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Anatomical properties of the arcuate fasciculus predict phonological and reading skills in children

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In a sample of 55 children, it is found that measurements of diffusivity in the left arcuate correlate with phonological awareness skills and arcuate volume lateralization correlates with phonology memory and reading skills.
Abstract
For more than a century, neurologists have hypothesized that the arcuate fasciculus carries signals that are essential for language function; however, the relevance of the pathway for particular behaviors is highly controversial. The primary objective of this study was to use diffusion tensor imaging to examine the relationship between individual variation in the microstructural properties of arcuate fibers and behavioral measures of language and reading skills. A second objective was to use novel fiber-tracking methods to reassess estimates of arcuate lateralization. In a sample of 55 children, we found that measurements of diffusivity in the left arcuate correlate with phonological awareness skills and arcuate volume lateralization correlates with phonological memory and reading skills. Contrary to previous investigations that report the absence of the right arcuate in some subjects, we demonstrate that new techniques can identify the pathway in every individual. Our results provide empirical support for the role of the arcuate fasciculus in the development of reading skills.

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Anatomical Properties of the Arcuate Fasciculus Predict
Phonological and Reading Skills in Children
Jason D. Yeatman
1
, Robert F. Dougherty
1
, Elena Rykhlevskaia
1
,
Anthony J. Sherbondy
1
, Gayle K. Deutsch
1
, Brian A. Wandell
1
,
and Michal Ben-Shachar
2
Abstract
For more than a century, neurologists have hypothesized
that the arcuate fasciculus carries signals that are essential for
language function; however, the relevance of the pathway for
particular behaviors is highly controversial. The primary objec-
tive of this study was to use diffusion tensor imaging to examine
the relationship between individual variation in the microstruc-
tural properties of arcuate fibers and behavioral measures of
language and reading skills. A second objective was to use novel
fiber-tracking methods to reassess estimates of arcuate laterali-
zation. In a sample of 55 children, we found that measurements
of diffusivity in the left arcuate correlate with phonological
awareness s kills and arcuate volume lateralization correlates
with phonological memory and reading skills. Contrary to pre-
vious investigations that report the absence of the right arcuate
in some subjects, we demonstrate that new techniques can
identify the pathway in every individual. Our results provide
empirical suppo rt for the role of the arcuate fascicul us in the
development of reading skills.
INTRODUCTION
In his seminal m edical diss ertation, Carl Wernicke pro-
posed the first network model of language processing
in the brain (Wernicke, 1874). His view of cortical com-
putations portrayed the brain as a mosaic of sensory and
motor representations, where new functions arise from
novel interactions among these regions. Wernicke ob-
served that lesions in the left posterior superior temporal
cortex (Wernickeʼs area) produced a deficit in the ability
to process speech input. Recognizing that lesions in left
posterior inferior frontal cortex (Brocaʼs area) create a
deficit in the ability to produce speech, he later proposed
that th e arcuate fasciculus (AF) is essential for commu-
nicating phonological and motor information between
these two language regions. Wernicke, therefore, hypoth-
esized that a lesion to fronto-temporal white matter con-
nections should produce impaired speech repetition with
relatively spared speech production and comprehension,
a syndrome later confirmed and termed conduction apha-
sia (Catani & Mesulam, 2008; Catani & Ffytche, 2005;
Lichtheim, 1885).
Wernickeʼs model was later a dopted by G eschwind,
who advocated the disconnection hypothesis: Deficits
in high-order cognitive functioning are the result of le-
sions that interrupt the communication between sensory
and motor regions. Geschwind presented a series of neuro-
logical cases that supported Wernickeʼs hypothesis, con-
firming the relationship between an arcuate lesion and
conduction aphasia (Geschwind, 1965a, 1965b, 1970) The
WernickeGeschwind hypothesis was further supported
by Damasio and Damasio (1980) based on computed to-
mography measures of six patients with impaired speech
repetition, who showed consistent damage to the insula
and posterior superior temporal gyrus (STG) as well as
the underlying white matter, which is assumed to include
the AF.
