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Image Correction Techniques in SPECT and PET332
where the radionuclide image f(x,y) is first reconstructed without attenuation correction. The denominator represents the multiplicative correction term for photon attenuation in which M is the total number of projections used to acquire the radionuclide data and li is the distance from the point (x,y) to the border of the object in the ith radionuclide projection. When the object being imaged has an extended geometry, the correction term expressed in equation- 3 overcompensates the image for photon attenuation which results in overcorrection in some parts of the image and undercorrection in other parts. In these cases, the accuracy of the photon attenuation correction can be improved using an iterative technique (referred to as the “iterative Chang technique”) in which the initially corrected image fAC(x,y) is reprojected mathematically to form a set of projection data that simulate the radionuclide imaging process in a way that includes a priori information about the physical extent and linear attenuation coefficient distribution of the object. The new estimated projections then can be subtracted from the original measured projection data to calculate an error term that can be backprojected using filtered backprojection reconstruction or other reconstruction techniques, which then can be used to correct the radionuclide tomograms initially obtained from filtered backprojection. In spite of its theoretical shortcomings, Chang’s method has been used widely in multiple clinical applications and research studies. Other less popular approaches have been described elsewhere (5) and will not be repeated here.
Since most anatomical regions are heterogeneous in their anatomical structure and tissue composition, the radionuclide data inherently contain errors contributed by photon attenuation. In addition, significant errors in the radionuclide image can be contributed by other physical effects such as scattered radiation and the finite spatial resolution of the imaging system (including the geometrical response of the collimator in the case of SPECT) that are not accounted for in these reconstruction techniques. As discussed earlier, PET images can be reconstructed using either analytic or iterative techniques, whereas nonuniform attenuation correction for SPECT generally requires iterative reconstruction. Several different iterative reconstruction methods have been developed and evaluated for radionuclide imaging. Early techniques used additive correction terms in each iterative step to improve computational speed and included the conjugate gradient weighted least squares (CG-WLS) technique. However, most current reconstruction methods are based on the well-known maximum likelihood expectation-maximization (ML-EM) method. This is an iterative reconstruction technique that accounts for the Poisson statistical nature of the radionuclide data, and that can incorporate other physical effects including a projector model that accounts for the geometric response of the collimator. In addition, the ML-EM algorithm has a positivity constraint (i.e., all reconstructed pixel values are non-negative), preserves the integral number of counts in each iterative step, and converges monotonically to a maximum likelihood solution.
Several methods have been devised to achieve accurate quantitative analysis of PET studies. Significant attention has been devoted to optimizing computational performance and to balancing conflicting requirements. Both approximate methods suitable for clinical routine applications and more complicated approaches for research applications where there is greater emphasis on accurate quantitative measurements have also been addressed
GSPant\Newbook\Final-2008\21-chp\332
Image Correction Techniques in SPECT and PET 333
(5).
Because attenuation correction in PET is relatively straightforward and its accuracy being limited only by the noise (statistics) present in the acquired transmission scans, only two techniques have materialized and both require the computation of the attenuation correction factors (ACFs) through forward projection of the attenuation map at appropriate angles. To reduce processing time and data storage requirements for 3-D PET data collection mode, it is often convenient to work with pre-corrected data. This is the basis of the first approach where data correction is carried out in projection space through multiplication of the ACFs by the measured emission data by using the following expression:
AC
),(sp
The attenuation corrected projections ),(
AC
sL
sP
are then used to reconstruct the images
),(),(
dryxfspACF
),(
(4)
using either analytic or iterative reconstruction techniques. An attractive option is to produce a smaller sinogram by pre-correcting the data and applying Fourier rebinning (FORE). However, the data are no longer Poisson distributed. It has been shown that OS-EM yields suboptimal images from such data. Alternatively, when an iterative algorithm (e.g. OS-EM) is used, the ACFs can be used to provide proper statistical weighting to the data as is done in attenuation­weighted OS-EM (AW-OSEM). This latter technique has better noise properties and is now part of commercial software routinely used in many clinical PET facilities. A clinical whole-body
18
F-FDG scan reconstructed without and with attenuation correction is shown in figure 3. The uncorrected image tends to depress the reconstructed activity at the center and might jeopardize deep lesions detectability.
