Transcript MRI
Chap.12 (3) Medical imaging
systems: MRI
Science or black magic?
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Source: Courtesy of Warner Bros
Principles of MRI
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MRI
Source: Biomed resources
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MRI
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Source: MT Scott Diagnostic imaging
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A brief recipe of MRI
1. Put the subject into a strong magnetic
field
2. Pass radiowaves through the subject
3. Turn of the radiowaves
4. Recieve radiowaves coming back from
the subject
5. Convert the measured RF-data to an
image
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Elements contributing to a MRI
• The quantitative properties of the nuclear
spin
• The radiofrequency (RF) exitation
properties
• Relaxationproperties of the tissue
• Magnetic field strength and gradients
• Thte timing of the gradients, RF-pulses and
signal detection
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Prerequisites for depicted nucleus
• A nucleus that is to be pictured must have
both:
– Spin
– Charge
Nucleus with even protonnumbers cannot be
used because the spin will cancel each other
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Single-proton
• A single proton has a charge on the surface which
is sufficient to form a small current-loop and
generates a magnetic momentum µ
• The proton has also a mass that creates an
angle-moment J due to the spin
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Hydrogenatoms
• The hydrogenatom is the only large
element in the body able to be depicted
with MRI. (C, O and N have all even
numbers in the proton number).
• Hydrogen is everywhere in the body,
primarily combined to water
= All MRI are in fact a picture of hydrogen
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Angle momentum
J = m=mvr
J
m
r
v
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Magnetic momentum
µ
A
I
The magnetic momentum vector µ=IA
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Precession og relaxation
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Vector direction
• The magnetic momentum and the angle
momentum vector is aligned to the spinaxis.
µ=γJ
Where γ is the gyromagnetic ratio, constant
for a given nucleus
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Proton interaction with
magnetism
• Loaded particles spinning is constructing their own little
magnetic field.
- Will line up in the same direction as an
external magnetic field
Spinning particles with a mass have an angle momentum
– The angle momentum works as a gyroscope and counteracts
changes of the spin direction
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• Ref:www.simplyphysics.com
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Larmour frequency
The energy difference between
the two alignment states
depends on the nucleus
E = 2 z Bo
Eh
/2
known as Larmor frequency
/2= 42.57 MHz / Tesla for proton
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Ref: James Voyvodic
Resonance frequencies of common nuclei
Note: Resonance at 1.5T = Larmor frequency X 1.5
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Ref: James Voyvodic
Electromagnetic Radiation Energy
X-Ray, CT
MRI
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Magnetization
• Sum of all contributions from each nucleus
• Large magnetic fields create a big magnetization
M
• Temperature dependency
• To be able to measure the magnetization, we will
have to disturb it
• The quantity of energy supplied (durability for the
RF-pulse at the resonance frequency) will decide
how far the nuclei will be pushed away from B
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Radiofrequency field
• RF fields are used to manipulate the
magnetization for a specific atom in a specific
position
• The hydrogen nucleus is tuned to a certain RFfrequecy
• Eksternal RF-waves can be sent into the subject
in order to disturb the hydrogen nucleus
• Disturbed hydrogen nuclei will generate RFsignals with the same frequency – which can later
be detected
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To record an MRI signal
• Needs a receive coil tuned in to the same RF-requency as
the excitasjonscoil
• Measure net magnetization
• The signal oscillates at the resonansfrequency when the
net magnetization vector rotates in the room
• Signalamplitude will be weakened when the netto
magnetization returns to the B-direction
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MRI scanner
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Important MRI equations
• Larmorequation: ω=γB
• Relationship between parallell /
antiparallell protones :
Nn/Ne = ehν/kT =1+410-6
represents net magnetization at
room temperature and 1 Tesla
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T1 recording
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T2
recording
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MR images
T1 and T2
contrast
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3D picture
construction
ω = γB
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T1, T2 and proton-density
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Vertical
main field
Source: Oulun Yliopisto
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Extremity
MRI
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Interventional
MRI
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Adv/disadv MRI
Adv:
No harmful radiation
Soft tissue imaging
High resolution images of T1 or T2 preferences
Disadv:
Expensive, large installation with superconducting
magnets++
Very strong magnetic field
Claustrophobic
Not for frozen tissue
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