Abstract
Glucose hypometabolism and gray matter atrophy are well known consequences of Alzheimer's disease (AD). Studies using these measures have shown that the earliest clinical stages, in which memory impairment is a relatively isolated feature, are associated with degeneration in an apparently remote group of areas—mesial temporal lobe (MTL), diencephalic structures such as anterior thalamus and mammillary bodies, and posterior cingulate. These sites are thought to be strongly anatomically inter-connected via a limbic-diencephalic network. Diffusion tensor imaging or DTI—an imaging technique capable of probing white matter tissue microstructure—has recently confirmed degeneration of the white matter connections of the limbic-diencephalic network in AD by way of an unbiased analysis strategy known as tract-based spatial statistics (TBSS). The present review contextualizes the relevance of these findings, in which the fornix is likely to play a fundamental role in linking MTL and diencephalon. An interesting by-product of this work has been in showing that alterations in diffusion behavior are complex in AD—while early studies tended to focus on fractional anisotropy, recent work has highlighted that this measure is not the most sensitive to early changes. Finally, this review will discuss in detail several technical aspects of DTI both in terms of image acquisition and TBSS analysis as both of these factors have important implications to ensure reliable observations are made that inform understanding of neurodegenerative diseases.
Introduction
Alzheimer's disease (AD) is characterized, histopathologically, by amyloid deposition and neurofibrillary tangles (composed of hyperphosphorylated tau); these features occur in somewhat topographically distinct distributions in the brain. The ultimate outcome of AD is neuronal loss though exactly how histopathological features interact with each other and how they relate, in turn, to neuronal degeneration remains rather unclear. It seems reasonable to assume, nonetheless, that neuronal—and synaptic—loss is critical to the development of cognitive impairment. To date, therapeutic attempts to slow the course of AD have targeted the histopathology. A possible alternative, or even complimentary approach, might be to understand what makes some neuronal populations in the central nervous system more vulnerable to degeneration than others with a view to finding ways to make neurons less vulnerable to pathological insult—regardless of what that pathological insult might be. Such an approach requires a precise understanding of the spread of neurodegeneration and this can only be achieved by studies in humans rather than disease models.
Historically, in vivo work to understand the landscape of neurodegeneration in AD has focused on atrophy detection using T1-weighted magnetic resonance imaging (MRI) and metabolic studies using (18F)-2-fluoro-deoxy-D-glucose positron emission tomography (FDG-PET)—the latter being primarily a marker for synaptic loss. Both of these modalities typically focus on changes in gray matter (GM) and have tended to show what, at first glance, appear to be different profiles of degeneration (Ishii et al., ). Structural MRI has been good at highlighting mesial temporal lobe (MTL) atrophy (Du et al., ; Jack et al., , ), while FDG-PET has typically highlighted early changes in posterior association cortex (Minoshima et al., ) with the posterior cingulate region in particular appearing as the first hypometabolic region in very early symptomatic AD (Minoshima et al., ; Nestor et al., ). This apparent discrepancy between structural MRI and FDG-PET may well, however, be technical. For instance, much of the work on MTL atrophy derives from region-of-interest (ROI) studies that did not examine for atrophy elsewhere. Where whole brain analyses were conducted, most used the voxel-based morphometry (VBM) technique (Ashburner and Friston, ) though recent evidence highlights that although this method is good at identifying MTL atrophy, it is relatively insensitive to atrophy in the isocortical ribbon (Diaz-De-Grenu et al., ); in contrast, using the Freesurfer's cortical thickness method (Dale et al., ; Fischl et al., ), atrophy of the cortical ribbon in posterior association cortex emerges in a pattern highly reminiscent of that seen with FDG-PET (Diaz-De-Grenu et al., ). Similarly, although ROI studies in the cortical ribbon are rare, manual volumetry of the posterior cingulate region in MCI-stage AD has confirmed comparable degrees of atrophy to that seen in the hippocampus (Choo et al., ; Pengas et al., ). Looking at the apparent discrepancy in these imaging modalities from the FDG-PET side, voxel-based analysis (VBA) appears relatively insensitive to MTL changes in early AD; however, using MRI-derived ROIs to calculate cerebral metabolic rates (i.e., quantified imaging), FDG-PET identified significant hypometabolism not only in the posterior cingulate but also the MTL, as well as anterior thalamus and mammillary bodies (Nestor et al., ). This “limbic-diencephalic” network, therefore, appears to be the correlate of very early symptomatic AD when memory impairment is a relatively isolated feature. It is interesting, therefore, that these network structures—MTL, posterior cingulate, anterior thalamus and mammillary bodies—which are connected through the circuit of Papez (Papez, ), have all been individually implicated from focal lesions in human amnesia.
