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Basics of MRI Physics
Dr. Muhammad Bin Zulfiqar
PGR III FCPS New Radiology Department
Services Hospital Lahore / Services Institute of
Medical Sciences
AIMS
• Basic Physics
• Basic Sequences
• How things appear bright or dark?
Basic Physics
We all are made up of elements
 92 elements occur naturally on earth.
 Human body is built of only 26 elements.
 Oxygen, hydrogen, carbon, nitrogen elements
constitute 96 % of human body mass.
 The adult human body is ~53% water, and water is
~11% hydrogen by mass but ~67% hydrogen by atomic
percent.
 Thus, most of the mass of the human body is oxygen,
but most of the atoms in the human body are
hydrogen atoms.
 The average 70 kg adult human body contains
approximately 3 x 1027 atoms of which 67% are
hydrogen atoms.
MR active nuclei:
C13
F19
P31
N15
O17
• Due to unpaired Proton nuclei of these
elements act as a tiny magnet.
Why hydrogen?
Simplest element with atomic number of 1 and
atomic weight of 1
When in ionic state (H+), it is nothing but a
proton.
Proton is not only positively charged, but also has
magnetic spin (wobble)!
MRI utilizes this magnetic spin property of
protons of hydrogen to elicit images!!
Essentially all MRI is hydrogen (proton) imaging
We are magnets?
WE ARE MAGNETS!
Really?
But why we can’t act like magnets?
►The protons (i.e.
Hydrogen ions) in body
are spinning in a hap
hazard fashion, and
cancel all the
magnetism. That is our
natural state!
►We need to discipline
them first, how?
We need a big magnet from outside!
►Magnetic field strength: 0.3 – 7 T (2500 times
more than earth’s magnetic field {50 micro
Tesla}). Average field strength – 1.5 T
►Open magnet – less field strength, less
claustrophobic
►Closed magnet – more field strength,
claustrophobic
Body in an external magnetic field
(B0)
•In our natural state Hydrogen ions in body
are spinning in a haphazard fashion, and
cancel all the magnetism.
•When an external magnetic field is
applied protons in the body align in one
direction. (As the compass aligns in the
presence of earth’s magnetic field)
Net magnetization
• Half of the protons align along the magnetic field and rest are aligned opposite
• At room temperature, the
population ratio of anti-
parallel versus parallel
protons is roughly 100,000
to 100,007 per Tesla of B0
• These extra protons produce net magnetization vector (M)
• Net magnetization depends on B0 and temperature
B0 Magnetic Field Strength
Manipulating the net magnetization
• Magnetization can be manipulated by changing the magnetic field
environment (static, gradient, and RF fields)
• RF waves are used to manipulate the magnetization of H nuclei
• Externally applied RF waves perturb magnetization into different axis
(transverse axis). Only transverse magnetization produces signal.
• When perturbed nuclei return to their original state they emit RF signals
which can be detected with the help of receiving coils
Precession
Proton moves in like spinning top.
In two axis wobbling motion called
Precession, depends on magnetic
field strength
Precession frequency
• Precession frequency is dependent on strength of
external magnet field
• It is determined by Larmor Equation
f = g x B0
– f is precession frequency in Hz or MHz
– Bo in magnetic field strength in Tesla
– g is gyro-magnetic ratio, for proton is 42.6 MHz/Tesla
– Stronger the external magnetic field higher the precession
frequency
Larmor frequencies
• 3T ~ 130 mHz
• 7T ~ 300 mHz
• 11.7T ~ 500 mHz
Coordinate system
Representation of magnetic force in Z axis, Proton vector as red arrow
Net magnetic force
Proton pointing in opposite direction cancels each others magnetic effect
in respective direction.
9 proton align up and 5 down, resulting in 4 proton up force
Net magnetic force
As there are more protons
aligned parallel to the external
magnetic filed, there is a net
magnetic movement aligned
with or longitudinal to the
external magnetic field
Human magnetic vector
• In a strong external
magnetic field a new
magnetic vector is
induced in the patient,
who becomes a magnet
himself.
• This new magnetic vector
is aligned with the
external magnetic field
Magnetic Vector Components
• Magnetic Vector Mo
• Two components.
– Mz along magnetic
field called
longitudinal
magnetic vector
– Mxy along transverse
plane called
Transverse
magnetization.
Effect of Radiofrequency Pulse
• After radiofrequency pulse longitudinal
magnetization Mz decreases and transverse
magnetization Mxy increases.
