the mass of

    magnetic material and the heat capacity of the

    sample, which can be expressed as

    where C is the volumetric specific heat capacity of

    the sample, Vs is the sample volume, and m is the

    mass of magnetic material in the sample.

    2.5 Numerical simulations and measurements of the

    static magnetic fields.

    Finite element methods were used to solve the

    magneto-static problem numerically. We computed

    the static magnetic fields from pair of permanent

    magnets in the 2D axial symmetry space dimension

    using the AC/DC module of the COMSOL

    Multiphysics software (Version 3.5a, COMSOL Inc.,

    Burlington, MA). The numerical model applied in the

    simulations is described in detail in elsewhere[12].

    COMSOL computes the magnetic field B and its

    components in a region of interest, which can be

    exported from the program.

    Corresponding to the simulations, we built two static

    magnetic fields simply using a pair of NdFeB

    permanent magnets (404020): attractive poles

    face-to-face or repellent poles face-to-face. The

    static magnetic field intensities were measured by a

    teslameter.

    2.6 Inductive heating of MZF magnetic fluid in

    combined AC and static magnetic field.

    Combined AC and static magnetic field were

    constructed with two NdFeB permanent magnets

    placed symmetrically on both side of the inductive

    coil with attractive poles face-to-face (Fig. 1(a)). The

    static magnetic field intensity in the centre of the coil

    was changed by changing the distance between two

    permanent magnets. MZF magnetic fluid

    concentration is 1.5 mg/mL. The alternating magnetic

    field is 50kHz, 34kA/m. The temperature of MZF

    magnetic fluid was monitored during the process of

    magnetic field irradiation.

    2.7 Heat generation of MZF-doped gel phantoms.

    Agarose solution (1%) was mixed with the MZF at

    concentration of 1mg/mL. MZF-agarose solution was

    then drawn and hardened in a 1-mL syringe tube.

    The tube filled with MZF-agarose gel was placed

    inside the coil (Fig. 1(b)). Two NdFeB permanent

    magnets placed symmetrically on both sides of upper

    and lower of the coil in distance of 140mm.

    Temperature of the gel phantom was measured by a

    portable precision infrared radiation thermometer

    (Fluke, Ti32 ) 10 min after the phantom was placed in

    the combined AC and static magnetic field. The static

    magnetic field intensities in point A, B and C (Figure

    1B right) were measured.

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    4 Nano Res.

    2.8 Cell culture and hyperthermia in vitro.

    The cell line SMMC-7721(a human liver carcinoma

    cell line) was used. The cells were maintained at 37C

    in a 5% CO2 atmosphere in Dulbeccos modified

    Eagles medium (Gibco) supplemented with 10% fetal

    bovine serum.

    The cells were washed with PBS under gentle

    shaking and detached by trypsin treatment. MZF

    nanoparticles were sterilized by filtration. The cells (1

    108) were collected as cell pellets and suspended

    with 100L MZF-containing medium (1mg/mL MZF)

    in 250-L micro tubes. The micro tubes with cell

    suspensions were placed in the coil for magnet

    irradiation. After magnetic irradiation for 40min, the

    MZF-containing medium was carefully removed by

    centrifugation. The cells were re-suspended in fresh

    medium and seeded into 96-well plate (Corning

    Glass) with 104 cells per well and incubated at 37C

    for 24h. Then MTT assay was carried out to test the

    cell viability. 20l of MTT-solution (5 mg MTT/mL

    phosphate-buffered saline) (Sigma), was then added

    to each well, followed by 4 hours incubation in

    darkness. The test solution was decanted, and 150L

    of DMSO was added to solubilize the cells. The

    resultant solutions were measured in a microplate

    reader (TECAN, Infinite 200) at 590. Cell viability

    was determined by the formula: cell viability (%) =

    (absorbance of the treated wells - absorbance of the

    blank control wells) / (absorbance of the negative

    control wells - absorbance of the blank control wells)

    100%. The negative control cells were not exposed

    to the magnetic field. Experiments were performed in

    triplicates. Further details on the MTT-test are

    provided in a previous study [13] .

