Summary
Structural magnetic resonance imaging (MRI) allows unparalleled in vivo study of the anatomy of the developing human brain. For more than two decades[1], MRI research has revealed many new aspects of this multifaceted maturation process, significantly augmenting scientific knowledge gathered from postmortem studies. Postnatal brain development is notably protracted and involves considerable changes in cerebral cortical[2–4], subcortical[5], and cerebellar[6, 7] structures, as well as significant architectural changes in white matter fiber tracts[8–11] (for review, see[12]). Although much progress has been made in describing isolated features of neuroanatomical development, it remains a critical challenge to characterize the multidimensional nature of brain anatomy in a way that accurately captures different phases of development among individuals. Capitalizing on key advances in multisite, multimodal MRI, and using a nonlinear modeling and cross-validation approach, we demonstrate that developmental brain phase can be assessed with much greater precision than has been possible using other biological measures, accounting for more than 92% of the variance in age. Further, our composite metric of morphology, diffusivity, and signal intensity shows that the developmental difference in phase among children of the same age is only about one year for most individuals, revealing for the first time a latent phenotype in the human brain for which the timing of maturation is tightly controlled.
Results
In order to measure and model individual differences in biological brain maturity, we employed several new advances that provide the ability to integrate data from across different imaging modalities and from across different sites and scanners. We used a standardized, multimodal structural MRI protocol implemented at nine different institutions on 12 different scanners made by three different manufacturers. Data were collected in a deliberately diverse sample of 885 typically developing individuals between 3 and 20 years old (Table S1; Supplemental Information). Our acquisition protocol included new techniques for cross-modal nonlinear image registration[13], scanner-specific distortion corrections[14], and adjustments for other site and scanner effects through the application of multisite correction offsets. Fully automated post-processing algorithms, including atlas-based white matter tractography[15], were then used to produce a brain-wide set of anatomical biomarkers. Two hundred thirty one structural brain features known or suspected to change over the ages studied here were measured in every individual. This collection of variables was derived from T1-, T2- and diffusion-weighted imaging and included quantitative measures of brain morphology, signal intensity, and water diffusivity within different tissue types, reflecting anatomical structural organization. Specifically, we measured cortical thickness and area, volumes of segmented subcortical structures, normalized signal intensities, and measures of diffusion magnitude and directionality within cerebral, cerebellar, and white matter fiber tract regions of interest (see Supplemental Information for a complete list of measures).
Individual brain measures
Individual neuroanatomical measures varied greatly in the degree to which they changed with age, in the ages at which they matured, and in their individual differences variability, showing increases, decreases, or non-monotonic changes (Fig. 1). For example, mean cortical thickness decreased almost linearly with age and matured relatively late, continuing to decline through age 20. In contrast, total cortical area increased until the age of 12.3 years and then declined somewhat, but showed comparatively high and constant variability by age. Hippocampal volume increased until the age of 14.2 before slightly decreasing. Volume of the thalamus showed smaller individual differences variability at younger ages and, though peaking at age 17.8, essentially continued in a plateau to age 20.
Fig. 1.
Individual measures derived from the T1-weighted imaging protocol. Example measures derived from the segmentation of the T1-weighted volume are plotted for 885 subjects as a function of age: total cortical area in square millimeters by thousands; mean cortical thickness in millimeters; volume of the left hippocampus in cubic millimeters by thousands; and volume of the right thalamus in cubic millimeters by thousands. Colors correspond to different sites and scanners. Symbol size represents subject sex (larger = female, smaller = male). A spline-fit curve (solid line) with 5% and 95% prediction intervals (dashed lines) are also shown.
Cerebral, cerebellar, and white matter tract diffusivity and signal intensity measures also varied greatly in their developmental profiles (Fig. 2). For example, apparent diffusion coefficient (ADC), a measure of the overall magnitude of water diffusion, decreased steadily to age 20 in right superior longitudinal fasciculus (SLF). This fiber tract connects posterior brain regions to anterior brain regions. ADC in corpus callosum fibers, on the other hand, declined, reached a nadir at age 16.3, and then slightly increased, showing a different developmental trajectory for fibers connecting the two cerebral hemispheres. T2-normalized signal intensity, associated with myelin content and white matter integrity[16, 17], decreased in the left uncinate fasciculus and showed somewhat decreasing variability with age. This tract connects portions of the limbic system to the frontal lobes. Fractional anisotropy (FA), reflecting the directionality of water movement within tissue, showed age-related increases in the left caudate nucleus, where there was a slight acceleration at about age 14.
Fig. 2.
