Skip to content
naulon

No retraction, correction or concern found when last checked on Oct 22, 2026.

Subcortical volumes across the lifespan: Data from 18,605 healthy individuals aged 3–90 years

Danai Dima, Amirhossein Modabbernia, Efstathios Papachristou and 97 more

Human Brain Mapping · 2021 · CC BY

doi:10.1002/hbm.25320

Abstract

Age has a major effect on brain volume. However, the normative studies available are constrained by small sample sizes, restricted age coverage and significant methodological variability. These limitations introduce inconsistencies and may obscure or distort the lifespan trajectories of brain morphometry. In response, we capitalized on the resources of the Enhancing Neuroimaging Genetics through Meta‐Analysis (ENIGMA) Consortium to examine age‐related trajectories inferred from cross‐sectional measures of the ventricles, the basal ganglia (caudate, putamen, pallidum, and nucleus accumbens), the thalamus, hippocampus and amygdala using magnetic resonance imaging data obtained from 18,605 individuals aged 3–90 years. All subcortical structure volumes were at their maximum value early in life. The volume of the basal ganglia showed a monotonic negative association with age thereafter; there was no significant association between age and the volumes of the thalamus, amygdala and the hippocampus (with some degree of decline in thalamus) until the sixth decade of life after which they also showed a steep negative association with age. The lateral ventricles showed continuous enlargement throughout the lifespan. Age was positively associated with inter‐individual variability in the hippocampus and amygdala and the lateral ventricles. These results were robust to potential confounders and could be used to examine the functional significance of deviations from typical age‐related morphometric patterns.

Full text

From PubMed Central, U.S. National Library of Medicine, as current on Oct 22, 2026. Paragraph numbers are ours, so an answer can point at one.

INTRODUCTION

Over the last 20 years, studies using structural magnetic resonance imaging (MRI) have confirmed that brain morphometric measures change with age. In general, whole brain, global and regional gray matter volumes increase during development and decrease with aging (Brain Development Cooperative Group,; Driscoll et al.,; Fotenos, Snyder, Girton, Morris, & Buckner,; Good et al.,; Pfefferbaum et al.,; Pomponio et al.,; Raz et al.,; Raznahan et al.,; Resnick, Pham, Kraut, Zonderman, & Davatzikos,; Walhovd et al., ). However, most published studies are constrained by small sample sizes, restricted age coverage and methodological variability. These limitations introduce inconsistencies and may obscure or distort the lifespan trajectories of brain structures. To address these limitations, we formed the Lifespan Working group of the Enhancing Neuroimaging Genetics through Meta‐Analysis (ENIGMA) Consortium (Thompson et al.,, ) to perform large‐scale analyses of brain morphometric data extracted from MRI images using standardized protocols and unified quality control procedures, harmonized and validated across all participating sites.

Here we focus on ventricular, striatal (caudate, putamen, nucleus accumbens), pallidal, thalamic, hippocampal and amygdala volumes. Subcortical structures are crucial for normal cognitive and emotional adaptation (Grossberg, ). The striatum and pallidum (together referred to as basal ganglia) are best known for their role in action selection and movement coordination (Calabresi, Picconi, Tozzi, Ghiglieri, & Di Filippo, ) but they are also involved in other aspects of cognition particularly memory, inhibitory control, reward and salience processing (Chudasama & Robbins,; Richard, Castro, Difeliceantonio, Robinson, & Berridge,; Scimeca & Badre,; Tremblay, Worbe, Thobois, Sgambato‐Faure, & Féger, ). The role of the hippocampus has been most clearly defined in connection to declarative memory (Eichenbaum,; Shohamy & Turk‐Browne, ) while the amygdala has been historically linked to affect processing (Kober et al., ). The thalamus is centrally located in the brain and acts as a key hub for the integration of motor and sensory information with higher‐order functions (Sherman,; Zhang, Snyder, Shimony, Fox, & Raichle, ). The role of subcortical structures extends beyond normal cognition because changes in the volume of these regions have been reliably identified in developmental (Ecker, Bookheimer, & Murphy,; Krain & Castellanos, ), psychiatric (Hibar et al.,; Kempton et al.,; Schmaal et al.,; van Erp et al., ) and degenerative disorders (Risacher et al., ).