    3 Results and discussion

    3.1 Characterization of nanoparticles.

    Monodisperse MnZn ferrite (MZF) nanoparticles

    were prepared by the well-known thermal

    decomposition method. To date, the thermal

    decomposition method is very promising technique

    to fabricate high-quality superparamagnetic and

    monodisperse iron oxide nanoparticles [14]. Typically,

    this method involves decomposition of Fe(acac)3 in a

    high-boiling solvent in the presence of surfactants

    such as oleic acid and oleylamine. The morphology

    of the prepared MnZn ferrite nanoparticles is shown

    by the TEM image in Fig. 2(a). Nanoparticles are

    roughly spherical shapes mostly, and a few parts are

    octahedral shapes. Figure 2(b) shows the

    nanoparticles size distribution, where the average

    diameter is 17nm with = 2 nm obtained using a

    Figure 1. Schematic of the experimental setup of combined AC and static magnetic field for heating MZF magnetic fluid (a)

    and MZF gel phantom(b). All testing samples were placed inside an inductive coil which was connected to an AC magnetic

    field generator and cooled by running water. A pair of NdFeB permanent magnets placed two sides of the inductive coil

    face-to-face to form the static magnetic field.

    (a)

    (b)

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    5 Nano Res.

    Gaussian fit. Figure 2(c) shows the typical XRD

    pattern of prepared MZF nanoparticles. As shown in

    the figure, the position and the relative intensity was

    matched well to the series of Bragg reflections

    corresponding to the spinel structure.

    EDS was used to determine the chemical composition

    of the obtained MnZn ferrite nanoparticles. The

    result from EDS spectra shows that the nanoparticles

    contain Fe, O, Mn and Zn, and no contamination

    element is detected. The atomic ratio of Fe:Mn:Zn is

    about 17.8:1.1:1.0, indicating that the chemical

    formula of the as-synthesized MnZn ferrite is

    unstoichiometric in nature. The chemical formula of

    the MZF is determined to be Mn0.17Zn0.15Fe2.68O4

    according this measured atomic ratio.

    The magnetic properties were measured by the VSM

    at room temperature as shown in Fig. 2(d). The

    saturation magnetization value Ms of the as-prepared

    MZF nanoparticles is 102.5 emug-1, and the

    coercivity value Hc for the samples is 91 Oe. It is well

    known that the saturation magnetization of bulk

    Fe3O4 is about 85 - 100 emu/g [15]. In present study,

    the saturation magnetization of the MZF

    nanoparticles is larger than that of bulk Fe3O4. We

    propose that the off-stoichiometric chemical

    composition of MnZn ferrite particles may further

    lead to a change of the structure of as-prepared

    particles to mixed spinel type. The rich Fe3+ in our

    samples (the molar ratio of Fe/Zn is about 17.9,

    Fe/Mn is 15.8) may result in more Fe3+ ions in the B

    site, making the materials more ferrimagnetic and of

    higher saturation magnetization [16]. Here the B sites

    are occupied by Mn2+xFe3+1.32-xFe2+0.68(0

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    6 Nano Res.

    axis, the axis of symmetry between the two magnets.

    Figure 3(d) compares the measured and computed

    data of the static magnetic fields at the point centered

    between the magnets with different magnets distance.

    The numerical calculations show excellent agreement

    with the experimental measurements. We make

    several observations: For two symmetrical mutual

    repellent poles face-to-face, the field is zero in the

    center between the magnets (as is to be expected

    from symmetry considerations), maximal at the

    magnets surface, and then decays approximately

    exponentially with increasing distance from the

    magnets surface. For two attractive poles face-to-face,

    likewise, the field is minimal at the center between

    the magnets and maximal at the magnets surface,

    there is a region in the center between two poles

    where the magnetic field is parallel and near uniform.

    And the magnetic field at the center decreases

    rapidly with increasing distance between the magnet

    pair.

    3.3 Heat generation of MZF magnetic fluid in

    combined AC and static magnetic field.

