Abstract
Normal cognitive development in infants follows a well‐known temporal sequence, which is assumed to be correlated with the structural maturation of underlying functional networks. Postmortem studies and, more recently, structural MR imaging studies have described qualitatively the heterogeneous spatiotemporal progression of white matter myelination. However, in vivo quantification of the maturation phases of fiber bundles is still lacking. We used noninvasive diffusion tensor MR imaging and tractography in twenty‐three 1–4‐month‐old healthy infants to quantify the early maturation of the main cerebral fascicles. A specific maturation model, based on the respective roles of different maturational processes on the diffusion phenomena, was designed to highlight asynchronous maturation across bundles by evaluating the time‐course of mean diffusivity and anisotropy changes over the considered developmental period. Using an original approach, a progression of maturation in four relative stages was determined in each tract by estimating the maturation state and speed, from the diffusion indices over the infants group compared with an adults group on one hand, and in each tract compared with the average over bundles on the other hand. Results were coherent with, and extended previous findings in 8 of 11 bundles, showing the anterior limb of the internal capsule and cingulum as the most immature, followed by the optic radiations, arcuate and inferior longitudinal fascicles, then the spinothalamic tract and fornix, and finally the corticospinal tract as the most mature bundle. Thus, this approach provides new quantitative landmarks for further noninvasive research on brain‐behavior relationships during normal and abnormal development. Hum Brain Mapp, 2008. © 2007 Wiley‐Liss, Inc.
Keywords: brain, development, fascicle, fibers, myelination, tractography, MRI
INTRODUCTION
Normal cognitive development in infants follows a well‐known temporal sequence, which is assumed to be correlated with the structural maturation of underlying brain functional networks. In white matter, myelin, the insulating lipid‐layers wrapped around axons by oligodendrocytes, is essential for fast impulse conduction. Although myelination is only one of the numerous cerebral maturational postnatal processes (among which dendritic growth and synaptic overproduction in grey matter, followed by synaptic pruning), it has been shown closely related to cognitive development during the human life span [Klingberg et al., 1999; Nagy et al., 2004; Paus et al., 1999; Pujol et al., 2006; Van der Knaap et al., 1991]. Animal studies have also demonstrated such close correlations in the midbrain and spinal cord [Langworthy, 1928a, b], and neuronal activity induced by external stimulations influences the myelination process and degree [Barres and Raff, 1993; Demerens et al., 1996; Gyllensten and Malmfors, 1963; Ishibashi et al., 2006; Tauber et al., 1980].
Years ago, postmortem studies have described the asynchronous spatiotemporal progression of white matter myelination in the human brain [Brody et al., 1987; Yakovlev and Lecours, 1967]. Myelination is a long sequential nonlinear process that runs from the last trimester of gestation to at least 20 years of age, with a peak in the first postnatal year, and that progresses in an infero‐superior and caudo‐rostral way, from central to peripheral regions. The maturation rate depends on fiber bundles: sensory pathways become myelinated before motor pathways, projection fibers before association fibers, and occipito‐parietal regions before temporo‐frontal regions [Kinney et al., 1988]. However, postmortem methods preclude underlining direct relationships between structural and functional networks maturations.
By contrast, noninvasive anatomical techniques combined with cognitive assessment may allow the study of brain‐behavior relationships and may be applied to the early detection of pathological development in comparison to normal landmarks. Structural magnetic resonance imaging (MRI) [Barkovich et al., 1988; Van der Knaap and Valk, 1990]; for reviews [Paus et al., 2001; Toga et al., 2006] has provided a way of studying qualitatively the biochemical modifications of the developing myelin, by showing a shortening of T1 in the “pre‐myelin” state (oligodendrocyte proliferation and maturation), followed by a shortening of T2 during the “true” myelination (fibers ensheathment by oligodendroglial processes). This technique has thus confirmed the postmortem findings in the living newborns and children. In addition, sophisticated computational methods have enabled innovative investigations on the anatomo‐functional correlations from childhood to adulthood [Nagy et al., 2004; Paus et al., 1999; Pujol et al., 2006; Sowell et al., 2002, 2004], but these methods are not well suited to the quantitative assessment of individuals.