Individual measures derived from the T2- and diffusion-weighted imaging protocols. Example measures derived from the T2- and diffusion-weighted protocols are plotted for 885 subjects as a function of age: T2-normalized (T2N) signal intensity of left uncinate fibers; apparent diffusion coefficient (ADC) of the corpus callosum; ADC of the right superior longitudinal fasciculus (SLF); and fractional anisotropy (FA) of the left caudate nucleus. Colors correspond to different sites and scanners. Symbol size represents subject sex (larger = female, smaller = male). A spline-fit curve (solid line) with 5% and 95% prediction intervals (dashed lines) are also shown.
Composite developmental phase metric
Our standardized, fully integrated multimodal acquisition and analysis approach allowed us to combine all of the individual biomarkers into a brain-wide, multidimensional model of human structural brain development. In order to capitalize on each measure’s idiosyncratic contribution to capturing biological changes across age, and to test the degree to which a combination of these measures assesses the overall phase of individual brain development, we employed a cross-validated multivariate fitting procedure. Using a multivariate distance measure and leave-one-out cross-validation, we determined the age that provides the best fit for each subject by comparing measures for that subject to smooth, nonlinear age trajectories (of the mean and covariance) derived from all other individuals (see Supplemental Information for details). This method was chosen in order to empirically calculate the degree of multi-collinearity among the predictor variables, to remove redundant variance through rotation, orthogonalization, and normalization, and to guard stringently against overfitting. Including 231 variables derived from multiple imaging modalities, the resulting neuroanatomical model accounted for over 92% of the individual differences variability in developmental brain phase as defined by chronological age (Rho = 0.961, R-squared = 0.923; Fig. 3). This model had a mean prediction error across all ages of just 1.03 years and was most accurate in predicting brain maturity at the youngest ages we studied, where annualized neuroanatomical changes are greatest in most measures.
Fig. 3.
Multimodal quantitative anatomical prediction of age. For 885 individuals, estimated brain age is plotted as a function of actual chronological age. Colors correspond to different sites and scanners. Symbol size represents subject sex (larger = female, smaller = male). A spline-fit curve (solid line) with 5% and 95% prediction intervals (dashed lines) are also shown.
In order to compare the separate contributions of the different imaging modalities—and thus types of biological change—to brain maturity, we then divided the multimodal model into three mutually exclusive subsets of measures derived from either the T1-, diffusion-, or T2-weighted scans. The T1 subset model, comprised of 45 measures of cortical area and thickness and subcortical structure volumes, accounted for 83% of the individual differences variability in age (Rho = 0.910, R-squared = 0.828) and showed an average prediction error of 1.71 years across all ages we studied. The diffusion model, made up of the 124 measures of diffusivity (FA, ADC) in subcortical structures and white matter tracts, captured 81% of the variance in age (Rho = 0.898, R-squared = 0.806) and also had a mean prediction error of 1.71 years. The T2 model, comprised of 62 signal intensity measures within subcortical regions of interest (ROIs) and white matter tracts, accounted for 83% of the variance across the full age range (Rho = 0.910, R-squared = 0.828, mean error = 1.60 years; see figures in Supplemental Information).
Despite similar predictive power for the full age range, the age-varying contributions of different imaging modalities to the composite model varied widely across measure type and within different neuroanatomical structures (Fig. 4). At the youngest ages, from about 3 to 11 years old, measures of T2 signal intensity within subcortical ROIs were by far the strongest predictors of developmental phase, declining in importance through the early teens. Diffusion measures within white matter fiber tracts, in comparison, were consistently strong predictors across the age range, becoming the highest contributor during the middle ages of about 12 to 15. T1-derived morphological measures varied, with cortical thickness and subcortical volumes contributing more than cortical area, which was consistently the weakest predictor over age. Interestingly, diffusivity measures within subcortical ROIs increased sharply at about age 14 and were the strongest maturational predictors at the oldest ages, from about 17 to 20 years old.
Fig. 4.
Age-varying contributions of different imaging measures to the prediction of age. The relative contributions of separate morphological, diffusivity, and signal intensity measures within different brain structures are plotted as a function of age. Colors correspond to measure and structure type (dark blue = T1 cortical area; green = T1 cortical thickness; red = T1 subcortical volumes; light blue = diffusion (FA/ADC) within white matter tracts; dark pink = diffusion (FA/ADC) within subcortical ROIs; gold = T2 signal intensity within white matter tracts; black = T2 signal intensity within subcortical ROIs). Contributions are computed as units of the proportion of total explained variance.
