The authors have declared that no + competing interests exist.
\nAlterations + in the brain\u2019s connectivity or the interactions among brain regions have + been studied with the aid of resting state (rs)fMRI data attained from large + numbers of healthy subjects of various demographics. This has been instrumental + in providing insight into how a phenotype as fundamental as age affects the + brain. Although machine learning (ML) techniques have already been deployed + in such studies, novel questions are investigated in this work. We study whether + young brains develop properties that progressively resemble those of aged + brains, and if the aging dynamics of older brains provide information about + the aging trajectory in young subjects. The degree of a prospective monotonic + relationship will be quantified, and hypotheses of brain aging trajectories + will be tested via ML. Furthermore, the degree of functional connectivity + across the age spectrum of three datasets will be compared at a population + level and across sexes. The findings scrutinize similarities and differences + among the male and female subjects at greater detail than previously performed.
\nAn understanding
+ of the changes that occur to a brain is fundamental to human neuroscience.
+ While variability in person-to-person brain aging is expected due to genetics,
+ environment, and life events, there are also changes that are more salient.
+ Resting-state fMRI can be collected relatively quickly and easily from subjects
+ of different ages, demographics, and possible pathologies. Atypical brain
+ aging is often reflective of or a precursor to developmental disorders. Furthermore,
+ abnormal trajectories in brain age have been implicated in Parkinson\u2019s
+ disease (PD) [
Subsequent to correlational studies and graph-theoretic
+ approaches, machine learning (ML) has been used to discover structure by performing
+ either regression or classification. There exists a growing number of works
+ that use ML to answer questions pertaining to brain aging. In [
The deviation of a person\u2019s
+ brain age from biological age may also be affected by sex as there is no reason
+ to assume that the prospective changes are uniform among males and females.
+ Works are increasingly incorporating sex as either a predictor or a response
+ variable when evaluating brain age. A recent study [
We use an ML pipeline to study + whether brain aging is a progressive phenomenon that can be characterized + by a monotonic relationship. Recordings of different age groups will be used + in a training procedure with the resulting machine asked to classify subjects + from age groups that the machine has not previously encountered. The findings + will reveal a prospective similarity or difference among the connectivity + of brains from a test set to those that are younger or older. Several hypotheses + will be presented and tested. Namely, what degree of monotonicity exists in + the changes experienced by brains during aging? How consistent are the findings + across datasets? Does the aging trajectory of young brains provide insight + into the aging trajectory of older brains? Conversely, are alterations in + older subjects informative of brain activity earlier in life? To the best + of our knowledge, such analysis has not been previously undertaken in imaging + studies that assess FC.
\nThe dedifferentiation theory of aging was
+ presented to reflect evidence of brain activity that is localized to specific
+ regions in young adults becoming less localized with aging [
Three
+ different datasets were considered.
The number of subjects per age group are bifurcated by sex via the convention + (male, female). *The 1000FCP subjects in Group #1 were, more precisely, in + the 21\u201330 range.