Besides, diffusion tensor imaging (DTI) [for review, Le Bihan et al., 2001] has proved particularly sensitive to depict the early bundles spatial organization in newborns and infants, and explore the white matter maturation by monitoring diffusion indices that change with brain water content and myelination [Huppi et al., 1998a; Neil et al., 1998; Mukherjee et al., 2001; Partridge et al., 2004; Berman et al., 2005; Hermoye et al., 2006; Huang et al., 2006; for review Neil et al., 2002]. Recently, we have adapted a DTI fiber tractography method [for review Mori and van Zijl, 2002] to the low myelination state of infants brains, and settled an analysis of individual tracts, allowing us to demonstrate that the main bundles described in adults are already in place in the first postnatal months and providing a reliable way to study normal maturation [Dubois et al., 2006].
In the present study, our aim was to quantify the spatiotemporal sequence of DTI‐tracked white matter bundles maturation in healthy infants, from 1 to 4 months of age. We designed a specific model based on the complementary information provided by diffusion indices on the respective roles of biological processes involved in white matter maturation. We then considered several commissural, projection, and associative fibers [Dubois et al. 2006], which underlie different functional systems and are known to myelinate at different time periods. Using mean diffusivity and anisotropy, the global bundles maturation was assessed by a progression in four relative stages, which took into account both the maturation state and speed of each bundle as a whole, in comparison with the average over all bundles and according to age. The modeled spatiotemporal sequence of maturation was in good agreement with, and extended postmortem and structural imaging findings. This simple approach shows promises for the quantitative study of brain‐behavior relationships in normal infants, and for the early diagnostic of white matter developmental pathologies.
Working Hypotheses on the Relationships Between Maturational Processes and Diffusion Indices in the White Matter
Various indices have been shown to provide relevant information on white matter maturation [Mukherjee et al., 2002; Partridge et al., 2004]. In this study, we focused on four of them:
mean diffusivity:
longitudinal diffusivity (along the tensor ellipsoid main axis): λ// = λ⟂
transverse diffusivity (perpendicular to this axis):
fractional anisotropy:
with the three diffusion tensor eigenvalues noted λi (i = 1, 2, 3; λ1 ≥ λ2 ≥ λ3).
For the sake of simplicity, we considered three main processes that are assumed to crucially influence the diffusion indices changes during white matter development [Fig. 1, for reviews, Beaulieu et al., 2002; Neil et al., 2002].
First, progressive fibers organization in fascicles is likely to leave water content, membranes density and thus mean diffusivity relatively unchanged, but it may lead to an increase in anisotropy, due to increased longitudinal diffusivity and decreased transverse diffusivity (Fig. 1a), as opposed to the changes described during Wallerian degeneration [Beaulieu et al., 1996]. Progressive fibers organization is probably responsible for the anisotropy increase observed previously in unmyelinated white matter tracts of rat and rabbit pups [Drobyshevsky et al., 2005; Wimberger et al., 1995]. However, in humans, most fascicles seem to be organized during late intrauterine life [Kostovic and Jovanov‐Milosevic, 2006] as fibers are to grow with the previously formed axons as guidance. Indeed, high anisotropy is already observed in poorly myelinated fascicles of premature newborns, such as the corpus callosum [Huppi et al., 1998a; Partridge et al., 2004], and the patterns of fibers tracts were found already in place in infants in our previous study, with no differences between 5 and 17 weeks [Dubois et al., 2006]. Consequently, this process was thought unlikely to contribute significantly to the expected diffusion changes over this developmental period, and, as a first approach, it was not considered further.
Second, the proliferation and functional maturation of glial cell bodies and prolongations (pre‐ and immature oligodendroglial cells and their processes, etc.) and intracellular compartments (cytoskeleton, etc.) are linked to a decrease in brain water content and an increase in membranes density, implying a decrease in mean diffusivity [for review Neil et al., 2002]. The first stage of myelination (“pre‐myelination”) is characterized by the proliferation of oligodendrocytes lineage precursors, with a decrease in water content [Prayer et al., 2001; Wimberger et al., 1995]. As this early process is rather isotropic [Baumann and Pham‐Dinh, 2001], it should lead to a decrease in the three diffusivity indices, without significant change in anisotropy (Fig. 1b). Besides, both the intracellular compartments, such as neurofilaments and microtubules, and the active axonal transport do not influence anisotropy measurements [Beaulieu and Allen, 1994].