Discussion
In developing a composite neuroanatomical metric of biological maturity, we sought to address several fundamental questions about the multidimensional nature of human brain development—questions that could not easily be answered using conventional methods looking at individual brain characteristics in isolation. First, can a combination of noninvasive brain biomarkers accurately assess the dynamically changing phases of brain development from early childhood into young adulthood, and to what degree of precision? Inherently, developmentalists have been interested in the timing aspects of unfolding biological changes, so chronological age has been a key anchor by which many have sought to characterize biological maturity. Conventional medical approaches for assessing biological maturity in childhood and adolescence have focused on the study of somatic growth (e.g., height, weight, body build)[18], dental age[19], skeletal age[20], and hormonal and secondary sexual characteristics[21]. Although clinically informative for placing individuals with regard to age-referenced norms, the high interindividual variability and subjectivity of these measures make them of limited use in predicting age or of conveying much about a child’s complex biological development. Other recent biological approaches to age prediction have used DNA methylation[22], which explained 73% of the variability in age from 18 to 70 years old, and resting state functional MRI data[23], which accounted for 55% of the variance between the ages of seven and 30. Since functional and structural imaging methods would be expected to capture different types of individual differences variability, it might be useful to combine neuroanatomical biomarkers with dynamic physiological measures, such as from functional MRI, electroencephalography (EEG), or magnetoencephalography (MEG). The degree to which these imaging and recording techniques can be combined to model brain development, or to predict cognitive and behavioral functioning, remain open empirical questions.
Secondly, which types of neuroanatomical measures are most powerful for capturing developmental changes across these ages? Separate models of morphology, diffusivity, and signal intensity accounted for similarly high amounts of variance across the full age range at 83%, 81%, and 83% respectively. It is notable that even without any information about the size (i.e., area, thickness, volume) of growing brain structures, maturational phase across a relatively broad developmental span is still captured about equally well using only knowledge about the changing tissue properties. Currently, there is widespread interest in the development of brain connectivity and the belief that protracted white matter changes underpin some of the latest-maturing human cognitive abilities[24, 25]. Our results show that composite diffusivity and signal intensity measures provide a useful index of maturation derived directly from measures of the brain’s connections themselves (i.e., white matter fiber tracts). Future studies will need to determine whether and how these measures relate specifically to the brain’s changing profile of connectedness.
On a related note, do the relative contributions of these different biological measures to explaining individual differences change with age and, if so, how? A direct comparison of the age-varying contributions of the measures, broken down further by different types of neuroanatomical structures, shows a complex, dynamic cascade of changes with different features dominating at different points along the developmental trajectory. It is interesting that measures of T2 signal intensity within subcortical ROIs, not within major cerebral white matter tracts, have the highest phase prediction power up until the age of about 11. Inspection of the individual biomarkers reveals that signal intensity specifically within bilateral pallidum accounts for a large proportion of this overall effect, consistent with a known developmental iron accumulation phenomenon within the basal ganglia[26]. In comparison, diffusion magnitude and directionality within fiber tracts were strong predictors more consistently across the entire age range. Although these measures are commonly collected in child imaging studies and would likely be expected to be useful in predicting maturity, it is informative to see their collective contribution compared directly with other measures and modalities across this age span. As with any biomarker, we surmised that a T1-derived morphological measure that has small individual differences dispersion relative to its annualized change, such as mean cortical thickness, would be better at distinguishing developmental phase than a measure with relatively large variability and little relative change, such as total cortical area. Comparing the individual scatter plot for area with its age-varying contribution, one can see that the measure’s usefulness to prediction becomes zero at exactly the age it asymptotes. Although researchers commonly look at FA and ADC (or mean diffusivity) within major fiber tracts, fewer have published diffusion data within subcortical cerebral and cerebellar gray and white matter. For this reason, it is particularly interesting that the predictive strength of diffusivity measures within subcortical ROIs increased sharply at about age 14 and was the strongest developmental predictor from about 17 to 20 years old. The specific contributions of individual measures within this set of variables should be further characterized because of their apparently important role in development specifically at older ages.
A critical developmental question and a point of great speculation among scientists, educators, and parents is: To what extent do children of the same age differ among each other in their degree of biological maturity? This issue is of fundamental importance to our understanding of human development and is especially relevant to the development of the brain since it underpins all of cognition and behavior. In explaining more than 92% of the variance in age, the multimodal neuroanatomical approach shows an as yet unrivaled ability to capture different phases of biological maturity and, as a result, reveals for the first time a latent brain phenotype for which the maturational timing is tightly controlled. Across the first two decades of postnatal development there is on average only about one year (1.03 years) of difference in this composite metric of neuroanatomical maturity among individuals of the same age, and this difference gradually increases from preschool age into young adulthood. Among three-year-old children, there is only about eight months (0.66 years) difference on average in this developmental phase metric. At age 12, this difference is just under one year (0.95 years), and at age 20 it is only about a year and five months (1.42 years). It is interesting and somewhat surprising that the multimodal metric captures so much of the individual differences variance and across such a wide developmental range. This demonstrates that, despite marked variability among children across a wide variety of isolated brain measures, there are aspects of brain development for which the multidimensional biological phase is remarkably controlled, and its timing is more closely tied to chronological age than was previously known. It should be made clear that these results do not refute the fact that same-aged children exhibit great variability in their psychological functioning, such as in their cognitive, behavioral, social, and academic abilities. Brain scans, though informative about anatomical and physiological states, cannot be used to make inferences about an individual’s psychological maturity. Rather, these results speak only to the degree to which typically developing children differ among each other in their fundamental structural brain properties. Nevertheless, this finding is compelling because it addresses a longstanding scientific question by establishing the existence of a highly homochronous neuroanatomical phenotype.
