Abstract
Frailty is a clinical syndrome often present in older adults and characterized by a heightened vulnerability to stressors. The biological antecedents and etiology of frailty are unclear despite decades of research: frailty is associated with dysregulation in a wide range of physiological systems, but no specific cause has been identified. Here, we test predictions stemming from the hypothesis that there is no specific cause: that frailty is an emergent property arising from the complex systems dynamics of the broad loss of organismal homeostasis. Specifically, we use dysregulation of six physiological systems using the Mahalanobis distance approach in two cohorts of older adults to test the breadth, diffuseness, and nonlinearity of associations between frailty and system-specific dysregulation. We find clear support for the breadth of associations between frailty and physiological dysregulation: positive associations of all systems with frailty in at least some analyses. We find partial support for diffuseness: the number of systems or total amount of dysregulation is more important than the identity of the systems dysregulated, but results only partially replicate across cohorts. We find partial support for nonlinearity: trends are exponential but not always significantly so, and power is limited for groups with very high levels of dysregulation. Overall, results are consistent with—but not definitive proof of—frailty as an emergent property of complex systems dynamics. Substantial work remains to understand how frailty relates to underlying physiological dynamics across systems.
Keywords: Aging, Complexity, Homeostasis, Phenotypic frailty, Physiological dysregulation, Resilience
Introduction
Frailty is a distinct medical geriatric syndrome defined by the presence of three or more of the following criteria: unintentional weight loss, low physical activity, slowed motor performance, low energy, or low strength (Fried et al. 2001a). Studies have shown that frailty is associated with multiple adverse health problems and significantly increases risk of falls, institutionalization, disability, and mortality (Fried et al. 2001a; Clegg et al. 2013). The etiology of frailty is still, however, not clear. (Here, we discuss phenotypic frailty Fried et al. 2001a rather than the frailty index Rockwood et al. 2005, which appear to be distinct phenomena.) Previous studies have suggested that dysregulation of circulating biomarkers could be involved in the development of frailty, and indeed, cohort studies have shown that levels of pro-inflammatory cytokines including interleukin-6, C-reactive protein and tumor necrosis factor-α are higher among frail older adults (Leng et al. 2002; Qu et al. 2009). High levels of other biomarkers such as neopterin, a biomarker of immune system activation, total white blood cell count, growth hormone, insulin-like growth factor-1, cortisol and vitamin D were also significantly associated with risk of having or developing frailty in community-dwelling older adults (Leng et al. 2007, 2009; Hubbard et al. 2008; Shardell et al. 2009). Taken together, these findings suggest a close relationship between underlying aging-related biological processes and the frailty syndrome. However, it is not yet clear whether biomarker changes cause frailty or whether frailty tends to co-occur with other aging-related conditions to cause changes in biomarkers levels.
Frailty has been conceived of as an emergent property of a broad underlying physiopathological state, a multi-system physiological dysregulation (PD) rather than a dysregulation of a single biomarker or even of a series of independent biomarkers (Fried et al. 2009, 2020). Under this view, frailty is not the product of a specific physiological or biochemical pathway, but rather emerges from the complex systems dynamics that maintain an organism in homeostasis. Loss of this homeostasis (dysregulation) is thought to occur progressively with age (Seplaki et al. 2005; Li et al. 2015; Cohen 2016), and frailty could be the emergent manifestation of the end-stage loss of homeostatic resilience and the accompanying decline in ability to respond successfully to stressors (Nakazato et al. 2020; Olde Rikkert et al. 2016; Gijzel et al. 2017). This conception of frailty makes a number of predictions, few of which have been rigorously tested and replicated. Notably but not exhaustively, frailty should (a) reflect a broad loss of biological resilience (not just loss of resilience to one or several types of stressors); (b) emerge from compromised network dynamics implying dysregulation of multiple physiological systems; (c) present a series of coherent clinical signs and symptoms even when the underlying physiological mechanisms are diverse, differing from one individual to another; and (d) have a non-linear relationship with its physiological antecedents/causes, emerging rather abruptly as a certain threshold of underlying dysregulation is achieved.
This framework was previously investigated by Fried et al. (2009). Using one or two biomarkers per system and a priori clinical knowledge to calculate dysregulation in a cohort of women aged 70–79 years, results of this study showed, first, a non-linear and positive relationship between the number of abnormalities in physiological systems (e.g. blood, endocrine, inflammatory, metabolic, motor) and risk of frailty). Second, older women with three or more divergent systems were more likely to be frail, with increasing odds of frailty with increasing number of abnormal systems, even after controlling for individual system, number of chronic diseases, and chronological age (Fried et al. 2009). Here, we tested the last three propositions [i.e., (b), (c), and (d) above], the breadth, diffuseness, and non-linearity of the physiological antecedents of frailty.
Recently, we developed and validated, in different species and human populations, a novel and rigorous approach to measure PD based on the Mahalanobis statistical distance (Cohen et al. 2013, 2014, 2015a; Milot et al. 2014; Li et al. 2015; Dansereau et al. 2019). Our previous results showed that dysregulation of 37 biomarkers, grouped into 6 standard physiological systems, significantly increases with age and predicts multiple adverse health outcomes including cardiovascular diseases, frailty, and mortality (Li et al. 2015). Crucially, the dysregulation levels of these systems are only very weakly correlated with each other after controlling for age, implying that dysregulation proceeds nearly independently in each system.
Here, we aimed to replicate the findings of Fried et al. (2009), with two key differences. First, we are using a different list of physiological systems, that derived based on the Mahalanobis distance approach, and thus agnostic to physiological theory about what systems might drive frailty. This difference is crucial because it allows us to assess whether the specific choice of systems is necessary, or whether frailty might be seen as emerging from a more general “lake” of physiological data. Second, in addition to using the Women’s Health and Aging Study (WHAS), we also use the Quebec Longitudinal Study on Nutrition and Successful Aging (NuAge) study to provide cross-population validation. We tested three main hypotheses. First, we hypothesized that parallel dysregulation of multiple physiological systems drives the development of frailty (breadth of frailty’s physiological antecedents). We predicted that frailty risk would increase with higher physiological dysregulation in all or most systems, and this would be true of the individual frailty criteria as well (minimal specificity between dysregulation systems and frailty criteria). Second, we hypothesized that frailty would not depend on which systems were dysregulated as much as how many systems were dysregulated (diffuseness). Third, we hypothesized that frailty would be non-linearly associated with dysregulation levels (non-linearity). If frailty is an emergent property of a dysregulated complex system, frailty risk should not increase linearly with PD level; rather, there should be an exponential relationship or a threshold effect. The relationship between frailty risk and PD should be nonlinear, with a sharp increase of frailty risk at a given number of dysregulated systems. For this hypothesis, we made predictions on two levels. First, within each system, discriminatory power to diagnose/predict frailty should increase with higher levels of dysregulation. Second, frailty risk should increase non-linearly as a function of the number of systems dysregulated. Together these predictions will help test the broader hypothesis that systems become increasingly dysregulated with aging, and that it is the critical mass of dysregulated systems that drives the development of frailty.
