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Файл:Ординатура / Хирургия / Библиотека им академика М.И. Перельмана / Книга_5545_Библиотеки_им_академика_М_И_Перельмана.pdf
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- •Preface
- •Contents
- •1: Structure of Matter
- •2: Radioactive Decay
- •2.1 Spontaneous Fission
- •1.1.1 Radiation
- •1.2 The Atom
- •1.2.3 Nuclear Binding Energy
- •1.3 Nuclear Nomenclature
- •1.5 Questions
- •Suggested Readings
- •2.2 Isomeric Transition
- •2.2.1 Gamma (γ)-Ray Emission
- •2.2.2 Internal Conversion
- •2.2.2.1 Problem 2.1
- •2.2.2.2 Answer
- •2.3 Alpha (α)-Decay
- •2.4 Beta (β−)-Decay
- •2.5 Positron (β+)-Decay
- •2.6 Electron Capture
- •2.7 Questions
- •Suggested Readings
- •3.1 Radioactive Decay Equation
- •3.1.1 General Equation
- •3.1.2 Half-Life
- •3.1.3 Mean Life
- •3.1.4 Effective Half-Life
- •3.2 Units of Radioactivity
- •3.3 Specific Activity
- •3.4 Calculation
- •3.5 Successive Decay Equations
- •3.5.1 General Equation
- •3.5.2 Transient Equilibrium
- •3.5.3 Secular Equilibrium
- •3.6 Questions
- •Suggested Readings
- •4.5 Poisson Distribution
- •4.6 Gaussian Distribution
- •4.7 Chi-Square Test
- •4.8 Minimum Detectable Activity
- •4.10 Questions
- •Suggested Readings
- •5.1 Cyclotron-Produced Radionuclides
- •5.2 Reactor-Produced Radionuclides
- •5.2.1 Fission or (n, f) Reaction
- •5.2.2 Neutron Capture or (n, γ) Reaction
- •5.6 Radionuclide Generators
- •5.8 Questions
- •Suggested Readings
- •6.1.1 Specific Ionization
- •6.1.2 Linear Energy Transfer
- •6.1.3 Range
- •6.1.4 Bremsstrahlung
- •6.1.5 Positron Annihilation
- •6.2.1.1 Photoelectric Effect
- •6.2.1.2 Compton Scattering
- •6.2.1.3 Pair Production
- •6.2.1.4 Raleigh Scattering
- •6.2.1.5 Photodisintegration
- •6.3.2 Half-Value Layer
- •6.5 Questions
- •Suggested Readings
- •7: Gas-Filled Detector
- •7.1 Principles of Gas-Filled Detector
- •7.2 Ionization Chamber
- •7.2.1 Ion Chamber Survey Meter
- •7.2.2 Dose Calibrator
- •7.2.2.1 Constancy
- •7.2.2.2 Accuracy
- •7.2.2.3 Linearity
- •7.2.2.4 Geometry
- •7.2.3 Pocket Dosimeter
- •7.3 Proportional Counter
- •7.4 Geiger–Müller Counter
- •7.5 Questions
- •Suggested Readings
- •8.1 Scintillation Counter
- •8.4.3 Characteristic X-Ray Peak
- •8.4.4 Backscatter Peak
- •8.4.5 Iodine Escape Peak
- •8.2 Solid Scintillation Detector
- •8.2.1 NaI (Tl) Detector
- •8.2.2 Bismuth Germanate Detector
- •8.2.3 Barium Fluoride Detector
- •8.2.4 Lutetium Oxyorthosilicate Detector
- •8.2.5 Gadolinium Oxyorthosilicate Detector
- •8.2.6 Yttrium Oxyorthosilicate Detector
- •8.2.7 Yttrium Aluminum Perovskite Detector
- •8.2.8 Lutetium Yttrium Oxyorthosilicate Detector
- •8.2.9 Lanthanum Bromide Detector
- •8.3 Solid-State Detector
- •8.3.2 Cadmium–Zinc–Tellurium Detector
- •8.3.3 Cesium Iodide (CsI(Tl)) Detector
- •8.3.4 Solid Scintillation Counter
- •8.3.4.1 NaI(Tl) Detector
- •8.3.4.2 Photomultiplier Tube
- •8.3.4.3 Preamplifier
- •8.3.4.4 Linear Amplifier
- •8.3.4.5 Pulse-Height Analyzer
- •8.3.4.6 Display or Storage
- •8.4 Gamma-Ray Spectrometry
- •8.4.1 Photopeak
- •8.4.6 Positron Annihilation Peak
- •8.4.7 Coincidence Peak
- •8.5 Liquid Scintillation Counter
- •8.5.1 Quenching
- •8.6.1 Energy Resolution
- •8.6.2 Detection Efficiency