Third, the last phase of “true” fibers myelination, corresponding to the ensheathment of oligodendroglial processes around the axons [Van der Knaap and Valk, 1995], is accompanied by a further decrease in both membranes permeability and extracellular distance between membranes in the orthogonal direction to the fibers [for review Beaulieu, 2002]. Because of unchanged longitudinal diffusivity contrasting with decreased transverse diffusivity [Gulani et al., 2001; Song et al., 2002], the anisotropy should increase while the mean diffusivity should decrease (Fig. 1c).
In summary, we hypothesized the two last processes being mainly responsible for most diffusion changes related to white matter maturation over the postnatal developmental period considered in this study (this might not be the case in younger premature newborns). Although these assumptions on indices changes might seem rather reductive in comparison with the complexity of water diffusion biophysical mechanisms in developing cerebral tissues, we thus expected that two successive steps would be observed in DTI:
first, proliferation of “membranes” (“pre‐myelination” stage), with a decrease in 〈D〉, λ// and λ⟂, and without change in FA.
second, proliferation of “membranes” and “true” fibers myelination, with both a decrease in 〈D〉, λ// and λ⟂ and an increase in FA.
Consequently, we expected changes in the diffusivity indices to appear earlier than anisotropy changes in our data sets, which would provide a new and precise quantitative indicator of white matter maturation phase in infants.
MATERIALS AND METHODS
Subjects
Twenty‐three healthy infants (12 boys, 11 girls) born at term (mean maturational age, i.e. corrected by gestational age at birth: 10.3 ± 3.8 weeks, range: 3.9–18.4 weeks, developmental period: 14.5 week) were included in this study after their parents gave written informed consent. Eighteen of them were included in our previous study [Dubois et al., 2006]. No sedation was used and the infants were spontaneously asleep during MR imaging. Particular precautions were taken to minimize noise exposure, by using customized headphones and covering the magnet tunnel with special noise protection foam. Six adults were also scanned (mean age: 25.6 ± 1.4 years). The study was approved by a regional ethical committee for biomedical research.
A summary of data acquisition and postprocessing is provided here as methodological issues were detailed previously [Dubois et al., 2006].
Data Acquisition
The acquisition was performed on a 1.5T MRI system (Signa LX, GEMS, USA), using a birdcage head coil. A diffusion‐weighted (DW) spin‐echo echo‐planar technique was implemented, with a 700 s mm−2 b factor (TE/TR = 89.6 ms/13.8 s). A reproducible signal‐to‐noise ratio (32 ± 3.3) was obtained among infants by using 14–30 diffusion gradient encoding orientations [Dubois et al., 2006]. Thirty interleaved axial slices covering the whole brain were imaged, with a spatial resolution interpolated to 0.94 × 0.94 × 2.5 mm3 at reconstruction. In adults, slice thickness was increased to 3.5 mm, and three repetitions were performed to obtain equivalent signal‐to‐noise ratio. Besides, conventional MR images were acquired in infants with a T2‐weighted fast spin‐echo sequence (TE/TR = 120/5500 ms, spatial resolution = 1.04 × 1.04 × 2 mm3), and in adults with 3D T1‐weighted spoiled gradient‐echo recovery sequence (TE/TI/TR = 2.1/600/10.4 ms, spatial resolution = 0.86 × 0.86 × 1.2 mm3).
Data Postprocessing
Data processing was performed using Anatomist [Riviere et al., 2000, http://anatomist.info] and BrainVISA softwares [Cointepas et al., 2003, http://brainvisa.info/].
Image preparation
First, the DW images were corrected for the geometric distortions due to eddy currents [Mangin et al., 2002], and images were realigned in the plane of anterior/posterior commissures. Second, the diffusion tensor was estimated on a pixel‐by‐pixel basis and diagonalized. Maps of mean (〈D〉), longitudinal (λ//), and transverse (λ⟂) diffusivities, and of fractional anisotropy (FA) were calculated.
Bundles tractography
For each infant, white matter fiber bundles were tracked in 3D using regularized particle trajectories: each particle follows locally the direction of highest diffusion, except in low anisotropy voxels resulting from fiber crossing, where the particle inertia leads to low curvature trajectory [Perrin et al., 2005]. This strategy, similar to diffusion tensor deflection [Lazar et al., 2003], overcomes simple crossing configurations, and has been validated with a phantom made up of haemodialysis fibers [Perrin et al., 2005]. It is thus particularly adapted to reconstruct the infants' immature bundles despite their low anisotropy.