Methods
Study populations
We used data from WHAS I and II, and from the NuAge study. WHAS sampling and data collection procedures have been described in detail elsewhere (Simonsick et al. 1997; Fried et al. 2001b). Briefly, WHAS I and II are two studies which investigated health and physical functioning in community-dwelling older women aged 65 years and older. Women from WHAS I represent the one-third most disabled older women living in the community, and selection criteria included a Mini-Mental State Examination (MMSE) score of greater than 18 and difficulty in two or more of the following functional domains: mobility, upper extremity, household management tasks, and self-care tasks. On the other hand, women from WHAS II had either no difficulty or difficulty in only one functional domain, and MMSE scores of 24 or greater.
The NuAge cohort consists of 1793 mostly Caucasian community-dwelling men and women assessed as being in good general health at recruitment and having between 68 and 82 years (Gaudreau et al. 2007). Participants were selected via a sex- and age-stratified random sample from a population-wide health insurance list, and were included if they were free of disabilities in activities of daily living, had no cognitive impairment (modified MMSE score > 79), and were able to walk one block or to climb one flight of stairs without rest. Participants were re-examined annually for 3 years. In our analysis we considered a total of 1754 (97.8%) participants who agreed to the integration of their data and biological samples into a research bank, regrouping the NuAge Databank and Biobank.
Biomarker selection
Biomarkers were selected based on availability and adequate sample sizes. A total of 33 biomarkers in WHAS and 28 in NuAge, grouped into respectively 6 and 5 previously validated physiological systems (Li et al. 2015), were used to calculate PD, globally and per system (Table S1). Due to differences in availability of biomarkers across datasets, the precise choice of biomarkers included in some systems varies slightly (e.g. oxygen transport and micronutrients). However, our previous work has shown that PD produces a robust signal independent of precise biomarker composition (Cohen et al. 2015a). Sample sizes also varied across systems due to differences in biomarker availability (Table S2). As mentioned above, we used the full list of PD systems previously validated, regardless of hypotheses that might be made linking individual systems to frailty.
After excluding individuals having missing data in biomarkers and measures of functioning, for NuAge, the sample size was highly variable across systems (Table S2). This difference in sample size is due to a more extensive serum biomarker analysis conducted in 2016 on a subsample of ~ 750 individuals that were selected at random among 904 of the 1754 participants who met the following criteria: (1) the individual needed to have blood sampling conducted without any missing intermediate visits; (2) the individual needed at least two visits with blood samples; and (3) there had to be a sufficient number of stored aliquots at all visits to analyze the selected biomarkers.
Laboratory assessment of biomarkers from non-fasting blood samples in WHAS have been described elsewhere (Mielke et al. 2008; Semba et al. 2010). In NuAge, biomarkers were analyzed in clinical laboratories using standardized and well-established methods from venous blood samples drawn after an overnight fast (Biron, Inc. Medical Laboratoires, Brossard, QC; Centre Hospitalier de l’Université de Sherbrooke; Centre Hospitalier de l’Université de Montréal). Tocopherols and β-carotene were analyzed following the protocol described by Khalil et al. (2011).
Calculation of physiological dysregulation
PD was calculated by system and globally using all biomarkers for each participant at each time point, separately for each dataset (or subset, e.g. men and women). Briefly, PD measures how aberrant or unusual an individual’s biomarker profile is compared to a reference population, and was calculated using the Mahalanobis distance “DM” based on the following formula:
where x is the vector of biomarker values for an individual, μ is the equal-length vector of reference population means for each biomarker and S is the reference population variance–covariance matrix for the biomarkers (Mahalanobis 1936). Here, our reference population was comprised of one visit per individual, randomly selected for each participant. Numerous previous studies have shown that a high PD score indicates a worse biomarker profile and higher risk of adverse outcomes in diverse populations (Kraft et al. 2020; Cohen et al. 2014; Arbeev et al. 2016; Belsky et al. 2018). All biomarkers were first log- or square-root-transformed as needed to approach normality (see Table S1 for details) and then were standardized (centered at the mean of the reference population and divided by the standard deviation of the reference population). Presence or absence of dysregulation in each system was dichotomized for some analyses by considering dysregulation to be present if the system score was above the 75th percentile for the respective dataset.
Frailty phenotype
Fried’s frailty criteria were used to identify the frailty phenotype, adapted to each respective dataset (Table S3). The presence of three or more of these criteria indicates clinical frailty syndrome and one to two criteria indicates a pre-frail state. Those meeting none of the criteria were considered as non-frail (Fried et al. 2001a). When individuals had missing values for some criteria (up to four criteria in some few cases, 0.4% in WHAS and 0.05% in NuAge), we used the sum of available criteria to define the frailty phenotype. Correcting for missing criteria, i.e. dividing the sum by the number of available criteria yielded qualitatively similar results (data not shown).