T1 and T2 relaxation
 When RF pulse is stopped higher energy gained by
proton is retransmitted and hydrogen nuclei relax by
two mechanisms
 T1 or spin lattice relaxation- by which original
magnetization (Mz) begins to recover.
 T2 relaxation or spin spin relaxation - by which
magnetization in X-Y plane decays towards zero in an
exponential fashion. It is due to incoherence of H
nuclei.
 T1 is usually larger than T2.
 T2 values of CNS tissues are shorter than T1 values
T1 relaxation
• After protons are Excited
with RF pulse They move out
of Alignment with B0
• But once the RF Pulse is
stopped they realign after
some time and this is called
t1 relaxation
• T1 is defined as the time it
takes for the hydrogen
nucleus to recover 63% of
its longitudinal
magnetization
Factors Effecting T1
• T1 depends on the surrounding tissue composition and structure
• The shorter the T1, the quicker the protons exchange thermal
energy with the lattice
• Liquids have a long T1:
– Difficult to hand over thermal energy as the surrounding molecules
are moving too rapidly
• Fat has a short T1:
– The carbon bonds at the ends of fatty acids have frequencies near the
Larmor frequency: Thus energy transfer is easier
• T1 increases as the strength of the external magnetic field (B )
increases:
• The protons precess faster (Larmor frequency increases)
• Faster moving protons are less efficient at transferring energy to the
slower moving lattice
T2 relaxation time is the time for 63% of the protons to become dephased
owing to interactions among nearby protons.
Factors Effecting T2
• Dephasing is caused by inhomogeneities in:
– The external magnetic field (B )
– Local magnetic fields in the surrounding tissue
• The shorter the T2, the more inhomogeneous
the local magnetic field is
Factors Effecting T2
• Liquids:
• The molecules within liquids move relatively quickly.
This means the local magnetic fields of those
molecules also move quickly. The magnetic fields
“average out” to give a relatively homogeneous
magnetic field Protons, therefore, stay in phase for
longer T2 is long
• Impure liquids:
• Large molecules move relatively slowly. This means
that the local magnetic field is more inhomogeneous.
Protons, therefore, dephase more quickly T2 is short
How MR Signal Produced?
• After radiofrequency pulse Mz Reduces and
Mxy develop.
• When pulse is switched off Mxy decreases and
excess energy handed over which is picked up
by the receivers and amplified, computered
analyzed and postulated to MR Grey signal.
• So only Mxy component produces
signals.
Properties of Body Tissues
Material T1 (ms) T2 (ms)
Fat 250 80
Liver 400 40
Kidney 550 60
Spleen 400 60
White Matter 650 90
Grey matter 800 100
CSF 2000 150
Water 3000 3000
Bone, Teeth Very long Very short
Basic Physics of MRI: T1 and T2
T1 is shorter in fat (large
molecules) and longer in
CSF (small molecules). T1
contrast is higher for lower
TRs.
T2 is shorter in fat and longer
in CSF. Signal contrast
increased with TE.
In a Nutshell
TR determines T1 contrast
TE determines T2 contrast.
TR-----Time to Repeat
• TR is the time between 90° RF pulses
• TR varies depending on the study and can be
set by the operator:
• Long TR > 1500 msec
• Short TR < 500 msec
• We can see that brain has a shorter T1 than CSF
• If we wait a long time between RF pulses (TR ) there is very
little difference in signal intensity between brain and CSF
• If we repeat the RF pulse sooner (TR ) there will be a
greater difference in signal intensity because the
longitudinal magnetisation of brain will have recovered
and will lead to a greater transverse magnetisation after
the flip following the RF pulse
TE----Time to Echo (Signal)
• TE (echo time) : time interval in which signals
are measured after RF excitation.
• Short TE < 45 msec
• Long TE > 45 msec
• Here we see that the longer the TE greater will
be the contrast between the different tissues.
Different tissues have different relaxation
times. These relaxation time differences
is used to generate image contrast.
T1W, T2W PD
• In general a short TR (<800ms) and short TE (15-45
ms) scan is T1WI
• Long TR (>2000ms) and long TE (90-140ms) scan
is T2WI
• Long TR (1000-3000ms) and short TE (<45ms,
usually 15 ms) scan is proton density image
Basic Sequences
Basic Sequences
• T1W
• T2W
• PD
• Fluid-attenuated inversion-recovery (FLAIR)
sequence.
• Short TI inversion-recovery (STIR) sequence
Bright on T1
• Fat
• subacute hemorrhage,
• melanin,
• protein rich fluid.