Tractography “seeds” were positioned on each bundle identified on the color‐coded directionality maps [Dubois et al., 2006], and twenty departure points were considered in each seed voxel. The propagation mask excluded voxels with a fractional anisotropy lower than 0.15, or a mean diffusivity higher than 2.10−3 mm2 s−1, which may belong to either grey matter or corticospinal fluid (CSF). The maximum curvature angle was adjusted for each bundle (15–45°), by optimizing the tract reconstruction over the infants group. The tracked fibers were selected and classified according to the regions they run through [Catani et al., 2002; Huang et al., 2004]. For infants, the bundles trajectories were assumed with a priori knowledge on the adult bundles organization [Dubois et al., 2006 for more details].
Eleven bundles were considered in the analysis (Fig. 2)
Commissural fibers: corpus callosum (genu and splenium) (cc, ccg, ccs).
Projection fibers: spino‐thalamic tract (stt), cortico‐spinal tract (cst, above the cerebral peduncles), anterior limb of the internal capsule (alic), and optic radiations (or).
Association fibers: external capsule (ec), arcuate (af), inferior longitudinal (ilf), and uncinate (unc) fascicles.
Limbic fibers: cingulum (cg) and fornix (fx).
Figure 2.
Sections of the tracked bundles used for the quantification of diffusion indices. Abbreviations used: af, arcuate fasciculus; alic, anterior limb of the internal capsule; ccg and ccs, corpus callosum genu and splenium; cg, cingulum; cst, cortico‐spinal tract; ec, external capsule; fx, fornix; ilf, inferior longitudinal fasciculus or optic radiations; stt, spino‐thalamic tract; unc, uncinate fasciculus.
Diffusion indices quantification
For the four indices (〈D〉, λ//, λ⟂, FA), mean values were computed over the whole sections of the tracked bundles, which were reproducibly segmented across infants [Dubois et al., 2006; Glenn et al., 2003; Fig. 2]. In addition, the average of each index over all tracked bundles (aver) was calculated in order to characterize the white matter globally.
Quantification of White Matter Bundles Maturation
Relative maturation state, speed, and stage were then defined in each bundle to evaluate the differential maturation across bundles over the considered developmental period. As the three diffusivity indices (〈D〉, λ//, λ⟂) provided redundant information in term of stages, we focused our study on both mean diffusivity (〈D〉) and fractional anisotropy (FA).
Maturation state
We computed the median value of each index X (X = 〈D〉 or FA), over both the baby (bb) and adult (ad) groups, in each bundle (noted b) and in the average over all bundles (aver), as the indices distributions were homogeneous over the subjects group. The medians over infants were normalized by the medians over adults in order to highlight the age‐related maturation effects by taking into account the geometry‐based effects. To define the relative maturation state of each bundle, the normalized median in each bundle was then compared to the normalized median of the average over all bundles.
Consequently, the maturation state was defined as
where M is the median of X over the group Y (Y is bb, the babies, or ad, the adults), so that two possible states were considered for each index: a fascicle may be in relative delay (state (b, X) < 0) or advance (state (b, X) > 0) of maturation compared with the average over all bundles.
The statistical significance of the gap between a bundle and the average over bundles (state (b, X) < 0 or > 0) was confirmed using a one‐sample t‐test across infants (P ≤ 0.05) for the nullity of the individual ratios
or
Maturation speed
The evolution of diffusion indices with age (corrected by gestational age at birth) was clearly linear for all bundles during this period and was assessed over the infants group by performing linear regressions. Statistically significant correlations were considered at a level of P ≤ 0.05 after correction for multiple comparisons with false discovery rate (FDR) approach. As for the maturation state, the modeled variation magnitude of each index (over the 14.5‐week developmental period) was normalized by the index median values over adults, and compared with the normalized variation of the average over bundles.
The maturation speed of the fascicle was thus computed as
where ΔX bb is the variation magnitude of the index X over the 14.5‐week developmental period, so that two maturation speeds were defined for each index: a bundle may mature either slowly (speed (b, X) < 0) or rapidly (speed (b, X) > 0), relatively to the average over bundles.
Maturation stage
Finally, we assumed that the bundles maturation progresses, relatively to the average over bundles, in four stages, which combine the two distinct maturation states and speeds. In order to guarantee the progression continuity, the stages were defined from the less to the more mature (Fig. 3a):
stage 1: the maturation state is in relative delay and the maturation speed is low
stage 2: the state is in relative delay and the speed is high
stage 3: the state is in relative advance and the speed is high
stage 4: the state is in relative advance and the speed is low.
