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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 1Master‘s Program in Medical Physics
Chair in Computer Assisted Clinical MedicineFaculty of Medicine Mannheim University of HeidelbergTheodor-Kutzer-Ufer 1-3D-68167 Mannheim, GermanyLothar.Schad@MedMa.Uni-Heidelberg.dewww.ma.uni-heidelberg.de/inst/cbtm/ckm/
Physics of Imaging Systems
Basic Principles of Computer Tomography (CT) II
Prof. Dr. Lothar Schad
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 2
Spiral CT
Spiral CT
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 3Spiral CT 1989
Kalender et al. Radiology 1989Vock et al. Radiology 1989
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 4Spiral CT: Principle I
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
direction of patient transport
starting point of spiral scan
trajectory ofrotating tubeand detector
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 5CT Artifacts: Patient Movement
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
- critics to spiral CT 1989:“spiral CT is a method to create image artifacts”
- solution: z-interpolation
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 6Spiral CT: Z – Interpolation I
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
conventional CT spiral CT
measurement
preprocessing
intermediate step
reconstruction
result
n scans over 360°at positions
z1 to zn
1 scan over n·360°at positions
z1 to zn
data correction data correction
z-interpolation
convolution and backprojection
convolution and backprojection
n images at fix positions z1 to zn
> n images at any positions z1 to zn
ima 1ima 2
ima 3ima n
ima 1ima 2
ima 3ima 4
ima i
any defined sliceat position z
z-axis
time
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 7Spiral CT: Z – Interpolation II
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
filter width W
- data rate spiral CT (64 rows): 600 MB / sec → ~ 10 GB / patient !
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 8
B
volume data
continuous data acquisition
A
• slices can be reconstructed atany position within the volume
• distance between the slices iscalled “increment”
Spiral CT: Slice Reconstruction
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 9
• no misregistration of lesion
• fast imaging• better patient’s comfort• less motion artifacts• less contrast medium• less radiation dose• higher throughput
volume scanning in a single breathhold
Spiral CT: Clinical Advantage
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 10
pitch = table feed per rotationcollimation
TT aa bb llee FF ee ee dd CC oo ll ll iimm aa tt iioo nn PP ii tt cc hh11 00 mm mm // rr oo tt 11 00 mm mm 11 ..0022 00 mm mm // rr oo tt 11 00 mm mm 22 ..00
Spiral CT: Pitch - Factor
- example: spiral CT64 rows, slice thickness 0.5 mm, table feet 32 mm per rotationcollimation = 64 x 0.5 mm = 32 mmpitch = 32 mm / 32 mm = 1.0
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 11
PITCH 2PITCH 1
pitch 2 produces a broader image slice
Pitch and Image Quality
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 12Spiral-CT: Slice Sensitivity Profile (SSP)
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
SSP atconventional CT
table movingfunction
SSP atspiral CT
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 13Spiral-CT: Partial Volume Effect
best case worst caseobject
image
object
image
best case worst case
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 14
pitch 1.0 10 mm/rot
pitch 2.020 mm/rot
30 s 15 s
same volume in a shorter time!
