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Biomedical applications of magnetic Biomedical applications of magnetic nanoparticles: nanoparticles: I: Drug delivery I: Drug delivery II: Electromagnetic radiation II: Electromagnetic radiation http//:ina.unizar.es

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Page 1: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

““Biomedical applications of magnetic Biomedical applications of magnetic nanoparticles:nanoparticles:

I: Drug deliveryI: Drug delivery””M.R. IbarraM.R. Ibarra1,21,2, R. Fern, R. Fernáándezndez--PachecoPacheco11, C. Marquina, C. Marquina22 and J.G and J.G ValdiviaValdivia11II: Electromagnetic radiationII: Electromagnetic radiation””G. F. GoyaG. F. Goya11, V. Graz, V. Grazúú11, C. Marquina, C. Marquina22, M. R. Ibarra, M. R. Ibarra1,21,211Instituto de Nanociencia de Instituto de Nanociencia de AragAragóónn, , 22Instituto de Instituto de CienciaCiencia de de MaterialesMateriales de de AragAragóónnZaragozaZaragoza (Spain)(Spain) http//:ina.unizar.es

Page 2: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

OUTLINE OF THE TALKOUTLINE OF THE TALK

-Introduction-Therapy based in magnetic hiperthermia-Diagnostic based in nuclear magnetic resonance effect: MRIBiomedical applications of magnetic nanoparticles II:Biomedical applications of magnetic nanoparticles II:

Electromagnetic radiationElectromagnetic radiation

Page 3: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Marcelo Knobel y Gerardo F. Goya , Scientific American. 31, DIC. 2004

Page 4: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles
Page 5: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

OUTLINE OF THE TALKOUTLINE OF THE TALK

-Introduction-Therapy based in magnetic hiperthermia-Diagnostic based in nuclear magnetic resonance effect: MRIBiomedical applications of magnetic nanoparticles II:Biomedical applications of magnetic nanoparticles II:

Electromagnetic radiationElectromagnetic radiation

Page 6: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Ara

gon

Inst

itute

of

Nan

osci

ence

A

rago

n In

stitu

te o

f N

anos

cien

ce --

INA

INA

What is hyperthermia?

Hyperthermia (thermal therapy or thermotherapy) is a type of cancer treatment in which body tissue is exposed to high temperatures (up to 45 °C ). Research has shown that high temperatures can damage and kill cancer cells, usually with minimal injury to normal tissues. By killing cancer cells and damaging proteins and structures within cells, hyperthermia may shrink tumors.

National Cancer Institute, USA

Page 7: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

• Loss separationThe formulation is the same for an alternating and rotating field

• Hysteresis lossRate of change of energy used to affect magnetic domain wall motion

• Eddy-current loss (classical eddy currents)Due to induced currents flowing in closed paths within magnetic material

eddyhysteresiscore PPP +=

Page 8: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

1. In NPs suspensions (@ RT), the Brownian relaxation in viscous media is2. Néel relaxation is TkVB HB ητ 3== Tk VKB MN exp0ττ

NB τττ111 +=

So the total (parallel) relaxation isR.E. Rosensweig, JMMM 252 (2002) 370.

Page 9: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

The “Bio-Heat Equation” ρt = tissue densityct = tissue specific heat capacity kt = thermal conductivity, TktTc ttt ∇⋅=

∂∂⋅⋅ρ

Page 10: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

QTTcwTkctT abbttt +−−∇=

∂∂ )(1 2

ρ

Pennes’ equation estimates the temperature field T(x,y,z,t) at nearby tissues

tFFFeS QtTmm

CSARρ

=

∆∆=

It relates to the functional definition of Specific Absorption Rate (SAR): amount of energy converted in energy per time and mass

ρt = tissue densityCt = tissue specific heat capacity Q = density of heat production rate, Ta = temperature at infinite distanceswb, = perfusion rate cb = blood specific heat capacity

Page 11: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

T = 46 º C

DW

LPT

FG250 kHz

700 VPP

SETUPSETUP

ININ

HYS

B

H

TMP

RGC

L123 kWG. F. Goya, V. Grazú and M.R. Ibarra, Current Nanoscience, 2007.

Page 12: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

-12 -9 -6 -3 0 3 6 9 12-2

-1

0

1

2

CDs

M (

x10-3

em

u)

H (kOe)

-10 -8 -6 -4 -2 0 2 4 6 8 10-4

-3

-2

-1

0

1

2

3

4

M (

x10-3

em

u)

H (kOe)

DCs DCs + FeC Difference

-10 -8 -6 -4 -2 0 2 4 6 8 10

-40

-20

0

20

40

H (kOe)

M (

emu/

g)

HC =244 Oe

FeCM

S =40.3 emu/g

G.F. Goya et al. J.Exp.Med, submitted

MAGNETIC CELLS

Page 13: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Before AfterBlankLoaded

Page 14: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

OUTLINE OF THE TALKOUTLINE OF THE TALK

-Introduction-Therapy based in magnetic hiperthermia-Diagnostic based in nuclear magnetic resonance effect: MRIBiomedical applications of magnetic nanoparticles II:Biomedical applications of magnetic nanoparticles II:

Electromagnetic radiationElectromagnetic radiation

Page 15: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Magnetic Resonance Imaging

• Non-invasive medical imaging method, like ultrasound and X-ray.