Using data from 18,605 individuals aged 3–90 years from the ENIGMA Lifespan working group we delineated the association between age and subcortical volumes from early to late life in order to (a) identify periods of volume change or stability, (b) provide normative, age‐adjusted centile curves of subcortical volumes and (c) quantify inter‐individual variability in subcortical volumes which is considered a major source of inter‐study differences (Dickie et al.,; Raz, Ghisletta, Rodrigue, Kennedy, & Lindenberger, ).

Study samples

The study data derive from 88 samples comprising 18,605 healthy participants, aged 3–90 years, with near equal representation of men and women (48% and 52%) (Table 1, Figure 1). At the time of scanning, participating individuals were screened to exclude the presence of mental disorders, cognitive impairment or significant medical morbidity. Details of the screening process and eligibility criteria for each research group are shown in Table S1).

Neuroimaging

Detailed information on scanner vendor, magnet strength and acquisition parameters for each sample are presented in Table S1. For each sample, the intracranial volume (ICV) and the volume of the basal ganglia (caudate, putamen, pallidum, nucleus accumbens), thalamus, hippocampus, amygdala and lateral ventricles were extracted using FreeSurfer (http://surfer.nmr.mgh.harvard.edu) from high‐resolution T1‐weighted MRI brain scans (Fischl,; Fischl et al., ). Prior to data pooling, images were visually inspected at each site to exclude participants whose scans were improperly segmented. After merging the samples, only individuals with complete data were included outliers were identified and excluded using Mahalanobis distances. All analyses described below were repeated for ICV‐unadjusted volumetric measures which yielded identical results and are only presented as a separate supplement.

Approximately 20% of the samples had a multi‐scanner design. During data harmonization the scanner was modeled as a site. In each site, the intracranial volume (Figure S1) was used to adjust the subcortical volumes via a formula based on the analysis of the covariance approach: “adjusted volume = raw volume – b × (ICV – mean ICV)”, where b is the slope of regression of a region of interest volume on ICV (Raz et al., ). The values of the subcortical volumes were then harmonized between sites using the ComBat method in R (Fortin et al.,,; Radua et al., ). Originally developed to adjust for batch effect in genetic studies, ComBat uses an empirical Bayes to adjust for inter‐site variability in the data, while preserving variability related to the variables of interest.

Fractional polynomial regression analyses

The effect of age on each ICV‐ and site‐adjusted subcortical volume was modeled using high order fractional polynomial regression (Royston & Altman,; Sauerbrei, Meier‐Hirmer, Benner, & Royston, ) in each hemisphere. Because the effect of site (scanner and Freesurfer version) was adjusted using ComBat, we only included sex as a covariate in the regression models. Fractional polynomial regression is currently considered the most advantageous modeling strategy for continuous variables (Moore, Hanley, Turgeon, & Lavoie, ) as it allows testing for a wider range of trajectory shapes than conventional lower‐order polynomials (e.g., linear or quadratic) and for multiple turning points (Royston & Altman,; Royston, Ambler, & Sauerbrei, ). For each subcortical structure, the best model was obtained by comparing competing models of up to three power combinations. The powers used to identify the best fitting model were −2, −1, −0.5, 0.5, 1, 2, 3 and the natural logarithm (ln) function. The optimal model describing the association between age and each of the volumes was selected as the lowest degree model based on the partial F‐test (if linear) or the likelihood‐ratio test. To avoid over‐fitting at ages with more data points, we used the stricter.01 level of significance as the cut‐off for each respective likelihood‐ratio tests, rather than adding powers, until the.05 level was reached. For ease of interpretation we centered the volume of each structure so that the intercept of a fractional polynomial was represented as the effect at zero for sex. Fractional polynomial regression models were fitted using Stata/IC software v.13.1 (Stata Corp., College Station, TX). Standard errors were also adjusted for the effect of site in the FP regression.

We conducted two supplemental analyses: (a) we specified additional FP models separately for males and females and, (b) we calculated Pearson's correlation coefficient between subcortical volumes and age in the early (6–29 years), middle (30–59 years), and late‐life (60–90 years) age‐group. The results of these analyses have been included in the supplemental material.