| Group + # | \nAge group (years) | \n1000FCP, | \nSRPBS, | \ncamCAN, | \nNKI-RS
+ (1000FCP), | \n
|---|---|---|---|---|---|
| 1 | \n18\u201330 | \n458 + (215, 243)* | \n327 (227, 100) | \n79 + (35, 44) | \n65 (37, 28)* | \n
| 2 | \n31\u201340 | \n85 (44, 41) | \n126 (81, 45) | \n105 (56, 49) | \n27 (8, 19) | \n
| 3 | \n41\u201350 | \n119 (40, 79) | \n115 (48, 67) | \n101 (43, 58) | \n71 (16, 55) | \n
| 4 | \n51\u201360 | \n119 (38, 81) | \n69 (29, 40) | \n101 (54, 47) | \n67 (12, 55) | \n
| 5 | \n61\u201370 | \n67 (22, 45) | \n61 (30, 31) | \n104 (56, 48) | \n45 (13, 32) | \n
| 6 | \n71\u201380 | \n- | \n- | \n117 (55, 62) | \n- | \n
| 6 | \n71+ | \n39 + (14, 25) | \n11 (8, 3) | \n- | \n32 (11, 21) | \n
| 7 | \n81+ | \n- | \n- | \n45 (23, 22) | \n- | \n
Additional
+ details such as the number of slices, voxel size, and subject handedness can
+ be found in
| Recording + center | \nSubjects (male, female) | \nAge + (years) | \nScanner, TR (s) | \nTime + points | \nEyes | \n
|---|---|---|---|---|---|
| NKI-RS | \n307 (97, 210) | \n21\u201385 | \n3T, 2.5 | \n120 | \nOpen | \n
| Beijing | \n119 (48, 71) | \n21\u201326 | \n3T, 2 | \n225 | \nClosed | \n
| Cambridge | \n101 (40, 61) | \n21\u201330 | \n3T, 3 | \n119 | \nOpen | \n
| COBRE | \n66 (47, 19) | \n21\u201365 | \n3T, 2 | \n150 | \nNA | \n
| Milwaukee | \n43 (14, 29) | \n44\u201365 | \n3T, 2 | \n175 | \nNA | \n
| New York | \n32 (18, 14) | \n22\u201349 | \n3T, 2 | \n192 | \nOpen | \n
| St. Louis | \n31 (14, 17) | \n21\u201329 | \n3T, 2.5 | \n127 | \nOpen | \n
| Atlanta | \n28 (13, 15) | \n22\u201357 | \n3T, 2 | \n205 | \nOpen | \n
| Berlin | \n26 (13, 13) | \n23\u201344 | \n3T, 2.3 | \n195 | \nOpen | \n
| Cleveland | \n26 (9, 17) | \n24\u201360 | \n3T, 2.8 | \n127 | \nClosed | \n
| Dallas | \n21 (10, 11) | \n21\u201371 | \n3T, 2 | \n115 | \nNA | \n
| Queensland | \n18 (11, 7) | \n21\u201334 | \n3T, 2.1 | \n190 | \nOpen | \n
| Orangeburg | \n17 (13, 4) | \n25\u201355 | \n1.5T, 2 | \n165 | \nClosed | \n
| Palo Alto | \n17 (2, 15) | \n22\u201346 | \n3T, 2 | \n245 | \nNA | \n
| Munich | \n14 (9, 5) | \n63\u201373 | \n1.5T, 3 | \n72 | \nClosed | \n
| Leiden 1 | \n10 (10, 0) | \n21\u201327 | \n3T, 2.18 | \n215 | \nClosed | \n
| Leiden 2 | \n11 (5, 6) | \n21\u201328 | \n3T, 2.2 | \n215 | \nClosed | \n
| Recording center | \nSubjects (male, + female) | \nAge (years) | \nScanner, + TR (s) | \nTime points | \nEyes | \n
| Kyoto | \n234 (141, 93) | \n18\u201378 | \n3T, 2.5 | \n240 | \nOpen | \n
| ATR | \n108 (88, 20) | \n20\u201330 | \n3T, 2.5 | \n240 | \nOpen | \n
| Osaka | \n29 (21, 8) | \n29\u201373 | \n3T, 2.5 | \n240 | \nOpen | \n
| SWA | \n101 (86, 15) | \n19\u201355 | \n3T, 2.5 | \n244 | \nOpen | \n
| Hiroshima | \n237 (87, 150) | \n20\u201379 | \n3T, 2 | \n143 | \nOpen | \n
| Recording center | \nSubjects (male, female) | \nAge (years) | \nScanner, TR (s) | \nTime points | \nEyes | \n
| camCAN | \n652 (322, 330) | \n18\u201388 | \n3T, 1.97 | \n261 | \nClosed | \n
The
+ rsfMRI data from N = 709 subjects (286 female) spanning ages 18\u201379 years
+ in the Japanese Strategic Research Program for the Promotion of Brain Science
+ (SRPBS) project [
Lastly,
+ we used rsfMRI data that was collected at one recording center as part of
+ the Cambridge Centre for Aging and Neuroscience (CamCAN) study [
With the 1000FCP dataset, the functional
+ images were preprocessed in [
The
+ preprocessing of the SRPBS rsfMRI data are detailed in [
The
+ camCAN preprocessing of the rsfMRI data was performed and is detailed in [
To measure FC, PCC values were evaluated between
+ the time courses for all pairs of ROIs of a participant. Each recording consisted
+ of signals collected for 42, 140, and 808 ROIs for subjects in the 1000FCP,
+ SRPBS, and camCAN datasets, respectively. A simple calculation shows that
+ we have 861, 9730, and 326,028 unique PCC values to be used as features. The
+ features from each participant were used either as training or test data in
+ the ML analysis. We form two sets A and B, consisting of a younger age group
+ and an older age group for the scenarios considered in
In each case a machine is trained + on a young and aged cohort and asked to classify CPs of subjects with ages + that it has not previously encountered. For each scenario an illustration + contains possible hypotheses (H) for the trajectory of the predicted brain + ages in the respective interval. A) In interval 1 it is expected that the + percentage of brains classified as aged follow a monotonically increasing + trajectory among the chronological age range with the y-intercept being less + than 50%. B) The study of interval 2 investigates whether the CP of young + brains provide information about the CP of aged brains. C) Interval 3 is intended + to investigate whether CP differences among aged brains can be used to infer + aging dynamics of younger brains.