• Clinically used in a wide variety of specialties.

Abdomen Spine Heart / Coronary

Page 16: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Magnetic Resonance ImagingAdvantages:

– Excellent / flexible contrast

– Non-invasive– No ionizing radiation– Arbitrary scan plane

Challenges:– New contrast mechanisms

– Faster imaging

Page 17: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

MRI Systems

At $2 million, the most expensive equipment in the hospital…

Page 18: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Magnetic Resonance Imaging (MRI)-Based on the magneticrelaxation of hydrogen waterprotons in tissues

-Resonance phenomena havedifferent relaxation time depending of the active tissueunder a radiofrequencysignal. The radiation emiteddue to the relaxation can be detected and espatiallylocalized within the bodygiving rise to contrast imaging

-The constrast is enhanced by paramagnetic orsuperparamagneticnanovectors

Page 19: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Magnetic Resonance• Certain atomic nuclei including 1H exhibit nuclear

magnetic resonance.• Nuclear “spins” are like magnetic dipoles.

1H

Page 20: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Polarization• Spins are normally oriented randomly.• In an applied magnetic field, the spins align with the

applied field in their equilibrium state.• Excess along B0 results in net magnetization.

No Applied Field Applied Field

B0

Page 21: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Precession

• Spins precess about applied magnetic field, B0, that is along z axis.

• The frequency of this precession is proportional to the applied field:

Bγ=ω

Page 22: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Excitation• “Excite” spins out of their equilibrium state.

• Transverse RF field (B1) rotates at γB0 about z-axis.

B1 MagnetizationB0

Rotating Frame

Page 23: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

RELAXATION (Pankhurst et al. J. Phys. D: Appl. Phys 36 (2003) R167)

Page 24: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Relaxation

• Magnetization returns exponentially to equilibrium:– Longitudinal recovery time constant is T1 (spin-lattice)– Transverse decay time constant is T2 (spin-spin)

• Relaxation and precession are independent.

Precession Decay Recovery

Page 25: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Signal Reception

• Precessing spins cause a change in flux (Φ) in a transverse receive coil.

• Flux change induces a voltage across the coil.

Signal

y

x

B0

z

Φ

Page 26: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Spin Echoes

• 180° RF tip can reverse the dephasing effects of off-resonance.

• Spins realign at some time to form a spin echo

Page 27: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

MR Image Formation• Gradient coils provide a linear variation in Bz with

position.• Result is a resonant frequency variation with position.

Bz

Position

Page 28: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Gradient Coils

Gradient coils generate spatially varying magnetic field so that spins at different location precess at frequencies unique to their location, allowing us to reconstruct 2D or 3D images.

X gradient Y gradient Z gradientxyzx

z zxy y

Page 29: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Selective Excitation

Frequency

Mag

nitu

de

(a)(b)

Pos

ition

(c)

Slope = 1

γG

Frequency

Page 30: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Image Acquisition• Gradient causes resonant frequency to vary with position.• Receive sum of signals from each spin.

Frequency

Position

Page 31: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

• Gradient adds to B0, so field depends on position• Precessional frequency varies with position!

• “Pulse sequence” modulates size of gradient Spins at each position sing at different frequency

• RF coil hears all of the spins at once• Differentiate material at a given position by selectively listening to

that frequency

Magnetic Gradients

Fastprecession

Slowprecession

B0

High field

Low field

Page 32: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Simple “imaging” experiment (1D)

increasingfield

Page 33: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Simple “imaging” experiment (1D)

Fourier transform

Signal

“Image”

Fourier Transform: determines amount of material at a given location by selectively “listening” to the corresponding frequency

position

Page 34: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

2D Imaging via 2D Fourier Transform

2DFT

2D Imagex

y

2D Signalkx

ky

1D Signal 1D “Image”

1DFT

Page 35: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Resolution• Image resolution increases as higher spatial

frequencies are acquired.

1 mm 2 mm 4 mm

ky

kx

ky

kx

ky

kx

Page 36: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Contrast• Contrast is the difference in appearance of different tissues

in an image.

X-ray contrast is based on transmission.

Page 37: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Contrast in MRI

• Hydrogen (water) density results in contrast between tissues.• Many other mechanisms, some based on relaxation.

