MRI DIFFUSION

Definition: The type of MRI sequence used to identify areas of an organ, such as the brain, which have recently been damaged or injured.
The MRI machine is set to detect small restrictions in the movement of water molecules inside the injured areas. These small changes, which are commonly referred to as "areas of restricted diffusion," are detected by the MRI machine and ultimately appear as bright spots inside the organ being investigated.


Introduction

Diffusion-weighted magnetic resonance (MR) imaging, boosted by established successes in clinical neurodiagnostics and powerful new applications for studying the anatomy of the brain in vivo, has been an important area of research in the past decade. Current clinical applications are based on many different types of contrast, such as contrast in relaxation times for T1- or T2-weighted MR imaging, in time of flight for MR angiography, in blood oxygen level dependency for functional MR imaging, and in diffusion for apparent diffusion coefficient (ADC) imaging. Even more advanced techniques than these are in use today for the study of neural fiber tract anatomy and brain connectivity.

Over the years, increasingly complex data acquisition schemes have been developed, while the theoretical foundations of diffusion MR imaging have come to be better understood. For the radiologist who wants to use these techniques in clinical practice and research, it is important to understand a few key principles of diffusion imaging so as to select the appropriate technique for answering a specific question. The article therefore begins with an explanation of the physics of water diffusion and the ways in which the great complexity of diffusion in the brain, the main organ targeted for investigation with diffusion MR imaging, can be described. Next, the basic principles that underlie diffusion contrast encoding with MR imaging are described to enable the reader to understand the relation between the MR imaging signal and diffusion as well as the limitations of simple diffusion imaging techniques. This discussion provides a context for the description of diffusion spectrum imaging, the most complex diffusion MR imaging technique, which provides the largest body of information and the greatest detail. With the general principles of diffusion MR imaging in mind, the range of current diffusion MR imaging techniques, from the simplest to the most sophisticated, is then reviewed with an emphasis on the underlying assumptions and hypotheses, advantages, and potential pitfalls of each. The technical requirements (hardware capabilities, acquisition time) for each type of diffusion imaging examination, and the types of data provided by each type, are compared.
Diffusion-weighted magnetic resonance (MR) imaging provides image contrast that is different from that provided by conventional MR techniques. It is particularly sensitive for detection of acute ischemic stroke and differentiation of acute stroke from other processes that manifest with sudden neurologic deficits. Diffusion-weighted MR imaging also provides adjunctive information for other cerebral diseases including neoplasms, intracranial infections, traumatic brain injury, and demyelinating processes. Because stroke is common and in the differential diagnosis of most acute neurologic events, diffusion-weighted MR imaging should be considered an essential sequence, and its use in most brain MR studies is recommended.
Diffusion-weighted (DW) magnetic resonance (MR) imaging provides potentially unique information on the viability of brain tissue. It provides image contrast that is dependent on the molecular motion of water, which may be substantially altered by disease. The method was introduced into clinical practice in the middle 1990s, but because of its demanding MR engineering requirements—primarily high-performance magnetic field gradients—it has only recently undergone widespread dissemination. The primary application of DW MR imaging has been in brain imaging, mainly because of its exquisite sensitivity to ischemic stroke—a common condition that appears in the differential diagnosis in virtually all patients who present with a neurologic complaint.

Because DW MR imaging uses fast (echo-planar) imaging technology, it is highly resistant to patient motion, and imaging time ranges from a few seconds to 2 minutes. As a consequence, DW MR imaging has assumed an essential role in the detection of acute brain infarction and in the differentiation of acute infarction from other disease processes. DW MR imaging is also assuming an increasingly important role in the evaluation of many other intracranial disease processes.

Diffusion-weighted magnetic resonance (MR) imaging, boosted by established successes in clinical neurodiagnostics and powerful new applications for studying the anatomy of the brain in vivo, has been an important area of research in the past decade. Current clinical applications are based on many different types of contrast, such as contrast in relaxation times for T1- or T2-weighted MR imaging, in time of flight for MR angiography, in blood oxygen level dependency for functional MR imaging, and in diffusion for apparent diffusion coefficient (ADC) imaging. Even more advanced techniques than these are in use today for the study of neural fiber tract anatomy and brain connectivity.
Over the years, increasingly complex data acquisition schemes have been developed, while the theoretical foundations of diffusion MR imaging have come to be better understood. For the radiologist who wants to use these techniques in clinical practice and research, it is important to understand a few key principles of diffusion imaging so as to select the appropriate technique for answering a specific question. The article therefore begins with an explanation of the physics of water diffusion and the ways in which the great complexity of diffusion in the brain, the main organ targeted for investigation with diffusion MR imaging, can be described. Next, the basic principles that underlie diffusion contrast encoding with MR imaging are described to enable the reader to understand the relation between the MR imaging signal and diffusion as well as the limitations of simple diffusion imaging techniques. This discussion provides a context for the description of diffusion spectrum imaging, the most complex diffusion MR imaging technique, which provides the largest body of information and the greatest detail. With the general principles of diffusion MR imaging in mind, the range of current diffusion MR imaging techniques, from the simplest to the most sophisticated, is then reviewed with an emphasis on the underlying assumptions and hypotheses, advantages, and potential pitfalls of each. The technical requirements (hardware capabilities, acquisition time) for each type of diffusion imaging examination, and the types of data provided by each type, are compared.

Diffusion-weighted imaging

Diffusion-weighted imaging is an MRI method that produces in vivo magnetic resonance images of biological tissues weighted with the local characteristics of water diffusion.
DWI is a modification of regular MRI techniques, and is an approach which utilizes the measurement of Brownian motion of molecules. Regular MRI acquisition utilizes the behaviour of protons in water to generate contrast between clinically relevant features of a particular subject. The versatile nature of MRI is due to this capability of producing contrast, called weighting. In a typical T1-weighted image, water molecules in a sample are excited with the imposition of a strong magnetic field. This causes many of the protons in water molecules to precess simultaneously, producing signals in MRI. In T2-weighted images, contrast is produced by measuring the loss of coherence or synchrony between the water protons. When water is in an environment where it can freely tumble, relaxation tends to take longer. In certain clinical situations, this can generate contrast between an area of pathology and the surrounding healthy tissue.
In diffusion-weighted images, instead of a homogeneous magnetic field, the homogeneity is varied linearly by a pulsed field gradient. Since precession is proportional to the magnet strength, the protons begin to precess at different rates, resulting in dispersion of the phase and signal loss. Another gradient pulse is applied in the same direction but with opposite magnitude to refocus or rephase the spins. The refocusing will not be perfect for protons that have moved during the time interval between the pulses, and the signal measured by the MRI machine is reduced. This reduction in signal due to the application of the pulse gradient can be related to the amount of diffusion that is occurring through the following equation:
where S0 is the signal intensity without the diffusion weighting, S is the signal with the gradient, γ is the gyromagnetic ratio, G is the strength of the gradient pulse, δ is the duration of the pulse, Δ is the time between the two pulses, and finally, D is the diffusion-coefficient.
By rearranging the formula to isolate the diffusion-coefficient, it is possible to obtain an idea of the properties of diffusion occurring within a particular voxel (volume picture element). These values, called apparent diffusion coefficients (ADC) can then be mapped as an image, usingdiffusion as the contrast.
The first successful clinical application of DWI was in imaging the brain following stroke in adults. Areas which were injured during a stroke showed up "darker" on an ADC map compared to healthy tissue. At about the same time as it became evident to researchers that DWI could be used to assess the severity of injury in adult stroke patients, they also noticed that ADC values varied depending on which way the pulse gradient was applied. This orientation-dependent contrast is generated by diffusion anisotropy, meaning that the diffusion in parts of the brain has directionality. This may be useful for determining structures in the brain which could restrict the flow of water in one direction, such as the myelinated axons of nerve cells (which is affected by multiple sclerosis). However, in imaging the brain following a stroke, it may actually prevent the injury from being seen. To compensate for this, it is necessary to apply a mathematical operator, called a tensor, to fully characterize the motion of water in all directions.
Diffusion-weighted images are very useful to diagnose vascular strokes in the brain. It is also used more and more in the staging of non small cell lung cancer, where it is a serious candidate to replace positron emission tomography as the 'gold standard' for this type of disease. Diffusion tensor imaging is being developed for studying the diseases of the white matter of the brain as well as for studies of other body tissues (see below).