\nThe above steps are depicted in the pipeline
+ of
The sets A and B refer to the young and + aged groups of the different scenarios that are considered when testing on + subjects of interval 1, 2, and 3. An SVM is trained on 2m data points, asked + to classify k residue data points from either the aged or young group, and + classify the age phenotype of the subjects in interval 1, 2, or 3.
\nIt is natural
+ to assume that a brain will possess characteristics that are more similar
+ to brains close to its age than those of increasingly disparate age groups.
+ A test of this notion is to present a trained machine with recordings across
+ a spectrum of ages that it has not previously seen. The three scenarios in
+
The prospective hypotheses are less conspicuous for interval
+ 2. It is conceivable that older subjects exhibit CPs that follow an increasing
+ trajectory away from younger brains that have been bifurcated into a younger
+ (i.e., aged) and youngest (i.e., young) groups. This possibility is reflected
+ by the two increasing lines labeled H1 and H2 in
Interval 3 in
The
+ pairwise PCC values were used as the features for the ML analysis and to assess
+ the connectivity among brain regions. For each subject the number of connections
+ that exceeded the threshold |\u03C1 = 0.6| were totaled and referred to as
+ the FC for the subject. The value of 0.6 has been motivated in works such
+ as [
The 1000FCP dataset consists of recordings from 17 centers,
+ and thus warrants scrutiny of potential site effects. The NKI-Rockland (NKI-RS)
+ center contains approximately 34% of the subjects in the 1000FCP. This number
+ is significant when considering the next largest participant pool (i.e. Beijing)
+ contributes approximately 13%. NKI-RS also contains the largest spread of
+ subjects\u2019 chronological ages (
In
+ considering the 1000FCP data, the scenario in
The histograms show the number of subjects classified + as young and aged at every considered age. A 5-year sliding window was applied + and a linear regression was fit to the results with intercept \u03B20 + and slope \u03B21. A machine was trained on the youngest and oldest + groups and presented with test data of intermediate-aged subjects. For 1000FCP + we have \u03B20 = 31.58, \u03B21 = 0.952. The Spearman + correlation of 0.7 computed among the percentages of subjects classified as + aged and the ages indicates a moderate degree of monotonicity between the + two quantities. With SRPBS, \u03B20 = 7.285, \u03B21 + = 2.696, and a Spearman correlation of 0.948 demonstrates a high degree of + monotonicity between the two quantities. A consideration of camCAN leads to + \u03B20 = 0 and \u03B21 = 2.234. The Spearman correlation + of 0.986 signifies monotonicity between the two quantities. For NKI-RS subjects + we note \u03B20 = 39.74, \u03B21 = 0.877, and the Spearman + correlation of 0.608 reflects monotonicity.