Looking further at the developmental metric, although the composite differences are generally small at a given age, there are some individuals for whom maturational brain phase is notably over- or under-predicted for their chronological age. For example, the multimodal scatter plot shows a 15-and-a-half year-old girl with a predicted brain age of 10, as well as a 7-year-old boy with a maturity metric of about 11.3 years. Are these children developmentally delayed or precocious in any other way that we can identify? Because we recruited an intentionally diverse group of subjects (see Supplemental Information), our sample likely includes a relatively wide range of individual differences in brain structure, with many intrinsic and extrinsic contributing factors. In exploring and developing this approach further, we will carefully examine all of the individuals who are atypical according to this developmental phase metric, looking for systematic cognitive, behavioral, medical history, and genetic differences. MRI research to date has begun to reveal the structural brain correlates of many common neurodevelopmental disorders, including autism[27], attention disorders[28, 29], and language[30] and reading[31] disorders. Perhaps further development of techniques to quantify the complex multidimensional nature of typical brain maturation can also help to improve the early identification of individuals with abnormal developmental trajectories. Our findings suggest that a multimodal neuroanatomical imaging assessment may hold promise for making an objective, quantitative contribution to our clinical evaluations of brain development.
One limitation of the multidimensional approach is that the models can be difficult to understand in terms of the original measures if they become too complex. For example, an unwieldy number of predictor variables or the use of data reduction techniques such as factor analysis may make results less easily interpretable. For this reason, we used regularization without any abstracted factor transformation such as independent components analysis or machine learning. It can also be helpful to test the separate elements of the model in several ways, as we have done, so as to clarify the relative contributions of different types of measures to the overall biological maturity metric.
In conclusion, our study shows that noninvasive, imaging-based biomarkers can be used to assess different phases of human brain maturity, producing a highly precise biological metric of an individual’s age. Measures of brain morphology, diffusivity, and signal intensity show varying contributions to the prediction of developmental phase at different ages, reflecting a dynamic cascade of biological changes within different tissue types. Perhaps most interestingly, our findings precisely quantify the multidimensional variability that exists in human neuroanatomical growth, revealing for the first time a latent brain phenotype that is tightly linked to chronological age. According to this composite measure, over the first two decades of postnatal development, individuals of the same age show an average phase difference of only about one year. This collection of multimodal, multisite imaging advances now makes it possible for researchers across institutions to establish large-scale, shared databases that can be explored with unprecedented power in order to address critical scientific and clinical questions about human brain health and disease.
Supplementary Material
Highlights.
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Multimodal neuroanatomical measures predict child age with greater than 92% accuracy
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Morphology, diffusivity, and signal intensity capture brain maturity equally well
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Reveals a phenotype that varies by only about a year for most same-aged individuals
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Suggests timing of brain maturation is more tightly controlled than previously known
Acknowledgments
The authors gratefully thank the children, adolescents, adults, and parents who participated in the research. Data collection and sharing for this project was funded by the Pediatric Imaging, Neurocognition, and Genetics Study (PING; National Institutes of Health grant RC2DA029475). PING is funded by the National Institute on Drug Abuse and the Eunice Kennedy Shriver National Institute of Child Health & Human Development. PING data are disseminated by the PING Coordinating Center at the Center for Human Development, University of California, San Diego. Anders Dale is a founder of and holds equity interest in CorTechs Labs, La Jolla, CA and serves on its scientific advisory board. The terms of this arrangement have been reviewed and approved by the University of California, San Diego in accordance with its conflict of interest policies.
Footnotes
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Supplemental Information Inventory
Supplemental Information includes relevant details about Materials and Methods (Subjects, Imaging Data Acquisition, Processing, and Analysis, Modeling Methods); Figures S1, S2, and S3, which are individual imaging modality models related to Figure 3 within the main text; Figure S4, showing the relation between sample size and variance explained within the multimodal model, also related to main Figure 3; Table S1, which is demographic details about the 885 participants; and Table S2, which is a complete list of quantitative MRI-derived neuromaturational measures.
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