Diffusion tensor imaging

Diffusion tensor imaging (DTI) is a magnetic resonance imaging (MRI) technique that enables the measurement of the restricted diffusion of water in tissue in order to produce neural tract images instead of using this data solely for the purpose of assigning contrast or colors to pixels in a cross sectional image. It also provides useful structural information about muscle—including heart muscle, as well as other tissues such as the prostate.
In DTI, each voxel has one or more pairs of parameters: a rate of diffusion and a preferred direction of diffusion—described in terms of three dimensional space—for which that parameter is valid. The properties of each voxel of a single DTI image is usually calculated by vector or tensor math from six or more different diffusion weighted acquisitions, each obtained with a different orientation of the diffusion sensitizing gradients. In some methods, hundreds of measurements—each making up a complete image—are made to generate a single resulting calculated image data set. The higher information content of a DTI voxel makes it extremely sensitive to subtle pathology in the brain. In addition the directional information can be exploited at a higher level of structure to select and follow neural tracts through the brain—a process called tractography.
A more precise statement of the image acquisition process is that the image-intensities at each position are attenuated, depending on the strength (b-value) and direction of the so-called magnetic diffusion gradient, as well as on the local microstructure in which the water molecules diffuse. The more attenuated the image is at a given position, the greater diffusion there is in the direction of the diffusion gradient. In order to measure the tissue's complete diffusion profile, one needs to repeat the MR scans, applying different directions (and possibly strengths) of the diffusion gradient for each scan.

Diffusion-weighted magnetic resonance (MR) imaging provides image contrast that is different from that provided by conventional MR techniques. It is particularly sensitive for detection of acute ischemic stroke and differentiation of acute stroke from other processes that manifest with sudden neurologic deficits. Diffusion-weighted MR imaging also provides adjunctive information for other cerebral diseases including neoplasms, intracranial infections, traumatic brain injury, and demyelinating processes. Because stroke is common and in the differential diagnosis of most acute neurologic events, diffusion-weighted MR imaging should be considered an essential sequence, and its use in most brain MR studies is recommended.

Diffusion-weighted (DW) magnetic resonance (MR) imaging provides potentially unique information on the viability of brain tissue. It provides image contrast that is dependent on the molecular motion of water, which may be substantially altered by disease. The method was introduced into clinical practice in the middle 1990s, but because of its demanding MR engineering requirements—primarily high-performance magnetic field gradients—it has only recently undergone widespread dissemination. The primary application of DW MR imaging has been in brain imaging, mainly because of its exquisite sensitivity to ischemic stroke—a common condition that appears in the differential diagnosis in virtually all patients who present with a neurologic complaint.

Because DW MR imaging uses fast (echo-planar) imaging technology, it is highly resistant to patient motion, and imaging time ranges from a few seconds to 2 minutes. As a consequence, DW MR imaging has assumed an essential role in the detection of acute brain infarction and in the differentiation of acute infarction from other disease processes. DW MR imaging is also assuming an increasingly important role in the evaluation of many other intracranial disease processes.

BASIC CONCEPTS OF DW MR IMAGING

In this section, the basic concepts involved in DW MR imaging will be briefly reviewed. For more detailed descriptions of the physics of DW imaging, a number of excellent reviews (15) are available. Stejskal and Tanner (6) provided an early description of a DW sequence in 1965. They used a spin-echo T2-weighted pulse sequence with two extra gradient pulses that were equal in magnitude and opposite in direction. This sequence enabled the measurement of net water movement in one direction at a time. To measure the rate of movement along one direction, for example the x direction, these two extra gradients are equal in magnitude but opposite in direction for all points at the same x location. However, the strength of these two balanced gradients increases along the x direction. Therefore, if a voxel of tissue contains water that has no net movement in the x direction, the two balanced gradients cancel each other out. The resultant signal intensity of that voxel is equal to its signal intensity on an image obtained with the same sequence without the DW gradients. However, if water molecules have a net movement in the x direction (eg, due to diffusion), they are subjected to the first gradient pulse at one x location and the second pulse at a different x location. The two gradients are no longer equal in magnitude and no longer cancel. The difference in gradient pulse magnitude is proportional to the net displacement in the x direction that occurs between the two gradient pulses, and faster-moving water protons undergo a larger net dephasing. The resultant signal intensity of a voxel of tissue containing moving protons is equal to its signal intensity on a T2-weighted image decreased by an amount related to the rate of diffusion.

The signal intensity (SI) of a voxel of tissue is calculated as follows: where SI0 is the signal intensity on the T2-weighted (or b = 0 sec/mm2) image, the diffusion sensitivity factor b is equal to γ2G2δ2(Δ − δ/3), and D is the diffusion coefficient. γ is the gyromagnetic ratio; G is the magnitude of, δ the width of, and Δ the time between the two balanced DW gradient pulses.

According to Fick’s law, true diffusion is the net movement of molecules due to a concentration gradient. With MR imaging, molecular motion due to concentration gradients cannot be differentiated from molecular motion due to pressure gradients, thermal gradients, or ionic interactions. Also, with MR imaging we do not correct for the volume fraction available or the increases in distance traveled due to tortuous pathways. Therefore, when measuring molecular motion with DW imaging, only the apparent diffusion coefficient (ADC) can be calculated. The signal intensity of a DW image is best expressed as 

With the development of high-performance gradients, DW imaging can be performed with an echo-planar spin-echo T2-weighted sequence. With the original spin-echo T2-weighted sequence, even minor bulk patient motion was enough to obscure the much smaller molecular motion of diffusion. The substitution of an echo-planar spin-echo T2-weighted sequence markedly decreased imaging time and motion artifacts and increased sensitivity to signal changes due to molecular motion. As a result, the DW sequence became clinically feasible to perform. Other methods of performing DW MR imaging without echo-planar gradients have also been developed. These include DW sequences based on a single-shot gradient and spin-echo or single-shot fast spin-echo techniques. “Line-scan” DW and spiral DW sequences have also been developed.

In the brain, apparent diffusion is not isotropic (the same in all directions); it is anisotropic (varies in different directions), particularly in white matter. The cause of the anisotropic nature of white matter is not completely understood, but increasing anisotropy has also been noted in the developing brain before T1- and T2-weighted imaging or histologic evidence of myelination becomes evident . It is likely that in addition to axonal direction and myelination, other physiologic processes, such as axolemmelic flow, extracellular bulk flow, capillary blood flow, and intracellular streaming, may contribute to white matter anisotropy. The anisotropic nature of diffusion in the brain can be appreciated by comparing images obtained with DW gradients applied in three orthogonal directions (Fig 1). In each of the images, the signal intensity is equal to the signal intensity on echo-planar T2-weighted images decreased by an amount related to the rate of diffusion in the direction of the applied gradients. Images obtained with gradient pulses applied in one direction at a time are combined to create DW images or ADC maps. The ADC is actually a tensor quantity or a matrix: 


   Figure 1.


Figure 1.
Anisotropic nature of diffusion in the brain. Transverse DW MR images (b = 1,000 sec/mm2; effective gradient, 14 mT/m; repetition time, 7,500 msec; minimum echo time; matrix, 128 × 128; field of view, 200 × 200 mm; section thickness, 6 mm with 1-mm gap) with the diffusion gradients applied along the x (Gx, left), y (Gy, middle), and z (Gz, right) axes demonstrate anisotropy. The signal intensity decreases when the white matter tracts run in the same direction as the DW gradient because water protons move preferentially in this direction. Note that the corpus callosum (arrow on left image) is hypointense when the gradient is applied in the x (right-to-left) direction, the frontal and posterior white matter (arrowheads) are hypointense when the gradient is applied in the y (anterior-to-posterior) direction, and the corticospinal tracts (arrow on right image) are hypointense when the gradient is applied in the z (superior-to-inferior) direction.

The diagonal elements of this matrix can be combined to give information about the magnitude of the apparent diffusion: (ADCxx + ADCyy + ADCzz)/3.

The off-diagonal elements provide information about the interactions between the x, y, and z directions. For example, ADCyx gives information about the correlation between displacements in the x and y directions (4). Images displaying the magnitude of the ADC are used in clinical practice.

DW gradient pulses are applied in one direction at a time. The resultant image has information about both the direction and the magnitude of the ADC (Fig 1). To create an image that is related only to the magnitude of the ADC, at least three of these images must be combined. The simplest method is to multiply the three images created with the DW gradient pulses applied in three orthogonal directions. The cube root of this product is the DW image (Fig 2). It is important to understand that the DW image has T2-weighted contrast as well as contrast due to differences in ADC. To remove the T2-weighted contrast, the DW image can be divided by the echo-planar spin-echo T2-weighted (or b = 0 sec/mm2) image to give an “exponential image” (Fig 3). Alternatively, an ADC map, which is an image whose signal intensity is equal to the magnitude of the ADC, can be created (Fig 4).
   Figure 2.