Statistical analysis
Continuous data are presented as mean ± SD. Age was calculated to the nearest day at each visit. PD scores were natural log transformed (except when specified otherwise) and also centered to zero, and standardized to one standard deviation. All analyses were performed using R versions 3.5.0 and 4.0.0, with additional packages “lme4” v1.1-23 (Bates et al. 2015), “survey” v4.0 (Lumley et al. 2020), “ordinal” v2019.12-10 (Christensen 2019), “splines” v4.0.0 (Bates and Venables 2009), and “factoextra” v1.0.7 (Kassambara and Mundt 2020). We do not conduct formal significance tests (i.e., we do not subscribe to the frequentist hypothesis testing framework) (Leek et al. 2017), but we informally refer to results as “significant” when p < 0.05 for ease of discussing trends across large numbers of analyses. Both datasets contained multiple datapoints per individual; we thus controlled for individual with a random effect in mixed effects models. To perform analyses on WHAS I and WHAS I and II combined, we included inverse probability weights using the “survey” package in R, and accordingly limited observations to where age distributions overlapped. We present some stratified analyses in the Supplement, but encourage caution in their interpretation, as the sampling for each separate cohort was based on health state and is thus strongly associated with frailty. In the Supplement, we also present analyses stratified by sex in NuAge, notably to compare women from the NuAge cohort to those from WHAS; however, the smaller sample size in these stratified analyses diminishes our statistical power.
Biomarker profiles according to frailty phenotype
To assess how frail individuals’ biomarker profiles deviate compared to pre-frail and non-frail, principal component analyses (PCAs) was performed on the full set of biomarkers for each physiological system using svyprcomp function (survey package) for WHAS I and II combined and prcomp function for all other analyses. The first and second axes that explained the most variance in all the biomarkers were plotted using the PCA-biplot by frailty phenotypes. Results are presented with 95% ellipse to show individuals’ dispersion for each frailty phenotype.
Association between physiological dysregulation level and frailty risk
First, to assess the association between frailty phenotype and PD score, we performed logistic regression models predicting frailty with PD as a fixed effect and both pre-frail and non-frail phenotypes included in the reference group. We also assessed frailty risk as a function of PD with proportional odds models using all three categories, i.e. non-frail, pre-frail, and frail (clm and clmm functions, ordinal package, or svyolr function, survey package). Relationships between PD score and total number of frailty criteria were assessed using Poisson regression models. Lastly, we used logistic regression to assess relationships between individual frailty criteria and PD scores. All models controlled for age using a cubic spline (bs function, fda/splines packages) and included the individual as a random effect when longitudinal measures were available. Sex was controlled for in analyses on NuAge.
Associations between frailty and number of dysregulated systems
We used two different approaches to assess the association between the number of dysregulated systems and frailty risk. First, using the 75th percentile as mentioned above, we assigned each observation a number of dysregulated systems, excluding global PD (0–6 in WHAS and 0–5 in NuAge). Second, we used the sum of dysregulation across all systems (excluding global PD), weighted by the inverse of the number of biomarkers included in each system to ensure equal weight for each system. Each “additive” measure (i.e. the number of dysregulated systems and the PD sum across all systems) was plotted against frailty phenotypes to assess visually the association between the two. Finally, we ran logistic and proportional odds models to assess frailty risk associated with each measure, controlling for individual dysregulated systems (coded as dummy variables) and for age as a cubic spline. This model reciprocally assessed whether the presence of any individual dysregulated system increased risk of frailty net of the number of systems, and whether the number of systems predicted frailty net of the identity of the systems. Because there are very few frail individuals in the NuAge cohort (3.8% of observations), we combined pre-frail with frail to increase our statistical power, whereas pre-frail was combined with non-frail in WHAS for the logistic regressions.
Assessment of nonlinearity
We assessed nonlinearity of associations between frailty and PD in several ways. First, visually. Second, by modelling frailty risk with logistic regression models as a quadratic function of dysregulation in each system. Third, we used linear regression with the sum of dysregulation scores across systems, using three different models: (1) with frailty as an unordered categorical variable (non-frail, pre-frail, frail; this model does not test for nonlinearity); (2) with frailty as a numeric variable with three levels (0, 1, and 2 respectively) and with a quadratic term; (3) with frailty as a numeric variable (0, 1, and 2), and with an additional categorical variable to distinguish frail from pre-frail and non-frail. This last model assesses the additional increase in dysregulation with frailty status, compared to what would be expected if the effect were linear across frailty statuses.
Results
Demographic characteristics of our populations are shown in Table 1. Note the small numbers of frail individuals in WHAS II and in NuAge, particularly sex-stratified. Based on these results, we decided to present results for NuAge combined but not stratified by sex in the main text, with stratified analyses in the Supplement along with the two separate WHAS cohorts. For the same reason, while we prefer to group prefrail with non-frail in dichotomizing, for some subgroup analyses we have put prefrail with frail to increase statistical power.
Table 1.
WHAS |
NuAge |
|||||
---|---|---|---|---|---|---|
I (n = 766) |
II (n = 428) |
I + II (n = 754) |
All (n = 1745) |
Men (n = 835) |
Women (n = 910) |
|
Age (years) | ||||||
Mean ± SD | 78.5 ± 7.9 | 74.7 ± 2.9 | 74.9 ± 2.9 | 75.6 ± 4.3 | 75.5 ± 4.2 | 75.7 ± 4.3 |
Min–max | 65.8–100.2 | 70.2–82.5 | 70.1–82.5 | 68.1–86.2 | 68.4–84.9 | 68.1–86.2 |
Frailty phenotype | ||||||
Non-frail | 97 (12.7) | 261 (61.0) | 312 (41.8) | 903 (51.7) | 457 (54.7) | 446 (49.0) |
Pre-frail | 460 (60.1) | 156 (36.4) | 369 (48.9) | 775 (44.4) | 352 (42.2) | 423 (46.5) |
Frail | 209 (27.3) | 11 (2.6) | 73 (9.7) | 67 (3.8) | 26 (3.1) | 41 (4.5) |
Frailty criteria | ||||||
Weight loss | 153 (22.3)a | 37 (8.8) | 87 (12.2)b | 314 (18.1) | 117 (14.1)c | 197 (21.7) |
Exhaustion | 176 (23.0)a | 33 (7.7) | 101 (13.4) | 284 (16.3) | 133 (16.0) | 151 (16.6) |
Low-PAL | 257 (38.4)a | 50 (11.8) | 150 (21.0)b | 270 (15.5) | 138 (16.6) | 132 (14.5) |
Slowness | 506 (67.5)a | 52 (12.4) | 248 (33.6)b | 70 (4.0) | 17 (2.0)c | 53 (5.9) |
Weakness | 328 (46.1)a | 44 (10.4) | 153 (20.9)b | 245 (14.1) | 120 (14.4) | 125 (13.8) |
PAL physical activity level
Significantly different from WHAS II (at α = 0.05)
Significantly different from NuAge (All; at α = 0.05)
Significantly different from women in NuAge (at α = 0.05)
Physiological dysregulation level according to frailty phenotypes
Overall, frail individuals displayed higher PD levels compared to pre-frail and non-frail, globally and for most systems, in both datasets (Fig. 1; Fig. S1). Significance levels varied, but at least one comparison was significant for most systems. Mean absolute differences between nonfrail and frail were generally around 0.3–0.4 PD units, which is neither tiny nor huge. Results were qualitatively similar in regression models adjusting for age (Fig. 2; Fig. S2): trends were almost universally toward higher PD levels predicting frailty, and effects were often but not always significant. Magnitudes of effects were relatively similar across systems, though the oxygen transport system tended to have slightly stronger effects, and the lipid system weaker effects. This was replicated with three types of regression: logistic with non-frail and prefrail pooled as the reference category (Fig. 2a); ordinal (Fig. 2b); and using the number of frailty criteria in a Poisson regression (Fig. 2c).