• Slowly flowing blood
• Paramagnetic substances(gadolinium, copper,
manganese)
Dark on T1
• Edema
• Tumor
• Infection
• Inflammation
• hemorrhage(hyperacute, chronic)
• Low proton density,
• calcification
• Flow void
Bright on T2
• Edema,
• tumor,
• infection,
• inflammation,
• subdural collection
• Methemoglobin in late subacute hemorrhage
Dark on T2
• Low proton density, calcification,
• Fibrous tissue
• Paramagnetic substances( deoxyhemoglobin,
methemoglobin (intracellular), ferritin,
hemosiderin, melanin.
• Protein rich fluid
• Flow void
FLAIR
• Edema,
• Demyelination
• Infarction esp. in
Periventricular location
GRADATION OF INTENSITY
IMAGING
CT SCAN CSF Edema White
Matter
Gray
Matter
Blood Bone
MRI T1 CSF Edema Gray
Matter
White
Matter
Cartilage Fat
MRI T2 Cartilage Fat White
Matter
Gray
Matter
Edema CSF
MRI T2 Flair CSF Cartilage Fat White
Matter
Gray
Matter
Edema
CT SCAN
MRI T1 Weighted
MRI T2 Weighted
MRI T2 Flair
STIR
• STIR sequences provide excellent depiction of
bone marrow edema which may be the only
indication of an occult fracture.
Which scan best defines the abnormality
T1 W Images:
Subacute Hemorrhage
Fat-containing structures
Anatomical Details
T2 W Images:
Edema
Demyelination
Infarction
Chronic Hemorrhage
FLAIR Images:
Edema,
Demyelination
Infarction esp. in Periventricular location
Reason for Brightness
Logic—Y bright on T1
• Short T1— Bright e.g. Fat, protein, melanin,
white matter.
• Paramagnetic effect e.g. Gadolinium,
methemoglobin.
• Slow flowing blood.
Logic—Y bright on T2
• All Substances with Long T1 and T2 relaxation
time appears bright. e.g Water, CSF, White
matter.
• All diseases with more water contents appear
bright. Inflammation, Tumors, Infection,
edema.
Bright on STIR
• Fat Suppressed, so anything left bright is
water.
Bright on DWI
• No Diffusion – Bright
• Diffusion – Dark
THANK YOU!!!

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Basics of mri physics Dr. Muhammad Bin Zulfiqar

  • 1. Basics of MRI Physics Dr. Muhammad Bin Zulfiqar PGR III FCPS New Radiology Department Services Hospital Lahore / Services Institute of Medical Sciences
  • 2. AIMS • Basic Physics • Basic Sequences • How things appear bright or dark?
  • 4. We all are made up of elements  92 elements occur naturally on earth.  Human body is built of only 26 elements.  Oxygen, hydrogen, carbon, nitrogen elements constitute 96 % of human body mass.  The adult human body is ~53% water, and water is ~11% hydrogen by mass but ~67% hydrogen by atomic percent.  Thus, most of the mass of the human body is oxygen, but most of the atoms in the human body are hydrogen atoms.  The average 70 kg adult human body contains approximately 3 x 1027 atoms of which 67% are hydrogen atoms.
  • 5. MR active nuclei: C13 F19 P31 N15 O17 • Due to unpaired Proton nuclei of these elements act as a tiny magnet.
  • 6. Why hydrogen? Simplest element with atomic number of 1 and atomic weight of 1 When in ionic state (H+), it is nothing but a proton. Proton is not only positively charged, but also has magnetic spin (wobble)! MRI utilizes this magnetic spin property of protons of hydrogen to elicit images!! Essentially all MRI is hydrogen (proton) imaging We are magnets?
  • 8. But why we can’t act like magnets? ►The protons (i.e. Hydrogen ions) in body are spinning in a hap hazard fashion, and cancel all the magnetism. That is our natural state! ►We need to discipline them first, how?