Figure 2.
Calculation of signal intensity on an isotropic DW image (b = 1,000 sec/mm2; effective gradient, 14 mT/m; repetition time, 7,500 msec; minimum echo time; matrix, 128 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap). The signal intensities of the three transverse images (Gx, Gy, and Gz), each with a diffusion gradient applied in one of three orthogonal directions, are multiplied together. Here the DW gradients were applied along the x, y, and z axes. The signal intensity of the isotropic DW image (bottom) is essentially the cube root of the signal intensities of these three images multiplied together. Note that both T2-weighted contrast and the rate of diffusion contribute to the signal intensity of the isotropic DW image.
   Figure 3.

Figure 3.
Removal of T2-weighted contrast. To remove the T2-weighted contrast in the isotropic transverse DW image (b = 1,000 sec/mm2; effective gradient, 14 mT/m; repetition time, 7,500 msec; minimum echo time; matrix, 128 × 128; field of view, 200 × 200 mm, section thickness, 6 mm with 1-mm gap), the transverse DW image (DWI) is divided by the transverse echo-planar spin-echo T2-weighted (EP SET2) image. The resultant image is called the exponential image because its signal intensity is exponentially related to the ADC.

  Figure 4.  
Figure 4.
Creation of an ADC map. One method of creating an ADC map is to mathematically manipulate the exponential (Exp.) image. The appearances on the transverse DW image (DWI), exponential image, and ADC map, as well as the corresponding mathematic expressions for their signal intensities, are shown. Image parameters are b = 1,000 sec/mm2; effective gradient, 14 mT/m; repetition time, 7,500 msec; minimum echo time; matrix, 128 × 128; field of view, 200 × 200 mm; section thickness, 6 mm with 1-mm gap. SI = signal intensity, SIo = signal intensity on T2-weighted image.

Instead of obtaining images with b = 0 sec/mm2 and with b = 1,000 sec/mm2 and solving for ADC using Equation , one usually determines the ADC graphically. This is accomplished by obtaining two image sets, one with a very low but nonzero b value and one with b = 1,000 sec/mm2. By plotting the natural logarithm of the signal intensity versus b for these twob values, the ADC can be determined from the slope of this line.

For our clinical studies, the DW image, exponential image, ADC map, and echo-planar spin-echo T2-weighted images are routinely available for review (Fig 4). Because the ADC values of gray and white matter are similar, typically there is no contrast between gray and white matter on the exponential image or ADC map. The contrast between gray and white matter seen on the DW image is due to T2-weighted contrast. This residual T2 component on the DW image makes it important to view either the exponential image or ADC map in conjunction with the DW image. In lesions such as acute stroke, the T2-weighted and DW effects both cause increased signal intensity on the DW image. Therefore, we have found that we identify regions of decreased diffusion best on DW images. The exponential image and ADC maps are used to exclude “T2 shine through” as the cause of increased signal intensity on DW images. The exponential image and ADC map are useful for detecting areas of increased diffusion that may be masked by T2 effects on the DW image.

 

CLINICAL APPLICATIONS



Ischemic Stroke

Theory of restricted diffusion in acute stroke.—Within minutes after the onset of ischemia, a profound restriction in water diffusion occurs in affected brain tissue . The biophysical basis of this change is not completely clear. One likely important contributor is cytotoxic edema. Cytotoxic edema induced with acute hyponatremic encephalopathy (without ischemia) is associated with restricted diffusion . Furthermore, when decreased ADCs were present in early ischemia in rat brain tissue, there was a reduction in Na+/K+ adenosine triphosphatase activity without a significant increase in brain water . In addition, ouabain, an inhibitor of Na+/K+ adenosine triphosphatase, was associated with a reduction in ADC in rat cortex . These findings have led to the predominant theory for the restriction of water diffusion in stroke: Ischemia causes disruption of energy metabolism, leading to failure of the Na+/K+ adenosine triphosphatase pump and other ionic pumps. This leads to loss of ionic gradients and a net translocation of water from the extracellular to the intracellular compartment, where water mobility is relatively more restricted.

There are additional factors. With cellular swelling, there is a reduction in the volume of extracellular space . A decrease in the diffusion of low-molecular-weight tracer molecules has been demonstrated in animal models , which suggests that the increased tortuosity of extracellular space pathways contributes to restricted diffusion in acute ischemia. Furthermore, there are substantial reductions in ADCs in intracellular metabolites in ischemic rat brain Proposed explanations are increased intracellular viscosity due to dissociation of microtubules and fragmentation of other cellular components or increased tortuosity of the intracellular space and decreased cytoplasmic mobility. It is worth bearing in mind that the normal steady-state function of these structures requires energy and uses adenosine triphosphate. Other factors such as temperature and cell membrane permeability play a minor role in explaining the reduction in ADC in acutely ischemic tissue.

Time course of lesion evolution in acute stroke.—In animals, restricted diffusion associated with acute ischemia has been detected as early as 10 minutes to 2 hours after vascular occlusion. The ADCs measured at these times are approximately 16%–68% below those of normal tissue. In animals, ADCs pseudonormalize (ie, are similar to those of normal brain tissue, but the tissue is infarcted) at approximately 2 days and are elevated thereafter.

In adult humans, the time course is more prolonged.We have observed restricted diffusion associated with acute ischemia 30 minutes after a witnessed ictus. The ADC continues to decrease and is most reduced at 8–32 hours. The ADC remains markedly reduced for 3–5 days. This decreased diffusion is markedly hyperintense on DW images (which are generated with a combination of T2-weighted and DW imaging) and hypointense on ADC images. The ADC returns to baseline at 1–4 weeks. This most likely reflects persistence of cytotoxic edema (associated with decreased diffusion) and development of vasogenic edema and cell membrane disruption, leading to increased extracellular water (associated with increased diffusion). At this point, an infarction is usually mildly hyperintense due to the T2 component on the DW images and is isointense on the ADC images. Thereafter, diffusion is elevated as a result of continued increase in extracellular water, tissue cavitation, and gliosis. This elevated diffusion is characterized by slight hypointensity, isointensity, or hyperintensity on the DW images (depending on the strength of the T2 and diffusion components) and increased signal intensity on ADC maps.

  Figure 5.



Figure 5.
Time course of an ischemic infarction. Images demonstrate the evolution of an ischemic infarction involving the left cerebellar hemisphere and left middle cerebellar peduncle. Both transverse DW images (DWI;b = 1,000 sec/mm2; effective gradient, 14 mT/m; repetition time msec/echo time msec, 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) and transverse ADC maps are displayed. The patient underwent MR imaging 6 hours after the onset of acute neurologic symptoms. At 6 hours, the lesion (arrows) is hyperintense on the DW images and hypointense on the corresponding ADC map. The lesion becomes progressively more hyperintense on DW images, reaching its maximum hyperintensity at the 58-hour time point, when it also reaches its maximum hypointensity on ADC maps. At 7 days, there is ongoing resolution of the lesion on both DW images and ADC maps. By 134 days, there is subtle hypointensity on the DW image and hyperintensity on the ADC images.

The time course does not always conform to the aforementioned outline. With early reperfusion, pseudonormalization (return to baseline of the ADC reduction associated with acute ischemic stroke) may occur at a much earlier time—as early as 1–2 days in humans given intravenous recombinant tissue plasminogen activator less than 3 hours after stroke onset .Furthermore, Nagesh et al demonstrated that although the mean ADC of an ischemic lesion is depressed within 10 hours, different zones within an ischemic region may demonstrate low, pseudonormal, or elevated ADCs, suggesting different temporal rates of tissue evolution toward infarction. Despite these variations, tissue characterized by an initial reduction in ADC nearly always undergoes infarction in humans.

DW and perfusion-weighted MR imaging for assessment of stroke evolution.—The combination of perfusion-weighted and DW MR imaging may provide more information than would either technique alone. Perfusion-weighted imaging involves the detection of a decrease in signal intensity as a result of the susceptibility or T2* effects of gadolinium during the passage of a bolus of a gadolinium-based contrast agent through the intracranial vasculature .A variety of hemodynamic images may be constructed from these data, including relative cerebral blood volume, relative cerebral blood flow, mean transit time, and time-to-peak maps.

In the context of arterial occlusion, brain regions with decreased diffusion and perfusion are thought to represent nonviable tissue or the core of an infarction The majority of stroke lesions increase in volume on DW images, with the maximum volume achieved at 2–3 days.