    Figure 4(a) displays typical experiments showing the

    evolution of temperature as a function of time T(t) for

    MZF magnetic fluid with different concentrations in

    AC magnetic field of 50kHz, 34kA/m. However, the

    estimated values of SAR were determined to be

    essentially independent of the amount of MZF. The

    temperature increase with time for MZF magnetic

    fluid (concentration of 1.5mg/mL) after application of

    Figure 3. Finite element simulations of magnetic field of magnets with two attractive poles (a) and two repellent poles (b)

    face-to-face. Numerical 2-dimensional calculations were carried out in COMSOL. The graphs show color-coded iso-contour of the

    magnetic flux density (unit: mT). The local direction of the magnetic field B is indicated by the cyan arrows. (d) Magnetic fields as a

    function of distance from the center of magnet pair along the x axis ( y = 0 ). Solid black line shows the results of calculations of

    magnets with two attractive poles while blue dashed line shows the calculation results of magnets with two repellent poles. Scattered

    data points (black square and blue triangle) are from measurements of the two magnetic fields with a Teslameter. (d)Central static

    magnetic fields (x = 0, y = 0) as a function of distance of attractive magnet pair. Solid black line and scattered data points (blue square) are from calculations and measurements respectively.

    -0.05 0.00 0.050

    10

    20

    30

    40

    50

    60

    70

    Ma

    gn

    eti

    c f

    ield

    (m

    T)

    x (m) 0.016 0.020 0.0245

    10

    15

    20

    Mag

    neti

    c F

    ield

    (m

    T)

    Magnets distance (m)

    x

    y

    x

    y

    (a) (b)

    (c) (d)

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    7 Nano Res.

    combined AC and static magnetic field schematized

    in Fig. 1(a) is shown in Fig 4(b). The static magnetic

    field was formed by a pair of NdFeB permanent

    magnets placed two sides of the inductive coil of AC

    magnetic field with attractive poles face-to-face. As

    shown in Fig. 3(d), the static magnetic field intensity

    in the coil was near-uniform which was adjusted by

    change the distance between the two magnets. SAR

    values as a function of static magnetic field intensity

    are summarized in Fig. 4(c). They display a sharp

    decrease of SAR as increasing the static magnetic

    field. A small static magnetic field of 5mT is enough

    to significantly inhabit the SAR value. The result

    agrees with the experimental and theoretical results

    on ferromagnetic 12.8nm FeCo nanoparticles

    reported by Carrys group[18]. They measured the

    high-frequency hysteresis loops when an alternating

    field and a transverse static magnetic field were

    applied together. Their measurement results show

    that a small static magnetic field can significantly

    reduce the hysteresis loop area, its squareness and

    the overall susceptibility of the sample. This result

    implies that using weak changes of the static bias

    field magnitude one may effectively control the heat

    production in a magnetic nanosystem working as a

    hyperthermia source.

    3.4 Heat generation of MZF gel phantom.

    MZF nanoparticles-doped agarose gel phantom was

    used here to simulate human or animal tissue. The

    thermograms of MZF gel phantoms heated with

    magnetic field are presented in Fig. 5(a). Figure 5(b)

    shows the temperature data collected along the

    phantoms centerline (Line L0) from thermal imagery.

    The central section of the phantom placed inside the

    coil was heated above 33.6 C and the maximum

    temperature reached 35.1C after 10min of irradiation

    on the AC magnetic field (phantom A, Fig. 5(a)). Two

    ends of the phantom outside the coil were heated at

    least 1.0 C above the background temperature by the

    attenuated edge AC magnetic field. Phantom C (Fig.

    5(a)) was irradiated in combined AC and static

    magnetic field of magnets with two attractive poles

    face-to-face. The static magnetic field magnitude at

    point A, B and C (see Fig. 5(a)) was measured as

    19.6mT, 22.5mT and 35.5mT respectively. The

    maximum temperature of phantom C was 33.3 C,

    1.8 C lower than phantom A. The edge temperature

    of phantom C was same with the background

    temperature. Obviously, the static magnetic field

    constrains the temperature rising of MZF gel

    phantom on AC magnetic field. Phantom B was

    irradiated in combined AC and static magnetic field

    of magnets with two repellent poles face-to-face.