Figure 3. Sagital views of iterative reconstructions of a typical clinical 18F-FDG whole-body scan
GSPant\Newbook\Final-2008\21-chp\333
Image Correction Techniques in SPECT and PET334
without (left) and with (right) attenuation correction. The non-corrected image tends to depress
the reconstructed activity at the centre.
Partial volume effect correction strategies
The limited spatial resolution of PET causes an object to appear enlarged if its true size is less than 2-3 times the system resolution. While the total reconstructed counts within the object are conserved, the count density is decreased from the true value because the data are “smeared” over a larger area. This characteristic is known as the partial volume effect (6).
Attempts to compensate for partial volume effects date back to the time where they were first pointed out as a serious limitation in quantitative analysis. Although the partial volume phenomenon was first addressed in the context of “hot” objects in a “cold” background, emphasizing on the apparent loss of radioactivity due to the small object size with respect to the spatial resolution of the system, it became obvious that it was necessary not only to account for activity “spilling-out” of the “hot” region, but that “spill-in” from the surrounding usually “warm” area should also be accounted for in the regional measurements. Several authors attempted some sort of partial volume correction (PVC) by applying the recovery coefficients formulation.
PVC remains a priority for accurate image quantitation. The ability to compensate for partial volume effects usually requires to: (i) characterize the PSF of the imaging system, (ii) characterize the tissue components that participate in the uptake and metabolism of the tracer, and (iii) characterize the resolution effects in terms of correction factors or maps. Some correction methods require only the original emission data. These include methods making all the necessary corrections for physical effects at the projection level. There has also been a great deal of search for image processing tools that would restore, or at least visually enhance, the noisy images obtained in emission tomography. Those can be regrouped into the general class of filters used during image reconstruction (low-pass filtering), and those used post-reconstruction for the purpose of restoration filtering.
Another approach that does not require additional data is based on the computation of correction factors during mathematical modeling of kinetic data, such as regional cerebral blood flow (CBF) measurement with PET, both in the heart and brain. A distinct class of correction methods requires the definition of the various objects being imaged in addition to the characterization of the scanner’s point-spread function (PSF). These include anatomy-based post-reconstruction correction methods that make use of concomitant high-resolution structural information from MR imaging or CT. These currently constitute the most popular methods and are finding their way to the clinic. Finally, empirical methods based on the derivation of correction factors from experiments with physical test objects remain an active way of characterizing partial volume effects.
Those methods proved to be sufficiently accurate to be applied in a growing number of research studies, if one considers that the number of publications related to the effect of the application of PVC algorithms to research data has grown significantly in the past few years. PVC is now a powerful and reliable tool that should become systematically used in research or
GSPant\Newbook\Final-2008\21-chp\334
Image Correction Techniques in SPECT and PET 335
clinical studies involving the use of emission tomography. It is expected that improvement in all aspects of the prerequisite for accurate partial volume correction are still required, especially for what concerns the quality of anatomo-functional mapping needed for accurate quantitation of cell-specific function and metabolism.
Conclusions
In many situations, absolute quantification is desirable to obtain a truthful representation of the biological process or metabolic function being imaged. In quantitative metabolic imaging studies, there is always a tension between the desire for more data (e.g. MRI, CT, blood samples, … etc), which ultimately improves the understanding of the process being studied and the accuracy of the reported results, vs. logistic considerations, including cost, time, imaging unit throughput and patients or healthy volunteers’ comfort. One must
consider what is logistically possible for the staffina busy clinical nuclear medicine facility
and what is tolerable by the patients and/or subjects. Likewise, accurate quantification requires extensive technical and organizational efforts that may be unaffordable for a small clinical department with limited scientific support. In the clinical setting, it has become standard practice to use simplified imaging protocols compared to the often complex methods developed for research using emission tomography.