When most patients with acute stroke are evaluated with both DW and perfusion-weighted MR imaging, their images usually demonstrate one of three patterns A lesion is smaller on DW images than the same lesion is on perfusion-weighted images; a lesion on DW images is equal to or larger than that on perfusion-weighted images; or a lesion is depicted on DW images but is not demonstrable on perfusion-weighted images. In large-vessel stroke lesions (such as in the proximal portion of the middle cerebral artery), the abnormality as depicted on perfusion-weighted images is frequently larger than the lesion as depicted on DW images. The peripheral region, characterized by normal diffusion and decreased perfusion, usually progresses to infarction unless there is early reperfusion. Thus, in the acute setting, perfusion-weighted imaging in combination with DW imaging helps identify an operational “ischemic penumbra” or area at risk for infarction

  Figure 6.

Figure 6.
Diffusion-perfusion mismatch after left middle cerebral artery stroke. The patient was imaged 3.8 hours after a witnessed sudden onset of a right hemiparesis. Transverse DW images (DWI;b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) demonstrate hyperintensity in the subcortical region, including in the lenticular nucleus and corona radiata (arrowheads, right-hand image in top row). Transverse cerebral blood volume (CBV) images (spin-echo echo-planar technique; 0.2 mmol/kg gadopentetate dimeglumine [Magnevist; Berlex Laboratories, Wayne, NJ]; 51 images per section; 1,500/75; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) demonstrate decreased dynamic cerebral blood volume in the region of hyperintensity on the DW images. However, there are areas of abnormal cerebral blood volume (arrows) that appear relatively normal on the DW study. Follow-up study performed 10 hours after the onset of symptoms demonstrates an increase in the size of the DW imaging abnormality (arrowheads, right-hand image in fifth row) as it extends into the region of brain that was previously normal on DW images but abnormal on cerebral blood volume images.

On the other hand, in small-vessel infarctions (perforator infarctions and distal middle cerebral artery infarctions), the initial lesion volumes on perfusion-weighted and DW images are usually similar, and the diffusion-weighted image lesion volume increases only slightly with time. A lesion larger on DW images than on perfusion-weighted images or a lesion visible on DW images but not on perfusion-weighted images usually occurs with early reperfusion. In this situation, the lesion on DW images usually does not change substantially over time.

In animals treated with neuroprotective agents after occlusion of the middle cerebral artery, the increase in stroke lesion volume on serial DW images is reduced. This effect has not been convincingly demonstrated in humans.

Reversibility of ischemic lesions on DW images.—In animal models of ischemia, both a time threshold and an ADC threshold for reversibility have been demonstrated. In general, when the middle cerebral artery in animals is temporarily occluded for an hour or less, the diffusion lesion size markedly decreases or resolves; however, when the middle cerebral artery is occluded for 2 hours or more, the lesion size remains the same or increases Hasegawa et al demonstrated that after 45 minutes of temporary occlusion of the middle cerebral artery in rats, diffusion lesions are partially or completely reversible when the difference in ADC values between the ischemic region and a contralateral homologous nonischemic region is not greater than a threshold of −0.25 × 10−5 cm2/sec. When the ADC difference is greater than this threshold, the lesion nearly always becomes completely infarcted. Similarly Dardzinski et al demonstrated a threshold ADC of 0.55 × 10−3 mm2/sec at 2 hours in a permanent-occlusion rat model.

In humans, reversibility of ischemic lesions is rare. To our knowledge, only one case has been reported in the literature and we have observed reversibility of only one ischemic lesion in over 2,000 patients imaged in our clinical practice That patient was treated with intravenous recombinant tissue plasminogen activator 2 hours after symptom onset, and the initial ADC was approximately 20% below that of contralateral homologous nonischemic brain tissue. In humans, neither a threshold time nor a threshold ADC for reversibility have been established.

  Figure 7.

Figure 7.
Reversible ischemic lesion. Top: The patient was imaged approximately 2 hours after the onset of a witnessed acute neurologic deficit. Top left: Transverse DW image (DWI; b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) shows an area of hyperintensity (arrow) in the left posterior frontal and anterior parietal lobes. Top middle: A region of hypointensity (arrow) corresponding to this area is seen on the transverse ADC image (arrow). Top right: No definite abnormality is seen on the transverse fast spin-echo T2-weighted MR image (4,000/104; echo train length, eight; matrix, 256 × 192; field of view, 200 × 200 mm; section thickness, 5 mm with 1-mm gap; one signal acquired). The patient was treated with intravenous recombinant tissue plasminogen activator, with resolution of the neurologic symptoms. Bottom: Follow-up images obtained 3 days later demonstrate near interval resolution of the abnormalities on the 2-hour DW image and ADC map. No definite lesion was identified on the follow-up T2-weighted image. Of note, the decrease in ADC was approximately 20% of the normal value. Lesions that become confirmed infarctions typically demonstrate a 50% reduction in ADC.

DW imaging reliability in acute stroke.—Conventional computed tomography (CT) and MR imaging cannot be used to reliably detect infarction at the earliest time points. The detection of hypoattenuation on CT scans and hyperintensity on T2-weighted MR images requires a substantial increase in tissue water. For infarctions imaged within 6 hours after stroke onset, reported sensitivities are 38%–45% for CT and 18%–46% for MR imaging. For infarctions imaged within 24 hours, the authors of one study reported a sensitivity of 58% for CT and 82% for MR imaging.

DW images are very sensitive and specific for the detection of hyperacute and acute infarctions, with a sensitivity of 88%–100% and a specificity of 86%–100% A lesion with decreased diffusion is strongly correlated with irreversible infarction. Acute neurologic deficits suggestive of stroke but without restricted diffusion are typically due to transient ischemic attack, peripheral vertigo, migraine, seizures, intracerebral hemorrhage, dementia, functional disorders, amyloid angiopathy, and metabolic disorders .

Although, after 24 hours, infarctions usually can be detected as hypoattenuating lesions on CT and hyperintense lesions on T2-weighted and fluid-attenuated inversion recovery MR images, DW imaging is useful in this setting, as well. Older patients commonly have hyperintense abnormalities on T2-weighted images that may be indistinguishable from acute lesions. However, acute infarctions are hyperintense on DW images and hypointense on ADC maps, whereas chronic foci are usually isointense on DW images and hyperintense on ADC maps due to elevated diffusion (Fig 8). In one study  in which there were indistinguishable acute and chronic white matter lesions on T2-weighted images in 69% of patients, the sensitivity and specificity of DW imaging for detection of acute subcortical infarction were 94.9% and 94.1%, respectively.

  Figure 8.

Figure 8.
Differentiation of acute white matter infarction from nonspecific small-vessel ischemic changes. This patient had onset of symptoms 2 days prior to imaging. Top: Transverse DW images (DWI;b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) in the top row clearly demonstrate the acute infarction (arrowheads) in the putamen and corona radiata. Bottom: Fluid-attenuated inversion recovery (FLAIR) images (10,000/141; inversion time, 2,200 msec; echo train length, eight; matrix, 256 × 192; field of view, 240 × 240 mm; section thickness, 5 mm with 1-mm gap; one signal acquired) demonstrate multiple white matter lesions in which acute (arrowhead) and chronic lesions (arrows) cannot be differentiated.

False-negative DW images have been reported in patients with very small lacunar brainstem or deep gray nuclei infarction Some of these lesions were seen on follow-up DW images, and others were presumed to be present on the basis of clinical deficits. False-negative DW images also occur in patients with regions of decreased perfusion (increased mean transit time and decreased relative cerebral blood flow), which are hyperintense on follow-up DW images; in other words, these patients initially had regions characterized by ischemic but viable tissue that progressed to infarction. These findings stress the importance of obtaining early follow-up images in patients with normal DW images and persistent strokelike deficits, so that infarctions or areas at risk for infarction are identified and treated as early as possible.

False-positive DW images have been reported in patients with a diagnosis other than acute infarction. These include cerebral abscess (with restricted diffusion on the basis of viscosity) and tumor (with restricted diffusion on the basis of dense cell packing). When these lesions are viewed on DW images in combination with other routine T1- and T2-weighted MR images, they can usually be differentiated from acute infarctions.