\nFor the SRPBS subjects, a machine is trained
+ on 72 subjects randomly selected from the 18\u201330 age group and the 72
+ in the 61+ group. The test set consists of 565 subjects, 255 of which are
+ residual from the 18\u201330 year old (y.o.) range. The machine classified
+ 247 of the residual recordings as young leading to AR = 0.968 and vindicating
+ the machine efficacy. The histograms in
Considering
+ the 1000FCP subjects, the ML pipeline is applied with the partition in
The histograms show the number of subjects classified + as young and aged at every considered age. A 5-year sliding window was applied + and a linear regression was fit to the results with intercept \u03B20 + and slope \u03B21. A machine was trained on the two youngest groups + of subjects and then asked to classify older recordings. For 1000FCP we attain + \u03B20 = 71.4 and \u03B21 = -0.147 indicating little + change in the classification of increasingly older brains as aged. Furthermore, + a Spearman correlation of -0.243 reflects a non-monotonic relationship. With + the SRPBS subjects \u03B20 = 82.159 and \u03B21 = 0.1 + suggest little change in the classification of increasingly older brains as + aged. The Spearman correlation of 0.149 reflects a non-monotonic relationship + among the ages and the percentage classified as aged. For camCAN we attain + \u03B20 = 77.48, \u03B21 = 0.329 demonstrating little + change in the classification of increasingly older brains as aged. The Spearman + correlation of 0.74 reflects a moderately monotonic relationship among the + subjects\u2019 ages and the percentage classified as aged. The consideration + of NKI-RS subjects of interval 2 leads to \u03B20 = 65.48, \u03B21 + = 0.453, and a Spearman correlation of 0.417. This indicates an increasing + relationship but little monotonicity.
\nApplying the analysis to the SRPBS dataset
+ involved a machine trained on 126 subjects randomly selected from the 18\u201330
+ age group and 126 comprising the 31\u201340 group. The test set consisted
+ of the remaining 457 subjects. Of the 201 residual subjects from the 18\u201330
+ y.o. group, 146 were classified as young leading to AR = 0.726. In interval
+ 2 we attain intercept and slope values of \u03B20 = 82.159, \u03B21
+ = 0.1 indicating little change in the appearance of increasingly older brains
+ from the more proximal aged group. A Spearman correlation of 0.149 in
Through
+ the scenario depicted in
The histograms show the number of subjects classified + as young and aged at every considered age. A 5-year sliding window was applied + and a linear regression was fit to the results with intercept \u03B20 + and slope \u03B21. A machine was trained on the two oldest age + groups and received younger subject recordings as test data. With the 1000FCP + dataset, the values \u03B20 = 24.2, \u03B21 = 0.58, + and the Spearman correlation of 0.795 indicate a gradual increase and moderate + monotonicity. For SRPBS, \u03B20 = 3.11, \u03B21 = 0.788, + and the Spearman correlation of 0.853 demonstrates monotonicity in the number + of subjects classified as aged with increasing age. With camCAN, the values + \u03B20 = 32.52, \u03B21 = -0.205, and the Spearman + correlation of -0.448 indicate a gradual decrease and small degree of monotonicity. + The NKI-RS subjects of interval 3 provide \u03B20 = 45.12 and \u03B21 + = -0.176 to reflect a gradually decreasing relationship. The Spearman correlation + of -0.161 indicates an absence of monotonicity.
\nApplying the ML pipeline to the SRPBS
+ dataset, a machine is trained on 69 subjects in the 51\u201360 age group and
+ 69 subjects randomly selected from the 61+ group. The testing was performed
+ on the remaining 571 subjects. Of the 3 remaining subjects from the 61+ y.o.
+ group, 2 were correctly classified as aged (AR = 0.667). By applying the ML
+ pipeline of
In light of the ML analysis
+ providing predictions from measures of FC, we pursue a quantitative evaluation
+ of the FC and how it varies across the age spectrum. For the 1000FCP dataset,
+
A study of the change in FC for subjects + across decades from the A) 1000FCP, B) SRPBS, C) camCAN, and D) the NKI-RS + recording center. The mean FC was computed by averaging across subjects the + number of times that the Pearson CCs from the connectivity matrix exceeded + a threshold of |\u03C1| = 0.6. The bifurcation of the FC in positive and negative + (i.e. anticorrelations) directions is also shown. Two-sample t-tests are used + to assess the significance of the change in FC with the youngest age group + taken as the reference. A p-value of 0.05 is the threshold for statistical + significance in the pairwise comparisons between positive, negative, and total + FC values. The s.d. of the number of functional connections is illustrated + to study the inter-subject variability across the age spectrum.