Inter‐individual variability

Inter‐individual variability was assessed using two complimentary approaches. First, for each subcortical structure we compared the early (6–29 years), middle (30–59 years) and late‐life (60–90 years) age‐groups in terms of their mean inter‐individual variability; these groups were defined following conventional notions regarding periods of development, midlife and aging. The variance of each structure in each age‐group was calculated aswhere e represents the residual variance of each individual (i) around the nonlinear best fitting regression line, and n the number of observations in each age‐group (t). The residuals (e i ) were normally distributed suggesting good fit of the model without having over‐ or under‐fitted the data. Upon calculating the square root of the squared residuals we used the natural logarithm to account for the positive skewness of the new distribution. Then the mean inter‐individual variability between early (6–29 years), middle (30–59 years) and late‐life (60–90 years) age‐groups was compared using between‐groups omnibus tests for the residual variance around the identified best‐fitting nonlinear fractional polynomial model of each structure. We conducted 16 tests (one for each structure) and accordingly the critical alpha value was set at 0.003 following Bonferroni correction for multiple comparisons.

The second approach entailed the quantification of the mean individual variability of each subcortical structure through a meta‐analysis of the SD of the adjusted volumes according to the method proposed by Senior, Gosby, Lu, Simpson, and Raubenheimer.

Centile curves

Reference curves for each structure by sex and hemisphere were produced from ICV‐ and site‐adjusted volumes as normalized growth centiles using the parametric Lambda (λ), Mu (μ), Sigma (σ) (LMS) method (Cole & Green, ) implemented using the Generalized Additive Models for Location, Scale and Shape (GAMLSS) in R (http://cran.r-project.org/web/packages/gamlss/index.html) (Rigby & Stasinopoulos,; Stasinopoulos & Rigby, ). LMS allows for the estimation of the distribution at each covariate value after a suitable transformation and is summarized using three smoothing parameters, the Box‐Cox power λ, the mean μ and the coefficient of variation σ. GAMLSS uses an iterative maximum (penalized) likelihood estimation method to estimate λ, μ and σ as well as distribution dependent smoothing parameters and provides optimal values for effective degrees of freedom (edf) for every parameter (Indrayan, ). This procedure minimizes the Generalized Akaike Information Criterion (GAIC) goodness of fit index; smaller GAIC values indicate better fit of the model to the data. GAMLSS is a flexible way to derive normalized centile curves as it allows each curve to have its own number of edf while overcoming biased estimates resulting from skewed data

Fractional polynomial regression analyses

The volume of the caudate, putamen, globus pallidus and nucleus accumbens peaked early during the first decade of life and showed a linear decline immediately thereafter (Figure 2, Figures S2–S4). The association between age and the volumes of the thalamus, hippocampus and amygdala formed a flattened, inverted U‐curve (Figure 3, Figures S5 and S6). Specifically, the volumes of these structures were largest during the first 2–3 decades of life, remained largely stable until the sixth decade and declined gradually thereafter (Table S2). The volume of the lateral ventricles increased steadily with age bilaterally (Figure S7). The smallest proportion of variance explained by age and its FP derivatives was noted in the right amygdala (7%) and the largest in the lateral ventricles bilaterally (38%) (Table S2).

Striatal volumes correlated negatively with age throughout the lifespan with the largest coefficients observed in the middle‐life age‐group (r = −0.39 to −0.20) and the lowest (|r| < 0.05) in the late‐life age‐group, particularly in the caudate. The volumes of the thalamus, the hippocampus and the amygdala showed small positive correlations with age (r ≈ 0.16) in the early‐life age‐group. In the middle‐life age‐group, the correlation between age and subcortical volumes became negative (r = −0.30 to −0.27) for the thalamus but remained largely unchanged for the amygdala and the hippocampus. In the late‐life age‐group, the largest negative correlation coefficients between age and volume were observed for the hippocampus bilaterally (r = −0.44 to −0.39). The correlation between age and lateral ventricular volumes bilaterally increased throughout the lifespan from r = 0.19 to 0.20 in early‐life age‐group to r = 0.40 to 0.45 in the late‐life age‐group (Table S3). No effect of sex was noted for any pattern of correlation between subcortical volumes and age in any age‐group.