Association between physiological dysregulation and risk of individual frailty criteria
As expected, individual frailty criteria replicated the findings for global frailty, though more weakly (Fig. 3; Fig. S3). For most criteria, there was a trend toward greater prevalence with increasing dysregulation levels in the vast majority of analyses (dataset–system combinations), though significance levels varied. The exception was weakness, where there was no evidence of a trend across analyses and no analyses were significant. Overall, there were no dysregulation system–frailty criterion pairs that showed substantially stronger or weaker associations than the others, in the sense that confidence intervals were largely overlapping and any apparent differences in one dataset tended not to be replicated in the other.
Linearity of associations between frailty and physiological dysregulation
Frailty status increased with the total cross-system PD, as represented by a weighted sum (Fig. 4a; Fig. S4a). In both WHAS (I and II) and NuAge, the difference between frail and pre-frail was greater than between pre-frail and non-frail, suggesting accelerating frailty status with increasing PD, despite having already log-transformed the PD sum. Nonetheless, this nonlinearity was not statistically significant (Table S4); formal tests for non-linearity require greater statistical power, which is challenging with a small number of frail individuals. Likewise, the percent of frail individuals increased with number of dysregulated systems, and the percent of non-frail decreased (Fig. 4b; Fig. S4b, c). This was true for both datasets, though more markedly so for WHAS. NuAge was underpowered to look at frailty by number of systems, so we included pre-frail with frail in this case. Figure S5 represents this differently, with all three frailty categories separated. Additionally, we tested for nonlinearity in individual physiological systems as their ability to predict frailty status in quadratic logistic regression models (Table S5). No significant quadratic effects were found in the full datasets.
Association between the number of dysregulated physiological systems and risk of frailty
Independently of age, the risk to be frail significantly increased with the number of dysregulated physiological systems in both datasets (Fig. 5a grouping pre-frail with non-frail, Fig. S6a grouping pre-frail with frail; see also Fig. S7). There was a close relationship between the number of dysregulated systems and the increased risk of frailty, that was clearly replicated across datasets and different ways to group the number of systems.
In WHAS, none of the individual systems significantly predicted frailty status after controlling for the number of systems, either relative to non-frail + pre-frail (Fig. 5b), or stepwise in an ordinal regression (Fig. 5c). However, the number of systems did significantly predict frailty status, and these effects actually grew stronger, though with larger confidence intervals, after controlling for which systems were dysregulated (Fig. 5; Fig. S6). On the other hand, the continuous cross-system measure of PD, PD sum, was not significant after control for which systems were dysregulated in WHAS. NuAge showed the opposite pattern (Fig. 5; Fig. S6): lipid and global dysregulation were significant after control for number of systems, but number of systems was not a significant predictor of frailty. In contrast, the PD sum measure was the best predictor of frailty status, even after control for the individual systems. Note, however, that confidence intervals overlap between the datasets, so this discrepancy is not necessarily an indication of qualitative differences.
Biomarker profiles by frailty phenotype
We plotted PCA biplots of biomarkers by system, color-coded by frailty phenotype (Figs. S8, S9, S10). Overall, frail individuals had greater dispersion around the centroid, although this effect was smaller in WHAS II (Fig. S9) and for some physiological systems (e.g. leukopoiesis, Figs. S8, S9, S10), suggesting greater biomarker dysregulation, compared to pre-fail and non-frail. In some cases, this was simply greater dispersion, whereas in others the dispersion was directed toward a certain profile. For example, for oxygen transport biomarkers, frail individuals displayed lower values of hemoglobin, hematocrit and iron, reflecting anemia. For lipid biomarkers, frail individuals had lower HDL-C levels and higher triglyceride levels and cholesterol–HDL-C ratios compared to non-frail. The dispersion patterns in the oxygen transport and lipid systems were highly similar across datasets (WHAS I, WHAS II, and NuAge). Overall, results were highly consistent across systems, suggesting that frail individuals had different biomarker profiles compared to pre-frail and non-frail. However, there was still marked overlap between the frail, pre-frail, and non-frail individuals, indicating that there is no clear or universal biomarker signature of frailty among the measured biomarkers.
Discussion
Here, we tested a series of predictions that frailty is an emergent property of complex systems dynamics and breakdown in homeostasis of multiple physiological systems with age, namely breadth (frailty is associated with dysregulation of a wide variety of systems), diffuseness (frailty is associated with a variety of dysregulation profiles), with no specific system being necessary; analogous to distributed control in engineered systems (Guan et al. 2010), and nonlinearity (frailty emerges via a threshold effect, or risk accelerates with increasing cross-system dysregulation). Our results broadly but not universally supported these predictions.