Clinical Advantage: High Pitch - Factor
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 15
30s with 1.0s rotation
22s with 0.8s rotation
40cm 30cm
0.8s Spiral 1.0s Spiral
10mm30s
8mm28s
7mm32s 0.75s SPIRAL 1s SPIRAL
• same coverage in less time• more coverage in the same time• thinner slices in the same time
Clinical Advantage: Subsecond Rotation
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 16
4 rows instead of 1
• more volume more detector rows
• better detailssubmillimeter slices (0.5 mm)
• more speed0.5 sec gantry rotation8 slices per second
Multi - Row Spiral CT
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 17Future: Cone Beam Spiral CT
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 18Spiral CT with 256 Rows
Toshiba
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 19Cone Beam CT I
source: Dössel. “Bildgebende Verfahren in der Medizin” 2000
X-raysource
trajectory of X-ray source
detectormatrix
object
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 20Cone Beam CT II
source: Dössel. “Bildgebende Verfahren in der Medizin” 2000
detailsimage points
cone angle κ
plane through detail structures
central plane
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 21Cone Beam CT II
- cone beam experimental setup
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 22Electron Beam CT
source: Dössel. “Bildgebende Verfahren in der Medizin” 2000
deflecting coils
focusing coils
electron generationelectron beam
data acquisition
detector ring
patient couch
target ring
X-ray fancy beam
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 23
Esprit Balance Emotion EmotionDuo
VolumeAccess
VolumeZoomSmile
single slice spiral scanners multi-slice spiral scanners2.0 s 1.5 s 1.0 s 0.8 s 0.8 s 0.5 s 0.5 s
ultrafast ceramic detectorsSyngo user interface
Siemens Somatom CT Family
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 24Slices Within a Typical Breathhold (20 s)
Emotion EmotionDuo Option
VolumeAccess
VolumeZoomBalance
80 slices
25 slices
160 slices
50 slices
20 slices3s
1 s1.5 s
0.7 s0.7 s
0.8 s 0.8 s 0.5 s 0.5 s
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 25Volume: Routine Protocol 5 mm, Pitch 1.5, in 20 s
Emotion EmotionDuo Option
VolumeAccess
VolumeZoomBalance
60 cm
19 cm
120 cm
38 cm
15 cm
80 s spiral 100 s spiral 80 s spiral 100 s spiral
50 cm / P 2.0
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 26Chest (30 cm) Scan Time with 5 mm, Pitch 1.5
Emotion EmotionDuo Option
VolumeAccess
VolumeZoomBalance
10 s
32 s
5 s
16 s
40 s
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 27
Emotion EmotionDuo Option
VolumeAccess
VolumeZoomBalance
2*2.5 mm / 20 s2*1 mm / 38 s?
8 mm / 20 s5 mm / 32 s
4*1 mm / 25 s4*2.5 mm / 10 s
2*5 mm / 16 s2*2.5 mm / 32 s
8 mm / 25 s
Chest (30 cm): Breathhold
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 28
source: Dössel. “Bildgebende Verfahren in der Medizin” 2000
scanogram:
• exact anatomic positioning• X-ray tube and detector are fix• patient is moved continuously
through the scanner• reconstruction of single rows
Spiral CT: Scanogram IX-ray tube
detectors
patient couch
moving table
X-ray scanscanogram
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 29
- scanogram are measured at low doseand low spatial resolution
- projection direction (here a.p.) is arbitrary
- based on the scanogram the slice positioningand gantry tilting of a single slice or wholevolume can be anatomically exact defined
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
Spiral CT: Scanogram II
detector (fix)
tube (fix)
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 30
source: Dössel. “Bildgebende Verfahren in der Medizin” 2000
xenon high pressureionization chamber
scintillator crystals (CsI)with photo diode
CT DetectorsX-ray quant’s
xenon gas fillingabout 20 bar
anode cathode
current signalisolation
pressure chamber
about10 cm
photodiode
about1 cm
voltage signal
scintillation crystal
lightquant’s
X-ray quant’s
+ anode &cathodecan beused ascollimators
+ lowdeadtime108 cps
- lowefficiency
- large size
+ highefficiency
+ smallsize
- highdeadtime
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 31
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
Spiral CT: Multi – Slice Detector Systems
“adaptive array detector”
variable slice collimationby near-focus fade in
and electronic signal combination
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 32
1.25 mm
1.25 mm
1.25 mm
1.25 mm
2.5 mm
2.5 mm
5 mm
X-ray collimation 5 mm
X-r
ay tu
be
z -a
xis
Spiral CT: Multi – Slice Scanning Principle
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 33Spiral CT: Variable Slice Thickness
1 mmLF
5 mmWTF
1 mmWTF
5 mmLF
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 34Spiral CT: Multi – Planar Reconstruction
transversal(axial)
sagittal
frontal(coronal)
oblique
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 35Spiral CT: Coronal Reconstruction
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 36Spiral CT: Summary
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 37
CT Image Quality
CT Image Quality
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 38CT Image Quality Criteria
- dependent on measuring parameters !