    Different with attractive poles face-to-face, the static

    magnetic field at point A, B and C (see Fig. 1(b)) was

    measure as 0.1mT, 8.4mT and 27.1mT respectively.

    The maximum temperature of phantom B was

    34.7 C, only 0.4 C lower than phantom A, 1.4 C

    higher than phantom C. The edge temperature of

    phantom B was 30.0 C, only 0.4 C higher than

    background temperature. The low field in the central

    0 200 400 600 8000

    5

    10

    15

    20

    25

    30

    K

    Time(s)

    MZF 2mg/mL

    MZF 1.5mg/mL

    MZF 1mg/mL

    MZF 0.5mg/mL

    (a)

    0 200 400 600 8000

    5

    10

    15

    20

    25

    T

    (K

    )

    Time (S)

    0mT

    5mT

    7mT

    9mT

    15mT

    (b)

    0 5 10 15

    50

    100

    150

    SA

    R (

    W g

    -1)

    Statics Magnetic Field (mT)

    (c)

    Figure 4. Heat generation of MZF magnetic fluid on

    combined AC and static magnetic field. (a) Temperature vs

    time curves of MZF magnetic fluid on different static

    magnetic field; (b)Decrease of SAR value with static

    magnetic field. MZF magnetic fluid concentration is 1mg/mL.

    The AC magnetic field is 50kHz, 34kA/m.

  • | www.editorialmanager.com/nare/default.asp

    8 Nano Res.

    region of the static magnetic field constructed with

    two repellent poles face-to-face cannot constrain the

    central temperature rising of MZF gel phantom

    effectively. But, surround high field can constrain the

    edge temperature rising, which can be clearly seen by

    comparing phantom A and B.

    Visually, we obtain good fits to these temperature

    distributions with the Gaussian ,

    where T is the temperature at Line L0, T0, T1, x0 and

    are constants. The parameter T1 is the height of the

    curve's peak, x0 is the position of the center of the

    peak, and (the standard deviation) controls the

    width of the curve. For phantom A, B and C, T1 is

    4.85, 4.57 and 4.20 respectively, implying temperature

    difference between center and edge of MZF magnetic

    phantom in the three magnetic fields. The parameter

    is related to the full width at half maximum

    (FWHM) of the peak according to .[19]

    Here, FWHM is 32.0, 24.3 and 32.8mm respectively

    for phantom A, B and C. Obviously, phantom A and

    C have similar FWHM. Only the FWHM of phantom

    B is significantly less than that of the other two

    phantoms, and closed to the width of heating region

    of the coil (20mm). It means that we can control of

    therapeutic area and reduce of side effect of

    hyperthermia with the combined AC and static

    magnetic field.

    3.5 Hyperthermia in vitro with SMMC-7721 cell.

    Heat generation in tumor cells SMMC-7721 was then

    studied. Two micro tubes with MZF magnetic

    nanoparticles and SMMC-7721 cell suspensions were

    placed in the inductive coil according to the

    arrangement shown in Fig. 6(a). A pair of permanent

    magnets was placed two sides of the coil to form the

    static magnetic field. The thermographics images of

    SMMC-7721 cell suspension in micro tubes after

    magnetic field irradiation are shown in Fig. 6(c) and

    (d). The temperature of the cell suspension

    incorporating MZF magnetic nanoparticles was

    raised from 33.7 C (control, Fig. 6(c)) to 44.0 C

    (AMF, Fig. 6(c)) after 40min of AC magnetic

    field(AMF) irradiation (without static magnetic field)

    and kept constant. These conditions seemed to be

    sufficient for hyperthermia, as shown by the study of

    the cell killing effect (Fig. 6(b)). Indeed, when an AC

    magnetic field was applied to SMMC-7721 cells

    incorporating MZF magnetic nanoparticles, the cell

    viability decreased quickly to 61.5%. Then we

    applied the combined AC and static magnetic field

    arranged as Fig. 6(c) to heat the cells. Obviously, the

    two cell suspensions placed at #1 and #2 separately

    had distinctive different temperature rising in the

    Figure 5. (a)The thermographics images of MZF gel phantoms taken 10 min after heated on an AC magnetic field (phantom A),

    combined AC magnetic field and static field of magnets with two repellent poles (phantom B) and two attractive poles face-to-face

    (phantom C). The background temperature is 29.6C. The length of the bar is 10mm. The box marks the section of the phantom

    placed inside the coil. (b) Temperature data collected along the phantoms centerline Line L0 (the white dash dot line marked by the

    arrow) from thermal imagery.