The hypothesis that these structures are degenerating in concert predicts that white matter (WM) projections between these areas—such as, for instance the fornix, which links the MTL with the diencephalon—should also show signs of degeneration. To test such hypotheses as well as to understand how degeneration in AD may impact on areas remote from GM degeneration more generally, the relatively more recent technique of diffusion tensor MRI offers considerable promise. Diffusion MRI enables mapping of WM microstructure alterations in development, aging and neurological disorders, and has therefore become an important tool in the study neurodegeneration. Parenchymal WM is composed of bundles of axons (or fiber tracts) that interconnect GM areas. The diameter of neuronal fibers is well below MRI resolution but the technique can be sensitized to measure the displacement of water molecules as a surrogate marker of tract integrity. Axonal membranes, myelin sheaths and cytoskeletal constituents such as microtubules and neurofilaments are long structures that may hinder water diffusion preferentially perpendicular to their length; this phenomenon enables MRI to detect abnormalities caused by neurodegenerative diseases such as loss of fibers, demyelination, damage within fibers or to support tissue around them (Beaulieu, ). The technique remains fairly new and there has been a relatively steep learning curve in terms of understanding and interpreting diffusion tensor imaging (DTI) (Alger, ; Winston, 2012); this learning process is far from over. What is clear at this time is that technical factors—both in terms of acquisition parameters and analysis methods—play a more important role in terms of generating spurious findings compared to older modalities such as structural T1-weighted imaging and FDG-PET. The outcome being that the DTI literature in AD can come across as a confusing jumble of inconsistent abnormalities—an unsurprising observation considering DTI's vulnerability to spurious results when suboptimal experimental designs are employed. The prescription of DTI acquisitions with fewer-than-recommended diffusion-encoding directions, low b-values or thick slices; the study of mild cognitive impairment (MCI) cohorts without clinical outcome and the detrimental effect of Gaussian smoothing in post-processing pipelines are the most likely contributors to such inconsistencies.
It is crucial therefore that clinicians and researchers have some understanding of the pitfalls that can arise from inadequate methods in order to interpret what have often been rather contradictory results in DTI studies. This review will focus on what we have learned from DTI in AD to date, but also will go into some detail in explaining the methodological issues that can cause problems for DTI studies.
The physical basis of DTI
The present section is not intended as a comprehensive description of DTI theory—for that, extensive reviews can be found elsewhere (Kingsley, ,,). It aims, however, to provide an intuitive understanding of the method and an appreciation of the possible tensor dynamics that can arise with neurodegeneration; these are important theoretical considerations because diffusion, as measured with the “single tensor” model (Basser et al., ), is based on a number of assumptions that lead to certain limitations; limitations that have been extensively discussed in the diffusion MRI literature (Jones and Cercignani, ; Jones et al., ), but that are often overlooked in clinical studies. Nevertheless, DTI is a powerful technique to study neurodegenerative diseases; thus, an overview of its theoretical foundations will also enable a more clear understanding of the discoveries that have been made to date in AD. The theoretical underpinning of DTI can, however, seem impenetrable for non-specialists even when most of the background mathematics is omitted, as is the case in this section. For readers, therefore, who might find the physics described in this section too daunting, we suggest simply focusing on the Figures and their captions; and with a brief understanding of what a diffusion tensor means, one can then skip on to the following section “Technical considerations for clinical DTI studies” for a discussion of the factors that influence the suitability of DTI scans for clinical studies.
Brownian motion, also known as “self-diffusion,” is a physical phenomenon arising from matter's intrinsic thermal energy that leads to pseudo-random kinetic fluctuations. Such molecular thermal motion is named after Robert Brown—a Scottish botanist—who first observed such behavior in grains of pollen suspended in water (Brown, ). A full mathematical description emerged a few decades later when Adolf Fick—a physiologist studying mass transport in saline solutions—proposed that microscopic motion could be seen as a probability density function (pdf) of a particle's location in space and time, i.e., as the likelihood of finding a particle in a certain place at a certain time, and then went on to predict that self-diffusion must be governed by such time-dependent probabilistic behavior (Fick, ). Soon after the turn of the 20th century, Albert Einstein solved the general case of Fickian diffusion to provide an analytical answer to the practical question: how far do “free particles” travel “in average” during a time interval? Einstein proposed a simple “random walk” model comprising a series of discrete, unrestricted, independent and uncorrelated steps, which led him to discover that for such boundary conditions, Fick's pdf is a Gaussian distribution whose width—a measure of average molecular displacement—is modulated by two factors: time and a parameter dependent on fluid viscosity and temperature; he figured the latter must be a self-diffusion coefficient, D (Einstein, ) (see Figure 1A).