\nWe examine the inter-subject variability
+ in FC with aging. In the case of 1000FCP, there is an increase in variability
+ among middle age to elder (61\u201370) subjects, and a reduction in FC variability
+ for the two oldest decades (
In considering the 1000FCP subjects, the results in
The mean and s.d. + of the number of connections are plotted separately for the male and female + subjects from the 1000FCP dataset. The mean FC was computed by averaging across + subjects the number of times the Pearson CCs from the connectivity matrix + exceeded a threshold of |\u03C1| = 0.6. The division of the FC in positive + and negative (i.e. anticorrelation) directions is also shown. Two-sample t-tests + are used to assess the significance of the change in FC with the youngest + age group taken as the reference. A p-value of 0.05 is the threshold for statistical + significance in the pairwise comparisons between positive, negative, and total + FC values. The s.d. of the number of FCs is shown to study the inter-subject + variability for each sex and age group.
\nThe mean and s.d. of + the number of connections are plotted separately for the male and female subjects + from the SRPBS dataset. The mean FC was computed by averaging across subjects + the number of times the Pearson CCs from the connectivity matrix exceeded + a threshold of |\u03C1| = 0.6. The division of the FC in positive and negative + (i.e. anticorrelation) directions is also shown. Two-sample t-tests are used + to assess the significance of the change in FC with the youngest age group + taken as the reference. A p-value of 0.05 is the threshold for statistical + significance in the pairwise comparisons between positive, negative, and total + FC values. The s.d. of the number of FCs is shown to study the inter-subject + variability for each sex and age group.
\nThe mean and s.d. of + the number of connections are plotted separately for the male and female subjects + from camCAN. The mean FC was computed by averaging across subjects the number + of times the Pearson CCs from the connectivity matrix exceeded a threshold + of |\u03C1| = 0.6. The division of the FC in positive and negative (i.e. anticorrelation) + directions is also shown. Two-sample t-tests are used to assess the significance + of the change in FC with the youngest age group taken as the reference. A + p-value of 0.05 is the threshold for statistical significance in the pairwise + comparisons between positive, negative, and total FC values. The s.d. of the + number of FCs is shown to study the inter-subject variability for each sex + and age group.
\nThe mean and s.d. + of the number of connections are plotted separately for the male and female + subjects from the NKI-RS recording center. The mean FC was computed by averaging + across subjects the number of times the Pearson CCs from the connectivity + matrix exceeded a threshold of |\u03C1| = 0.6. The division of the FC in positive + and negative (i.e. anticorrelation) directions is also shown. Two-sample t-tests + are used to assess the significance of the change in FC with the youngest + age group taken as the reference. A p-value of 0.05 is the threshold for statistical + significance in the pairwise comparisons between positive, negative, and total + FC values. The s.d. of the number of FCs is shown to study the inter-subject + variability for each sex and age group.
\nWe examine the inter-subject variability
+ in FC with aging separately among the sexes. A rising and precipitous fall
+ in variability is noted among both sexes for the 1000FCP subjects (
In
+ the course of healthy human aging, one may expect a monotonic relationship
+ with young brains having properties that are increasingly similar to aged
+ brains. The application of ML pipelines can aid in the discovery of fundamental
+ facets of brain aging including the role of sex. While our use of SVM was
+ motivated by prior works [
The analysis that accommodated a new question
+ of whether the CPs of young brains contain structure that is conserved among
+ progressively older brains (interval 2 of
The intercept (\u03B20) + and slope (\u03B21) attained via a linear fit to the percentage + of subjects classified as aged in intervals 1, 2, and 3 are included. The + Spearman CC and fitted parameters were used to determine the prominent hypothesis + among the possible brain aging trajectories.