The stages were computed independently for 〈D〉 and FA.
Figure 3.
Model of the progression of white matter maturation. (a) For <D> and FA, four maturation stages are defined according to maturation state and speed (top), and the maturation of a bundle is compared with the average over bundles (bottom). (b) The progression of white matter maturation is modeled in five consecutive phases, according to stages of <D> and FA.
Classification Model of White Matter Bundles Maturation
According to our working hypotheses on the relationships between maturational processes and diffusion indices, mean diffusivity changes should either occur earlier than anisotropy changes in bundles in intermediate stages, or alternatively be in equivalent stage in both the most immature and most mature bundles (see above). By combining the mean diffusivity and anisotropy stages, we thus modeled the progression of the white matter tracts maturation in five phases, from the less to the more mature one (Fig. 3b):
phase 1: the stages of 〈D〉 and FA are equal to 1
phase 2: the 〈D〉 stage is equal to 2 or 3, while the FA stage is equal to 1
phase 3: the 〈D〉 and FA stages are equal to 3 and 2 respectively
phase 4: the 〈D〉 stage is equal to 4, whereas the FA stage is equal to 2 or 3
phase 5: the stages of 〈D〉 and FA are equal to 4
RESULTS
Diffusion Indices Values and Age‐Related Variations in Infants
Figure 4 displays the estimated medians of the diffusion indices over the infant and adult groups, for all considered bundles. As previously reported [for review Neil et al., 2002], values of mean, longitudinal and transverse diffusivities were higher in infants than in adults, whereas anisotropy values were lower. The relative variation of fractional anisotropy among bundles was comparable in infants and adults (correlation coefficient between the groups equal to 0.79), strongly suggesting that the fibers organization in fascicles is globally similar despite incomplete maturation in infants. This observation validates our previous hypothesis for disregarding the impact of the fibers organization process on diffusion indices changes over the considered developmental period.
Figure 4.
Diffusion indices computed in each bundle and in the average over bundles. Medians over the babies (bb, black diamonds: age 10.3 ± 3.8 weeks) and adults (ad, gray triangles: age 25.6 ± 1.4 years) groups, with standard deviations (calculated after removing significant effects of age for infants) in plot bars, and indices, interpolated according to linear regression with age (for corrected P ≤ 0.1), for the younger infant (white rounds: age 3.9 weeks) and the older infant (white squares: age 18.4 weeks). See Figure 2 legend for the abbreviations significance (aver: average over all bundles).
Age‐related variations of the diffusion indices (decrease in diffusivities and increase in anisotropy) were observed over the infants group for most bundles (Table I, Fig. 5), except for the anisotropy in the corpus callosum, and for the longitudinal diffusivity in the corpus callosum, spino‐thalamic and cortico‐spinal tracts, anterior limb of the internal capsule and fornix.
Table I.
〈D〉 | λ// | λ⟂ | FA | |
---|---|---|---|---|
Corpus callosum | 0.014 (0.64, 0.003) | ns | 0.016 (0.55, 0.009) | ns |
Spino‐thalamic tract | 0.005 (0.51, 0.008) | ns | 0.009 (0.69, <0.001) | 0.007 (0.78, <0.001) |
Cortico‐spinal tract | 0.008 (0.67, 0.001) | ns | 0.010 (0.72, <0.001) | 0.005 (0.74, <0.001) |
Anterior limb of the internal capsule | 0.008 (0.64, 0.001) | ns | 0.010 (0.67, <0.001) | 0.004 (0.56, 0.006) |
Optic radiations | 0.016 (0.87, <0.001) | 0.016 (0.80, <0.001) | 0.016 (0.84, <0.001) | 0.004 (0.64, 0.002) |
External capsule | 0.011 (0.76, <0.001) | 0.008 (0.50, 0.023) | 0.013 (0.77, <0.001) | 0.005 (0.63, 0.002) |
Arcuate fasciculus | 0.014 (0.79, <0.001) | 0.015 (0.68, 0.003) | 0.014 (0.79, <0.001) | 0.003 (0.41, 0.050) |
Inferior longitudinal fasciculus | 0.013 (0.86, <0.001) | 0.013 (0.80, <0.001) | 0.013 (0.83, <0.001) | 0.003 (0.57, 0.007) |
Uncinate fasciculus | 0.012 (0.80, <0.001) | 0.011 (0.64, 0.003) | 0.013 (0.78, <0.001) | 0.004 (0.53, 0.005) |
Cingulum | 0.010 (0.67, 0.001) | 0.009 (0.59, 0.006) | 0.010 (0.66, 0.001) | 0.003 (0.46, 0.022) |
Fornix | 0.009 (0.67, 0.001) | ns | 0.010 (0.74, <0.001) | 0.004 (0.54, 0.007) |
Average over all bundles | 0.011 (0.85, <0.001) | 0.008 (0.72, 0.004) | 0.013 (0.86, <0.001) | 0.005 (0.80, <0.001) |
Values inside parentheses are correlation coefficient (R) and statistical significance in italic (P ≤ 0.05, ns: changes are not significant).