Figure 1
Since the inception of “spin echoes” in 1950, the MR signal has been known to be sensitive to molecular thermal motion (Hahn, ; Carr and Purcell, ; Torrey, 1956), which hereafter will be assumed to be that of hydrogen protons in water molecules within human brain tissue. Applying Einstein's relationship, it was determined that “free diffusion” under the effect of a steady magnetic field “gradient” attenuates the MR signal. This was first observed because field gradients (i.e., gradual increments or decrements in magnetic field strength) occur naturally when an experimental sample is introduced into the uniform magnetic field of a magnet and disturbs it. Magnetic field gradients, however, can be applied artificially to vary the main field gradually along one direction; such gradual field change, in essence, labels protons according to their spatial position. Stronger gradients, therefore, have the capability of giving a wider range of spatial signatures that result in higher image resolutions (if we refer to imaging gradients) or finer sensitivity to motion (if we refer to diffusion MRI). It was soon realized, however, that measuring self-diffusion through the application of sustained gradients was inconvenient and largely ineffective. Then in 1965, Stejskal and Tanner proposed that the amount of diffusion weighting in the MR signal could be finely controlled with a pair of identical, short-lived, magnetic field gradients (Stejskal and Tanner, ) (see Figure 1B). Pulsed gradients sequentially label, and then unlabel, protons according to their position; with the result that if a proton moves to a different location after a “diffusion time”—i.e., when the second gradient is applied—, the proton gets assigned a wrong label and returns less signal according to how far it has moved. This principle—the basis for most diffusion MRI acquisitions today—results in an overall signal intensity attenuation due to free diffusion that depends on the self-diffusion coefficient, D, and the gradient characteristics. For simplicity, and because in MRI there is a complex interaction between diffusion and imaging gradients, the overall effect of motion-sensitizing gradients is often synthesized into a so-called “b-value.” This is convenient because the signal attenuation due to diffusion can be expressed simply by an exponential function of D and b, i.e., S ∝ exp (−bD). As in any spin echo experiment, however, the signal also decays due to transverse relaxation (T2) effects; thus, for the signal to depend only on the effects of water mobility, it must be normalized by a reference measurement without diffusion weighting, S0, also known in DTI jargon as a “b0 scan.” Two measurements, therefore, are sufficient to infer a diffusion coefficient as: D = −ln (S/S0)/b; or in visual representation terms, that D is the negative of the slope connecting the two data points in Figure 1C.
The information that a Stejskal-Tanner experiment provides, however, is limited because the positions of resonant protons can only be encoded along the direction of the applied field gradient; thus, D only reflects the effect of self-diffusion along that specific spatial dimension. This is enough to characterize an isotropic medium, e.g., if measuring water's self-diffusion in a bucket, because diffusion measured in a given dimension will be same as that of every other dimension, but to probe a complex system with multiple, rotationally variant diffusion behaviors such as biological tissue one needs, in theory, an infinite number of observations with sensitizing gradients along an infinite number of diffusion orientations.
In an attempt to capture such directional dependency while keeping experimental requirements feasible, Basser et al. proposed the generalization of Einstein's equation by extending the Gaussian pdf idea to a second order, symmetric, definite-positive covariance matrix, D, and this is the diffusion tensor (Basser et al., ):
D is a reciprocal matrix with Dxy = Dyx, etc—i.e., it only has six “independent” scalar elements: Dxx, Dxy, Dxz, Dyy, Dyz, and Dzz; thus, in order to reconstruct a diffusion tensor, the minimum requirements are one S0 (b = 0 s/mm2 or b0) measurement and six diffusion measurements applying gradients along six non-collinear orientations (see Figure 2A)—i.e., Nd, the number of diffusion gradient directions, must be at least 6, though Nd can be larger with obvious benefits (see Figure 2B). The single tensor model proposed by Basser et al. requires that all diffusion directions (b-vectors), b-values and b0 information (which can also be provided through multiple scans to improve stability) must be stored as a B-matrix, leading to a linear system of equations that can be solved for the six independent terms of D and for S0 efficiently across an entire imaging volume.
Figure 2
Another convenient feature of the diffusion tensor is that it can be expressed in its quadratic form as an ellipsoidal surface that characterizes the water displacement probability at a given diffusion time, i.e., an ellipsoid that visualizes the 3D character of water mobility; though in the present form, i.e., that in Equation (1), D is still rotationally variant because it depends on the principal diffusion orientation relative to the x. y, and z axes of the scanner or to whatever coordinate system the b-vectors were in (see Figure 2C). D, however, is positive and symmetric regardless of such orientation; thus, using linear algebra, it can be easily made diagonal for a specific orientation—i.e., it can be decomposed into a set of orthonormal eigenvectors and related eigenvalues (see Figure 2D):
In essence, the diagonalization step in Equation (2) rotates the principal axes of D to match the principal directions of diffusivity, leading, as a result, to a diffusion tensor that is rotationally invariant for each imaging “voxel.”