The functional role of the AF and the specific func-
tional and anatomical deficits characteristic of conduction
aphasia have been subject to much controversy. In par-
ticular, recent diffusion tensor imaging (DTI) studies and
case reports show that arcuate lesions do not necessarily
result in conduction aphasia (Bernal & Ardila, 2009;
Rauschecker et al., 2009). These studies challenge the
hypothesis that signals essential for repeating the sounds
of speech are uniquely carried by the AF.
What are the implications of these changing perspec-
tives regarding the functional role of the AF in the healthy
brain? Altho ugh the findings from conduction aphasia
show that the AF may not be the unique pathway for
speech repetition, its anatomy and neurological history
suggest that it is likely to be one of a set of pathways that
the brain uses for phonological processing. This view is
expressed in recent models of language processing. For
example, Hickok and Poeppel propose that the AF maps
acoustic features of speech to articulatory motor represen-
tations, and they propose that the signals carried within
the AF are used for the manipulation and articulation of
1
Stanford University,
2
Bar Ilan University, Ramat Gan, Israel
© 2011 Massachusetts Institute of Technology Journal of Cognitive Neuroscience 23:11, pp. 33043317

incoming phonological information (Hickok & Poeppel,
2004, 2007). Thi s view is supported by studies that im-
plicate AF signals for reactivating phonological material
in verbal working memory (Friedm ann & Gvion, 2003)
and short-term storage and verbal repetition of speech
(Glas ser & Rillin g, 2008; Ri lling et al., 2008; Saur et al.,
2008; Catani & Ffytche, 2005). These theoretical models
of AF function are based on behavioral deficits in con-
duction ap hasics and the f unctio nal role of the cortical
regions connected by the arcuate. However, there is very
little research on the relationship between variance in AF
anatomy in healthy subjects and variance of the particular
skills that are hypothesized to depend on the signals car-
ried by AF axons.
Beyond models of language processing, models of read-
ing have recently featured the AF. Whole-brain voxel-based
group analysis of white matter diffusion properties found a
group difference between adult good and poo r readers
and a cor relation between white matter m icrostructure
and reading skills, located in the vicinity of the AF (Supple-
mentary Figure 1; Klingberg et al., 2000). The existence of
a microstructural white matter difference between good
and poor readers has been independently replicated in
children by several laboratories (Niogi & McCandliss, 2006;
Beaulieu et al., 2005; Deutsch et al., 2005). Although the
reading-related differences are located medial to the AF
and not in the AF itse lf, t he findings may still be inter-
preted as stemming from interdigitating, medial AF fibers
(Ben-Shachar et al., 2007; Beaulieu et al., 2005). If this
is true, it is possible that the AF contributes to reading
based on its role in phonological processing, because pho-
nological skills are an essential factor in reading devel-
opment (Wagner & Torgesen, 1987).
Most of these studies applied whole-brain voxel-based
methods, searching for group differences and correlations
between DTI measures and reading skill. Whole-brain
methods are valuable in the absence of a specific hypoth-
esis, but they lack anatomical specificity, because the same
voxel in a normalized brain may map to different tracts
across individuals. A further limitation of whole-brain
methods is reduced statistical power because of the large
number of statistical comparisons. Hence, whole-brain
methods are not optimal for testing specific anat omical
hypotheses.
Here, we capitalize on recent advances in fiber tracking
methods to identify the AF as an ROI in individual sub-
jects. We then test the specific hypothesis that the diffu-
sion measures within this tract covary with standardized
measures of phonological memory, phonological aware-
ness, and reading skills. We further explore how laterality
of the tract relates to behavior and how the subjectʼssex
modulates these effects t o follow up on recent reports
(Lebel & Beaulieu, 2009; Catani et al., 2007; Lenroot et al.,
2007). Our results provide empirical support for the hy-
pothesis that the AF is part of the reading circuitry and
that maturation of the arcuate is important for the devel-
opment of reading-related skills.
METHODS
Subjects
Fifty-five children aged 711 years participated in this study.