- •8.6.2.1 Intrinsic Efficiency
- •8.6.2.2 Photopeak Efficiency or Photofraction
- •8.6.2.3 Geometric Efficiency
- •8.6.3 Dead Time
- •8.7 Gamma Well Counter
- •8.8 Thyroid Probe
- •8.8.1 Thyroid Uptake Measurement
- •8.9 Questions
- •Suggested Readings
- •9: Gamma Camera
- •9.1 Gamma Camera
- •9.1.2 Detector
- •9.1.3 Collimator
- •9.1.4 Photomultiplier Tube
- •9.1.5 X-, Y-Positioning Circuit
- •9.1.6 Pulse-Height Analyzer
- •9.2 Digital Camera
- •9.2.1 Solid State Digital Camera
- •9.3 Questions
- •Suggested Readings
- •10.1.1 Spatial Resolution
- •10.1.1.1 Intrinsic Resolution
- •10.1.1.2 Collimator Resolution
- •10.1.1.3 Scatter Resolution
- •10.1.2.1 Bar Phantom
- •10.1.2.2 Line-Spread Function
- •10.1.2.3 Modulation Transfer Function
- •10.1.3 Sensitivity
- •10.1.3.1 Collimator Efficiency
- •10.1.4 Uniformity
- •10.1.5 Pulse-Height Variation
- •10.1.6 Nonlinearity
- •10.1.7 Edge Packing
- •10.2 Gamma Camera Tuning
- •10.4 Contrast
- •10.4.1 Count Density
- •10.4.2 Image Noise
- •10.4.4 High Count Rate
- •10.4.6 Patient Motion
- •10.5.1 Daily Checks
- •10.5.1.2 Uniformity
- •10.5.2 Weekly Checks
- •10.5.3 Monthly Checks
- •10.5.3.1 High-Count Uniformity Calibration
- •10.5.3.2 Collimator Integrity
- •10.5.4 Annual, Semiannual, or As-Needed Checks
- •10.6 Questions
- •References and Suggested Readings
- •11.1.1 Central Processing Unit
- •11.1.2 Computer Memory
- •11.1.3 External Storage Device
- •11.1.4 Input/Output Device
- •11.1.7 Digital-to-Analog Conversion
- •11.1.8 Digital Image
- •11.2.1 Digital Data Acquisition
- •11.2.2 Static Study
- •11.2.3 Dynamic Study
- •11.2.4 Gated Study
- •11.2.7 Display
- •11.3.1 PACS
- •11.4 Questions
- •Suggested Readings
- •12: Single Photon Emission Computed Tomography
- •12.1 Tomographic Imaging
- •12.2 Single Photon Emission Computed Tomography
- •12.2.1 Data Acquisition
- •12.2.2 Image Reconstruction
- •12.2.2.1 Simple Backprojection
- •12.2.2.2 Filtered Backprojection
- •12.2.2.3 The Convolution Method
- •12.2.2.4 The Fourier Method
- •12.2.2.6 Iterative Reconstruction
- •12.3 SPECT/CT Scanner
- •12.4 Factors Affecting SPECT
- •12.4.1 Photon Attenuation
- •12.4.2 Attenuation Correction Methods
- •12.5 Partial-Volume Effect
- •12.5.2 Sampling
- •12.5.3 Scattering
- •12.6.1 Spatial Resolution
- •12.6.2 Sensitivity
- •12.6.3 Other Parameters
- •12.7.1 Daily Tests
- •12.7.2 Weekly Tests
- •12.7.2.1 Spatial Resolution
- •12.9 Questions
- •References and Suggested Readings
- •13: Positron Emission Tomography
- •13.1 Introduction
- •13.2 PET Radiopharmaceuticals
- •13.3.2 Block Detector
- •13.5 Coincidence Timing Window
- •13.6 PET/CT Scanner
- •13.7 PET/MR Scanner
- •13.7.2 MR Scanner
- •13.7.3 Commercial PET/MR Scanner
- •13.8 Mobile PET or PET/CT Scanner
- •13.9 Micro-PET Scanner
- •13.11 Data Acquisition
- •13.12 Image Reconstruction
- •13.13 Factors Affecting PET
- •13.13.1 Normalization
- •13.13.2 Photon Attenuation Correction
- •13.13.4 Random Coincidences
- •13.13.5 Scatter Coincidences
- •13.13.6 Dead Time
- •13.13.7 Radial Elongation
- •13.14.1 Spatial Resolution
- •13.14.2 Sensitivity
- •13.14.2.1 Noise Equivalent Count Rate
- •13.15.1 Daily Tests
- •13.15.1.1 Sinogram Check
- •13.15.2 Weekly Tests
- •13.15.2.1 Normalization
- •13.18 Questions