Inter‐individual variability: For each structure, the mean inter‐individual variability in volume in each age‐group is shown in Table S5. Inter‐individual variance was significantly higher for the hippocampus, thalamus amygdala and lateral ventricles bilaterally in the late‐life age‐group compared to both the early‐ and middle‐life group. These findings were recapitulated when data were analyzed using a meta‐analytic approach (Figure S8).

Normative Centile Curves: Centile normative values for each subcortical structure stratified by sex and hemisphere are shown in Figure 4 and Tables S6–S8.

DISCUSSION

We analyzed subcortical volumes from 18,605 healthy individuals from multiple cross‐sectional cohorts to infer age‐related trajectories between the ages of 3 and 90 years. Our lifespan perspective and our large sample size complement and enrich previous age‐related findings in subcortical volumes.

We found three distinct patterns of association between age and subcortical volumes. The volume of the lateral ventricles increased monotonically with age. Striatal and pallidal volumes peaked in childhood and declined thereafter. The volumes of the thalamus, hippocampuus and amygdala peaked later and showed a prolonged period of stability lasting until the sixth decade of life, before they also started to decline. These findings are in line with those of Pomponio et al., who also used harmonized multi‐site MRI data from 10,323 individuals aged 3–96 years, and those reported by Douaud et al. who analyzed volumetric data from 484 healthy participants aged 8 to 85 years. Notably, both studies reported similarity in the age‐related changes of the thalamus, hippocampus and the amygdala. Our results also underscore the significantly steeper negative association between subcortical volumes and age from the sixth decade of life onwards. This effect seemed relatively more pronounced for the hippocampus, compared to the other subcortical regions, as observed in other studies (Jernigan et al.,; Pomponio et al.,; Raz et al., ).

The trajectories of subcortical volumes are shaped by genetic and nongenetic exposures, biological or otherwise (Eyler et al.,; Somel et al.,; Wardlaw et al., ). Our findings of higher inter‐individual variability with age in the volumes of the thalamus, hippocampus and amygdala suggest that these structures may be more susceptible to person‐specific exposures, or late‐acting genes, particularly from the sixth decade onwards.

The unique strengths of this study are the availability of age‐overlapping cross‐sectional data from healthy individuals, lifespan coverage and the use of standardized protocols for volumetric data extraction across all samples. Study participants in each site were screened to ensure mental and physical wellbeing at the time of scanning using procedures considered as standard in designating study participants as healthy controls. Although health is not a permanent attribute, it is extremely unlikely given the size of the sample that the results could have been systematically biased by incipient disease

A similar longitudinal design would be near infeasible in terms of recruitment and retention both of participants and investigators. Although multisite studies have to account for differences in scanner type and acquisition, lengthy longitudinal designs encounter similar issues due to inevitable changes in scanner type and strength and acquisition parameters over time. In this study, the use of age‐overlapping samples from multiple different countries has the theoretical advantage of diminishing systematic biases reflecting cohort and period effects (Glenn,; Keyes, Utz, Robinson, & Li, ) that are likely to operate in single site studies.

In medicine, biological measures from each individual are typically categorized as normal or otherwise in reference to a population derived normative range. This approach is yet to be applied to neuroimaging data, despite the widespread use of structural MRI for clinical purposes and the obvious benefit of a reference range from the early identification of deviance (Dickie et al.,; Pomponio et al., ). Alzheimer's disease provides an informative example as the degree of baseline reduction in medial temporal regions, and particularly the hippocampus, is one of the most significant predictors of conversion from mild cognitive impairment to Alzheimer's disease (Risacher et al., ). The data presented here demonstrate the power of international collaborations within ENIGMA for analyzing large‐scale datasets that could eventually lead to normative range for brain volumes for well‐defined reference populations. The centile curves presented here are a first‐step in developing normative reference values for neuroimaging phenotypes and further work is required in establishing measurement error and functional significance (see Supplement). These curves are not meant to be used clinically or to provide valid percentile measures for a single individual.

In conclusion, we used existing cross‐sectional data to infer age‐related trajectories of regional subcortical volumes. The size and age‐coverage of the analysis sample has the potential to disambiguate uncertainties regarding developmental and aging changes in subcortical volumes while the normative centile values could be further developed and evaluated.