A number of metrics can be derived from the diffusion tensor; for example, the 3D “mean square displacement” of water molecules during a diffusion time can be derived by averaging the three tensor eigenvalues to form a DTI metric known as “mean diffusivity”: MD = (λ1 + λ2 + λ3)/3. In addition, the rotational invariance of the diffusion tensor has clear advantages because water molecules can be generally assumed to “diffuse” due to their thermal energy more readily along the length of a uniaxial environment than perpendicular to it. It is, thus, commonly assumed when referring to, e.g., parenchymal WM, that the eigenvector, ε1, associated with the largest eigenvalue, λ1—known as “axial diffusivity”—maps the principal orientation of a fiber tract. Similarly, diffusivities along ε2 and ε3—typically averaged to form “radial diffusivity,” i.e., RD = (λ2 + λ3)/2—reflects the diffusion behavior transverse to an axonal path. Therefore, the inter-relationship between eigenvalues—i.e., between axial and radial diffusivities—contains relevant information about the geometry of the restricting microstructure. For example, in a scenario where axons are tightly packed together such as, e.g., the mid-sagittal corpus callosum, water molecules are more restricted perpendicular to the axons, hence λ1 >> λ2 ≥ λ3, or λ1 >> RD—i.e., it can be represented as a cigar-shaped diffusion ellipsoid with the long axis parallel to the axons (see Figure 3). In other regions, however, where, e.g., two tightly packed WM bundles cross, water molecules in the extra-cellular space might travel more freely across a plane, λ1 ≥ λ2 >> λ3, hence λ1 > RD—i.e., the ellipsoid adopts a planar geometry; whereas in WM areas where multiple fiber bundles cross, or in GM or cerebrospinal fluid (CSF), where water diffusion does not exhibit a preferential orientation because obstacles are randomly distributed in space or because there are no restrictions at all, the ellipsoid is largely “isotropic,” i.e., λ1 ≈ λ2 ≈ λ3, thus λ1 ≈ RD. The eccentricity of the diffusion ellipsoid, therefore, is an important property that can provide useful information about the biological tissue under investigation. This property is typically measured using the “second moment” of the diffusion tensor, because of its robust noise properties, by a metric known as fractional anisotropy (FA): (Basser and Pierpaoli,
Figure 3

Differential tensor behaviors in white matter. Cell membranes are thought to be the main restricting boundary to water mobility in white matter. As such, the ratio of axial to radial diffusivities, commonly described by a metric known as “fractional anisotropy” (FA), can reflect the coherence (sometimes thus the integrity) of packed axons in white matter. FA approaches one in well-organized tracts, where the diffusion ellipsoid is elongated along the principal tract orientation; and tends to zero, in less coherent environments—i.e., in heterogeneous areas of many crossing fibers, and in gray matter or cerebrospinal fluid—, where the ellipsoid resembles a sphere. In the full complexity of white matter microstructure, however, the ellipsoid can take a wider range of geometries from that of a rugby ball to that of surfboard or a dish—with the degree of sphericity and planarity dictated primarily—but not only—by axon packing density, degree of myelination and/or the geometrical arrangement of crossing, kissing and/or splaying fiber populations.
The pseudo-random (Gaussian) nature of unrestricted diffusional motion is, in turn, the theoretical basis supporting the single tensor model in DTI (Basser et al.,
Figure 4

The approximate nature of the “single tensor” model. (A) “Restricted” diffusion processes such as those in white matter result in displacement probabilities that are no longer accurately described by a Gaussian “bell.” (B) Therefore, the assumption that the signal attenuation must have a linear relationship in a logarithmic scale with the b-value is no longer valid, resulting in tensor diffusivities that are “apparent” (i.e., model approximations) rather than “true” measures of restricted self-diffusion.
A further caveat is that most DTI experimental designs assume that tensor behaviors are independent of diffusion time—i.e., that the brain parenchyma is a restricted environment in a “pseudo-Gaussian” state, where diffusion time is long relative to the time needed for water molecules to be hindered/restricted by cellular membranes or other microstructural components. Note that the former are thought to be the primary microstructural restrictions to water diffusion in white matter (Beaulieu and Allen,
Figure 5

The “diffusion regimes.” (A) White matter is a complex—but relatively ordered— microstructure primarily composed of nerve fibers (axons) and glial cells. Axons are bundled together; their main role is to transport substances intra-cellularly through microtubules and conduct electricity to enable inter-communication between cells. The myelin sheath—a “fatty” insulating layer around the axons—facilitates such conduction. In the healthy brain, such microstructure exerts restrictive boundary conditions to water diffusion. (B) The exact mechanism by which microstructural damage occurs in neurodegenerative diseases is unknown but it is conceivable that, after a period of instability, demyelinative and other axon degeneration processes will lead to longer “diffusion paths.” If therefore, the diffusion time is sufficiently long and the gradients sufficiently strong, such diffusion behavior will yield a change in signal attenuation that will be reflected in tensor diffusivities. (C) If, however, some diffusing molecules cease to interact with microstructural barriers during a given diffusion time, the axial to radial relationship would be dependent on the local geometry leading to heterogeneous tensor behaviors across the brain. (D) In the extreme case, where the diffusion time is too short for molecular displacements to be hindered, tensor diffusivity measures would be unable to detect further change. Large b-values—enabling long diffusion times and strong gradients—make the diffusion measurement with magnetic resonance both more sensitive to subtle microstructural alterations in highly restricted environments, and less prone to diffusion-time dependencies.
While these important theoretical considerations and limitations should not be ignored, DTI can be very useful to probe abnormal tissue microstructure. For instance, in a pseudo-Gaussian scenario where several fiber tracts are damaged as a consequence of a disease, diffusion hindrance would be reduced (see Figure 5B), i.e., pdfs would approximate more readily to a Gaussian distribution, and would return greater diffusivity values closer to the intrinsic unrestricted self-diffusion coefficient; it is this change in diffusivity pattern that can indicate abnormality in degenerative disease states. In addition, because the tensor model yields three rotationally invariant—and orthogonal—diffusivities (λ1, λ2, and λ3), a disproportionate diffusivity change along a particular orientation will impact on absolute (axial and radial) diffusivities, or composite measures of diffusion anisotropy such as FA as illustrated in Figure 3.