The data analyzed here represent the first measurement
in a longitudinal study of reading development. Partici-
pants were physically healthy and had no history of neuro-
logical disease, head injury, attention deficit/hyperactivity
disorder, language disability, or psychiatric disorder. Screen-
ing for attention deficit/hyperactivity disorder was based
on the childʼshistoryandontheConnersʼ Parent Rating
Scale (Revised Short Form), which confirmed that all sub-
jects scored in the normal range (<65). All participants
were native English speakers and had normal or corrected-
to-normal vision and normal hearing. The Stanford Panel
on Human Subjects in Medical and Nonmedical Research
approved all procedures. Written informed consent/assent
was obtained from all parents and children.
Behavioral Testing
Participants completed a 4-hr battery of cognitive tests to
characterize their reading skills, phonological awareness,
rapid naming, and general intelligence. Descriptive statistics
on this sample have been previously reported (Dougherty
et al., 2007). On the basis of our specific hypotheses regard-
ing the AFʼs role in phonology and reading, we included
the following three age-standardized behavioral measures
in this study:
(a) Phonological Memory: The phonological memory
composite score m easures an individualʼs ability to
code information phonologically for temporary storage
in working memory. This score is composed of two
subtests: digit span and nonword repetition (Wagner,
Torgesen, & Rashotte, 1999).
(b) Phonological Awareness: The p honological aware-
ness composite score measures an individualʼs ability
to parse the word into syllables and phonemes and
manipulate these phonemes to make up new words.
The score is composed of two subtests that measure
the ability to segment and blend phonemes (elision
and blending; Wagner et al., 1999).
(c) Basic Reading: The basic reading composite score
assesses a childʼs accuracy at reading single words
and pseudowords. It is composed of two subtests:
word identification, which measures accuracy in read-
ing aloud a list of words (untimed), and word attack,
which measures accuracy in reading aloud a list of
pseudowords (untimed; Woodcock, McGrew, & Mather,
2001).
DTI
MRI data were acquired on a 1.5-T Signa LX scanner (Signa
CVi; GE Medical Systems, Milwaukee, WI) using a self-
shielded, high-performance gradient system. A standard
Yeatman et al. 3305

quadrature head coil, provided by the vendor, was used
for excitation and signal reception. Head motion was mini-
mized by placing cushions around the head and securing
a strap across the forehead.
Data Acquisition
The DTI protocol used eight repetitions of a 90-sec whole-
brain scan. The scans were averaged to improve signal
quality. The pulse sequence was a diffusion-weighted single-
shot spin-echo EPI sequence (echo time [TE] = 63 msec;
repetition time [TR] = 6 sec; field of view [FOV] = 260 mm;
matrix size = 128 × 128; bandwidth = ±110 kHz; partial
k-space acquisition). We acquired 60 axial, 2-mm-thick slices
(no skip) for two b values, b =0andb = 800 sec/mm
2
.The
high b-value data were obtained by applying gradients
along 12 diffusion directions (six noncollinear directions).
Two gradient axes were energized simultaneously to
minim ize TE, and the polarity of the effective diffusion-
weighting gradients was reversed for odd repetitions to
reduce cross-terms between diffusion gradients and imaging
and background gradients. Although Jones (2004) suggests
that measuring more diffusion directions might be more
efficient at reliably estimating diffusion tensors of arbitrary
orientation, our signal-to-noise ratio is sufficiently high from
our eight repeats to produce very reliable tensor estimates.
We have confirmed this in a subset of subjects by comparing
bootstrapped tensor uncertainty estimates from 40 direc-
tion data with the 12 directi on data reported here. With
our high signal-to-noise ratio (SNR), tensor uncertainty
is limited by physiological noise rather than measurement
noise.
We also collected high-resolution T1-weighted anatomi-
cal images for each subjec t using an 8-min sagittal 3-D
spoiled gradient recall (SPGR) sequence (voxel size = 1 ×
1 × 1 mm). T he following anatomical landmarks were
defined manually in the T1 images: the anterior commis-
sure (AC), the posterior commissure (PC), and the mid-
sagittal plane. With these landmarks, we used a rigid
body transform to convert the T1-weighted images to the
conventional ACPC aligned space.