CONFLICT OF INTEREST

H.‐J. G.: Travel grants and speaker honoraria from Fresenius Medical Care, Neuraxpharm, Servier and Janssen Cilag; research funding from Fresenius Medical Care. O. A. A.: Consultant to HealthLytix, speaker honorarium from Lundbeck. A. M. D.: Founder and member of the Scientific Advisory Board CorTechs Labs, Inc where he holds equity; member of the Scientific Advisory of Human Longevity Inc; research grants with General Electric Healthcare.

References 53

  1. 1.

    Brain Development Cooperative Group. (2012 ). Total and regional brain volumes in a population‐based normative sample from 4 to 18 years: The NIH MRI Study of Normal Brain Development. Cerebral Cortex, 22, 1–12.

    Not in our library10.1093/cercor/bhr018

  2. 2.

    Calabresi, P., Picconi, B., Tozzi, A., Ghiglieri, V., & Di Filippo, M. (2014 ). Direct and indirect pathways of basal ganglia: A critical reappraisal. Nature Neuroscience, 17, 1022–1030.

    Not in our library10.1038/nn.3743

  3. 3.

    Chudasama, Y., & Robbins, T. W. (2006 ). Functions of frontostriatal systems in cognition: Comparative neuropsychopharmacological studies in rats, monkeys and humans. Biological Psychology, 73, 19–38.

    Not in our library10.1016/j.biopsycho.2006.01.005

  4. 4.

    Cole, T. J., & Green, P. J. (1992 ). Smoothing reference centile curves: The LMS method and penalized likelihood. Statistics in Medicine, 11, 1305–1319.

    Not in our library10.1002/sim.4780111005

  5. 5.

    Dickie, D. A., Job, D. E., Gonzalez, D. R., Shenkin, S. D., Ahearn, T. S., Murray, A. D., & Wardlaw, J. M. (2013 ). Variance in brain volume with advancing age: Implications for defining the limits of normality. PLoS One, 8, e84093.

    Not in our library10.1371/journal.pone.0084093

  6. 6.

    Douaud, G., Groves, A. R., Tamnes, C. K., Westlye, L. T., Duff, E. P., Engvig, A., … Johansen‐Berg, H. (2014 ). A common brain network links development, aging, and vulnerability to disease. Proceedings of the National Academy of Sciences of the United States of America, 111, 17648–17653.

    Not in our library10.1073/pnas.1410378111

  7. 7.

    Driscoll, I., Davatzikos, C., An, Y., Wu, X., Shen, D., Kraut, M., & Resnick, S. M. (2009 ). Longitudinal pattern of regional brain volume change differentiates normal aging from MCI. Neurology, 72, 1906–1913.

    Not in our library10.1212/wnl.0b013e3181a82634

  8. 8.

    Ecker, C., Bookheimer, S. Y., & Murphy, D. G. (2015 ). Neuroimaging in autism spectrum disorder: Brain structure and function across the lifespan. Lancet Neurology, 14, 1121–1134.

    Not in our library10.1016/s1474-4422(15)00050-2

  9. 9.

    Eichenbaum, H. (2004 ). Hippocampus: Cognitive processes and neural representations that underlie declarative memory. Neuron, 44, 109–120.

    Not in our library10.1016/j.neuron.2004.08.028

  10. 10.

    Eyler, L. T., Prom‐Wormley, E., Fennema‐Notestine, C., Panizzon, M. S., Neale, M. C., Jernigan, T. L., … Kremen, W. S. (2011 ). Genetic patterns of correlation among subcortical volumes in humans: Results from a magnetic resonance imaging twin study. Human Brain Mapping, 32, 641–653.

    Not in our library10.1002/hbm.21054

  11. 11.

    Fischl, B. (2012 ). FreeSurfer. NeuroImage, 62, 774–781.

    Not in our library10.1016/j.neuroimage.2012.01.021

  12. 12.

    Fischl, B., Salat, D. H., Busa, E., Albert, M., Dieterich, M., Haselgrove, C., … Dale, A. M. (2002 ). Whole brain segmentation: Automated labeling of neuroanatomical structures in the human brain. Neuron, 33, 341–355.