- •References and Suggested Reading
- •14.1 Background
- •14.5 Artificial Neural Network
- •14.7 Machine Learning
- •14.7.1 Decision Tree
- •14.7.2 Random Forest
- •14.7.3 Support Vector Machine
- •14.7.4 Computer Vision
- •14.8 Deep Learning
- •14.8.1 Convolutional Network
- •14.8.2 Recurrent Neural Network
- •14.8.3 Generative Adversarial Network
- •14.8.4 Transfer Learning
- •14.9 Radiomics
- •14.10 Natural Language Processing
- •14.11 Large Language Model
- •14.12 Generative Artificial Intelligence
- •14.13.1 Prompt
- •14.13.2 Token
- •14.13.3 Hallucination
- •14.13.4 Deepfake
- •14.13.5 Overfitting
- •14.15 Chatbot
- •14.18 Legal Implication
- •14.20 Questions
- •References
- •15.1 Introduction
- •15.2.1 Scheduling
- •15.2.2 Image Acquisition
- •15.2.3 Image Processing
- •15.2.4 Interpretation
- •15.2.5 Reporting
- •15.3.1 Oncology
- •15.3.2 Cardiovascular Disease
- •15.3.3 Bone Scintigraphy
- •15.3.4 Thyroid Imaging
- •15.5 Drug Development
- •15.6 Questions
- •References and Suggested Reading
- •16: Internal Radiation Dosimetry
- •16.1 Radiation Unit
- •16.1.1 Roentgen
- •16.1.2 Rad
- •16.1.3 Gray
- •16.1.4 Rem
- •16.1.5 Radiation Weighting Factor
- •16.1.6 Quality Factor
- •16.1.7 Sievert
- •16.2 Dose Calculation
- •16.2.1 Radiation Dose Rate
- •16.2.2 Cumulative Radiation Dose
- •16.2.3 Factors Affecting Ã
- •16.2.4 The S Values
- •16.4 Pediatric Dosage
- •16.5 Questions
- •References and Suggested Readings
- •17: Radiation Biology
- •17.1 The Cell
- •17.2.1 DNA Molecule
- •17.2.2 Chromosome
- •17.5 Cell Survival Curves
- •17.6 Factors Affecting Radiosensitivity
- •17.6.1 Dose Rate
- •17.6.2 Linear Energy Transfer
- •17.6.4 Chemicals
- •17.7 Radiosensitizer
- •17.7.1 Oxygen
- •17.7.2 Pyrimidine
- •17.7.3 Others
- •17.8 Radioprotector
- •17.9 Apoptosis
- •17.13.1 Hematopoietic Syndrome
- •17.13.2 Gastrointestinal Syndrome
- •17.13.3 Cerebrovascular Syndrome
- •17.14.1 Somatic Effects
- •17.14.1.1 Carcinogenesis
- •17.14.1.3 Dose–Response Relationship
- •17.14.1.5 Leukemia
- •17.14.1.6 Breast Cancer
- •17.14.1.7 Other Cancers
- •17.14.1.10 Nonspecific Life-Shortening
- •17.14.1.11 Cataractogenesis
- •17.14.2 Genetic Effects
- •17.14.2.1 Spontaneous Mutation
- •17.14.2.2 Doubling Dose
- •17.14.2.3 Genetically Significant Dose
- •17.17 Questions
- •References and Suggested Readings
- •18.1 Introduction
- •18.2 Radiation Protection
- •18.2.3 Occupational Dose Limits
- •18.2.4 ALARA Program
- •18.2.5.1 Time
- •18.2.5.2 Distance
- •18.2.5.3 Shielding
- •18.2.5.4 Activity
- •18.2.6 Personnel Monitoring
- •18.2.6.1 Film Badge
- •18.2.6.2 Thermoluminescent Dosimeter
- •18.2.6.3 Optically Stimulated Luminescence Dosimeter
- •18.3 Radiation Regulations
- •18.3.1 License
- •18.3.1.1 General License
- •18.3.1.2 Specific License of Limited Scope
- •18.3.1.3 Specific Licenses of Broad Scope
- •18.3.2 Radiation Safety Committee
- •18.3.3 Radiation Safety Officer
- •18.3.4.3 Supervision
- •18.3.4.4 Mobile Nuclear Medicine Service
- •18.3.4.5 Written Directives
- •18.4 Bioassay
- •18.6 Radioactive Waste Disposal
- •18.6.2 Release into Sewerage Systems
- •18.6.4 Other Disposal Methods
- •18.7 Radioactive Spill
- •18.8 Recordkeeping
- •18.10 Dirty Bombs
- •18.11 Types of Accidental Radiation Exposure