Evidence for breadth was quite strong, with both datasets showing relatively similar effects of different systems on frailty risk, and no individual systems seeming particularly important. These results, using a data-driven rather than theory-driven set of systems and an additional dataset, replicate the study of Fried et al. (2009), which analyzed eight systems identified via abnormal biomarker levels in WHAS. They found no system that alone had a predictive value for frailty greater than 3.6-fold. Likewise, Li et al. (2015) found that five of six systems significantly predicted number of frailty criteria in at least one of two datasets (WHAS or InCHIANTI), but with no system markedly better than others. Lastly, Cappola et al. (2009) also found that three anabolic hormonal deficiencies had relatively similar augmented prevalences among frail individuals. More broadly, frailty has been associated with changes in a wide range of physiological systems (e.g. heart rate variability changes Varadhan et al. 2009, oxidative stress El Assar et al. 2020, changes in energy metabolism hormones Kalyani et al. 2012, inflammation Soysal et al. 2016 and inflamm-aging Bandeen-Roche et al. 2009; Morrisette-Thomas et al. 2014, cortisol cycles Varadhan et al. 2008, integrated albunemia Cohen et al. 2015b, glucose/insulin signaling Kalyani et al. 2012, and skeletal muscle ATP kinetics Akki et al. 2014).
Evidence for diffuseness is more nuanced. In no case were the odds ratios for a single system to predict frailty phenomenally high (e.g. > 10) as would be expected if a single system were key; such strong predictions only emerge when looking jointly at the number of systems, as we show here or in Fried et al. (2009). Strong predictions of frailty by number of dysregulated systems with no residual effects of which systems were dysregulated would also provide clear evidence of diffuseness. This was the case in WHAS, with the minor nuance that one adjusted model was not quite statistically significant, even though the effect size increased from the significant unadjusted model. However, the sum of dysregulation was not associated with frailty risk after adjustment for which systems were dysregulated. Conversely, in NuAge, most but not all systems failed to predict frailty after adjustment for number of systems, but number of systems also failed to predict frailty, and only the sum of PD was predictive. We believe the most likely explanation for this discrepancy is the more general difficulty of replicating subtle effects without overwhelming statistical power, particularly in this context of NuAge being healthier, and with slightly different definitions of frailty criteria (Table S3). There was not a qualitative difference between results from the two datasets (confidence intervals overlapping). To our knowledge, the only evidence of diffuseness in the literature is from Fried et al. (2009), who showed that number of dysregulated systems remained significant after adjustment for which systems, and only one of eight systems remained significant after adjusting for the number.
Evidence for nonlinearity was also ambiguous, largely due to limited sample size of frail individuals and individuals with many systems dysregulated. Individual systems did not mostly show significant nonlinear associations with frailty risk. There was a clear trend for acceleration of frailty risk with greater sum of PD in both datasets, though this was not significant. For the number of systems, the trend is visually nonlinear in WHAS, both for the increase in frailty and the decrease in non-frail. For NuAge, the small sample sizes make it hard to discern. Fried et al. (2009) showed somewhat more convincing evidence for nonlinearity.
Our findings are broadly but not perfectly consistent with those of Fried et al. (2009). The major discrepancy is that Fried et al. (2009) provided clearer evidence of nonlinearity and diffuseness. We note, however, that an apples-to-apples comparison (restricting ourselves to WHAS and to the number of systems rather than the PD sum measure), our findings do replicate Fried et al. (2009) in this separate set of systems. The cases where the broader replication fails are cases where our results are ambiguous (i.e., underpowered), rather than contradictory. We thus believe that these findings show that a similar systems model of frailty can be derived from quite distinct definitions of physiological systems, and that this is in fact one of the stronger arguments for viewing frailty as an emergent phenomenon of the complex systems dynamics.
Overall, our analyses thus show a mix of results supporting the predictions of frailty as an emergent property of multisystem dysregulation, and results where we are underpowered to draw conclusions one way or the other. This is exacerbated by measurement error, which is likely to be quite large for both frailty itself and for physiological dysregulation. This is particularly problematic for the criterion of nonlinearity: as measurement error of the two variables increases, a threshold effect will become a sigmoidal curve and subsequently a linear relationship. More generally, in many studies, the representation of frail individuals is relatively low, as is the representation of individuals with many systems dysregulated. Further confirmation from other studies will be required, or perhaps a meta-analysis that would increase power relative to individual studies while avoiding the problems that could arise from data harmonization.
Even if we were to accept that the current evidence were sufficient to prove breadth, diffuseness, and nonlinearity, how good would that evidence be for frailty as an emergent property of a complex system? On the one hand, it would be insufficient to rule out alternative hypotheses. For example, perhaps the various systems measured here and in other studies all show age-related and health-related deterioration. If frailty tends to correlate with health state in general, it would also correlate with a series of individual systems and indicators that correlate strongly with general health. Both breadth and diffuseness could easily be satisfied, and nonlinearity as well if patterns of health decline are broadly exponential. While we cannot rule out such an explanation, it would require that frailty have another cause. It is not impossible that some as-yet-undiscovered physiological pathway underlies frailty, or perhaps some pathway that no one has thought to analyze in this context. However, it seems unlikely that such a big gap in our knowledge of physiological changes with age would exist at this point. We consider such a scenario unlikely but not impossible.
On the other hand, the scenario presented here is not the only possibility for how frailty might emerge from complex systems dynamics. For example, frailty might be the result of a critical transition from a stable physiological state, or might itself be the critical transition to death (Nakazato et al. 2020; Gijzel et al. 2017). In order to distinguish between these possibilities, longitudinal data on a fine temporal scale will be required. Alternatively, frailty might represent a loss of redundancy in physiological networks leading to declining robustness (Gavrilov and Gavrilova 2004; Kitano 2004; Nijhout et al. 2017), or might actually represent an adaptation to other changing conditions (Cohen et al. 2020; Le Couteur and Simpson 2011). Nearly all of the evidence presented here—both from this study and the literature—is cross-sectional, making it hard to disentangle such possibilities, which are not mutually exclusive.
In addition to the important caveats above, we add a few other limitations. First, the six systems measured here are a small fraction of the systems that might be measured, and were not chosen based on any a priori reason to expect them to be associated strongly with frailty. We note, however, the strong concordance between our results and those of Fried et al. (2009), with two very difference sets of systems. Second, the systems here are limited to those that can be measured through circulating clinical biomarkers, and may not be representative of other organs and tissues. Third, we are using the phenotypic definition of frailty, which is somewhat hard to standardize across studies due to differing measurement instruments and percentile cutoffs (Theou et al. 2015). Accordingly, the comparison between NuAge and WHAS is imprecise. Fourth, for the prediction of nonlinearity, it is difficult to distinguish a prediction between a sigmoidal relationship (likely if there is an underlying physiological threshold beyond which frailty is reached) and an exponential relationship (frailty risk increases indefinitely as dysregulation increases). Empirically, if the threshold is toward the upper range of physiological dysregulation observed and is slightly variable, the two scenarios may be indistinguishable. We note that if we were able to detect a true threshold effect, we should expect 100% prevalence beyond the threshold. Fifth, some of the biomarkers, notably lipids and micronutrients, can be influenced by medication (e.g. statins) and nutritional supplements.