Correlation of DW MR imaging with clinical outcome.—DW MR imaging findings may reflect the severity of clinical neurologic deficits and help predict clinical outcome. Statistically significant correlations between the acute DW MR lesion volume and both acute and chronic neurologic assessment results, including those of the National Institutes of Health Stroke Score Scale, the Canadian Neurologic Scale, the Barthel Index, and the Rankin Scale, have been demonstrated This correlation is stronger in cases of cortical stroke and weaker in cases of penetrator artery stroke. Lesion location likely explains the variance; for example, a lesion in a major white matter tract may produce a more profound neurologic deficit than would a cortical lesion of the same size. There also is a weaker correlation between initial lesion volume and National Institutes of Health Stroke Score Scale measures in patients with a prior infarction. In addition, there is a significant correlation between the acute ADC ratio (lesion ADC to normal contralateral brain ADC) and chronic neurologic assessment scale scores. Perfusion-weighted image volumes also correlate with acute and chronic neurologic assessment test results In one study , patients who had lesion volumes on perfusion-weighted images that were larger than volumes on DW images (perfusion-diffusion mismatches) had worse outcomes and larger final infarct volumes. In another study , patients with early reperfusion had smaller final infarct volumes and better clinical outcomes. Because DW and perfusion-weighted MR imaging can help predict clinical outcome at very early time points, these techniques may prove to be valuable for the selection of patients for thrombolysis or administration of neuroprotective agents.

Neonatal hypoxic ischemic brain injury.—DW MR imaging is rapidly improving the evaluation of neonatal hypoxic ischemic encephalopathy and focal infarctions. Animal models of neonatal ischemia have demonstrated lesions on DW MR images as early as 1 hour after ligation of the carotid artery . In humans, within 1 day of birth, acute ischemic lesions not seen on routine CT or MR images are identified on DW MR images . When lesions are identified on conventional images, lesion conspicuity is increased and lesion extent is seen to be larger on DW MR images. In addition, lesions identified on the initial DW MR images are identified on follow-up conventional images and, therefore, help accurately predict the extent of infarction. This correlates with the finding in animals that areas of restricted diffusion correlate with areas of injury at autopsy.

Animal models have also demonstrated the evolution of neonatal hypoxic ischemic injury over time. In a rabbit model , ischemic lesions were seen first in the cortex, followed by the subcortical white matter, the ipsilateral basal ganglia, and the contralateral basal ganglia.

Thus, DW MR imaging is helping increase our understanding of the pathophysiology of neonatal ischemia. It allows timing of ischemic onset, provides earlier and more reliable detection of acute ischemic lesions, and allows differentiation of focal infarctions from more global hypoxic ischemic lesions. This information may provide a better early assessment of the long-term prognosis and may be important in the evaluation of new neuroprotective agents.

Transient ischemic attacks.—Nearly 50% of patients with transient ischemic attacks have lesions characterized by restricted diffusion . These lesions are usually small (<15-mm diameter), are almost always in the clinically expected vascular territory, and are thought to represent markers of more widespread reversible ischemia. In one study , 20% of the lesions were not seen at follow-up; the lesions could have been reversible or, owing to atrophy, too small to see on conventional MR images. The information obtained from DW MR imaging changed the suspected localization of an ischemic lesion, as well as the suspected etiologic mechanism, in more than one-third of patients . In another study , statistically significant independent predictors for identification of these lesions on DW MR images included previous nonstereotypic transient ischemic attack, cortical syndrome, or an identified stroke mechanism, and the authors suggested an increased stroke risk in patients with these lesions. Early identification of patients with transient ischemic attack with increased risk of stroke and better identification of etiologic mechanisms is changing acute management and may affect patient outcome.

Other clinical stroke mimics.—These syndromes generally fall into two categories: (a) nonischemic lesions with no acute abnormality on routine or DW MR images or (b) vasogenic edema syndromes that mimic acute infarction on conventional MR images. Nonischemic syndromes with no acute abnormality identified on DW or conventional MR images and reversible clinical deficits include peripheral vertigo, migraines, seizures, dementia, functional disorders, amyloid angiopathy, and metabolic disorders . When a patients with these syndromes present, we can confidently predict that they are not undergoing infarction; they are spared unnecessary anticoagulation treatment and a stroke work-up.

Syndromes with potentially reversible vasogenic edema include eclampsia, hypertensive encephalopathy, cyclosporin toxicity, other posterior leukoencephalopathies, venous thrombosis, human immunodeficiency virus encephalopathy, and hyperperfusion syndrome after carotid endarterectomy . Patients with these syndromes frequently present with neurologic deficits that are suggestive of acute ischemic stroke or with neurologic deficits such as headache or seizure that are suggestive of vasogenic edema, but ischemic stroke is still a strong diagnostic consideration. Conventional MR imaging cannot help differentiate vasogenic edema from the cytotoxic edema associated with acute infarction. Cytotoxic edema produces high signal intensity in gray and/or white matter on T2-weighted images. Although vasogenic edema on T2-weighted images typically produces high signal intensity in white matter, the hyperintensity can involve adjacent gray matter. Consequently, posterior leukoencephalopathy can sometimes mimic infarction of the posterior cerebral artery. Hyperperfusion syndrome after carotid endarterectomy can resemble infarction of the middle cerebral artery. Human immunodeficiency virus encephalopathy can produce lesions in a variety of distributions, some of which have a manifestation similar to that of arterial infarction. Deep venous thrombosis can produce bilateral thalamic hyperintensity that is indistinguishable from “top of the basilar” syndrome arterial infarction.
   Figure 9.

Figure 9.
Hyperperfusion syndrome after carotid endarterectomy. The patient developed neurologic symptoms referable to the left hemisphere several days after undergoing a left carotid endarterectomy. The CT scan was abnormal, and the question of infarction was raised. Left: Transverse fast spin-echo T2-weighted MR image (4,000/104; echo train length, eight; matrix, 256 × 192; field of view, 200 × 200 mm, section thickness, 5 mm with 1-mm gap; one signal acquired) demonstrates numerous areas of abnormal high signal intensity (arrow) in the left hemisphere. Infarctions remained in the differential diagnosis. Middle: Transverse DW MR image (b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) reveals predominant isointensity in the left hemisphere with small areas of slight hypointensity and slight hyperintensity (arrow). ADC images (not shown) demonstrated no areas of restricted diffusion. Right: Transverse three-dimensional time-of-flight MR angiogram (49/6.9; 20° flip angle; matrix, 256 × 192; field of view, 200 × 200 mm; section thickness, 1 mm) demonstrates excellent flow-related enhancement (arrow) in the left hemisphere. A diagnosis of hyperperfusion syndrome with vasogenic edema was established on the basis of DW imaging findings. The patient was treated conservatively and recovered fully.

DW MR imaging can be used to reliably distinguish vasogenic from cytotoxic edema. Whereas cytotoxic edema is characterized by restricted diffusion, vasogenic edema is characterized by elevated diffusion due to a relative increase in water in the extracellular compartment, where water is more mobile . On DW MR images, vasogenic edema may be hypointense to slightly hyperintense, because these images have both T2 and diffusion contributions. When vasogenic edema is hyperintense on DW MR images, it can mimic hyperacute or subacute infarction. On ADC images, cytotoxic edema due to ischemia is always hypointense for 1–2 weeks, and vasogenic edema is always hyperintense. Therefore, DW MR images should always be compared with ADC images.

Correct differentiation of vasogenic from cytotoxic edema affects patient care. Misdiagnosis of vasogenic edema syndrome as acute ischemia could lead to unnecessary and potentially dangerous use of thrombolytics, antiplatelet agents, anticoagulants, and vasoactive agents. Furthermore, failure to correct relative hypertension could result in increased cerebral edema, hemorrhage, seizures, or death. Misinterpretation of acute ischemic infarction as vasogenic edema syndrome would discourage proper treatment with anticoagulants, evaluation for an embolic source, and liberal blood pressure control, which could increase the risk of recurrent brain infarction.

Masses

Extraaxial masses: arachnoid cyst versus epidermoid tumor.—Conventional MR images cannot be used to reliably distinguish epidermoid tumors from arachnoid cysts; both lesions are very hypointense relative to brain parenchyma on T1-weighted MR images and very hyperintense on T2-weighted images. Epidermoid tumors are solid masses, however, which demonstrate ADCs similar to those of gray matter and lower than those of CSF . With the combination of T2 and diffusion effects, epidermoid tumors are markedly hyperintense compared with CSF and brain tissue on diffusion MR images. Conversely, arachnoid cysts are fluid filled, demonstrate very high ADCs, and appear similar to CSF on DW MR images. Furthermore, on conventional MR images obtained after resection of an epidermoid tumor, the resection cavity and residual tumor may be similarly hypointense on T1-weighted images and hyperintense on T2-weighted images. On DW MR images, the hypointense CSF-containing cavity can easily be differentiated from the residual hyperintense epidermoid tumor (Fig 10).
   Figure 10.