It is presently unknown whether diffusion-time dependencies might be a confounding force in the study of neurodegenerative diseases; for now, they remind us that caution must be at the forefront in DTI interpretations. Unfortunately, DTI studies in neurodegenerative diseases have often been guilty of over-interpreting results, particularly when such interpretations are based on consistency with prior knowledge rather than offering a proof of a given mechanism. Mechanisms underpinning DTI changes in clinical cohorts are often inferred by citing homology with controlled animal experiments or computer simulations, where processes such as myelin loss, fiber reorganization, changes in membrane permeability, etc, are modeled in isolation—for a extended review see Beaulieu (
Technical considerations for clinical DTI studies
Historically, T1-weighting has been the MRI contrast of choice to study structural abnormalities in the human brain. It is clear that imaging parameter discrepancies or different field strengths result in differential method sensitivity, but overall they tend to be relatively concordant if the same processing steps are used. This is because structural MRI post-processing methods typically concentrate on resolving and standardizing different types of tissue using large amounts of prior anatomical knowledge; this makes such analysis strategies relatively immune to differences, e.g., in signal-to-noise ratio (SNR). Unlike structural MRI, however, DTI relies on quantitative information to yield meaningful assessments; thus, DTI sensitivity and stability strongly depend on how robustly the signals have been acquired. Therefore, additional precaution must be taken when reviewing the literature because the ability of diffusion MRI to accurately reconstruct tensorial information strongly depends on measurement SNR, which varies throughout the brain, between subjects and across studies. It is likely that when non-specialists read an imaging study, acquisition details—which may seem an impenetrable paragraph of technical jargon—are skipped over. Such information though is critical to DTI because some acquisition protocols that have been applied in clinical studies are simply not fit for purpose. It is beyond the scope of the present manuscript to discuss in detail every relevant factor—for a more specialized review, see e.g., Jones and Cercignani (
The DTI acquisition scheme
The “b-value” is the parameter that tunes how much microstructural information the diffusion MR signal can carry. Relatively large b-values are needed to ensure both (i) that strong diffusion gradients sensitize water motion in complex, highly restricted environments, and (ii) that the diffusion time is sufficiently long to enable “meandering” diffusion paths to probe less restricted (or diseased) microstructure. Early computer simulations suggested that for a single non-zero b-value experiment, b = 1250 s/mm2 minimizes fitting errors for a mean diffusivity of 0.7 × 10−3 mm2/s, i.e., approximately that of brain parenchyma (Xing et al., 1997). More recent simulations have demonstrated that even taking the simplification that the human brain is constituted by single-orientation fiber populations, i.e., that crossing fibers are not present, the b-value—if interested in MD and FA—should not be lower than b = 900 s/mm2 (Alexander and Barker,
Returning to the present, it is important to avoid low SNR because the noise floor may damp signal decay, resulting in artefactually reduced diffusivities; this effect is orientation dependent in the WM because faster signal decays—caused by greater diffusivities along tracts—are more vulnerable to this effect, resulting in artefactual reductions of diffusion anisotropy. This is critically important because if one is attempting to map the distribution of WM change in degenerative brain disease it is possible to miss changes in affected areas where the local fiber orientations were more vulnerable to the effects of low SNR. Signal levels are modulated by the magnetic field strength, the type of radio-frequency coil used and imaging parameters such as the echo time (TE); number of b-values (Nb); number of repeat excitations (NEX); receiver bandwidth or parallel imaging acceleration, e.g., GRAPPA (Griswold et al.,
The influence of suboptimal gradient sampling schemes is also an important factor to consider when scrutinizing the literature. Diffusion weighting along six unique orientations (see Figures 2A,B) and the acquisition of a reference non-diffusion weighted (or b0) image are the minimum requirements to reconstruct DTI parametric maps; but to ensure primary diffusivities are independent of fiber orientation—i.e., to ensure DTI metrics are rotationally invariant –, one has to probe diffusion behaviors evenly and at a high spatial frequency. This is because tensor eigenvalues, hence diffusivities and anisotropy estimates, are more robust when WM tracts are collinear with one of the motion-sensitizing gradients (Jones,
An additional factor that may play a role in DTI robustness is the accurate estimation of S0 through multiple b0 scans (Nb0). To our knowledge, this has not been systematically investigated, though in theory its impact will depend on SNR (TE, parallel acceleration factor, etc), and on the prescribed number of b-values—becoming less relevant with increasing Nb. It is conceivable, however, that a large Nb0 can help stabilize the measurements for little additional scan time—particularly in single b-value experiments.
Figure 6 illustrates the choice of b-value, Nb and Nb0 dependence on DTI reconstructions. All maps were inferred from subsets (or the complete dataset) of a single acquisition with Nd = 30, two non-zero b-values (b = 700 and 1000 s/mm2) and Nb0 = 12—i.e., Nm = 72. Notable improvement in the calculation of diffusivities and anisotropy can be observed with the increase in b-value from 700 to 1000 s/mm2. As would be expected, further improvements are noticeable when using the information from both b-values in combination; though the highest diffusivity-to-noise ratios are returned by the complete dataset with a larger number of b0 scans. It is, therefore, clear that they all contribute to improving DTI measurement stability.