Figure 5.
Linear correlations between diffusion indices and age for examples of bundles (spino‐thalamic and cortico‐spinal tracts, optic radiations, inferior longitudinal fasciculus and cingulum; see Figure 2 legend for the abbreviations significance).
Bundles Maturation
These observations enabled us to classify the bundles along four consecutive relative stages of maturation for 〈D〉 and FA, through the evaluation of both maturation states and speeds (Fig. 6). All states were significantly different from 0. Both indices outlined the maturation asynchrony across bundles, but their respective results were different, sustaining our working hypotheses (advance of 〈D〉 stage compared with FA stage, or equivalence) in 8 bundles over 11. These eight tracts can thus be classified according to their maturation phases (Figs 6 and 7):
phase 1: the anterior limb of the internal capsule and the cingulum were the least mature bundles (〈D〉/FA stage: 1/1).
phase 2: the optic radiations, the inferior longitudinal and arcuate fascicles were relatively immature (〈D〉/FA stage: 2/1).
no bundle was found in phase 3.
phase 4: the spino‐thalamic tract and the fornix were more mature (〈D〉/FA stage: 4/2 and 3).
phase 5: the cortico‐spinal tract appeared as the most mature bundle at this age (〈D〉/FA stage: 4/4).
However, our model was not supported in three fascicles (corpus callosum, external capsule, and uncinate fasciculus) where we observed a delay of mean diffusivity compared with anisotropy.
Figure 6.
Relative maturation state (black diamonds), speed (gray dots), and stage (bottom line) of each bundle for mean diffusivity (left columns) and fractional anisotropy (right columns). For maturation states, 25 and 75% quartiles of the ratio were outlined in plot bars. The relative maturation phases, resulting from 〈D〉 and FA stages, are outlined. See Figure 2 legend for the abbreviations significance.
Figure 7.
Relative maturation phases of all reconstructed tracts (from Fig. 6; from blue to red: phases 1 to 5; in grey: tracts whose results are contradictory to the model). See Figure 2 legend for the abbreviations significance.
DISCUSSION
In this study, we described quantitatively the early differential spatiotemporal maturation of white matter bundles during the first months after birth using diffusion tensor imaging and tractography. By modeling the progression of diffusion indices changes along with white matter maturation processes, we observed that the cortico‐spinal tract appeared the most mature, followed by the spino‐thalamic tract and the fornix, then the optic radiations, the arcuate and inferior longitudinal fascicles, and least mature were the anterior limb of the internal capsule and the cingulum. However, our model was not supported by the results in three bundles (corpus callosum, external capsule, and uncinate fasciculus).
The tractography approach provided a more precise delineation of the considered bundles than the classic regions‐of‐interest approach for the estimation of the diffusion indices [Dubois et al., 2006; Glenn et al., 2003; Partridge et al., 2005]. Furthermore, it allowed us to study individual tracts, contrarily to the voxel‐based approach, which is not well suited to compare bundles maturation relatively to each other. Despite the low myelination of the infant's brain, we could successfully reconstruct major less‐studied bundles, like the arcuate fasciculus, cingulum and fornix, and describe their maturation stages. Even though the maturation of each bundle is not spatially homogeneous [Berman et al., 2005], each tract was considered as a whole, as our aim was to compare the maturation of bundles underlying different functional systems, and not to compare the maturation of different bundles regions as described by most postmortem studies. At this point, we should remind the reader that the proposed definition of the maturation stage is not absolute, as it provided the stage of a bundle relatively to the others (for instance, a bundle in stage 4 is not necessarily fully mature, it is simply more mature than the other ones).