Despite these caveats, this study contributes to a growing body of literature suggesting that phenotypic frailty is an emergent property of the complex systems dynamics as physiological regulation breaks down toward the end of life. It is also consistent with the loosely related construct of the frailty index (Mitnitski et al. 2001; Rockwood et al. 2005). Phenotypic frailty and the frailty index, despite their names, describe distinct phenomena; nonetheless, the frailty index as well shows some properties of a complex system, and has been linked to network dynamics (Mitnitski et al. 2017; Rutenberg et al. 2018). One of the most interesting properties of the frailty index is that its predictive power is largely unrelated to the specific choice of deficits included in its calculation, providing excellent evidence for diffuseness (Rockwood et al. 2006), similar to properties of dysregulation indices as well (Cohen et al. 2015a). Future research should aim to increase power, either with larger studies or via meta-analysis, in order to confirm whether the diffuseness and nonlinearity are indeed generally present. It will also be critical to assess whether frailty is an outcome of a critical transition, i.e. an alternative stable state, or is itself the process of the critical transition toward death. In the former case, rates of change in underlying physiological indices should slow and stabilize during frailty; in the latter, they should increase. Fine scale time-series data will be necessary.
Lastly, it will be important to establish to what extent frailty is a global physio-pathological process. At this point, it seems increasingly unlikely that frailty is a highly local process (i.e., a product of one or two specific systems), but this does not imply that it is fully global. Are there some systems that do not change during frailty? Does the vulnerability to stressors apply uniformly to all types of stress, or to specific stressors? Given our current state of knowledge, frailty as an emergent state based on underlying physiological dynamics seems to be the most probable explanation, but many questions remain.
Supplementary Material
Funding
The NuAge cohort was supported by the Canadian Institutes of Health Research (CIHR) Grant #62842. The NuAge Database and Biobank are supported by the Fonds de recherche du Québec (FRQ) Grant #2020-VICO-279753, the Quebec Network for Research on Aging, a thematic network funded by the FRQ - Santé (FRQS) and by the Merck-Frosst Chair funded by La Fondation de l’Université de Sherbrooke. This work was supported by Canadian Institutes of Health Research (CIHR, Grant #153011). AAC is supported by a CIHR New Investigator Salary Award and an FRQS Senior Research Fellowship, and is a Member of the FRQS funded Centre de recherche du CHUS and Centre de recherche sur le vieillissement. NP is a Junior 1 Research Scholar of the FRQS.
Footnotes
Electronic supplementary material The online version of this article (https://doi.org/10.1007/s10522-020-09903-w) contains supplementary material, which is available to authorized users..
Conflict of interest AAC is Founder and CSO at Oken Health.
Consent for publication Not applicable.
Ethical approval Both studies were approved by their Local Ethics Committee, in terms of study protocol and consent procedure. The NuAge Database and Biobank and secondary analysis for this project were approved by the Comité d’ éthique de la recherche du CIUSSS de l’Estrie – CHUS (Projects 2019-2832 and 14-059, respectively).
Informed consent All participants recruited in both studies signed informed consent.
Contributor Information
Ahmed Ghachem, Research Center on Aging, CIUSSS-de-l’Estrie-CHUS, Sherbrooke, QC, Canada.
Linda P. Fried, Mailman School of Public Health and Columbia University Medical Center, New York, NY, USA
Véronique Legault, Groupe de recherche PRIMUS, Department of Family Medicine, University of Sherbrooke, Sherbrooke, QC, Canada.
Karen Bandeen-Roche, Department of Biostatistics and Center on Aging and Health, Bloomberg School of Public Health, The Johns Hopkins University, Baltimore, MD, USA.
Nancy Presse, Research Center on Aging, CIUSSS-de-l’Estrie-CHUS, Sherbrooke, QC, Canada; Centre de Recherche de l’Institut Universitaire de Gériatrie de Montréal (CRIUGM), Montreal, QC, Canada; Faculty of Medicine and Health Sciences, Université de Sherbrooke, Sherbrooke, QC, Canada.
Pierrette Gaudreau, Department of Medicine, Université de Montréal, Montreal, QC, Canada; Centre hospitalier de l’Université de Montréal Research Center, Montreal, QC, Canada.
Alan A. Cohen, Research Center on Aging, CIUSSS-de-l’Estrie-CHUS, Sherbrooke, QC, Canada; Groupe de recherche PRIMUS, Department of Family Medicine, University of Sherbrooke, Sherbrooke, QC, Canada.
Data availability
Due to confidentiality concerns, transfer and sharing of individual-level data used in this study require prior approval from the management committees of WHAS and NuAge. For this reason, raw data cannot be made publicly available. Data are however available from the WHAS and NuAge committees upon reasonable request.Code availability All code is available upon request.