Figure 6

Comparison of DTI parametric maps with different b-value, number of b-values (Nb) and number of b0 scans (Nb0). MRI measurements were performed on a Siemens Verio 3T system (Siemens Medical Systems, Erlangen, Germany)—gradient coils capable of 45 mT/m and 200 T/m/s slew rate—with a 32-channel phased-array head-coil. Diffusion volumes were acquired using a standard twice-refocused, single-shot EPI pulse sequence: repetition/echo time = 9000/94 ms; matrix, 120 × 120; 63 contiguous slices aligned parallel to the anterior commissure/posterior commissure line; voxel size: 2 × 2 × 2 mm3; 7/8-phase partial Fourier; bandwidth of 1667 Hz/pixel and echo spacing of 0.68 ms. Diffusion gradients were applied along Nd = 30 non-collinear directions (Siemens default vectors) with Nb = 2 non-zero b-values (b = 700 and 1000 s/mm2), and Nb0 = 12 reference scans. Parallel imaging was enabled (GRAPPA, acceleration factor = 2 and 38 reference lines), leading to a total scan time of 11 min and 15 s. DTI maps were computed with standard tools from FSL's diffusion toolbox. (Left to right columns): (i) Nb = 1 (b = 700 s/mm2), Nb0 = 1 (5:06); (ii) Nb = 1 (b = 1000 s/mm2), Nb0 = 1 (5:06); (iii) Nb = 2 (b = 700 and 1000 s/mm2), Nb0 = 1 (9:36); (iv) Nb = 2 (b = 700 and 1000 s/mm2), Nb0 = 12 (11:15).
Correia et al. (
Figure 7

White matter tracts that are usually prone to measurement error. (A) The body of the corpus callosum (top arrow) and the body of the fornix (bottom arrow) are often problematic because they are adjacent to cerebrospinal fluid. The cingulum bundle, (B) which is typically less vulnerable at the level of the posterior cingulate, (C) is sometimes prone to partial volume contamination and other types of measurement error in the parahippocampal region due to its thinner physical appearance (Jones et al.,
In conclusion, although DTI is becoming a mature technique, there is not yet a universal agreement on the minimum requirements for a reliable DTI acquisition, or on an optimal image acquisition scheme for a given scan time, so we must reconcile with the fact that different DTI studies to date may have sensitized their acquisitions very differently.
The post-processing methodology
Post-processing methods are also highly relevant to interpreting DTI literature. To date, a number of analysis strategies have been used including region-average, histogram or voxel-/cluster-based. No method, however, has demonstrated systematic superiority in every scenario; though it is widely accepted that for unbiased whole-brain assessments, the tract-based spatial statistics (TBSS) approach (Smith et al.,
Figure 8

Tract-based spatial statistics (TBSS) processing pipeline. (Left to right) DTI-derived fractional anisotropy (FA) images are co-registered to a template; they are then averaged, from which a “skeleton” containing all major tract centers common to all subjects is derived. Skeleton voxels with low FA-values (typically FA < 0.2) are excluded to ensure only white matter is present. Next, spatially normalized FA images are projected to the skeleton. In this step, the center of each tract is identified for each individual FA image, and projection vectors to their analogous location in the skeleton are computed and applied. Transformation fields (to template space) and projection vectors (to the skeleton) are then also applied to the additional DTI parametric maps (i.e., MD, λ1, RD). Finally, non-parametric, permutation based, statistical testing of the null-hypothesis is performed.
The default TBSS processing pipeline, however, suffers from its own sources of inaccuracy and limitations: it fails to rotate the B-matrix after realigning all images to account for motion and eddy-current effects (Leemans and Jones,
Turning to the issue of image misregistration with standard FSL tools, a recent study has compared the warping performance for a number of co-registration strategies, including the standard TBSS procedure of warping each subject to the FMRIB's FA template (ST-TBSS), the previously recommended method of using the most representative subject as an intermediate registration step (RS-TBSS), and building study-specific (SS-TBSS) or group-wise templates (GW-TBSS)—all in the context of AD (Keihaninejad et al.,
The subject cohort
An important factor that must be considered is the nature of the patient cohort under investigation. Many studies focus on the prodromal stages of AD—typically patients diagnosed with subjective or mild cognitive impairment (SCI/MCI), genetically at risk (e.g., carriers of the apolipoprotein E ε 4 allele), and/or those who are positive for an AD biomarker, e.g., CSF analysis or amyloid-ligand PET. It is noteworthy, however, that not all risk indicators are equivalent; while amyloid-PET is an unambiguous marker of AD neuropathology (Clark et al.,