The development of newer, faster and more robust algorithms remains an open research field which requires further research and development efforts. In summary, quantitative analysis of nuclear medicine images is an area of considerable research interest and many research groups are very active in this field, leading the nuclear medicine community to forecast a promising progress during the next few years.
References
1. Zaidi H. Ed. Quantitative analysis in nuclear medicine imaging. Springer, New York , 2006.
2. Novikov RG. An inversion formula for the attenuated x-ray transformation. Ark Mat 2004; 40: 145-
167.
3. Zaidi H and Koral KF. Scatter modeling and compensation in emission tomography. Eur J Nucl Med
Mol Imaging 2004; 31: 761–782.
4. Valk PE, Bailey DL, Townsend DW, et al. Eds. Positron Emission Tomography: Basic Science and
Clinical Science. Springer-Verlag, London.
5. Zaidi H and Hasegawa W. Determination of attenuation map in emission tomography. J Nucl Med
2003; 44: 291–315.
6. Rousset O, Rahmim A, Alavi A and Zaidi H. “Strategies for partial volume correction in PET”
PET Clinics 2007; 2: in press.
GSPant\Newbook\Final-2008\21-chp\335
Combined PET/CT: Clinical
Applications
Rakesh Kumar and Madhavi Chawla
Positron Emission Tomography (PET) is a functional diagnostic imaging technique, which can accurately measure the in vivo distribution of a radiopharmaceutical with high resolution. The ability of PET to study various biological processes opens up new possibilities for both research and day-to-day clinical use. Addition of CT to PET improves the detection efficiency and results in better localization of lesions. Therefore, PET-CT has shown better specificity and sensitivity than either PET or CT alone. The most widely used radiotracer in PET is Fluorine18-fluorodeoxyglucose (18F-FDG), an analogue of glucose. The uptake of FDG is mediated by a family of structurally related glucose transporter proteins and is similar to that of glucose (1). Subsequently, it is phosphorylated by the enzyme hexokinase to FDG-6-phosphate (2). However, FDG-6-phosphate is biochemically trapped within the cell since it is not a substrate for glucose-6-phosphate isomerase. Malignant cells are characterized by an enhanced rate of glucose metabolism and express increased number of glucose transporter proteins, such as Glut-1 and Glut-3. They also show increased levels of hexokinase and phosphofructokinase activity, which promote glycolysis (2). In addition to qualitative image display, it is possible to quantify specific uptake value normalized to the injected dose, which is called “standardized uptake value” (SUV). The SUV provides an approximate indicator that correlates with FDG metabolism in the tissue. SUV’s are calculated according to the formula described below. A lesion with an SUV greater than 2.5 is normally considered to have a high probability of malignancy.
SUV
33 6
)/(
gMBqactivityROIMean
)(/)(
gweightbodyMBqdoseInjected
Combined PET/CT : Clinical Applications 337
Both the PET and PET-CT have a very high sensitivity and a high negative predictive value for lesion detection as compared to conventional morphological modalities like computed tomography (CT), ultrasonography (USG) and magnetic resonance imaging (MRI). The role of PET has already been established in initial staging, monitoring the response to therapy, and management of various cancers. Being a functional technique, PET allows diagnosis of pathological processes at a very early phase detecting changes at the molecular level. PET-CT provides better characterization and localisation of lesions as compared to PET and CT alone. Unfortunately, FDG is not a cancer specific agent and its uptake has been described in a number of non­neoplastic inflammatory lesions like sarcoidosis, tuberculosis, fungal infection, and abscesses (3). This increased accumulation is probably related to an increased rate of glycolysis within the activated inflammatory cells. The applications of PET and PET-CT in malignancies, cardiology and neurology are discussed below.
Normal distribution and variants in distribution of FDG
FDG uptake in the thymus is commonly seen in some children, the cause being unclear, but is likely to be related to physical and emotional stressors, which influence thymic metabolism. Rebound thymic hyperplasia is seen in young patients following chemotherapy and enlargement can persist for up to six months following completion.