- quantitative criteria are influencing each other !
quantitative criteria:
- spatial resolution
- contrast resolution
- noise and homogeneity
- artifacts
• metallic implants• patient movement• partial volume effects• beam hardening• scattering• raster errors• exceeding field-of-view
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 39
There are 7 or 8 mice...
No, there are10 of them!
- the ability to resolve high contrast objects→ high contrast resolution
Spatial Resolution I
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 40Spatial Resolution II
edge enhancing reconstruction kernelnoise ↑
smoothing reconstruction kernelnoise ↓
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 41
Is therea cat? !
There could bea cat!
- when small contrast differences are questioned → low contrast resolution
A cat !
Contrast Resolution I
- more photons → noise ↓ but dose ↑
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 42Contrast Resolution II
edge enhancing reconstruction kernel smoothing reconstruction kernel
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 43Contrast – Detail - Diagram
relationship between spatial resolution and contrast resolution
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 44Noise
I = 50 mAd = 4 mm
I = 200 mAd = 4 mm
I = 200 mAd = 16 mm
- Poisson statistic of photons is dominating- dependent on X-ray tube current I and slice thickness d- in principle more photons → noise ↓ but dose ↑- today CT noise is defined by physical limit of quantum statistics of X-ray tube
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 45Modulation Transfer Function (MTF)
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
CT image of a thin wirepoint spread function
(PSF)modulation transfer
function (MTF)
convolution kernel
high resolution
standardsmoothing
2% value
quarter jumping high res. 2% valueoffset focus comb
Yes Yes Yes 15.8
Yes Yes No 13.7Yes No No 11.7
No No No 8.7
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 46CT Artifacts: Metallic Implants
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 47CT Artifacts: Patient Movement
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 48
CT slice
bonesoft tissue
CT Artifacts: Partial Volume Effect Principle
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 49
bonesoft tissue
CT Artifacts: Partial Volume Effect Principle
CT slice
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 50
CT slice
bonesoft tissue
CT Artifacts: Partial Volume Effect Principle
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 51
source: Dössel. “Bildgebende Verfahren in der Medizin” 2000
CT Artifacts: Partial Volume Effect I
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 52
values of ln(J0/J) of different projection directions are not in agreement !
source: Dössel. “Bildgebende Verfahren in der Medizin” 2000
CT Artifacts: Partial Volume Effect II
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 53
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
CT Artifacts: Partial Volume Effect III
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 54
- in general: µ = µ(x,y,E) – attenuation of radiation
dEdE
EdJJE
E
⋅= ∫)(0
0
max
min
dEedE
EdJJdlEyx
E
E
⋅∫⋅=⋅−
∫),,(0 )(max
min
μ
- beam hardening artifacts:
dependent on the energy the polychromatic spectrum of X-ray radiation is differently attenuated and the mean energy of the spectrum increases in thick objects
CT Artifacts: Beam Hardening I
source: Dössel. “Bildgebende Verfahren in der Medizin”, 2000
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 55
“Hounsfield balk”(corpus callosum)
CT Artifacts: Beam Hardening II
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 56CT Artifacts: Scattering
source: Dössel. “Bildgebende Verfahren in der Medizin” 2000
scatterintensity
primaryintensity
primarybeam
scatterintensity
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 57CT Dose Aspects I
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
frequency of radiological examinations
fraction to collective effective dose
- dose ~ mAs (X-ray tube current)- SNR ~ √number of photons- dose@CT = doseCT / pitch
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 58CT Dose Aspects II
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
a.p.-projection a.p.-projection
intensitynoise
- anatomy adapted X-ray tube current
- dose reduction ~ 50%
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RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineProf. Dr. Lothar Schad
12/9/2008 | Page 59CT Dose Aspects III
source: Kalender. Computertomographie, Publicis MCD Verlag 2000
induction of radiation damage
effective dose at CT:typical value 1-10 mSv
biological effective cell damage
low dose area
activation of cell prevention factors
dose [mSv]
effect