Maturational Processes and Diffusion Indices
We focused on two complementary diffusion indices, which are expected to reflect different biological processes during white matter maturation [Mukherjee et al., 2002; Partridge et al., 2004]. Using rather simple hypotheses, we assumed that mean diffusivity changes would reflect maturation earlier than anisotropy changes during the considered developmental period (one to four postnatal months), except in the most mature or immature bundles where equivalence would be observed. This approach was validated by experimental observations in 8 tracts out of 11, as seen on Figure 6 (〈D〉 and FA stages), highlighting plausible biophysical relationships between postnatal maturational processes and diffusion indices changes in the white matter.
However, the model was not supported by experimental results in three tracts (corpus callosum, external capsule, uncinate fasciculus), in which anisotropy stages were in advance compared with mean diffusivity stages. These three bundles were classified as stage 2 for 〈D〉, while for FA they were classified as stage 3 for the external capsule and stage 4 for both the corpus callosum and the uncinate fasciculus. Actually, this discrepancy might at least partly be related to an overestimation of the FA stages in these three bundles.
First, FA in the corpus callosum was the only measure that did not vary with age (contrarily to its mean diffusivity) suggesting that its particular geometry, with fibers tightly compact at the level of the interhemispheric fissure, may mask any other change. Its anisotropy is indeed very high in both infants and adults (Fig. 3a). Furthermore, anisotropy is already observed there in the preterm brain [Huppi et al., 1998a], whereas commissural fibers are far from being mature. Thus, the normalization by the adult values used in the calculation of the maturation state was probably insufficient to disentangle a maturation effect from organization and compactness effects.
Second, in the external capsule, FA median over the adults group may have been underestimated, as compared with the infants' one, due to crossings between the mature capsule fibers and the fanning corpus callosum fibers. By contrast, in infants, the corpus callosum is not myelinated yet, making FA measurements in the external capsule relatively robust to partial volume effects resulting from these crossings. A similar pitfall may have occurred in the uncinate fasciculus, which is located in a high crossing‐fiber region.
The mean diffusivity stages would classify these three fascicles in phase 2 or 3, coherently with current knowledge on these bundles myelination. However, we cannot exclude that our maturation model in phases determined through the categorization of 〈D〉 and FA stages does not take into account all underlying biophysical phenomena that modify water diffusion during the postnatal white matter maturation. Other biological processes, such as fibers organization and functional maturation, may interfere and prevent the application of this model in all bundles. Besides, Drobyshevsky and collaborators recently reported that, in the brain of rabbit pups from E22‐P11 (which corresponds to a compressed and slightly different developmental time‐frame, as compared with human infants), developmental changes in anisotropy coincide with the proliferation of immature oligodendrocytes before myelination [Drobyshevsky et al., 2005], whereas we assumed this process to be isotropic when isolated [Baumann and Pham‐Dinh, 2001]. However, as maturation steps cannot be strictly compared across species, we believe some degree of ongoing fibers organization and compactness probably also influences their anisotropy measurements. In the corpus callosum of rabbit pups, which develops from E22 on, and where myelination begins at P11 only, the first process of our model may be predominant, with no change in mean diffusivity, decrease in transverse diffusivity, and increase in both longitudinal diffusivity and anisotropy. On the contrary, in the internal capsule where myelination begins at P5, both two first processes may be associated, with a decrease in mean, longitudinal and transverse diffusivities and increase in anisotropy. Thus, our model is coherent with animal observations, and provided meaningful results for eight fascicles of interest in infants.
Spatiotemporal Sequence of White Matter Bundles Maturation
Our in vivo approach, which highlights the bundles maturation asynchrony in healthy infants, is in good agreement with the myelination progression as determined by both postmortem [Brody et al., 1987; Kinney et al., 1988; Yakovlev and Lecours, 1967] and conventional imaging studies [for review Paus et al., 2001], which both underscore the precocity of maturation of the sensori‐motor fibers relative to associative fibers. These studies report that the rostral part of the brain stem and the cerebellar peduncles are myelinated at birth (transpontine fibers, spino‐thalamic tract, and cortical spinal tract). In the telencephalon, myelination begins in the posterior limb of the internal capsule during the third trimester of gestation, followed by the acoustic and optic radiations at birth, the rolandic area around 4 months, the external capsule around 10 months, and the frontal white matter by 1 year of age. The latest areas to start their myelination are the associative parietal and temporal areas (connected by arcuate and longitudinal fasciculi) with a protracted course up to adulthood [Paus et al., 1999]. The corpus callosum myelinates progressively from birth on, according to the maturation of the regions of origin of the cortico‐cortical crossing fibers.