Cardiac activity is variable ranging from no discernible activity above the background pool activity to intense activity throughout the left ventricle myocardium. In the fasting state where insulin levels are low, FDG uptake in cardiac muscle should be low. Myocardial uptake is enhanced in the presence of high blood glucose levels, therefore cardiac activity is marked in the post-prandial state. However, uptake can be variable even in the fasting state. Increased uptake may be noted in the aorta and great vessels, particularly in artherosclerotic disease.
Glandular breasts show moderate activity, especially in premenopausal women and in women taking estrogen pills, obscuring potential lesions in the breast.
Figure 1: PET image showing normal physiological distribution of 18F-FDG
Combined PET/CT : Clinical Applications338
Skeletal muscle is the most common site of physiological uptake, which is increased by both voluntary and involuntary muscle activity. Muscle uptake is generally symmetrical but sometimes can be asymmetrical, especially in torticollis and unilateral paralysis. Brown fat may also present as foci of increased FDG uptake. With PET alone, it is difficult to interpret normal asymmetrical FDG uptake in muscles and brown fat. However, with the advent of PET-CT, uptake in muscles and brown fat rarely poses interpretation problems. To overcome false positives due to these reasons, patients undergoing PET/PET-CT scan are advised to refrain from exercise, chewing and talking immediately before and after injection of 18F-FDG. Mild sedation may also be needed.
Uptake in the gastrointestinal tract is variable and is mainly due to smooth muscle activity associated with peristalsis, bacterial uptake and due to metabolically active mucosa. Normal mild FDG activity may be seen in the esophagus possibly due to swallowed saliva or smooth muscle metabolism. Stomach is usually faintly seen. Intense FDG uptake may be noted in the pyloric end of stomach due to contraction of these muscles. Uptake in the caecum and right colon is usually higher than in other colonic segments and may be related to abundant lymphoid tissue in this region.
Unlike glucose, FDG is filtered by the glomerulus and is not reabsorbed by the renal tubules. So, significant activity may be displayed in any part of the urinary tract or surgical urinary diversions such as ileal conduits. This activity in the urinary tract may interfere with the interpretation of malignant tumors arising from kidneys, ureters, urinary bladder, cervix, ovary etc.
The liver, spleen and bone marrow normally show homogenous low-grade uptake. Bone marrow and spleen normally show less intense uptake than the liver. Uptake in the bone marrow, spleen and other reticuloendothelial organs may be significant after therapy with colony stimulating factors.
Testicular uptake is normally seen and is symmetrically diffused. However, ovarian uptake is not usually seen. Faint uterine activity is common. Uptake in the uterus has been reported during menstruation and ovulation in pre-menopausal women and in relation to fibroids, but in practice it is an uncommon finding. The normal distribution of 18F-FDG (Figure 1) is summarized in table 1.
Combined PET/CT : Clinical Applications 339
Table 1: Summary of physiological 18F-FDG uptake Region Distribution
Head Cerebral Cortex, cerebellum, thalami, basal ganglia: High uptakeWhite matter (low
uptake)
Neck Salivary glands at the base of the tongue,
Lymphatic tissue in Waldeyer’s ring, tonsils, Muscles of mastication or larynx, trapezius and paraspinal muscles, esophagus,
Brown fat Chest Thymus, Heart, Aorta, Lung, Respiratory muscles, Breasts- variable Abdomen Stomach, Cecum and right colon, Reticuloendothelial system, Liver and Spleen:
Diffuse and low grade Urogenital system, Gonadal activity, Uterine endometrial
accumulation Bone marrow Low uptake Miscellaneous Sites of wounds, surgical incisions, osteotomy, prostheses, vessels
Clinical applications
PET in Oncology
Oncologic imaging involves lesion detection, characterization, evaluation of the extent, staging, assessment of the response to therapy and restaging of malignant disease. Both structural and functional imaging modalities are used for this purpose. Computed tomography (CT) was the most commonly used imaging technique for the management of various malignancies till date. Introduction of positron emission tomography (PET) has improved the management of these patients significantly as it provides information about the functional status of the disease. Since glucose metabolism is increased many fold in malignant tumors, PET images show preferential higher uptake in malignant tumors as compared to normal cells. Recent addition of CT to PET has further improved the value of PET as PET-CT provides functional and structural information in the same setting. In addition CT also provides attenuation correction factors (ACF) for PET images. PET and PET-CT with 18F-FDG is now the standard of care in the initial staging, monitoring the response to the therapy and restaging of lung cancer, colorectal cancer, lymphoma, melanoma, esophageal cancer, head and neck cancer, breast cancer etc.