Page 38: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

T2 Contrast

CSF (cerebrospinal fluid)

White/Gray Matter

Sig

nal

Time

Long Echo-TimeShort Echo-Time

Page 39: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

T1 Contrast

Sig

nal

Time

Sig

nal

Time

Short Repetition Long Repetition

CSF

White/Gray Matter

Page 40: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Knee Imaging - Menisci• MRI is the best non-invasive method of

diagnosing meniscal tears

FSE DEFT

Page 41: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Magnetic coreAntibody detector of cancer biomarker tumor

tumor

Enhance MRI contrast by molecular recognition

carcasa desílice Núcleo magnéticotamañocontrolado anticuerpo reconocedorde tumoresCONTRAST AGENTtumor

Page 42: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

G. Goya et al. INA (2006)

Dendritic cells as MRI contrast agent

Page 43: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Superparamagnetic Iron Oxide Nanoparticles (SPION)

“Ex-vivo” studies show a enhanced MRI contrast using a 2 Tesla scanner

Iron encapsultaed nanoparticles in PEG and other inorganicscovers give a good contrast

Page 44: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles
Page 45: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

MethodFrequency Range

(Hz)from to

Forwarded Energy(Watts)

from to

Galvano-treatment 0 102 1 5

Inductive heating 103 106 50 500

Capacitive heating 106 4.5x107 50 800

Antenna 6x107 2x108 150 2000

Microwave radiation 7x107 2.4x109 50 2000

Page 46: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

What is hyperthermia?

“Hyperthermia” is the general name given to a variety of heat-related illnesses. The two most common forms of hyperthermia are heat exhaustion and heat stroke. Of the two, heat stroke is especially dangerous and requires immediate medical attention.

QUE ES LA HIPERTERMIA MALIGNA? La Hipertermia Maligna (HM) es un desorden hereditario y silente del musculo. Afecta a individuos en apariencia perfectamente normales y que no tienen ninguna limitacionfuncional en su vida diaria. Sin embargo, cuando a estos individuos se les administra algun anestesico gatillante, este desorden silencioso puede transformarse en fatal. National Institute of Aging

Page 47: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

100 101 102 103 104 105 106 107 108 109

100

101

102

103

104

105

106

de

pth

(mm

)

f (kHz)

Page 48: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Ara

gon

Inst

itute

of

Nan

osci

ence

A

rago

n In

stitu

te o

f N

anos

cien

ce --

INA

INA

Delivery kind: Conduction, Convection, Radiation, Bioactive

Energy Production: Contac methods, chemical, biological, mechanical, electromagnetic.

Locality: Local, Regional, systemic

Clinical applications: superficial, intracavitational, deep-seated, whole-body.

Combination with: Chemo-therapy, radiotherapy, surgery, gene-therapy, hormone therapy

Page 49: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

0 30 60 90 120 150 180 210 240 270 300 33020

25

30

35

40

45

50

55

60

65

70

T (

ºC

)

t (s)

0 50 100 150 200 2500

1

2

d(T

)/dt

t (s)

Page 50: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Material Composition(wt %) Initial relativepermeabilityµr SaturationFlux DensityBS(Gauss) HysteresisLoss/Cycle(J/m3 ) Resistivity ρ(Ω.m)Commercial Fe ingot 99.95Fe 150 21400 270 1.0x10-7Si-Fe (oriented) 97Fe, 3Si 1400 20100 40 4.7x10-745 Permalloy 55Fe, 45Ni 2500 16000 120 4.5x10-7Supermalloy 79Ni, 15Fe, 5Mo, 0.5Mn 75000 8000 -- 6.0x10-7Ferroxcube A 48MnFe2O4, 52 ZnFe2O4

1400 3300 ~ 40 2000Ferroxcube B 36 NiFe2O4, 64 ZnFe2O4

650 3600 ~ 35 107Adapted from Metals Handbook : Properties and Selection: Stainless Steels, Tool Materials and Special-Purpose Metals, Vol.3, 9th Edition. D. Benjamin (Senior Editor), American Society for Metals, 1980.

Page 51: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

VL = I ZL = I ω LV I

V = I ω L = 630 V

lL AN2µ= I

lB Nµ=L = 6.8 cm, Diam= 4 cmN = 9,

B = 300 Oea 250 kHz

I = 200 Amp

V = I Z

ZL = ω L

dttdiLtV )()( =

Es decir… ~ 120 kVA

Page 52: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Magnetic Gradients

Gradient: Additional magnetic field which varies over space– Gradient adds to B0, so field depends on position– Precessional frequency varies with position!– “Pulse sequence” modulates size of gradient

High field

Low field

B0

Page 53: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Image Reconstruction• Received signal is a sum of “tones.”• The “tones” of the signal are the image.• This also applies to 2D and 3D images.

FourierTransform

Received SignalImage

Page 54: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

2D Image Reconstructionky

kx

Frequency-space(k-space)

Image space

Page 55: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Knee Imaging - Cartilage

• High resolution images begin to show cartilage structure:

– 0.4 x 0.4 x 2 mm3 resolution– 5 minute scan time

Cartilage

DEFT 5 min.DEFT 5 min.

Bone

(from Erickson– 1997)

Page 56: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

RF

kHz

Depth, mm

Page 57: “Biomedical applications of magnetic nanoparticles: I: Drug deliverymagnetism.eu/esm/2007-cluj/slides/ibarra2-slides.pdf · 2017-06-20 · Biomedical applications of magnetic nanoparticles

Static Magnetic Field

Longitudinal

Transverse

B0

z

x, y

∆E=gNµNBo=hω

Bo= 1 Tesla, ω= 10 MHz