- •18.12 Protective Measures in Case of Explosion of a Dirty Bomb
- •18.13 Verification Card for Radioactive Patients
- •18.14 Radiation Phobia
- •18.15 European Regulations Governing Radiation
- •18.16 Questions
- •References and Suggested Readings
- •Index

186
q
qa
m
(
)
∑
∑
∑
12 Single Photon Emission Computed Tomography
For ASIRT:
pa
−
n
+
1
k
=+
j
1
k
q
j
∑
n
i
a
ij
i
ij jkij
j
m
a
ij
j
(12.6)
where k is the iteration number. In the MLEM method, the data are considered a
Poisson distribution and in the ASIRT method, they are assumed to be a Gaussian
distribution. A ow chart of sequential steps of the iterative method is shown in
Fig.12.14.
The main feature of the iterative method is to update the estimated image during
each iteration to agree with the measured image, and requires many iterations to
achieve a satisfactory agreement, demanding a lengthy computation time. To expedite the iteration process, the ordered subset expectation maximization (OSEM)
algorithm has been introduced, which is a modication of MLEM, in that projections are grouped into a number of subsets separated by some xed projection
angles. The number of projections are grouped equally in each subset. For example,
if there are 48 projections, they can be divided into eight subsets, each containing
six projections. The projections in each subset are not contiguous but are spread
over all angular projections so that the rst subset will contain projections 1, 7, 13,
19, and so on, and the second set will have projections 2, 8, 14, 20, and so on, and
so goes for the remaining subsets. For each subset, MLEM is applied, and the
expected projection values are computed from the estimation of pixel values in all
projections in the subset and compared with the measured image. The variance in
pi/qi or (pi−qi) is applied to the pixel values to give the next subset. This is repeated
for all subsets. After all subsets are processed, a single iteration is considered complete. Such iteration is repeated until an expected agreement is achieved between
the estimated and measured images. It has been shown that if there are n subsets
Fig. 12.14 A ow chart of sequential steps in the iterative reconstruction algorithm

12.2 Single Photon Emission Computed Tomography
187
and, once all subsets are used in a single iteration of OSEM, an estimate is produced
which is similar to that obtained by n iterations of MLEM using all projections
(Hudson and Larkin 1994). It is this property of OSEM that accelerates the computation process, and, in general, the computation time decreases when more projections are included in each subset. However, there is a tendency of having more
image variance with increasing number of subsets when compared to MLEM. So an
optimum number of subsets need to be chosen.
To illustrate the OSEM method, consider an example of a 2× 2 true image
whose pixel values are 2, 4, 6, and 8, which are not known and need to be determined (Fig.12.15). However, the measured pi values at 4 projection angles (6 and
14 at 90°, 10 at 45°, 8 and 12 at 0°, and 10 at 135°) are known. In the OSEM
method, initially the rst estimate of the image is assumed with some arbitrary
Fig. 12.15 Illustration of iterative reconstruction of an image represented by a 2 × 2 image.