Figure 10.
Postoperative residual epidermoid tumor. The patient underwent resection of a large left middle cranial fossa epidermoid tumor that extended into the posterior fossa. Transverse T1-weighted (left) (650/16; matrix, 256 × 192; field of view, 200 × 200 mm; section thickness, 5 mm with 1-mm gap; one signal acquired) and fast spin echo T2-weighted (middle) (4,000/104; echo train length, eight; matrix, 256 × 192; field of view, 200 × 200 mm; section thickness, 5 mm with 1-mm gap, one signal acquired) MR images do not allow clear differentiation of residual mass from the resection cavity. Right: Transverse DW MR image (b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) clearly demonstrates a hyperintense mass (black arrow) adjacent to the left pons and a smaller amount of mass (white arrow) in the left middle cranial fossa, consistent with residual epidermoid tumor. CSF (arrowhead) in the resection cavity is markedly hypointense.

Intraaxial masses.—A number of investigators have evaluated DW MR imaging of intraaxial tumors (predominantly gliomas) in animals and humans. It has been demonstrated that tumor and edema have higher ADCs than does normal brain tissue and that central necrosis has a higher ADC than do tumor, edema, or normal brain tissue. Tien et al demonstrated that enhancing tumors have significantly lower ADCs than does adjacent edema, but Brunberg et al found that there is no significant difference between ADCs of enhancing tumor and edema. Both concluded that the ADC alone cannot be used to differentiate a nonenhancing tumor from adjacent edema. Brunberg et al suggested that both enhancing and nonenhancing tumors can be distinguished from edema because edema has significantly higher indices of diffusion anisotropy when compared with adjacent tumor, presumably due to intact myelin within the edema. Demarcation of tumor from surrounding vasogenic edema with DW MR imaging may be important in determining radiation ports, surgical margins, and biopsy sites. A number of investigators have demonstrated that DW MR imaging cannot be used to differentiate between high- and low-grade gliomas or between tumor types.

DW MR imaging is also valuable in the assessment of tumor resections that are complicated, in the immediate postoperative period, by acute neurologic deficits. Although both extracellular edema and infarction are hyperintense on spin-echo T2-weighted images, cytotoxic edema is characterized by a low ADC, and vasogenic edema is characterized by a high ADC, relative to brain parenchyma. Thus, an acute infarction can easily be differentiated from postoperative edema.

Intracranial Infections

Pyogenic infection.—Abscess cavities and empyemas are homogeneously hyperintense on DW MR images (Fig 11), with signal intensity ratios of abscess cavity to normal brain tissue that range from 2.5 to 6.9 and with ADC ratios that range from 0.36 to 0.46 In one study the ADC of the abscess cavity in vivo was similar to that of pus aspirated from the cavity in vitro. In another study the ADC ratio of empyema compared with CSF was 0.13 in one patient. The relatively restricted diffusion most likely results from the high viscosity and cellularity of pus.

  Figure 11.

Figure 11.
Pathologically proved cerebral abscess. Left: A complex signal intensity pattern is visible in the right occipital and temporal lobes on the fast spin-echo T2-weighted MR image (4,000/104; echo train length, eight; matrix, 256 × 192; field of view, 200 × 200 mm; section thickness, 5 mm with 1-mm gap; one signal acquired). Middle: Ring-enhancing lesion (arrows) in the right occipital lobe is demonstrated on the gadolinium-enhanced T1-weighted MR image (650/16; matrix, 256 × 192; field of view, 200 × 200 mm; section thickness, 5 mm with 1-mm gap; one signal acquired). Right: DW MR image (b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) demonstrates the characteristic restricted diffusion of pyogenic abscess (arrows). Note the hyperintensity (arrowhead) in the left occipital horn due to a loculated collection of pus in this location.

Although intracranial abscesses and intracranial neoplasms may appear similar on images obtained with conventional MR sequences, the signal intensity of the abscess cavity is markedly higher and the ADC ratios are lower than those of necrotic tumors on DW MR images Bacterial meningitis may be complicated by subdural effusions or subdural empyemas, which are difficult to differentiate on conventional MR images. Empyemas are hyperintense on DW MR images and have a restricted ADC, whereas sterile effusions are hypointense and have an ADC similar to that of CSF. Thus, DW MR images may be important when deciding whether to drain or conservatively manage extraaxial collections associated with meningitis.

Herpes encephalitis.—Herpes encephalitis lesions are characterized by marked hyperintensity on DW MR images , with ADC ratios of these lesions to normal brain parenchyma ranging from 0.48 to 0.66. On follow-up conventional T1-weighted and T2-weighted MR images, these areas demonstrate encephalomalacic change. The restricted diffusion is explained by cytotoxic edema in tissue undergoing necrosis. DW MR imaging may aid in distinguishing herpes lesions from infiltrative temporal lobe tumors because the ADCs of herpes lesions are low while the ADCs of various tumors are elevated or in the normal range .

  Figure 12.
Figure 12.
Herpes encephalitis proved with results of polymerase chain reaction test. DW MR images (DWI; b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap). demonstrate restricted diffusion bilaterally in the temporal lobes (short arrows), inferior frontal lobes (long arrows), and insulae (arrowheads), which is a typical distribution for herpes encephalitis.

Creutzfeldt-Jakob disease.—DW MR images in patients with Creutzfeldt-Jakob disease have demonstrated hyperintense lesions in the cortex and basal ganglia . ADCs in lesions in five patients were significantly lower than those of normal brain parenchyma , while ADCs in lesions in two patients were normal or mildly elevated . The variable ADCs are likely related to variable amounts of spongiform change, neuronal loss, and gliosis.

  Figure 13.
Figure 13.
Pathologically proved Creutzfeldt-Jakob disease. Top: Transverse T2-weighted MR images (4,000/104; echo train length, eight; matrix, 256 × 192; field of view, 200 × 200 mm; section thickness, 5 mm with 1-mm gap; one signal acquired) demonstrate hyperintensity of the basal ganglia. Bottom: Transverse DW MR images (DWI; b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) show marked hyperintensity involving the basal ganglia bilaterally (arrowheads) and portions of the bilateral cortical ribbon (arrows).

Whereas Creutzfeldt-Jakob disease is classically characterized by progressive dementia, myoclonic jerks, and periodic sharp-wave electroencephalographic activity, these features frequently are absent, and Creutzfeldt-Jakob disease cannot be clinically distinguished from other dementing illnesses . Furthermore, conventional MR images may be normal in as many as 21% of patients . Thus, DW MR imaging may be useful for help in the diagnosis of Creutzfeldt-Jakob disease and in the differentiation from Alzheimer disease.


Trauma

Results of an experimental study  of head trauma have demonstrated that moderate fluid-percussion injury leads to increased diffusion, reflecting increased extracellular water, in rat cortex and hippocampus. This correlates with a report that moderate fluid-percussion injury does not reduce cerebral blood flow enough to induce ischemia. Ito et al demonstrated no significant change in brain ADCs when rats are subjected to impact acceleration trauma alone. However, when trauma is coupled with hypoxia and hypotension, the ADCs in rat cortex and thalami decrease significantly and neuronal injury was observed histologically. They concluded that brain ischemia associated with severe head trauma leads to cytotoxic edema. Barzo et al demonstrated a reduction in rat brain ADCs hours to weeks after an impact acceleration injury. They concluded that cerebral blood flow does not decrease enough to cause ischemic edema and that neurotoxic edema causes the reduced ADCs and neuronal injury.
DW MR imaging in 116 diffuse axonal injury lesions in humans demonstrated changes similar to those in animal models: ADCs were reduced in 64% of lesions, were elevated in 34%, and were similar to ADCs of normal brain tissue in 12%. In addition, most lesions were more conspicuous on DW MR images than on conventional T2-weighted images . Thus, DW MR imaging may be important for the prospective determination of the extent of traumatic injury, the degree of irreversible injury (number of lesions characterized by low ADCs indicative of cytotoxic edema), and the long-term prognosis.
  Figure 14.

Figure 14.
Severe head trauma resulting in diffuse axonal injury. Top: Transverse T2-weighted MR images (4,000/104; echo train length, eight; matrix, 256 × 192; field of view, 200 × 200 mm; section thickness, 5 mm with 1-mm gap; one signal acquired) demonstrate multiple white matter hyperintensities (arrows). Bottom: Transverse DW MR images (DWI; b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) demonstrate the lesions (arrows) with increased conspicuity. The hyperintensity is consistent with restricted diffusion. Note abnormalities (arrowheads) that extend to the cortex posteriorly.