References
- Akki A, Yang H, Gupta A et al. (2014) Skeletal muscle ATP kinetics are impaired in frail mice. Age (Omaha). 10.1007/s11357-013-9540-0 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Arbeev KG, Cohen AA, Arbeeva LS et al. (2016) Optimal versus realized trajectories of physiological dysregulation in aging and their relation to sex-specific mortality risk. Front Public Health. 10.3389/fpubh.2016.00003 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Bandeen-Roche K, Walston JD, Huang Y et al. (2009) Measuring systemic inflammatory regulation in older adults: evidence and utility. Rejuvenation Res 12:403–410 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Bates D, Mächler M, Bolker BM, Walker SC (2015) Fitting linear mixed-effects models using lme4. J Stat Softw 67:1–48. 10.18637/jss.v067.i01 [DOI] [Google Scholar]
- Bates DM, Venables WN (2009) splines-package: regression spline functions and classes [Google Scholar]
- Belsky DW, Moffitt TE, Cohen AA et al. (2018) Eleven telomere, epigenetic clock, and biomarker-composite quantifications of biological aging: do they measure the same thing? Am J Epidemiol. 10.1093/aje/kwx346 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Cappola AR, Xue QL, Fried LP (2009) Multiple hormonal deficiencies in anabolic hormones are found in frail older women: the women’s health and aging studies. J Gerontol A. 10.1093/gerona/gln026 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Christensen RHB (2019) Regression models for ordinal data. R package ordinal version 2019. 12–10 [Google Scholar]
- Clegg A, Young J, Iliffe S et al. (2013) Frailty in elderly people. Lancet 381:752–762. 10.1016/S0140-6736(12)62167-9 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Cohen AA (2016) Complex systems dynamics in aging: new evidence, continuing questions. Biogerontology. 10.1007/s10522-015-9584-x [DOI] [PMC free article] [PubMed] [Google Scholar]
- Cohen AA, Levasseur M, Raina PS et al. (2020) Is aging biology ageist? J Gerontol A. 10.1093/gerona/glz190 [DOI] [PubMed] [Google Scholar]
- Cohen AA, Li Q, Milot E et al. (2015) Statistical distance as a measure of physiological dysregulation is largely robust to variation in its biomarker composition. PLoS ONE. 10.1371/journal.pone.0122541 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Cohen AA, Milot E, Li Q et al. (2014) Cross-population validation of statistical distance as a measure of physiological dysregulation during aging. Exp Gerontol. 10.1016/j.exger.2014.04.016 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Cohen AA, Milot E, Li Q et al. (2015) Detection of a novel, integrative aging process suggests complex physiological integration. PLoS ONE. 10.1371/journal.pone.0116489 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Cohen AA, Milot E, Yong J et al. (2013) A novel statistical approach shows evidence for multi-system physiological dysregulation during aging. Mech Ageing Dev. 10.1016/j.mad.2013.01.004 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Dansereau G, Wey TW, Legault V et al. (2019) Conservation of physiological dysregulation signatures of aging across primates. Aging Cell. 10.1111/acel.12925 [DOI] [PMC free article] [PubMed] [Google Scholar]
- El Assar M, Angulo J, Rodríguez-Mañas L (2020) Frailty as a phenotypic manifestation of underlying oxidative stress. Free Radic Biol Med. 10.1016/j.freeradbiomed.2019.08.011 [DOI] [PubMed] [Google Scholar]
- Fried LP, Cohen AA, Xue QL et al. (2020) Physical frailty in aging: from symphony to cacophony. Nat Aging (under review) [DOI] [PMC free article] [PubMed] [Google Scholar]
- Fried LP, Tangen CM, Walston J et al. (2001) Frailty in older adults: evidence for a phenotype. J Gerontol A 56:M146–M157. 10.1093/gerona/563.M146 [DOI] [PubMed] [Google Scholar]
- Fried LP, Xue Q-L, Cappola AR et al. (2009) Nonlinear multisystem physiological dysregulation associated with frailty in older women: implications for etiology and treatment. J Gerontol A 64:1049–1057 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Fried LP, Young Y, Rubin G, Bandeen-Roche K (2001) Self-reported preclinical disability identifies older women with early declines in performance and early disease. J Clin Epidemiol 54:889–901. 10.1016/S0895-4356(01)00357-2 [DOI] [PubMed] [Google Scholar]
- Gaudreau P, Morais JA, Shatenstein B et al. (2007) Nutrition as a determinant of successful aging: description of the Quebec Longitudinal Study NuAge and results from cross-sectional pilot studies. Rejuvenation Res 10:377–386. 10.1089/rej.2007.0596 [DOI] [PubMed] [Google Scholar]
- Gavrilov LA, Gavrilova NS (2004) The reliability-engineering approach to the problem of biological aging. Ann NY Acad Sci 1019:509–512. 10.1196/annals.1297.094 [DOI] [PubMed] [Google Scholar]
- Gijzel SMW, Van De Leemput IA, Scheffer M et al. (2017) Dynamical resilience indicators in time series of self-rated health correspond to frailty levels in older adults. J Gerontol A. 10.1093/gerona/glx065 [DOI] [PubMed] [Google Scholar]
- Guan ZH, Liu ZW, Feng G, Wang YW (2010) Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control. IEEE Trans Circuits Syst I. 10.1109/TCSI.2009.2037848 [DOI] [Google Scholar]
- Hubbard RE, O’Mahony MS, Calver BL, Woodhouse KW (2008) Nutrition, inflammation, and leptin levels in aging and frailty. J Am Geriatr Soc 56:279–284. 10.1111/j.1532-5415.2007.01548.x [DOI] [PubMed] [Google Scholar]
- Kalyani RR, Varadhan R, Weiss CO et al. (2012) Frailty status and altered glucose-insulin dynamics. J Gerontol A 67:1300–1306 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kassambara A, Mundt F (2020) Package “factoextra” type package title extract and visualize the results of multivariate data analyses [Google Scholar]
- Khalil A, Gaudreau P, Cherki M et al. (2011) Antioxidant-rich food intakes and their association with blood total antioxidant status and vitamin C and E levels in community-dwelling seniors from the Quebec Longitudinal Study NuAge. Exp Gerontol 46:475–481. 10.1016/j.exger.2011.02.002 [DOI] [PubMed] [Google Scholar]
- Kitano H (2004) Biological robustness. Nat Rev Genet 8:826–837 [DOI] [PubMed] [Google Scholar]
- Kraft TS, Stieglitz J, Trumble BC, Garcia AR, Kaplan H, Gurven M (2020) Multi-system physiological dysregulation and ageing in a subsistence population. Philos Trans Royal Soc Lond Ser B Biol Sci 375(1811):20190610. 10.1098/rstb.2019.0610 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Le Couteur DG, Simpson SJ (2011) Adaptive senectitude: the prolongevity effects of aging. J Gerontol A. 10.1093/gerona/glq171 [DOI] [PubMed] [Google Scholar]