Known are ith bin values (sum), 8 and 12 at 0° projection, 10 at 45° projection, 14 and 6 at 90°
projection, and 10 at 135° projection. Initially, an estimate of the image in a 2×2 matrix is
assumed to have arbitrary values of 4in each pixel. From these values, the estimated ith bin values
are calculated for a given projection, e.g., 8 and 8 at 0° projection. The ratios of true to estimated
values are calculated as 1.0 and 1.5, which are then applied to update the estimated image, which
becomes the rst subset. The estimated ith bin values are calculated for the next projection (90°
projection) and the ratios are calculated and applied to generate the next subset. When a comparison of all bin values of all projections is made, an iteration is complete. Iterations are repeated until
an acceptable agreement is achieved between the estimated image and measured image

188
ab
12 Single Photon Emission Computed Tomography
values of, say, 4, 4, 4, and 4in each pixel. Instead of 4, any other positive values can
be assigned. The pixel values in the two columns at the 0° projection are added to
give qi values of 8 and 8. The ratios, pi/qi, are calculated as 8/8=1.0 and 12/8=1.5
(comparison). The pixel values in each column are then corrected by these ratios
(backprojection): 4×1=4, 4×1=4; and 4×1.5=6 and 4×1.5=6, resulting in
the rst subset. Next, the qi values are calculated for the 90° projection by adding
the pixel values in each row, that is, 4+6=10 and 4+6=10 and the pi/qi values
are 6/10=0.6 and 14/10=1.4. The pixel values are corrected to give the second
subset with values as 4×0.6=2.4, 6×0.6=3.6, 4×1.4=5.6 and 6×1.4=8.4.
For the third subset, the diagonal pixel values at 45° and 135° projections are added,
the pi/qi values calculated and corrections are applied. This is the end of the rst
iteration, and iterations are repeated for better agreement. Refer to the references
(Hudson and Larkin 1994; Shepp and Vardi 1982) for a detailed description of the
iterative methods.
Corrections for detection efciency variations, noise component, random coincidences, scatter coincidences, and photon attenuation are made prior to reconstruction in the FBP method. In the MLEM or OSEM method, these factors are
incorporated a priori in the estimated image and need not be applied separately. In
general, iterative reconstruction methods do not produce artifacts that are observed
with the FBP method and provide a better signal-to-noise ratio in regions of low
tracer uptake (Fig.12.16). Overall, iterative methods provide high-quality images
and are routinely used in image reconstruction in PET and SPECT.Despite many
improvements in the OSEM method, it is a big challenge to have good-quality
images in obese patients.
Another algorithm, the row-action maximum likelihood algorithm (RAMLA),
has been proposed as a special case of OSEM requiring sequences of orthogonal
projections, which lead to faster convergence than OSEM itself.
Fig. 12.16 Comparison of
(a) ltered backprojection
and (b) iterative OSEM
method with attenuation
correction

12.3 SPECT/CT Scanner
189
12.3 SPECT/CT Scanner
Accurate medical diagnosis of human disease can be made if both the anatomical
and functional status of the patient’s disease are known. In the interpretation of
nuclear medicine studies, physicians always like to have a comparison between
high-resolution CT or MR images and low-resolution PET or SPECT images for
accurate localization of lesions. In PET and SPECT imaging, invivo measurement
of organ physiology, cellular metabolism, and perfusion, and other functional status
of the organ is made. However, these studies have poor resolution due to poor photon ux and lack anatomical detail. On the other hand, computed tomography (CT)
or magnetic resonance (MR) imaging provides excellent spatial resolution with
high anatomical detail, but little functional information.
Efforts are made to co-register the two sets of images, in which the matrix size,
voxel intensity, and rotation are adjusted to establish one-to-one spatial correspondence between the two images. Various techniques of such alignment are employed,
and co-registered images are displayed side by side with a linked cursor indicating
spatial correspondence, or may be overlaid or fused using the gray or color scale.
The major drawback of these alignment techniques arises from positional variations
of the patient scanned on different equipment and at different times. Furthermore,
patient motion, voluntary or involuntary, adds to the uncertainty in the coregistration. Even with the sophisticated algorithm, a misalignment of 2–3mm is
not uncommon.