Data Preprocessing
Eddy current distortions and subject motion in the diffusion-
weighted images were r emoved by a 14-parameter con-
strained nonlinear coregistration ba sed on the expected
pattern of eddy current distortions given the phase encode
direction of the acquired data (Rohde, Barnett, Basser,
Marenco, & Pierpaoli, 2004).
Each diffusion-weighted image w as registered to the
mean of the (motion-correcte d) non-diffusion-weighted
(b = 0) images using a two-stage coarse-to-fine approach
that maximized the normalized mutual information. The
mean of the non-diffusion-weighted images was automat-
ically aligned to the T1 image using a rigid body mutual
information algorithm. All raw images from the diffusion
sequencewereresampledto2-mmisotropicvoxelsby
combining motion co rrection, ed dy current correction,
and anatomi cal alignment transforms into one omnibus
transform and resampling the data using trilinear interpo-
lation based on code from SPM5 (Friston & Ashburner,
2004).
An eddy cu rrent intensity correction (Rohde et al.,
2004) was applied to the diffusion-weighted images at
the resampling stage.
The rotation component of the omnibus coordinate
transform was applied to the diffusion-weighting gradient
directions to preserve their orientation with respect to
the resampled diffusion images. The ten sors were then
fit using a robust least squares algorithm designed to re-
move outliers from the tensor estimation step (Chang,
Jones, & Pierpaoli, 2005). We computed the eigenvalue
decomposition of the diffusion tensor, and the resulting
eigenvalues were used to compute for fractional anisot-
ropy (FA; Basser & Pierpao li, 1996). The FA is th e nor-
malized standard deviation of the three eigenvalues and
indicates the degree to which the isodiffusion ellipsoid is
anisotropic (i.e., one or two eigenvalues are larger than
the mean of all three eigenvalues). The mean diffusivity
is the mean of the three eigenvalues, which is equivalent
to one third of the trace of the diffusion tensor.
We confirmed that the DTI and T1 images were aligned
to within a few millimeters in the ROIs for this study. This
confirmation was done by manual inspection by one of the
authors (R.F.D. ). In regions prone to susceptibility arti-
facts, such as orbito-frontal and inferior temporal regions,
the misalignment was somewhat larger because of uncor-
rected EPI distortions.
All the custom image processing software is available
as part of our open-source mrDiffusion package (revision
2289) available for download from vistalab.stanford.edu/
vistawiki/index.php/Software.
Fiber Tract Identification
To test the primary hypothesis, we manually identified the
left AF for each individual. We developed three alternative
methods to test the robustness and specificity of the re-
sults. First, we used an automated tract identification pro-
cedure to identify the arcuate. The main results were
evaluated on the tracts identified by the manual and auto-
mated procedures. Second, we identified control tracts in-
cluding the left superior longitudinal fasciculus (SLF), left
corona radiata, and right AF to confirm the specificity of
effects in the left AF. Third, we developed a tract align-
ment procedure to coregister anatomically equivalent por-
tions of the left AF and reduce confounds caused by
crossing fibers, tract curvature, and partial voluming with
neighboring structures. These three procedures are de-
scribed in detail in the Supplementary Material.
Figure 1 shows the three main steps of the manual AF
segmentation procedure: tracking, restricting by a coarse
ROI, and manual editing.
3306 Journal of Cognitive Neuroscience Volume 23, Number 11

Tracking. We manually identified the left AF in each
individual based on a DTI atlas of hum an white matter
(Mori, Wakana, van Zijl, & Nagae-Poetscher, 2005). We
seeded the tracking algorithm with a mask of all left hemi-
sphere voxels with an FA value of greater than 0.2 (Basser,
Pajevic, Pierpaoli, Duda, & Aldroubi, 2000; Mori, Crain,
Chacko, & van Zijl, 1999). Fiber tracts were estimated us-
ing a deterministic streamlines tracking algorithm (Basser
et al., 2000; Mori et al., 1999) with a fourth-order Runge
Kutta path integration method and 1-mm fixed-step size. A
continuous tensor field was estimated with trilinear inter-
polation of the tensor elements. Starting from initial seed
points within the white matter mask, the path integration
procedure traced streamlines in both directions along the
principal diffusion axes. Individual streamline integration
was terminated u sing two standard criteria: tracking is
halted if (1) the FA estimated at the current position is be-
low 0.15 or (2) the minimum angle between the last path
segment and next step direction is >50°.