- Leek J, McShane BB, Gelman A et al. (2017) Five ways to fix statistics. Nature 551:557–559 [DOI] [PubMed] [Google Scholar]
- Leng S, Chaves P, Koenig K, Walston J (2002) Serum interleukin-6 and hemoglobin as physiological correlates in the geriatric syndrome of frailty: a pilot study. J Am Geriatr Soc 50:1268–1271. 10.1046/j.1532-5415.2002.50315.x [DOI] [PubMed] [Google Scholar]
- Leng SX, Xue Q-L, Tian J et al. (2007) Inflammation and frailty in older women. J Am Geriatr Soc 55:864–871. 10.1111/j.1532-5415.2007.01186.x [DOI] [PubMed] [Google Scholar]
- Leng SX, Xue QL, Tian J et al. (2009) Associations of neutrophil and monocyte counts with frailty in community-dwelling disabled older women: results from the Women’s Health and Aging Studies I. Exp Gerontol 44:511–516. 10.1016/j.exger.2009.05.005 [DOI] [PubMed] [Google Scholar]
- Li Q, Wang S, Milot E et al. (2015) Homeostatic dysregulation proceeds in parallel in multiple physiological systems. Aging Cell. 10.1111/acel.12402 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lumley T, Maintainer M, Lumley’ T (2020) Package “survey” title analysis of complex survey samples [Google Scholar]
- Mahalanobis PC (1936) Mahalanobis distance. Proc Natl Inst Sci India 49:234–256 [Google Scholar]
- Mielke MM, Xue Q-L, Zhou J et al. (2008) Baseline serum cholesterol is selectively associated with motor speed and not rates of cognitive decline: the Women’s Health and Aging Study II. J Gerontol A. 10.1093/gerona/63.6.619 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Milot E, Morissette-Thomas V, Li Q et al. (2014) Trajectories of physiological dysregulation predicts mortality and health outcomes in a consistent manner across three populations. Mech Ageing Dev. 10.1016/j.mad.2014.10.001 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Mitnitski AB, Mogilner AJ, Rockwood K (2001) Accumulation of deficits as a proxy measure of aging. Sci World J 1:323–336 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Mitnitski AB, Rutenberg AD, Farrell S, Rockwood K (2017) Aging, frailty and complex networks. Biogerontology. 10.1007/s10522-017-9684-x [DOI] [PubMed] [Google Scholar]
- Morrisette-Thomas V, Cohen AA, Fülöp T et al. (2014) Inflammaging does not simply reflect increases in pro-inflammatory markers. Mech Ageing Dev. 10.1016/j.mad.2014.06.005 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nakazato Y, Sugiyama T, Ohno R et al. (2020) Estimation of homeostatic dysregulation and frailty using biomarker variability: aprincipal component analysis of hemodialysis patients. Sci Rep. 10.1038/s41598-020-66861-6 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nijhout HF, Sadre-Marandi F, Best J, Reed MC (2017) Systems biology of phenotypic robustness and plasticity. Integr Comp Biol 57:171–184 [DOI] [PubMed] [Google Scholar]
- Olde Rikkert MGM, Dakos V, Buchman TG et al. (2016) Slowing down of recovery as generic risk marker for acute severity transitions in chronic diseases. Crit Care Med. 10.1097/CCM.0000000000001564 [DOI] [PubMed] [Google Scholar]
- Qu T, Yang H, Walston JD et al. (2009) Upregulated monocytic expression of CXC chemokine ligand 10 (CXCL-10) and its relationship with serum interleukin-6 levels in the syndrome of frailty. Cytokine 46:319–324. 10.1016/j.cyto.2009.02.015 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Rockwood K, Mitnitski A, Song X et al. (2006) Long-term risks of death and institutionalization of elderly people in relation to deficit accumulation at age 70. J Am Geriatr Soc. 10.1111/j.1532-5415.2006.00738.x [DOI] [PubMed] [Google Scholar]
- Rockwood K, Song X, MacKnight C et al. (2005) A global clinical measure of fitness and frailty in elderly people. CMAJ 173:489–495. 10.1503/cmaj.050051 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Rutenberg AD, Mitnitski AB, Farrell SG, Rockwood K (2018) Unifying aging and frailty through complex dynamical networks. Exp Gerontol. 10.1016/j.exger.2017.08.027 [DOI] [PubMed] [Google Scholar]
- Semba RD, Patel KV, Ferrucci L et al. (2010) Serum antioxidants and inflammation predict red cell distribution width in older women: The Women’s Health and Aging Study I. Clin Nutr 29:600–604. 10.1016/j.clnu.2010.03.001 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Seplaki CL, Goldman N, Glei D, Weinstein M (2005) A comparative analysis of measurement approaches for physiological dysregulation in an older population. Exp Gerontol 40:438–449. 10.1016/j.exger.2005.03.002 [DOI] [PubMed] [Google Scholar]
- Shardell M, Hicks GE, Miller RM et al. (2009) Association of low vitamin D levels with the frailty syndrome in men and women. J Gerontol A 64A:69–75 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Simonsick EM, Maffeo CE, Rogers SK et al. (1997) Methodology and feasibility of a home-based examination in disabled older women: the Women’s Health and Aging Study. J Gerontol A. 10.1093/gerona/52a.5.m264 [DOI] [PubMed] [Google Scholar]
- Soysal P, Stubbs B, Lucato P et al. (2016) Inflammation and frailty in the elderly: a systematic review and meta-analysis. Ageing Res Rev. 10.1016/j.arr.2016.08.006 [DOI] [PubMed] [Google Scholar]
- Theou O, Cann L, Blodgett J et al. (2015) Modifications to the frailty phenotype criteria: systematic review of the current literature and investigation of 262 frailty phenotypes in the survey of health, ageing, and retirement in Europe. Ageing Res Rev. 10.1016/j.arr.2015.04.001 [DOI] [PubMed] [Google Scholar]
- Varadhan R, Chaves PHM, Lipsitz LA et al. (2009) Frailty and impaired cardiac autonomic control: new insights from principal components aggregation of traditional heart rate variability indices. J Gerontol A. 10.1093/gerona/glp013 [DOI] [PMC free article] [PubMed] [Google Scholar]
- Varadhan R, Walston J, Cappola AR et al. (2008) Higher levels and blunted diurnal variation of cortisol in frail older women. J Gerontol A 63:190–195 [DOI] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
Due to confidentiality concerns, transfer and sharing of individual-level data used in this study require prior approval from the management committees of WHAS and NuAge. For this reason, raw data cannot be made publicly available. Data are however available from the WHAS and NuAge committees upon reasonable request.Code availability All code is available upon request.