To overcome the problem of positional variations in alignment of images from
different equipment, a dual-modality system has been introduced, in which a SPECT
camera and a CT scanner are combined into a single system for imaging the patient
in the same clinical setting. Both units are mounted on the same gantry, with the
SPECT camera in the front and the CT scanner in the back, and use a common
imaging table. The two units are mounted xed; therefore, the centers of the scan
elds of SPECT and CT scanners are separated by a xed distance, called the displacement distance. The axial travel range of the scanning table varies with different
designs of the manufacturers. The scan eld is limited by the maximum travel range
of the table minus the displacement distance.
The details of CT scanners are found in standard textbooks on CT and only a
brief summary is given here. The CT scanner consists of an x-ray producing tube
that contains a cathode lament and a rotating tungsten anode. When a high voltage
(kV) is applied to the lament, electrons are emitted from it, which strike the rotating anode producing brehmsstrahlung and characteristic K X-rays. These radiations
are then focused onto an intense beam to project toward the object of irradiation.
The beam energy typically ranges from 70 to 140keV in energy depending on the
high voltage applied. When a beam is projected through a patient, the transmitted
beam is detected by detectors on the opposite side of the body and processed to
produce signals that are stored in a matrix of choice (64×64, 128×128, etc.) in a
computer. The stored data are further processed to form the image of different organs.

190
ab
12 Single Photon Emission Computed Tomography
The detectors in CT scanners are made of materials such as ceramics, gadolinium oxysulde, and gemstone, and in some units, xenon gas. X-rays interact with
these detector materials and produce visible light that is processed by a photodiode,
producing a signal. Normally, a large number of such detectors are arranged in a full
ring or in a partial ring in the form of an arc around the patient. In the full ring system, the detectors are xed in 360° around the patient and the x-ray tube rotates
around (Fig.12.17a), whereas in the partial ring, both the detectors and the x-ray
tube are mechanically tied together in 180° opposition in the gantry and the two
together rotate around the patient (Fig.12.17b). The detected data are acquired in
seconds and stored in a matrix of choice (64×64, 128×128, etc.) in a computer.
The stored data are then processed to reconstruct subject images in different projections. Currently, multislice CT scanners are available, providing 6, 16, 64, or 128
slices. In helical or spiral CT scanners, the patient table moves along the body while
the x-ray tube rotates around the body, resulting in a spiral pattern of motion of the
x-ray tube around the subject. This technique reduces the time of scanning to a few
seconds.
When x-rays are projected through the patient’s body, they are attenuated by the
tissues to varying degrees depending on the density of the tissues. The transmitted
beam produces different shadows of the tissues on the detection system (x-ray lm,
computer, etc.) due to varied attenuation, which are often obscured by the shadow
of the adjacent organs or tissues. This problem can be overcome by having separate
images at two x-ray energies, e.g., 70 and 140keV, and removing the shadow intensity from the intended image by coregistration using a software algorithm. However,
to avoid performing duplicate studies in different settings, manufacturers install two
x-ray tubes in the same CT scanner (Siemen’s Somatom) to operate at two energies
separately or in some CT scanners (GE Healthcare’s Lightspeed) with a single x-ray
tube, which can be switched between two energies in a fraction of a second. These
Fig. 12.17 (a) Full ring x-ray unit. (b) Partial ring x-ray unit

12.3 SPECT/CT Scanner
191
dual energy CT scanners reduce scan time, lessening the radiation exposure to the
patient, and provide high contrast images.
Commercial SPECT/CT scanners are marketed by GE Healthcare (Discovery
NM/CT 670), Philips Healthcare (BrightView XCT), Siemens Healthcare (Symbia
T16), and Digirad (Cardius X-ACT). Some features of SPECT/CT scanners from
three manufacturers are presented in Table12.2, and Siemens Healthereen SYMBIA
Pro specta SPECT CT scanner is illustratd in Fig.12.18.
Either CT or SPECT imaging can be performed rst, followed by the other. For
example, CT images are taken rst with the organ of interest in the CT eld of view.