    (a)

    0 10 20 30 40 50

    30

    32

    34

    36

    Line L0 (mm)

    phantom A

    phantom B

    phantom C

    gauss fit

    Te

    mp

    era

    ture

    (oC

    )

    (b)

    Line L0

  • www.theNanoResearch.comwww.Springer.com/journal/12274 | Nano Research

    9 Nano Res.

    applied combined AC and static magnetic field. The

    temperature of cell suspension at #2 reached

    44.3 C(#2, Fig. 6(d)) after 40min of magnetic

    irradiation, identically to that irradiated by the AC

    magnetic field. However, the temperature of cell

    suspension at #1 reached 42.0 C(#1, Fig. 6(d)), 2.3 C

    lower than #2, though the distance between #1 and #2

    was only 15mm. Accordingly, the cell viability at #2

    was 53.6%, whereas the cell viability at #1 was 75.4%,

    there were statistically significant differences (p < 0.05). The results in vitro show the magnetic

    inductive hyperthermia can be located at a

    designated very small region just by applying a

    well-designed static magnetic field.

    4 Conclusion

    We investigated the inductive heating properties of

    prepared MnZn ferrite nanoparticle in combined AC

    and static magnetic field. The model static magnetic

    fields applied here were formed simply by a pair of

    NdFeB magnets. Its found the static magnetic field

    can inhabit the inductive temperature rising of

    nanomagnets in AC magnetic field. But, on the

    hyperthermia experiments of gel phantom and

    cancer cells in vitro, we took advantage of the results

    to control the hyperthermia heating area and position

    successfully using an uneven model static magnetic

    field formed by magnet pair with repellent poles

    face-to-face. The results imply magnetic inductive

    hyperthermia using combined AC and static

    magnetic field may be a feasible method to optimize

    and control a hyperthermia treatment with the

    objective to enhance treatment quality and

    documentation.

    Acknowledgements

    This research was supported by the National

    Important Science Research Program of China (No.

    2011CB933503, 2013CB733800), the National Natural

    Science Foundation of China (No. 31170959,

    61127002), the Jiangsu Provincial Special Program of

    0

    20

    40

    60

    80

    100

    120

    Comb

    ined M

    F 2#

    Ce

    ll V

    iab

    ility

    (%

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    Contr

    olAM

    F

    Comb

    ined M

    F 1#

    a

    b

    b

    c

    (a) (b)

    (c) (d)

    control #1 #2 AMF

    Figure 6. (a)Schematic of the experimental setup of combined AC and static magnetic field for heating cell suspensions. (b)

    MTT assay values for SMMC-7721 treated on AC magnetic field (AMF) and combined AC and static magnetic fie ld (combined

    MF #1 and #2 correspond to the tubes of cells which were placed at #1 and #2 inside the coil, respectively). Different letters

    means statistically significant differences at p < 0.05. (c), (d) The thermographics images of SMMC-7721 cell suspension in

    micro tubes. Control: the cell suspension was not irradiated by magnetic field. AMF: the cell suspension was irradiated by AC

    magnetic field for 40min. #1 and #2: the tubes of cells which were placed at #1 and #2 inside the coil and irradiated by the

    combined AC and static magnetic field for 40min.

  • | www.editorialmanager.com/nare/default.asp

    10 Nano Res.

    Medical Science (No. BL2013029), and the Jiangsu

    Provincial Technical Innovation Fund for Scientific

    and Technological Enterprises (No. BC2013011).

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