| Interval | \nDataset | \nSize of training set | \nSize of test set | \nSpearman + CC | \nProminent hypothesis | \n||
|---|---|---|---|---|---|---|---|
| 1 | \n1000FCP | \n78 | \n390 | \n31.58 | \n0.952 | \n0.7 | \nH1 | \n
| 1 | \nSRPBS | \n144 | \n310 | \n7.285 | \n2.696 | \n0.948 | \nH1 | \n
| 1 | \ncamCAN | \n90 | \n528 | \n0 | \n2.234 | \n0.986 | \nH1 | \n
| 1 | \nNKI-RS | \n64 | \n210 | \n39.74 | \n0.877 | \n0.608 | \nH1 | \n
| 2 | \n1000FCP | \n170 | \n344 | \n71.4 | \n-0.147 | \n-0.243 | \nH3 | \n
| 2 | \nSRPBS | \n252 | \n256 | \n82.159 | \n0.1 | \n0.149 | \nH3 | \n
| 2 | \ncamCAN | \n158 | \n468 | \n77.48 | \n0.329 | \n0.74 | \nH1 | \n
| 2 | \nNKI-RS | \n54 | \n215 | \n65.48 | \n0.453 | \n0.417 | \nH3 | \n
| 3 | \n1000FCP | \n78 | \n781 | \n24.2 | \n0.58 | \n0.795 | \nH1 | \n
| 3 | \nSRPBS | \n138 | \n568 | \n3.11 | \n0.788 | \n0.853 | \nH1 | \n
| 3 | \ncamCAN | \n90 | \n490 | \n32.52 | \n-0.205 | \n-0.448 | \nH3 | \n
| 3 | \nNKI-RS | \n64 | \n230 | \n45.12 | \n-0.176 | \n-0.161 | \nH3 | \n
While
+ quantitative ML analysis of how brain connectivity dynamics are modulated
+ by aging is important, it is also necessary to be cognizant of the features
+ that are input to the predictive algorithm. The Pearson CC has been used as
+ a measure of the degree and direction of the relationship\u2013i.e. connectivity\u2013among
+ pairs of ROIs. This measure and its transformations are prevalent in rsfMRI
+ works that investigate the effects of aging on CPs. Drawing upon several recent
+ studies, in [
The BOLD fMRI signal has been processed to quantify + FC in assessing a large scale of phenotypes studied in resting and task-based + studies. Surprisingly, much less attention has been given to its inter-subject + variability. In this work the variability in FC was studied by computing the + s.d. at various decades. An inverted U-shape was noted in quantifying the + variability in two of the three datasets where the middle-aged-to-elder subjects\u2014i.e. + 51\u201360 y.o.\u2014showed the highest variability. The findings point toward + brain aging being a complex process where alterations in cohorts do not simply + increase, decrease, or remain constant across the decades of life. The peak + in variability during middle age presents intriguing possibilities as far + as peoples\u2019 lifestyle, occupation, and perhaps their personality being + the most different during that juncture. Interestingly, the peak occurred + at different junctures within the middle-to-elder range for male and female + subjects.
\nAnother largely neglected facet of connectivity-based fMRI + analysis is the consideration of anticorrelations. While we note that the + relative change of significant anticorrelations during aging generally follow + what was seen for the positive correlations, there were discrepancies. Perhaps + more importantly, including the negative correlations in a tally of the connectivity + changes does lead to altered or new findings. With the 1000FCP subjects, if + one was to restrict attention to the canonical positive connections, then + a significant decrease in connectivity would be seen between the two earliest + decades of the considered ages. However, incorporating the anticorrelations + into the total indicates that the change is not significant. Additionally, + for the 1000FCP data, the loss of FC in the male subjects for the 81+ y.o. + group was not deemed significant when accounting for only the positive correlations + (or the anticorrelations)\u2013yet, the aggregate account shows statistical + significance. A similar result occurred for the oldest group of male SRPBS + subjects. Namely, counting the standard (positive) correlations showed no + significant alteration in the number of functional connections, whereas the + inclusion of anticorrelations indicated that the FC of 71+ y.o. males is modulated + in comparison to the reference young group. This reveals that when assessing + FC, an aggregate connectivity measure should be considered rather than solely + positive correlations.