Restricting by a coarse ROI. The ROI was defined based
on red green blue (RGB) map that color codes the prin-
cipal d iffusion direction (PDD) within each voxel: red
for leftright, green for anteriorposterior, and blue for
superiorinferior. On each subjectʼs RGB map, we manu-
ally defined an ROI that encompassed all green voxels lat-
eral to the internal capsule, between MNI plane z =20
and z = 30 (Catani, Jones, & Ffytche, 2005; Figure 1A).
This ROI was defined liberally, making sure to include all
possible arcuate voxels and allowing voxels from neighbor-
ing tracts as well. The left hemisphere fiber group was lim-
ited to those fibers that intersected the ROI.
Manual editing. We manually sel ected fiber s that (1)
turned inferior at the temporal parietal junction and en-
tered the temporal lobe and (2) continued anterior at the
central sulcus and entered the frontal lobe (Figure 1C).
We eliminated fibers that (1) headed ventrally toward
the insula, (2) turned medially toward the corpus callo-
sum or medial frontal cortex, or (3) turned superiorly
for the middle and superior frontal gyri. This procedure
was implemented using a gesture-based interface (Akers,
2006). Th e procedure identified all the left hemisphere
fibers that projected from the temporal lobe dorsally over
the Sylvian fissure to the inferior frontal and precentral
gyri, corresponding to the AF (Figure 1D).
Calculating fiber tract summary measures.Weex-
tracted the three tensor eigenvalues at each point along
each fiber. From these, we calculated FA, mean diffusiv-
ity, radial diffusivity (RD), and axial diffu sivity (AD) and
averaged each measure along the entire tract. This method
effectively computed a weighted-average because voxels
with greater fiber density contributed more to the final
measure than voxels with low fiber density. This weighting
reduced the effects of partial voluming, because the fiber
density is related to the likelihood that a voxel is filled with
arcuate fibers.
We tested correlations between FA in the left arcuate
and phonological memory, phonological awareness, and
basic reading skills. For significant FA correlations, we ex-
amined RD (the mean of the second and third eigenvalues)
and AD (the first eigenvalue) to determine which aspect of
the diffusion characteristics best predicted behavior.
Arcuate Volume Estimation
We estimated the volume of the arcuate in two ways to
ensure that significant findings reflect meaningful biologi-
cal variation and are not dependent on our specific proce-
dure. First, we obtained a volume estimate as a weighted
sum of the number of voxels containing arcuate fib ers.
Each voxelʼ s c ontribution to the volume estimate was
weighted by the ratio of arcuate fibers in the voxel com-
pared with fibers from adjacent tracts in the voxel. This
method reduces potential bias introduced by partial vol-
uming with neighboring tracts, such as the frontal-parietal
SLF. Second, we used the common method of simply
Figure 1. Method of identifying the AF in a single subject. Whole-brain streamlines tracing technique (STT) tractography produced a large collection
of estimated tracks (not shown). An ROI in the white matter was drawn comprising the voxels with an anteriorposterior (green) PDD that are
located adjacent and lateral to the cortical spinal tract. The cortical spinal tract can be identified because its PDD is in the inferiorsuperior (blue)
direction. (A) The PDD at each voxel in a typical axial slice (Z = 26). The white outline shows the region selected in this slice. The ROI is large
so that all of the AF fibers will be included. (B) The complete ROI for this subject, which is selected from several adjacent planes. (C) Estimated
fiber tracks passing through the ROI. We identify the AF fibers from the group by selecting the fibers that (1) project anterior to the central sulcus and
(2) continue posterior and inferior into the temporal lobe (red lines). These waypoints were manually identified for each subject in an interactive
fiber tract viewing and segmentation tool available for download at vistalab.stanford.edu/software. (D) The estimated left AF for this subject.