    Not in our library10.1016/s0896-6273(02)00569-x

  13. 13.

    Fortin, J. P., Cullen, N., Sheline, Y. I., Taylor, W. D., Aselcioglu, I., Cook, P. A., … Shinohara, R. T. (2018 ). Harmonization of cortical thickness measurements across scanners and sites. NeuroImage, 167, 104–120.

    Not in our library10.1016/j.neuroimage.2017.11.024

  14. 14.

    Fortin, J. P., Parker, D., Tunc, B., Watanabe, T., Elliott, M. A., Ruparel, K., … Shinohara, R. T. (2017 ). Harmonization of multi‐site diffusion tensor imaging data. NeuroImage, 161, 149–170.

    Not in our library10.1016/j.neuroimage.2017.08.047

  15. 15.

    Fotenos, A. F., Snyder, A. Z., Girton, L. E., Morris, J. C., & Buckner, R. L. (2005 ). Normative estimates of cross‐sectional and longitudinal brain volume decline in aging and AD. Neurology, 64, 1032–1039.

    Not in our library10.1212/01.wnl.0000154530.72969.11

  16. 16.

    Glenn, N. D. (2003 ). Distinguishing age, period, and cohort effects. In J. T. Mortimer & M. J. Shanahan (Eds.), Handbook of the life course (pp. 465–476). New York: Springer US.

    Not in our library

  17. 17.

    Good, C. D., Johnsrude, I. S., Ashburner, J., Henson, R. N., Friston, K. J., & Frackowiak, R. S. (2001 ). A voxel‐based morphometric study of ageing in 465 normal adult human brains. NeuroImage, 14, 21–36.

    Not in our library10.1006/nimg.2001.0786

  18. 18.

    Grossberg, S. (2009 ). Cortical and subcortical predictive dynamics and learning during perception, cognition, emotion and action. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, 364, 1223–1234.

    Not in our library10.1098/rstb.2008.0307

  19. 19.

    Hibar, D. P., Westlye, L. T., van Erp, T. G., Rasmussen, J., Leonardo, C. D., Faskowitz, J., … Andreassen, O. A. (2016 ). Subcortical volumetric abnormalities in bipolar disorder. Molecular Psychiatry, 21, 1710–1716.

    Not in our library10.1038/mp.2015.227

  20. 20.

    Indrayan, A. (2014 ). Demystifying LMS and BCPE methods of centile estimation for growth and other health parameters. Indian Pediatrics, 51, 37–43.

    Not in our library10.1007/s13312-014-0310-6

  21. 21.

    Jernigan, T. L., Archibald, S. L., Fenema‐Notestine, C., Gamst, A. C., Stout, J. C., Bonner, J., & Hesselink, J. R. (2001 ). Effects of age on tissues and regions of the cerebrum and cerebellum. Neurobiology of Aging, 22, 581–594.

    Not in our library10.1016/s0197-4580(01)00217-2

  22. 22.

    Kempton, M. J., Salvador, Z., Munafò, M. R., Geddes, J. R., Simmons, A., Frangou, S., & Williams, S. C. (2011 ). Structural neuroimaging studies in major depressive disorder. Meta‐analysis and comparison with bipolar disorder. Archives of General Psychiatry, 68, 675–690.

    Not in our library10.1001/archgenpsychiatry.2011.60

  23. 23.

    Keyes, K. M., Utz, R. L., Robinson, W., & Li, G. (2010 ). What is a cohort effect? Comparison of three statistical methods for modelling cohort effects in obesity prevalence in the United States, 1971–2006. Social Science & Medicine, 70, 1100–1108.

    Not in our library10.1016/j.socscimed.2009.12.018

  24. 24.

    Kober, H., Barrett, L. F., Joseph, J., Bliss‐Moreau, E., Lindquist, K., & Wager, T. D. (2008 ). Functional grouping and cortical‐subcortical interactions in emotion: A meta‐analysis of neuroimaging studies. NeuroImage, 42, 998–1031.

    Not in our library10.1016/j.neuroimage.2008.03.059

  25. 25.

    Krain, A. L., & Castellanos, F. X. (2006 ). Brain development and ADHD. Clinical Psychology Review, 26, 433–444.