Hemorrhage

The appearance of hemorrhage on DW MR images is complex and involves many factors, including the relative amounts of different hemorrhagic products and the pulse sequence used . Oxyhemoglobin is hyperintense on DW images and has a lower ADC than does normal brain tissue; this may indicate the relative restriction of water movement inside the red blood cell . Extracellular methemoglobin has a higher ADC than does normal brain tissue, which indicates that the mobility of water in the extracellular space is increased. The prolongation of the T2 component of fluid with extracellular methemoglobin results in hyperintensity on DW images. Hemorrhage containing deoxyhemoglobin, intracellular methemoglobin, and hemosiderin are hypointense on DW images because of magnetic susceptibility effects. Because these products of hemorrhage have very low signal intensity on T2-weighted images, ADCs cannot be reliably calculated for them.
  Figure 15.
Figure 15.
Hematoma in a patient with a right hemisphere glioblastoma who had undergone prior resection and who had developed a hematoma in the right frontal lobe. The patient was hospitalized for progression of symptoms and development of fever. A ring-enhancing lesion at the site of the prior hematoma was seen on a gadolinium-enhanced T1-weighted MR image (not shown) in the right frontal lobe. Left: DW MR image (b = 1,000 sec/mm2; effective gradient, 14 mT/m; 6,000/108; matrix, 256 × 128; field of view, 400 × 200 mm; section thickness, 6 mm with 1-mm gap) demonstrates a hyperintense lesion (arrow) in the right frontal lobe. Right: On the ADC image, the lesion is hypointense (arrow), which is consistent with restricted diffusion. The lesion was drained, and old hemorrhage was demonstrated. There was no evidence of infection.


Demyelination

Multiple sclerosis.—In animals with experimental allergic encephalomyelitis (a model of multiple sclerosis) and in patients with multiple sclerosis, most plaques demonstrate increased diffusion (. In humans, acute plaques have significantly higher ADCs than do chronic plaques . The elevated diffusion may result from an increase in the size of the extracellular space due to edema and demyelination acutely and to axonal loss and gliosis chronically. In rare instances, acute plaques have restricted diffusion. This may result from increased inflammatory cellular infiltration with little extracellular edema. Of interest, normal-appearing white matter has a mildly increased ADC . This correlates with histologic results in which multiple sclerosis was shown to diffusely affect white matter .
In monkeys with experimental allergic encephalomyelitis, Heide et al demonstrated that diffusion anisotropy decreased over time. We have also observed this phenomenon in humans. Furthermore, Verhoye et al demonstrated a significant positive correlation between the degree of ADC elevation in the external capsule and severity of clinical disease in rats with experimental allergic encephalomyelitis. However, this relationship has not been confirmed in humans. Horsfield et al (demonstrated that benign multiple sclerosis lesions have ADCs similar to those of secondary progressive multiple sclerosis. Furthermore, the degree of ADC elevation within individual lesions did not correlate with the degree of patient disability.
Acute disseminated encephalomyelitis.—Acute disseminated encephalomyelitis lesions have ADCs higher than those of normal white matter, likely as a result of demyelination and increased extracellular water. DW MR imaging cannot help distinguish between multiple sclerosis and acute disseminated encephalomyelitis lesions because both usually have elevated diffusion. Because acute infarctions are characterized by restricted diffusion, however, DW MR imaging should be reliable for help in the differentiation between demyelinating lesions and stroke.

CONCLUSION

The DW MR pulse sequence is a valuable technique. It provides information on the physiologic state of the brain and is particularly sensitive to ischemic infarction. We recommend its use when there is an acute neurologic deficit. As DW imaging improves and becomes more widespread, it is expected to play a greater role in the diagnosis of hyperacute and acute stroke and in the differentiation of stroke from other disease processes that manifest with acute neurologic deficits. DW MR imaging will also play a greater role in the management of stroke and may be helpful in the selection of patients for thrombolysis and in the evaluation of new neuroprotective agents. It may prove to be valuable in the evaluation of a wide variety of other disease processes, as described in this review.

The Physics and Representation of Diffusion

Molecular diffusion, or brownian motion, was first formally described by Einstein in 1905 . The term molecular diffusion refers to the notion that any type of molecule in a fluid (eg, water) is randomly displaced as the molecule is agitated by thermal energy .In a glass of water, the motion of the water molecules is completely random and is limited only by the boundaries of the container. This erratic motion is best described in statistical terms by a displacement distribution. The displacement distribution describes the proportion of molecules that undergo displacement in a specific direction and to a specific distance.To illustrate this idea, we can perform an imaginary experiment. Let us imagine that we launch, at time t = 0, a given number N of labeled water molecules in water, and we measure their individual displacement after a given time interval Δ (hereafter, diffusion time interval). For each displacement distance r, we count the number n of labeled water molecules that are displaced that distance. We use the resultant data to plot a histogram of the relative number of labeled molecules (n/N) versus displacement distance (r) in a single direction. Most of the molecules travel short distances, and only a few travel farther . Typically, the displacement distribution for free water molecules is a Gaussian (bell-shaped) function. At 37°C, with a diffusion time interval of Δ = 50 msec, the characteristic distance (standard deviation of the Gaussian distribution) typically is 17 μm, which means that about 32% of the molecules have moved at least this far, whereas only 5% of them have traveled farther than 34 μm (
Diffusion in a homogeneous medium is well described as having a Gaussian distribution. Depending on the type of molecule, the temperature of the medium, and the time allowed for diffusion, the distribution will be wider or narrower. The spread of the Gaussian distribution is controlled by a single parameter: variance (σ2). Variance, in turn, depends on two variables, so that σ2 = 2 · D · Δ, where D, the diffusion coefficient, characterizes the viscosity of the medium or the ease with which molecules are displaced. The diffusion coefficient for water at 37°C is approximately D = 3 · 10−9 m2/sec. The longer the diffusion time interval, the larger the variance, because there is more time in which molecules may be displaced.


Molecular Displacement, Diffusion, and Flux

To describe the global behavior of a population of water molecules contained in an imaging voxel, we use the term displacement distribution. Equivalent terms to the latter are displacement probability density function and image of molecular displacement. In the present article, these terms are used interchangeably. When molecules are agitated by thermal energy alone (ie, when molecular displacement takes place through the process of diffusion), the displacement distribution is centered. This means that the average or net displacement of the molecular population is zero. Factors other than heat also may contribute to molecular displacement. For example, a pressure gradient in a pipe may affect molecular displacement. In an ideal setting with no turbulence and no friction, all molecules undergo the same nonzero displacement r. Such a setting produces a very different displacement distribution, in which the histogram is zero everywhere except in the position r, which has the value N/N = 1 because all the molecules have been displaced the same distance. This type of displacement is called flux. In flux, molecules are displaced over a nonzero average distance. Although diffusion and flux may occur together, for the sake of simplicity we have chosen in the present article to focus on diffusion only. Therefore, the word displacement is often replaced with the more specific term diffusion.


Diffusion Contrast Encoding

To depict the displacement distribution, diffusion must be linked to the signal intensity measured at MR imaging. As previously mentioned, water molecules move randomly in the presence of thermal energy. In 1950, Hahn noted that the motion of spins (ie, hydrogen protons of the water molecule) in the presence of a heterogeneous magnetic field led to a decrease in signal intensity . In 1956, Torrey established the fundamental equations used to describe the magnetization of spins in an MR spectroscopy experiment . Since then, these equations have come to be regarded as the most fundamental equations in diffusion imaging.

The results of the first MR spectroscopy experiment specifically designed to measure diffusion were reported in 1965 by Stejskal and Tanner . In their experiment, the investigators used a pulsed gradient spin-echo (SE) sequence, a technique based on the observation that spins moving in the magnetic field gradient direction are exposed to different magnetic field strengths depending on their position along the gradient axis. As is well known in MR imaging, an adequately applied magnetic field influences the phase of the spins, with the degree of influence depending on the strength of the field. Compared with a classic SE sequence, the pulsed gradient SE sequence includes two additional diffusion gradient pulses . The first of the two gradient pulses in this sequence introduces a phase shift that is dependent on the strength of the gradient at the position of the spin at t = 0. Before the application of the second gradient pulse, which induces a phase shift dependent on the spin position at t = Δ, a 180° RF pulse is applied to reverse the phase shift induced by the first gradient pulse. Since the diffusion-encoding gradient causes the field intensity (ie, phase shift) to vary with position, all spins that remain at the same location along the gradient axis during the two pulses will return to their initial state. However, spins that have moved will be subjected to a different field strength during the second pulse and therefore will not return to their initial state but will experience a total phase shift that results in decreased intensity of the measured MR spectroscopic signal. The longer the displacement distance is, the higher the phase shift and the greater the decrease in signal will be. Hence, the resultant image shows low signal intensity in regions where diffusion along the applied diffusion gradient is high.