Yeatman et al. 3307

counting the estimated streamlines in each hemisphereʼs
tract (Lebel & Beaulieu, 2009; Catani et al., 2007).
In some subjects, deterministic tractography fails to
identify the right AF. This might imply that the right AF
is absent (Lebel & Beaulieu, 2009; Catani et al., 2007), or
alternatively, it might be explained by limitations of the
deterministic algorithm in regions of crossing fibers (Wahl
et al., 2010). For example, partial voluming between the
right AF and branching SLF fibers could send deterministic
tracking algorithms in the wrong direction. We used a new
algorithm that combines probabilistic methods and quan-
titative predictions of the diffusion data to test the hypoth-
esis that the right AF is missing (Sherbondy, Matthew, &
Alexander, 2010; Sherbondy, Dougherty, Ananthanarayanan,
Modha, & Wandell, 2009; Sherbondy, Dougherty, Ben-
Shachar, Napel, & Wandell, 2008). The new method iden-
tifies the most likely candidate streamlines by evalu ating
the agreement between the pathway and the diffusion mea-
surements. See Supplementary Method for more details.
RESULTS
The Left AF Tracts and Their Cortical
Projection Zones
Figure 2 shows the distribution of AF cortical endpoints.
For each subject, the endpoints were transformed into a
common coordinate frame, and we calculated the num-
ber of subjects with fiber endpoints within 3 mm of each
vertex on the cortical surface. Thus, the color overlay rep-
resents the likelihood, across subjects, of AF termination
point at each cortical location.
The frontal lobe projection zone of AF fibers is fairly com-
pact, falling mainly in the premotor cortex and Brodmannʼs
area 44. The temporal lobe projection zone differs widely
between subjects. Many subjects have AF branching fibers
across the superior, middle, and inferior temporal gyri,
whereas others have compact AF terminations in the pos-
terior tempor al lobe. The arcuate is a complex tract that
contains contributions from a wide array of cortical re-
gions, and the microstructure properties estimated within
the core of the arcuate probably contain contributions
from axons originating in a large part of cortex.
AF Diffusion Measurements Correlate with
Phonological Awareness
Averaged across the entire left AF, FA is negatively corre-
lated with phonological awareness (r = .33, p =.01;
Figure 3A). This correlation arises because children with
better phonological abilities have greater RD (r = . 30,
p =.02)thanchildrenwithpoorphonologicalabilities
(Figure 3B), but AD (r = .02, p = .88) is independent
of phonological ability (Figure 3C). The magnitude of the
correlation is the same for men and women, and it is also
the same for younger (79 years) and older children (10
11 years). Furthermore, the correlation remains significant
after covarying for age. The principal correlation we ob-
serve is between RD and reading skills, and we examine
the finding in a number of different ways.
First, we considered whether a lternative methods of
identifying the AF might change the result. We identified
the AF using an automated procedure to remove any pos-
sible experimenter biases (see Methods). The AF identi-
fied using this method was similar. The FA (r = .85), RD
(r = .95), and AD values (r = .82) esti mated using the
two segmentation methods were highly correlated but
not identical. Even so, the FA and RD of the automatically
segmented tracts was significantly correlated with phono-
logical awareness scores (r =.3,p = .03). Hence, the
Figure 2. Cortical endpoints
of the left AF in 55 children.
Manually identified left AF fiber
groups for three representative
children are shown on the
left. The frontal lobe endpoints
are generally focused in
the precentral gyrus and
Brodmannʼs area 44 of the
inferior frontal gyrus, whereas
the temporal lobe endpoints
are spread over significantly
more surface area. The heat
map on the right shows the
number of subjects with left
AF endpoints at each region
of the cortex. Endpoints for
each subject were registered
onto the cortical surface of an
individual child.
3308 Journal of Cognitive Neuroscience Volume 23, Number 11

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The primary objective of this study was to use diffusion tensor imaging to examine the relationship between individual variation in the microstructural properties of arcuate fibers and behavioral measures of language and reading skills. Contrary to previous investigations that report the absence of the right arcuate in some subjects, the authors demonstrate that new techniques can identify the pathway in every individual.