Next, the scan table with the patient in the same position is moved to the center of
Table 12.2 Some features of SPECT/CT scanners from three manufacturerers
Manucturerer GE healthcare
Model Innia Hawkeye 4 BrightView
Detector
characteristics
Crystal
dimension, cm
Crystal thickness,
inch
Diameter =, in
(cm)
Number of PMTs
Attenuation corr. Ye s CT-AC CT-AC
UFOV, cm 54×40 40.6×54 53.3×38.7
Maximum count
rate, cps
Dead time, μsec 0.5 1.3 N/A
Intrinsic spatial
resol, mm
FWHM, CFOV 3.8/4.5
FWHM, UFOV 3.9/4.5
FWTM, CFOV 7.1/8.3
FWTM, UFOV 7.2/8.5
System
Sensitivity
(LEHR)
Integral UFOV 3.60% 2.50% <3.7% (uncorrected)
Differential
UFOV
59.7×45.7 52×64 59.1×44.5
3.8″×1″ (9.5mm or 25.4mm)
59(3/8″) or 95 (1″)
460 350 310 at 15%
170
2.30% 2.00% <2.7% (uncorrected)
Philips
heathcare Siemens healthineer
XCT
9.5 or 19.1
59 59
3/8″–3.3mm;
3/4″–4.3mm
3/8″–3.3mm;
3/4″–4.3mm
3/8″–6.3mm;
3/4″–8.0mm
3/8″–6.3mm;
3/4″–8.0mm
3/8″–277;
3/4″–311
Symbia Pro Specta
Q3
3.8″ or 5/8″(9.5 or
15.9mm)
3 or 2 (7.6 or 5.1)
≤3.8mm (3/8);
≤4.5mm (5/8)
≤3.9mm (3/8);
≤4.6mm (5/8)
≤7.5mm (3/8);
≤8.7mm (5/8)
≤7.7mm (3/8);
≤8.9mm (5/8)
203cpm/μCi (3/8);
225cpm/μCi (5/8)
(continued)

192
12 Single Photon Emission Computed Tomography
Table 12.2
Manucturerer GE healthcare
CT physical
assembly
Type of detector CdWO4 mounted on a slip-ring High res fat
Number of
channls
Generator output 350 watts 32kWmin;
Gantry weight,
kg, (lb)
LC resolution
(20cm Catph./
surface)
Scan feld, cm 45cm, 56.5cm WFOV SW Optic 47 50cm/70cm with
Number of slices 4 140 @ 1cm
Slice thickness, mm5 0.33–2.00+ 0.6, 0.8, 1, 1.5, 2, 3,
CTDI (dose/100
mAs) B/16cm
Phant
Max HC
resolution (2%
MTF)
Std HC resolution
(2% MTF)
Adapted from ‘SPECT-CT Systems Comparison Chart’, February 5, 2024, Imaging Technology
News (ITN),
Reprinted with permission
(continued)
Philips
heathcare Siemens healthineer
panel
1536 786,432 12,288
50kW max
6172 (2800) 2041 (4500) 3710.8 (8180.8)
4mm 5.0mm @
B(32cm phant)
CTDIvol=3m(16cm phant.
CTDIvol=4.3mGy; & 2.5mA max
available current, 140kV, helical
scan
3 lp/cm 15 lp/cm @
4 lp/cm 5 lp/cm @
https://www.itnonline.com/chart/spect- ctsystems. Copyright 2024 by Wainscot Media
0.5%
thick
3mGy/100
mAs
10% MTF
10% MTF
Stellar detector
32kW; equivalent
80kW maximum
generator power with
SAFIRE
5mm
HD FoV Pro
32
4, 5, 6, 7, 8, 10
13.4/14.9
15.0 lp/cm
the SPECT FOV, and images are taken. Both CT (anatomical) and SPECT (functional) images are reconstructed and then fused together by applying appropriate
alignment algorithms. Various vendors provide commercially available fusion software, namely, Syngo of Siemens Healthcare, Extended Brilliance Workspace of
Philips Healthcare, MIM of MIMVISTA, and Centricity of GE Healthcare. Because
the position of the patient on the table does not change, both CT and SPECT images
are aligned very accurately, and the overall accuracy is improved by 20–25% compared to either modality alone.

0
12.4 Factors Aecting SPECT
Fig. 12.18 Siemens
Healthereen SYMBIA Pro
specta SPECT CT scanner.
(Courtesy of Siemens
Medical Solutions USA,
Inc.)