Diffusion Spectrum Imaging

Diffusion spectrum imaging may be described as the reference standard of diffusion imaging because it is the practical implementation of the principles derived earlier and is the diffusion imaging technique that has a sound basis in physical theory . Suitable for in vivo application, it provides a sufficiently dense q-space signal sample from which to derive a displacement distribution with the use of the Fourier transform. The technique was first described by Wedeen et al .

If established practice is followed, 515 diffusion-weighted images are acquired successively, each corresponding to a different q vector, that are placed on a cubic lattice within a sphere with a radius of five lattice units. The lattice units correspond to different b (or q) values, from b = 0 (which corresponds to the centerpoint of the sphere) to, typically, b = 12,000 sec/mm2 (which is a very high b value). The Fourier transform is computed over the q-space data. If the imaging matrix size is 128 × 128 × 30, the same number of Fourier transform operations will be necessary as the diffusion probability density function is computed for every brain location.

Traditionally, 515 images were considered necessary to obtain data of good quality, although the acquisition of that number of images is very time consuming. With improvements in MR imaging hardware and techniques in recent years, and in view of additional very recent experience, fewer sampling points seem to be necessary; the probability density function can be reconstructed with approximately 257 or even 129 images by sampling only one hemisphere in q-space. Of course, the signal-to-noise ratio and angular resolution may change accordingly. The time for imaging of both brain hemispheres thus can be reduced from approximately 45–60 minutes to as little as 10–20 minutes, an acquisition time that makes the technique feasible in a clinical setting .

With the application of the Fourier transform over q-space in every brain position, a 6D image of both position and displacement is obtained. Diffusion at each position is described by the displacement distribution or the probability density function, which provides a detailed description of diffusion and excellent resolution of the highly complex fiber organization, including fiber crossings. Since diffusion spectrum imaging is mostly used for fiber tractography, in which only directional information is needed, the probability density function is normally reduced to an orientation distribution function by summing the probabilities of diffusion in each direction .

 Technique

Diffusion-weighted MR Imaging

Diffusion-weighted MR imaging is the simplest form of diffusion imaging. A diffusion-weighted image is one of the components needed to reconstruct the complete probability density function as in diffusion spectrum imaging. A diffusion-weighted image is the unprocessed result of the application of a single pulsed gradient SE sequence in one gradient direction, and it corresponds to one point in q-space. Even though such an image is rather simple, it does contain some information about diffusion. In Figure 13, the left splenium of the corpus callosum appears bright, whereas the right splenium appears dark. In regions such as the right splenium, where the main diffusion direction is aligned with the applied diffusion gradient, the intensity of the signal is markedly decreased, and the region therefore appears darker on the image. In the ventricles, diffusion is free and substantial in all directions, including the applied gradient direction, and therefore the entirety of the ventricles appears dark. Despite its simplicity, diffusion-weighted imaging is routinely used in investigations of stroke . Indeed, in acute stroke, the local cell swelling produces increased restriction of water mobility and hence a bright imaging appearance due to high signal intensity in the area of the lesion. The benefit of diffusion-weighted imaging is that the acquisition time is short, since only one image is needed.


ADC and Trace

The problem of diffusion-weighted imaging is that the interpretation of the resultant images is not intuitive. To resolve this problem, let us assume that the diffusion has no restrictions and that its displacement distribution therefore can be described with a free-diffusion physical model, which is a 3D isotropic Gaussian distribution. In this model, the physical diffusion coefficient D is replaced by the ADC, which is derived from the equation ADC = − b ln(DWI/b0), where DWI is the diffusion-weighted image intensity for a specific b value and diffusion gradient direction, defined as in the previous section, and b0 is a reference image without diffusion weighting. Thus, to obtain an image of the ADC values, two acquisitions are necessary.

The ADC is very dependent on the direction of diffusion encoding. To overcome this limitation, one can perform three orthogonal measurements and average the result to obtain a better approximation of the diffusion coefficient. This method is equivalent to the derivation of the trace from the diffusion tensor, described in more detail in the next section.

Diffusion Tensor Imaging and Derived Scalars

For ADC imaging, we have assumed that diffusion follows a free-diffusion physical model and is described by an isotropic Gaussian distribution. This model often is too simplistic, especially if we are interested in the orientation of axonal bundles in which diffusion is expected to be anisotropic (ie, not the same in all directions). For purposes of discussion, then, let us assume that diffusion remains Gaussian but may be anisotropic. In other words, diffusion may be cigar or disc shaped but also may be spherical, as in isotropic diffusion. Anisotropic Gaussian distributions have six degrees of freedom instead of one. Therefore, to fit our model, we must sample at least six points in q-space with q ≠ 0 (diffusion-weighted images) and one point with q = 0 (reference image) . In general, a b value of approximately 1000 sec/mm2 is used. To fit the resultant data to the model, we must solve a set of six equations like the equation given earlier. The result is a diffusion tensor (instead of a diffusion coefficient) that is proportional to the Gaussian covariance matrix (instead of the Gaussian variance) .This diffusion tensor is a 3 × 3 matrix that fully characterizes diffusion in 3D space, assuming that the displacement distribution is Gaussian. The diffusion tensor is usually represented by an ellipsoid or an orientation distribution function


Diffusion Tensor Imaging and Diffusion Spectrum Imaging

Because of the limited number of applied diffusion gradients and degrees of freedom, the diffusion tensor model is incapable of resolving fiber crossings. In contrast, diffusion spectrum imaging is not predicated on any particular hypothesis concerning diffusion. Accordingly, its capability to resolve the diffusion probability density function depends only on the resolution in q-space, and its capability to resolve fiber crossings depends only on the related angular resolution. In Figure 17, images obtained with the two methods are juxtaposed. The regions in which the most striking difference can be seen are the pons, where the corticospinal tract and middle cerebellar peduncle cross, and the centrum semiovale, where the corticospinal tract crosses the corpus callosum and the arcuate fasciculus.


Diffusion MR Tractography

Brain fiber tractography is a rendering method for improving the depiction of data from diffusion imaging of the brain. Although a detailed discussion of tractography is beyond the scope of this article, a short introduction is necessary because tractography is one of the most powerful tools developed to aid image interpretation. The primary purpose of tractography is to clarify the orientational architecture of tissues by integrating pathways of maximum diffusion coherence. Fibers are grown across the brain by following from voxel to voxel the direction of the diffusion maximum. The fibers depicted with tractography are often considered to represent individual axons or nerve fibers, but they are more correctly viewed in physical terms as lines of fast diffusion that follow the local diffusion maxima and that only generally reflect the axonal architecture. This distinction is useful because, for a given imaging resolution and signal-to-noise ratio, lines of maximum diffusion coherence (ie, the computer-generated fibers) may differ from the axonal architecture in some brains. Tractography adds information and interest to the MR imaging depiction of the human neuronal anatomy.

The connectivity maps obtained with tractography vary according to the diffusion imaging modality used to obtain the diffusion data. For example, diffusion tensor imaging provides a Gaussian approximation of the actual displacement distribution, and since the representation of that distribution is restricted to variations of an ellipsoid, this method creates various biases in the tractography result. In contrast, diffusion spectrum imaging with tractography overcomes many of those biases and allows more realistic mapping of connectivity. The tractography result also depends on the tracking algorithm used. Deterministic fiber tracking from diffusion tensor imaging uses the principal direction of diffusion to integrate trajectories over the image but ignores the fact that fiber orientation is often undetermined in the diffusion tensor imaging data. To overcome this limitation of the data, Hagmann and colleagues, as well as other investigators, investigated statistical fiber tracking methods based on consideration of the tensor as a probability distribution of fiber orientation .

The application of fiber tractography to data such as those obtained with diffusion spectrum imaging or q-ball imaging results in the depiction of a large set of fiber tracts with a more complex geometry . The greater complexity obtained with this method, compared with that from tractography with diffusion tensor MR imaging data, is due to the consideration of numerous intersections between fibers that can be resolved or differentiated. 







1 comment:

Lukas Anna said...

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