\nHuman and animal studies are increasingly becoming + cognizant of the differences between the sexes and performing separate analyses. + Thus, the attainment of trajectories of healthy brain aging in males and females + is important. Repeating the per-decade FC analysis for male and female subjects + provided several findings. First, the changes in connectivity with aging were + similar between males and females in the three datasets. Second, the modulation + in the dynamics were more pronounced (i.e. statistically significant) for + males. Such a result would be important to take into account when assessing + deviations from a baseline in a male versus a female. Perhaps most importantly, + the results reveal that the modulation in FC with age is not as prominent + when male and female subjects are considered separately rather than together. + This accentuates the prudence of separate sex analyses in age-related studies + across a population. The inter-subject variability in FC among the sexes also + yielded interesting results. Although the peak variabilities occurred at different + junctures in the age spectrum between males and females, they occurred in + the middle-to-elder range. This result, however, did not hold in one dataset + where the youngest group of males exhibited the largest variance. Such discrepancy + highlights the general difficulty in attaining consensus across datasets in + light of the brain being a nonlinear stochastic system while aging is a complex + process. It also warrants the requirement of further scrutiny via additional + datasets, methodologies, and computation.
\nThe datasets considered
+ in this work share similarities as well as differences. The 1000FCP subjects
+ spanned 17 centers necessitating an investigation of site effects. The monotonicity
+ and change in FC analyses were repeated on subjects from the NKI-RS center
+ to investigate if the trends noted with all subjects coincide with those seen
+ for the largest constituent center. Interval 1 results on the presence and
+ degree of monotonicity coincided with those attained for 1000FCP. The interval
+ 2 findings also agreed on the absence of a monotonic relationship. Contrarily,
+ the interval 3 conclusions were different because the NKI-RS analysis did
+ not reflect a monotonic relationship. Aside from possible site effects, such
+ deviation may be due to the single-site dataset providing a fewer number of
+ subjects in the ML training set as well as in the test set. The change in
+ FC analysis conducted on the NKI-RS subjects provided results that were very
+ similar to the aggregate results. In the constituent and the 1000FCP, there
+ was an increase in variability among middle age to elder subjects, and a reduction
+ in FC variability for the two oldest decades. The trends noted for the positive
+ and negative correlations also coincided. Furthermore, the sex differences
+ in FC that were observed in the NKI-RS subjects agreed with those of the collective
+ dataset. In summary, the results are suggestive of site effects not being
+ prominent in the results presented for the 1000FCP recordings. Nevertheless,
+ the use of harmonization techniques [
The
+ SRPBS and camCAN studies maintained a constant protocol with respect to all
+ subjects having their eyes open and closed, respectively, during the recordings.
+ This was not the case with the 1000FCP dataset (
The study of FC alterations
+ with aging was repeated with thresholds of |\u03C1 = 0.45| and |\u03C1 = 0.7|
+ for declaring connections (
The results + of the brain age monotonicity study for intervals 1, 2, and 3 without application + of a 5-year sliding window. To test for a trend, a linear regression was fit + to the data with the intercept \u03B20 and slope \u03B21. + A) For 1000FCP subjects, in interval 1 we have \u03B20 = 31.49, + \u03B21 = 0.971. The Spearman correlation of 0.549 computed among + the percentages of subjects classified as aged and the ages indicates a moderate + degree of monotonicity between the two quantities. In interval 2 we attain + \u03B20 = 70.94, \u03B21 = -0.108 indicating little + change in the classification of increasingly older brains as aged. The Spearman + correlation of -0.053 reflects a non-monotonic relationship among the ages + and the percentage of subjects classified as aged. For interval 3, the values + \u03B20 = 24.33, \u03B21 = 0.568, and the Spearman correlation + of 