193
A major advantage of including CT in the dual-modality is that the CT data can
be utilized in attenuation correction of SPECT data, which is particularly useful in
cardiac perfusion imaging. Apparent perfusion defects are often seen in the anterior
wall in women due to breast position and in the inferior wall in men, and soft-tissue
attenuation also shifts between rest and stress images. As will be described later,
attenuation correction using CT transmission data compensates for these artifacts
more accurately in a shorter time than using the conventional sealed source transmission data. Such CT transmission attenuation correction can be applied to other
organ imaging as well.
12.4 Factors Affecting SPECT
12.4.1 Photon Attenuation
γ-Ray photons are attenuated in body tissue while passing through a patient. The
degree of attenuation depends on the photon energy, the thickness of tissue, and the
linear attenuation coefcient of the photons in the tissue. If I0 is the number of photons emitted from an organ, and I is the number of photons detected by the gamma
camera, then
µx
−
IIe
=
where μ is the linear attenuation coefcient of the photon in tissue and x is the depth
of tissue traversed by the photon (Fig.12.19b). Photons originate from different
depths of tissue, which are not exactly known, and so are attenuated to different
extents (Fig.12.19a). Attenuation causes a gradual decrease of count density from
the edge to the center of the image (Fig.12.20a). If SPECT images are reconstructed
from these attenuated proles without correction, artifacts are seen. Attenuation
corrections are difcult to apply to the attenuated photons due to lack of knowledge
about I and x in Eq. (12.7). Attempts have been made over the years to devise
(12.7)

194
a b
detector patient
I
II
ab
+
()
2
I
gab
()
12/
X
X
1
2
Fig. 12.19 (a) Illustration of photons traveling different depths of tissue, thus suffering variable
attenuation. (b) Two photons traversing distances a and b are detected by the two detectors oriented at 180°. Attenuation correction can be applied by taking the geometric mean of the two
counts I
and Ib and using the total thickness D of the tissue in place of a and b separately
a
X
3
12 Single Photon Emission Computed Tomography
D
l
a
*
b a
l
b
methods of attenuation correction in SPECT imaging, with particular attention to
estimate the values of I and x, and given below is a brief description of the commonly used ones.
12.4.2 Attenuation Correction Methods
In SPECT imaging, two techniques are employed to estimate I0. One is to obtain
two counts in opposite projections and then taking the arithmetic mean of the two,
or secondly, taking their geometric mean. This is accomplished by acquiring SPECT
data in 360° and sorting the counts in opposite projections to calculate the arithmetic or geometric mean. The arithmetic mean is given by
=
where Ia and Ib are the measured attenuated counts in the opposite projections.
Similarly, the geometric mean is given by
t
IxI
=
(12.8)
(12.9)

()
()
−−
()
µµ
I Ie
2//
=
µ
I
Di
=−
()
−
µ
µ
Object profile with
12.4 Factors Aecting SPECT
195
Considering Fig.12.19 and applying Eqs. (12.7 and 12.9) becomes
/
IIxI
=
gab
=×
Ie Ie
a
00
=×
II e
()
ab
00
=
III e
×
()
ab
00
12
/
/
b
2
12
b
−+
µ
ab
−//
µ
D
12
2
/
2
(12.10)
a
I
where Ia0 and Ib0 are the unattenuated counts detected in opposition and D is the total
thickness of the tissue. For parallel-hole collimators, which are most commonly
used in SPECT imaging, the photon intensity does not change with distance, i.e., Ia0
and Ib0 are approximately equal. Then Eq. (12.10) becomes
gD0
(12.11)
Equation (12.11) is the attenuation correction factor that is applied to the geometric mean counts to obtain the unattenuated correct counts. For the arithmetic
mean, assuming a uniform uptake of the tracer and a constant μ value for all tissues,
the attenuation correction factor is
ID e
ti
0
1//
(12.12)
Equations (12.11) and (12.12) are applied for attenuation corrections using geometric and arithmetic means of SPECT projection data. For
99m
Tc studies, a value of
0.12cm−1 is assumed for μ, and Di is empirically estimated from standard body
shape and size. Corrections are applied to the measured projections, which are then
used for reconstruction of the images by ltered backprojection. A simulated picture of attenuation corrected image is shown in Fig.12.20b.
Fig. 12.20 (a) Object
prole without attenuation
correction showing
decreased distribution of
activity at the center. (b)
The same object prole
with attenuation correction
Object profile
wiithout AC
AC
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