  • 9. We need a big magnet from outside! ►Magnetic field strength: 0.3 – 7 T (2500 times more than earth’s magnetic field {50 micro Tesla}). Average field strength – 1.5 T ►Open magnet – less field strength, less claustrophobic ►Closed magnet – more field strength, claustrophobic
  • 10. Body in an external magnetic field (B0) •In our natural state Hydrogen ions in body are spinning in a haphazard fashion, and cancel all the magnetism. •When an external magnetic field is applied protons in the body align in one direction. (As the compass aligns in the presence of earth’s magnetic field)
  • 11. Net magnetization • Half of the protons align along the magnetic field and rest are aligned opposite • At room temperature, the population ratio of anti- parallel versus parallel protons is roughly 100,000 to 100,007 per Tesla of B0 • These extra protons produce net magnetization vector (M) • Net magnetization depends on B0 and temperature B0 Magnetic Field Strength
  • 12. Manipulating the net magnetization • Magnetization can be manipulated by changing the magnetic field environment (static, gradient, and RF fields) • RF waves are used to manipulate the magnetization of H nuclei • Externally applied RF waves perturb magnetization into different axis (transverse axis). Only transverse magnetization produces signal. • When perturbed nuclei return to their original state they emit RF signals which can be detected with the help of receiving coils
  • 13. Precession Proton moves in like spinning top. In two axis wobbling motion called Precession, depends on magnetic field strength
  • 14. Precession frequency • Precession frequency is dependent on strength of external magnet field • It is determined by Larmor Equation f = g x B0 – f is precession frequency in Hz or MHz – Bo in magnetic field strength in Tesla – g is gyro-magnetic ratio, for proton is 42.6 MHz/Tesla – Stronger the external magnetic field higher the precession frequency
  • 15. Larmor frequencies • 3T ~ 130 mHz • 7T ~ 300 mHz • 11.7T ~ 500 mHz
  • 16. Coordinate system Representation of magnetic force in Z axis, Proton vector as red arrow
  • 17. Net magnetic force Proton pointing in opposite direction cancels each others magnetic effect in respective direction. 9 proton align up and 5 down, resulting in 4 proton up force
  • 18. Net magnetic force As there are more protons aligned parallel to the external magnetic filed, there is a net magnetic movement aligned with or longitudinal to the external magnetic field
  • 19. Human magnetic vector • In a strong external magnetic field a new magnetic vector is induced in the patient, who becomes a magnet himself. • This new magnetic vector is aligned with the external magnetic field
  • 20. Magnetic Vector Components • Magnetic Vector Mo • Two components. – Mz along magnetic field called longitudinal magnetic vector – Mxy along transverse plane called Transverse magnetization.
  • 21. Effect of Radiofrequency Pulse • After radiofrequency pulse longitudinal magnetization Mz decreases and transverse magnetization Mxy increases.
  • 22. T1 and T2 relaxation  When RF pulse is stopped higher energy gained by proton is retransmitted and hydrogen nuclei relax by two mechanisms  T1 or spin lattice relaxation- by which original magnetization (Mz) begins to recover.  T2 relaxation or spin spin relaxation - by which magnetization in X-Y plane decays towards zero in an exponential fashion. It is due to incoherence of H nuclei.  T1 is usually larger than T2.  T2 values of CNS tissues are shorter than T1 values
  • 23. T1 relaxation • After protons are Excited with RF pulse They move out of Alignment with B0 • But once the RF Pulse is stopped they realign after some time and this is called t1 relaxation • T1 is defined as the time it takes for the hydrogen nucleus to recover 63% of its longitudinal magnetization
  • 24. Factors Effecting T1 • T1 depends on the surrounding tissue composition and structure • The shorter the T1, the quicker the protons exchange thermal energy with the lattice • Liquids have a long T1: – Difficult to hand over thermal energy as the surrounding molecules are moving too rapidly • Fat has a short T1: – The carbon bonds at the ends of fatty acids have frequencies near the Larmor frequency: Thus energy transfer is easier • T1 increases as the strength of the external magnetic field (B ) increases: • The protons precess faster (Larmor frequency increases) • Faster moving protons are less efficient at transferring energy to the slower moving lattice
  • 25. T2 relaxation time is the time for 63% of the protons to become dephased owing to interactions among nearby protons.
  • 26. Factors Effecting T2 • Dephasing is caused by inhomogeneities in: – The external magnetic field (B ) – Local magnetic fields in the surrounding tissue • The shorter the T2, the more inhomogeneous the local magnetic field is
  • 27. Factors Effecting T2 • Liquids: • The molecules within liquids move relatively quickly. This means the local magnetic fields of those molecules also move quickly. The magnetic fields “average out” to give a relatively homogeneous magnetic field Protons, therefore, stay in phase for longer T2 is long • Impure liquids: • Large molecules move relatively slowly. This means that the local magnetic field is more inhomogeneous. Protons, therefore, dephase more quickly T2 is short
  • 28. How MR Signal Produced? • After radiofrequency pulse Mz Reduces and Mxy develop. • When pulse is switched off Mxy decreases and excess energy handed over which is picked up by the receivers and amplified, computered analyzed and postulated to MR Grey signal. • So only Mxy component produces signals.