Furthermore, our infant's data on individual bundles extend previous knowledge, by showing dissociations within a functional system. In the limbic system for example, the fornix is in advance relative to the cingulum. This observation could be related to differences in the phylogenetic origins of the bundles [Mega et al., 1997]: the fornix is a relatively old structure, whereas the cingulum has appeared in the most evolved mammals. Fornix, which is to be involved in memory and associative learnings [Brasted et al., 2003; Eacott and Gaffan, 2005], is identified in vitro by 10 weeks of gestation [Rados et al., 2006]. Actually, behavioral experiments using non nutritive sucking may be based on its relative maturation in newborns, even born preterm [Dehaene‐Lambertz, 1997], as they rely on conditional learning between stimulus presentation and sucking behavior.
Model Methodological Issues and Limitations
One of the major advantages of our approach is its noninvasive application in living healthy infants, to determine the normal asynchronous bundles maturation, thus giving the possibility to correlate these microstructural observations with functional and behavioral results. Knowledge based on postmortem studies is intrinsically limited as the brain “normal” development of dead subjects may be questionable because of incorrect diagnostic, undetected metabolic troubles, insufficient or even painful stimulation in sick infants, etc. that could interfere with normal cerebral maturation, and precise corresponding functional assessment cannot be obtained.
Nevertheless, some methodological issues and limitations of this study should be kept in mind. The classification model was implemented over a short range of age after birth (1–4‐month‐old infants), as we did not succeed to reliably image older healthy infants without sedation. Our model is valid only when maturation changes are ongoing, as all states and speeds become equal to 0 when the adult pattern is reached (all bundles are then in the same relative stage as the average over bundles). Because we were working over a restricted developmental period during which maturational changes are intense, we assumed a continuous and linear progression of maturation, without plateau in the slope of the curve. However, this type of model might be less accurate for the study of later development [Mukherjee and McKinstry, 2006].
The maturation stages were defined according to maturation states and speeds, which were computed by comparing infants and adults data. To do so, DTI acquisition parameters were adapted in adults in order to keep equivalent signal‐to‐noise ratio and relatively identical partial volume effects through the slice in both groups. Nevertheless, the in‐plane spatial resolution and the b factor were kept the same, despite differing diffusivity properties.
By principle, fibers reconstructed with the trajectory regularization algorithm are to include more places with crossing fibers than linear algorithms like FACT [Mori et al., 1999], which may be problematic for the indices quantification on average over the tract, as previously mentioned for the external capsule. We could have excluded these regions from the analysis, by discarding voxels with low FA, but this would have introduced a systematic bias in the quantitative analysis of bundles maturation, with an uncertainty on the location of suppressed voxels.
As a reference to assess the relative differential bundles maturation, the averages of the diffusion indices were calculated over all tracked bundles, instead of over the whole white matter because, in the infant brain, tissue segmentation would require the acquisition of complementary T1 and T2 weighted images [Huppi et al., 1998b], and its accuracy is limited due to the small contrast difference between white and grey matter.
CONCLUSION
By imaging the brain of healthy infants with diffusion tensor imaging and tractography, we were able to highlight both noninvasively and quantitatively relative spatio‐temporal differences of the early maturation of white matter bundles. The designed relative maturation stages confirmed and extended postmortem knowledge, showing the anterior limb of the internal capsule and the cingulum being the most immature, followed by the optic radiations, the arcuate and inferior longitudinal fascicles, then the spino‐thalamic tract and the fornix, and finally the cortico‐spinal tract as the most mature bundle. Such an approach offers great opportunities for the investigation of the relationships between the maturation of structural connectivity and the normal functional development in humans. It also provides useful landmarks for the future demonstration of pathological cognitive development in early infancy.
Acknowledgements
The authors thank Cyril Poupon, Franck Lethimonnier, Denis Rivière, and Arnaud Cachia for support on DTI acquisition and postprocessings, Mr Brunet from Ravier‐Touzard Company for designing a baby bouncer chair specifically adapted to the head coil, and Pr Brunelle for the MRI access.
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