Solitary Pulmonary Nodule (SPN)
Conventional imaging modalities such as chest radiography and CT have secured an essential role in solitary pulmonary nodules (4). However, these anatomic imaging techniques are limited in their ability to differentiate benign from malignant nodules. 18F-FDG PET can provide additional information and complement structural imaging techniques in the evaluation of such disorders and has been successfully used as a non-invasive diagnostic test for SPN’s in order to differentiate benign lesions from malignancy (5). Interpretation can be performed visually or semi quantitatively.
Combined PET/CT : Clinical Applications340
In the visual interpretation of 18F-FDG PET images, generally focal intense uptake of 18F-FDG greater than the blood pool activity is considered ‘positive’ for malignancy while, lesions that are hypointense to the mediastinum, are considered benign (Figure 2). Quantitative assessment can be made by the use of the standardized uptake value (SUV). In general, SUV over 2.5 is generally considered as characteristic of malignancy. False positives are seen in patients with active granulomatous infection like tuberculosis, sarcoidosis, histoplasmosis or coccidioidomycosis. Delayed PET images taken several hours after 18F-FDG injection (dual time point imaging), along with routine one-hour imaging protocol (6) has shown better results, with malignant nodules showing increased 18F-FDG uptake over time. False Negatives are seen with low-grade tumors like bronchoalveolar carcinoma and bronchial carcinoid (7). In addition, small lesions can be missed on PET imaging due to partial volume effect.
Figure 2: CT, PET and PET-CT Coronal and axial images showing intense 18F-FDG uptake in solitary pulmonary nodule suggestive of malignancy
Lung Cancer
Computed tomography is usually the imaging modality of choice to define the extent of the primary tumor and to assess tumor involvement of pleural surfaces and thoracic wall (8). PET alone may be useful to determine T stage in cases where the nodule is small and clearly confined to the pulmonary parenchyma (Figure 3). For higher levels of T staging it is not useful because of inferior resolution. It is, however, useful to evaluate additional pulmonary nodules in the same lobe and to identify malignant pleural effusion, the presence of 18F-FDG uptake in the pleural space being a bad prognostic sign compared to benign effusion (9).
Combined PET/CT : Clinical Applications 341
Figure 3: CT, PET and PET-CT images showing intense FDG uptake in left lung (primary lung cancer)
Mediastinoscopy, CT and MRI are used for assessing the involvement of lymph nodes. The main limitation of CT and MRI is a size criterion of 1 cm for diagnosis of tumor involvement, which results in many false positive and false negative results for detection of lymph node metastases. Since 18F-FDG PET imaging depends on increased metabolism of the malignant cells, it can be used successfully to identify malignant nodes (Figure 3). PET and PET-CT are also very effective in detecting distant metastases (10). A typical scan extends from the orbits or base of skull through the pelvis, covering the most common sites of metastatic disease, i.e. lung, liver, brain, adrenals, and bone etc (Figure 4). 18F-FDG PET has particularly an important role for detecting adrenal metastases in lung cancer patients thus eliminating the need for biopsy of benign enlarged adrenal glands in these patients (11). Overall, PET is able to detect the sites of disease, which may not be apparent by standard imaging strategies in 10-14% of cases and therefore can change management in many patients (12). It is also an accurate imaging modality in order to rule out metastasis in cases of false positive or indeterminate findings on anatomical imaging.
Figure 4: CT, PET and PET-CT images showing focal areas of intense FDG uptake in multiple mediastinal lymph nodes and liver and bone suggestive of metastasis in a patient of lung cancer.