0.404 signifies a gradual increase and small degree of monotonicity. B) + When considering the SRPBS subjects, in interval 1 we have \u03B20 + = 6.647, \u03B21 = 2.749. The Spearman correlation of 0.818 computed + among the percentages of subjects classified as aged and the ages demonstrates + monotonicity between the two quantities. In interval 2 we attain \u03B20 + = 82.49, \u03B21 = 0.054 indicating little change in the classification + of increasingly older brains as aged. The Spearman correlation of 0.108 reflects + a non-monotonic relationship among the subjects\u2019 ages and the percentage + labeled as aged. For interval 3, the values \u03B20 = 3.48, \u03B21 + = 0.748, and the Spearman correlation of 0.544 indicates an increase and moderate + degree of monotonicity. C) For the camCAN dataset, in interval 1 we have \u03B20 + = 0, \u03B21 = 2.254. The Spearman correlation of 0.9027 computed + among the percentages of subjects classified as aged and the subject ages + signifies a high degree of monotonicity between the two quantities. In interval + 2 we attain \u03B20 = 76.42, \u03B21 = 0.3706 demonstrating + little change in the classification of increasingly older brains as aged. + The Spearman correlation of 0.386 reflects a non-monotonic relationship. For + interval 3, the values \u03B20 = 32.301, \u03B21 = -0.1968, + and the Spearman correlation of -0.118 indicate a gradual decrease and non-monotonicity + in the number of subjects classified as aged with increasing biological age. + D) With the NKI-RS subjects, in interval 1 we have \u03B20 = 39.71, + \u03B21 = 0.858. The Spearman correlation of 0.396 demonstrates + small to no monotonicity between the percentages of subjects classified as + aged and the ages. In interval 2 we attain \u03B20 = 64.78, \u03B21 + = 0.496 which indicates a gradual increase in the classification of increasingly + older brains as aged. The Spearman correlation of 0.371 reflects an absence + of monotonicity among the subjects\u2019 ages and the percentage labeled as + aged. For interval 3, the values \u03B20 = 45.75, \u03B21 + = -0.206, and the Spearman correlation of -0.112 indicates a non-monotonic + but decreasing relationship.
\n(TIFF)
\nThe
+ results of the brain age monotonicity and change in FC studies for subjects
+ in the 1000FCP dataset that had eyes open during rsfMRI recording. For the
+ monotonicity study, the histograms show the number of subjects classified
+ as young and aged at every considered age. A 5-year sliding window was applied
+ and a linear regression fit to the results with the intercept \u03B20
+ and slope \u03B21. A) The analysis consists of a machine trained
+ on the youngest and oldest groups and presented with test data of intermediate-aged
+ subjects. In interval 1 we have \u03B20 = 22.71, \u03B21
+ = 1.34. The Spearman correlation of 0.661 computed among the percentages of
+ subjects classified as aged and the ages indicates a moderate degree of monotonicity.
+ B) A machine was trained on the two youngest groups of subjects and then provided
+ with recordings from subjects 41+ y.o. (interval 2). The values \u03B20
+ = 54.2, \u03B21 = 0.76, and a Spearman correlation of 0.325 indicate
+ an absence of monotonicity. C) A machine was trained on subjects from the
+ two oldest age groups prior to being presented with the task of classifying
+ younger subjects (21\u201360 y.o.) in interval 3. The linear fit values \u03B20
+ = 34.32, \u03B21 = 0.25, and Spearman correlation of 0.047 signify
+ a non-monotonic relationship between chronological age and the percentage
+ of subjects classified as aged. D) The change in FC analysis consisted of
+ the mean FC computed by averaging across subjects the number of times that
+ the Pearson CCs from the connectivity matrix exceeded |
(TIFF)
\nA
+ study of the change in FC for subjects across decades from the A) 1000FCP,
+ B) SRPBS, and C) camCAN datasets. A threshold |
(TIFF)
\nA
+ study of the change in FC for subjects across decades from the A) 1000FCP,
+ B) SRPBS, and C) camCAN datasets. A threshold |
(TIFF)
\nA listing of the subjects from + the 1000FCP with eyes open (N = 543) or closed (N = 197) during the rsfMRI + recording.
\n(TIFF)
\nThe + author acknowledges Itamar Kahn and Noam Bosak for providing the 1000FCP data, + material and methods, as well as feedback on the manuscript. I also thank + Daniela Kaufer and Jack Gallant for valuable discussions.
\n