  • 29. Properties of Body Tissues Material T1 (ms) T2 (ms) Fat 250 80 Liver 400 40 Kidney 550 60 Spleen 400 60 White Matter 650 90 Grey matter 800 100 CSF 2000 150 Water 3000 3000 Bone, Teeth Very long Very short
  • 30. Basic Physics of MRI: T1 and T2 T1 is shorter in fat (large molecules) and longer in CSF (small molecules). T1 contrast is higher for lower TRs. T2 is shorter in fat and longer in CSF. Signal contrast increased with TE.
  • 31. In a Nutshell TR determines T1 contrast TE determines T2 contrast.
  • 32. TR-----Time to Repeat • TR is the time between 90° RF pulses • TR varies depending on the study and can be set by the operator: • Long TR > 1500 msec • Short TR < 500 msec
  • 33. • We can see that brain has a shorter T1 than CSF • If we wait a long time between RF pulses (TR ) there is very little difference in signal intensity between brain and CSF • If we repeat the RF pulse sooner (TR ) there will be a greater difference in signal intensity because the longitudinal magnetisation of brain will have recovered and will lead to a greater transverse magnetisation after the flip following the RF pulse
  • 34. TE----Time to Echo (Signal) • TE (echo time) : time interval in which signals are measured after RF excitation. • Short TE < 45 msec • Long TE > 45 msec
  • 35. • Here we see that the longer the TE greater will be the contrast between the different tissues.
  • 36. Different tissues have different relaxation times. These relaxation time differences is used to generate image contrast.
  • 37. T1W, T2W PD • In general a short TR (<800ms) and short TE (15-45 ms) scan is T1WI • Long TR (>2000ms) and long TE (90-140ms) scan is T2WI • Long TR (1000-3000ms) and short TE (<45ms, usually 15 ms) scan is proton density image
  • 39. Basic Sequences • T1W • T2W • PD • Fluid-attenuated inversion-recovery (FLAIR) sequence. • Short TI inversion-recovery (STIR) sequence
  • 40. Bright on T1 • Fat • subacute hemorrhage, • melanin, • protein rich fluid. • Slowly flowing blood • Paramagnetic substances(gadolinium, copper, manganese)
  • 41.
  • 42. Dark on T1 • Edema • Tumor • Infection • Inflammation • hemorrhage(hyperacute, chronic) • Low proton density, • calcification • Flow void
  • 43. Bright on T2 • Edema, • tumor, • infection, • inflammation, • subdural collection • Methemoglobin in late subacute hemorrhage
  • 44.
  • 45. Dark on T2 • Low proton density, calcification, • Fibrous tissue • Paramagnetic substances( deoxyhemoglobin, methemoglobin (intracellular), ferritin, hemosiderin, melanin. • Protein rich fluid • Flow void
  • 46. FLAIR • Edema, • Demyelination • Infarction esp. in Periventricular location
  • 47. GRADATION OF INTENSITY IMAGING CT SCAN CSF Edema White Matter Gray Matter Blood Bone MRI T1 CSF Edema Gray Matter White Matter Cartilage Fat MRI T2 Cartilage Fat White Matter Gray Matter Edema CSF MRI T2 Flair CSF Cartilage Fat White Matter Gray Matter Edema
  • 48. CT SCAN MRI T1 Weighted MRI T2 Weighted MRI T2 Flair
  • 49. STIR • STIR sequences provide excellent depiction of bone marrow edema which may be the only indication of an occult fracture.
  • 50. Which scan best defines the abnormality T1 W Images: Subacute Hemorrhage Fat-containing structures Anatomical Details T2 W Images: Edema Demyelination Infarction Chronic Hemorrhage FLAIR Images: Edema, Demyelination Infarction esp. in Periventricular location
  • 52. Logic—Y bright on T1 • Short T1— Bright e.g. Fat, protein, melanin, white matter. • Paramagnetic effect e.g. Gadolinium, methemoglobin. • Slow flowing blood.
  • 53. Logic—Y bright on T2 • All Substances with Long T1 and T2 relaxation time appears bright. e.g Water, CSF, White matter. • All diseases with more water contents appear bright. Inflammation, Tumors, Infection, edema.
  • 54. Bright on STIR • Fat Suppressed, so anything left bright is water.
  • 55. Bright on DWI • No Diffusion – Bright • Diffusion – Dark