    Not in our library10.1016/j.cpr.2006.01.005

  26. 26.

    Moore, L., Hanley, J. A., Turgeon, A. F., & Lavoie, A. (2011 ). A comparison of generalized additive models to other common modeling strategies for continuous covariates: Implications for risk adjustment. Journal of Biometrics and Biostatistics, 2, 109.

    Not in our library

  27. 27.

    Pfefferbaum, A., Rohlfing, T., Rosenbloom, M. J., Chu, W., Colrain, I. M., & Sullivan, E. V. (2013 ). Variation in longitudinal trajectories of regional brain volumes of healthy men and women (ages 10 to 85 years) measured with atlas‐based parcellation of MRI. NeuroImage, 65, 176–193.

    Not in our library10.1016/j.neuroimage.2012.10.008

  28. 28.

    Pomponio, R., Erus, G., Habes, M., Doshi, J., Srinivasan, D., Mamourian, E., … Davatzikos, C. (2019 ). Harmonization of large MRI datasets for the analysis of brain imaging patterns throughout the lifespan. NeuroImage, 208, 116450.

    Not in our library10.1016/j.neuroimage.2019.116450

  29. 29.
  30. 30.

    Raz, N., Ghisletta, P., Rodrigue, K. M., Kennedy, K. M., & Lindenberger, U. (2010 ). Trajectories of brain aging in middle‐aged and older adults: Regional and individual differences. NeuroImage, 51, 501–511.

    Not in our library10.1016/j.neuroimage.2010.03.020

  31. 31.

    Raz, N., Lindenberger, U., Rodrigue, K. M., Kennedy, K. M., Head, D., Williamson, A., … Acker, J. D. (2005 ). Regional brain changes in aging healthy adults: General trends, individual differences and modifiers. Cerebral Cortex, 15, 1676–1689.

    Not in our library10.1093/cercor/bhi044

  32. 32.

    Raznahan, A., Shaw, P. W., Lerch, J. P., Clasen, L. S., Greenstein, D., Berman, R., … Giedd, J. N. (2014 ). Longitudinal four‐dimensional mapping of subcortical anatomy in human development. Proceedings of the National Academy of Sciences of the United States of America, 111, 1592–1597.

    Not in our library10.1073/pnas.1316911111

  33. 33.

    Resnick, S. M., Pham, D. L., Kraut, M. A., Zonderman, A. B., & Davatzikos, C. (2003 ). Longitudinal magnetic resonance imaging studies of older adults: A shrinking brain. The Journal of Neuroscience, 23, 3295–3301.

    Not in our library10.1523/jneurosci.23-08-03295.2003

  34. 34.

    Richard, J. M., Castro, D. C., Difeliceantonio, A. G., Robinson, M. J., & Berridge, K. C. (2013 ). Mapping brain circuits of reward and motivation: In the footsteps of Ann Kelley. Neuroscience and Biobehavioral Reviews, 37, 1919–1931.

    Not in our library10.1016/j.neubiorev.2012.12.008

  35. 35.

    Rigby, R. A., & Stasinopoulos, D. M. (2005 ). Generalized additive models for location, scale and shape. Applied Statistics, 54, 507–554.

    Not in our library

  36. 36.
  37. 37.

    Royston, P., & Altman, D. G. (1994 ). Regression using fractional polynomials of continuous covariates: Parsimonious parametric modelling. Applied Statistics, 43, 429–467.

    Not in our library

  38. 38.

    Royston, P., Ambler, G., & Sauerbrei, W. (1999 ). The use of fractional polynomials to model continuous risk variables in epidemiology. International Journal of Epidemiology, 28, 964–974.

    Not in our library10.1093/ije/28.5.964

  39. 39.

    Sauerbrei, W., Meier‐Hirmer, C., Benner, A., & Royston, P. (2006 ). Multivariable regression model building by using fractional polynomials: Description of SAS, STATA and R programs. Computational Statistics and Data Analysis, 50, 3464–3485.

    Not in our library

  40. 40.
All 53 references

Cited by papers we hold 5

Reads

Read by people on this page

None yet.

Checked or read by AI through naulon

None yet.

A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.

Are you an author?

Is this your paper?

Claim it to add your note and be paid when agents cite it. Free.