A further confounding effect that must always be considered is the comorbidity of WM hyperintensities. Studies typically deal with this by excluding cases with such lesions through visual inspection of T2-weighted images; this can also be supported by semi-quantitative measures using the Fazekas visual rating scale (Fazekas et al.,
Multi-center study designs
Multi-site designs are becoming increasingly common in AD research, particularly with the advent of the Alzheimer's Disease Neuroimaging Initiative (ADNI) and related spin-offs (Jack et al.,
Literature synthesis: inclusion criteria
In an effort to evaluate the DTI literature to date in AD, studies meeting the “essential” criteria for this review (Table 1) were selected. Table 2 illustrates the iterative process that led to identification of 13 publications in which an acceptable acquisition and analysis protocol was employed; and in which patients had either clinically probable AD, MCI-stage AD where longitudinal follow-up or biomarkers were used to define probable AD status, or patients with autosomally inherited known gene mutations for AD (Acosta-Cabronero et al.,
Table 1
| Essential (inclusion criteria for this review) |
|---|
| DTI ACQUISITION |
| ✓ Number of diffusion-encoding directions equal to or greater than 30 |
| ✓ Quasi-isometric voxels—ratio between in-plane resolution and slice thickness greater than 0.75, i.e., the geometry of 1.875 × 1.875 × 2.5 mm3 voxels is at the lower limit |
| ✓ Voxels smaller than 20 mm3, i.e., image resolution 2.7 × 2.7 × 2.7 mm3 is at the upper limit |
| ✓ Maximum b-value equal to or greater than 900 s/mm2 |
| STUDY COHORT |
| ✓ (i) Clinical diagnosis of probable AD (at acquisition or through clinical follow-up), (ii) positive CSF analysis for AD (iii) positive amyloid-PET, or (iv) autosomal dominantly inherited mutation carriers |
| ✓ Number of subjects equal or greater than N = 10 in each group |
| DATA ANALYSIS |
| ✓ Voxel-/cluster-wise (or region-average) whole-brain TBSS |
| ✓ Show results for both FA and MD (at least) |
| ✓ Demonstrate results are robust against multiple testing effects |
| Desirable (additional suggested criteria for future studies) |
| DTI ACQUISITION |
| + Studies performed on a single scanner |
| + Use of multiple b-values, i.e., Nb≥ 2 |
| + If Nb = 1, total number of measurements greater than 60, i.e., Nm > 60 |
| + Ensure stable S0 measurement, i.e., Nb0 ≥ 5 |
| + Voxels equal to or smaller than 8 mm3, i.e., image resolution 2 × 2 × 2 mm3 or finer |
| + Perfect voxel symmetry (or within 90%) |
| DATA ANALYSIS |
| + Avoidance of RS-TBSS pipelines |
Selection criteria for DTI studies in Alzheimer's disease included in the present review and additional guidelines for future studies.
Table 2
| # of studies | Remaining | |
|---|---|---|
| 1. PubMed search (“diffusion tensor” OR DTI) AND (Alzheimer’s) on 5/8/2014 | 476 | |
| 2. Not relevant (i.e., tractography based structural/functional connectivity studies, DTI works with marginal reference to AD, etc) | 285 | 191 |
| 3. Not TBSS (i.e., VBA, ROI, atlas-based, etc) | 118 | 73 |
| 4. TBSS in MCI or ApoE4 carriers without clinical outcome or additional biomarker | 27 | 46 |
| 5. TBSS in AD using images with unacceptably thick scan slices | 11 | 35 |
| 6. TBSS in AD using an insufficient number of diffusion-encoding directions (i.e., Nd < 30) | 10 | 25 |
| 7. TBSS in AD using low maximum b-value (i.e., bmax < 900 s/mm2) | 4 | 21 |
| 8. TBSS in non-representative groups (i.e., N < 10 AD subjects) | 2 | 19 |
| 9. TBSS to study AD-related aspects not directly relevant to this comparison (e.g., investigation of neural correlates) | 2 | 17 |
| 10. TBSS in AD with a non-conventional statistical approach | 1 | 16 |
| 11. TBSS in AD where no contrast against controls was shown | 1 | 15 |
| 12. TBSS in AD where only the FA contrast was shown | 2 | 13 |
| Selected TBSS studies in AD | 13 |
Summary of the hierarchical iterative steps leading to the selection of 13 DTI studies in Alzheimer's disease.
Details of the 13 studies that were identified from the literature review can be found in the Supplementary Table. It should also be noted that several of the studies (Douaud et al.,
TBSS in AD: findings from the literature overview
After careful literature filtering for potential technical problems in past studies, a number of consistent TBSS behaviors were identified; it would be wrong to assume, however, that such results provide a definitive understanding of WM changes in AD because, as discussed, alterations in structures that are prone to error may lie undetected for technical reasons. In contrast, prominent DTI effects that have been reproduced in a number of methodologically sound studies are evidence of real phenomena and that may, thus, be interpreted with scientific rigor as disease-related processes.
What does the distribution of diffusion tensor alterations tell about AD?
The selection process identified TBSS studies in AD that generally had a consistent common denominator—i.e., widespread and confluent tensor abnormalities in parietal, temporal and pre-frontal WM—specifically involving long association fibers (including limbic tracts) and inter-hemispheric connections through the corpus callosum. Generally speaking changes were more apparent in posterior areas compared to frontal areas as would be expected from prior knowledge of cortical atrophy studies and FDG-PET. Figure 9 exemplifies such a distribution in a mild AD cohort (Acosta-Cabronero et al.,
Figure 9

TBSS in AD. TBSS results for N = 43 early-stage AD patients (age: 70 ± 6, <MMSE > = 24 ± 4) vs. N = 26 matched controls (age: 68 ± 6) (Acosta-Cabronero et al.,
Two exceptions, however, were found; the studies by Ryan et al. (
The results from Canu et al. (
Studies in symptomatic, young PSEN1 carriers (Ryan et al.,
Focusing on the earliest DTI changes in AD specifically, Molinuevo et al. (
Differential diffusion metric sensitivity during the course of AD
An interesting by-product of TBSS analyses in AD has been in showing that alterations in diffusion behavior are complex—while early (and some recent) studies tended to focus only on FA—often leading to largely insensitive results (Damoiseaux et al.,
The patient cohorts in Mahoney et al. (
In summary, RD progressively increases (and therefore FA progressively decreases) as a function of disease severity—as defined by degree of cognitive impairment—whereas λ1 does not progressively increase. That increasing λ1 is not a function of disease severity, at least in the midline splenium, suggests that the early λ1 increase in AD may be capturing an upstream event to axonal degeneration, whereas processes more directly related to neuronal loss might dominate RD/FA dynamics—implying thus that, whilst λ1 in the splenium could act as a state-specific marker in prodromal disease stages, the spatial distribution of RD/FA changes may be a more suitable staging biomarker.
Fornix changes in AD
Although atlas-based approaches consistently find strong effects in the fornix (Keihaninejad et al.,
Figure 10

TBSS in very mild AD. TBSS results for N = 21 very mild AD patients (age: 72 ± 5, <MMSE > = 26 ± 2) vs. N = 26 matched controls (age: 68 ± 6) (Acosta-Cabronero et al.,
The notion that limbic tracts and the corpus callosum—particularly the splenium—are key features in early stages of AD has now a solid body of evidence. The theory that these regions should show the most advanced degeneration in the course of AD (and therefore be the first to show RD/FA changes) when other areas, being less advanced in the course of disease, would only show λ1 changes is strongly supported by the regional TBSS analysis in mild AD carried out by Huang et al. (
Conclusion
In summary, the existing literature supports the theory that a bilateral neural network that involves preferentially the cingulum bundle, fornix and corpus callosum is vulnerable to early disease processes triggered by the Alzheimer's disease neuropathological cascade. This suggests that the nodes that this network inter-connects—i.e., the mesial temporal lobe, mammillary bodies, thalamus, and posterior cingulate—degenerate as a network, rather than in isolation.
To conclude with a note of caution and a window to future research directions. While much effort was made to rationalize published DTI studies in AD for this review, it remains possible that a large number of technical factors including suboptimal acquisitions, poor tensor reconstruction routines, poor image co-registration performance, or intrinsic DTI limitations, to name a few, might still have resulted in some systematically incorrect results across the literature, in turn, leading to incompletely valid interpretations in this review. A number of technical developments, however, should hopefully soon help confirm, or reject, the above theories: stronger gradient systems enabling larger b-values, shorter echo times and smaller voxels; improved image quality through multiband acquisitions (Frost et al.,
Conflict of interest statement
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Statements
Acknowledgments
We gratefully acknowledge the support from our patients, their relatives and healthy volunteers, without whom our past research reviewed here would have not been possible.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Supplementary material
The Supplementary Material for this article can be found online at: http://www.frontiersin.org/journal/10.3389/fnagi.2014.00266/abstract
Footnotes
1.^In practical terms, however, this is not a problem for neurodegenerative diseases in which degeneration involves large-scale networks as opposed to tiny focal lesions. Visual inspection of a skeleton typically demonstrates that TBSS does not systematically miss any large chunks of the brain. In fact it can be desirable, particularly in neurodegenerative diseases, where the data reduction step to tract centers eliminates to a greater extent the vulnerability to partial volume contamination due to focal lesions.
2.^One possible situation where loss of crossing fibers may explain increased λ1 was a study that examined the neural substrate of topographical memory impairment in AD (Pengas et al.,
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Summary
Keywords
neurodegenerative diseases, Alzheimer's disease neurobiology, axonal loss, circuit of Papez, long association tracts, splenium, DTI criteria, Alzheimer's disease biomarkers
Citation
Acosta-Cabronero J and Nestor PJ (2014) Diffusion tensor imaging in Alzheimer's disease: insights into the limbic-diencephalic network and methodological considerations. Front. Aging Neurosci. 6:266. doi: 10.3389/fnagi.2014.00266
Received
10 August 2014
Accepted
15 September 2014
Published
02 October 2014
Volume
6 - 2014
Edited by
Kenichi Oishi, Johns Hopkins University, USA
Reviewed by
Marco Bozzali, Fondazione Santa Lucia, Italy; Paul Gerson Unschuld, University of Zürich, Switzerland
Copyright
© 2014 Acosta-Cabronero and Nestor.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Julio Acosta-Cabronero, Deutsches Zentrum für Neurodegenerative Erkrankungen (DZNE), Universitätsklinikum Magdeburg, Leipziger Strasse 44, Haus 64, 39120 Magdeburg, Deutschland e-mail: julio.acosta@dzne.de
This article was submitted to the journal Frontiers in Aging Neuroscience.
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