{'fraction_non_alphanumeric': 0.038982288215322944, 'fraction_numerical': 0.027038082382296397, 'mean_word_length': 4.860019175455417, 'pattern_counts': {'":': 0, '<': 10, '<?xml version=': 0, '>': 4, 'https://': 0, 'lorem ipsum': 0, 'www.': 1, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Differences in Physical Activity and Sedentary Behavior Patterns of Postmenopausal Women With Normal vs. Low Total Hip Bone Mineral Density

Purpose: Recent evidence suggests that sedentary behavior (SB) may be associated with bone health. This study compares free-living physical activity (PA) and SB distribution patterns of postmenopausal women with normal vs. low total hip bone mineral density (BMD). Methods: Sixty nine post-menopausal women [mean (min-max) age: 61 (46–79) years] wore ActiGraph GT3X+ activity monitors on the bilateral ankles for 7 days in free-living. Participants were split into two groups: those with normal hip BMD (T-scores ≥-1.0; N = 34) and those with low hip BMD (T-scores <-1.0; N = 35) as defined by the World Health Organization. Daily active time, step counts, sedentary time, sedentary break number, and median sedentary bout length were estimated from ankle acceleration data. The distribution and accumulation patterns of time spent in sedentary bouts, sedentary breaks, and stepping bouts, and sedentary break and stepping bout lengths' variability were also investigated. Group differences were assessed using two-sampled t-tests and Mann-Whitney U-tests with significance levels of 0.5. Results: Significant between group differences (p < 0.05) were in total daily active time [median (IQR): 257 (209–326) vs. 249 (199–299) min], step count [14,188 (10,938–18,646) vs. 13,204 (10,337–16,630) steps], sedentary time [669 (584–731) vs. 687 (615–753) min], and sedentary break number [93 (68–129) breaks vs. 88 (64–113) breaks], as well as median sedentary bout length [15.1 (11.9–22.1) vs. 15.8 (12.1–24.9) min]. Participants' sedentary bouts were found to be power law distributed with 52% of sedentary time occurring in bouts ≥20 min for the normal BMD group, and 58% for the low BMD group. Significant differences were observed between groups in sedentary bouts' and sedentary breaks' power distribution exponents (p < 0.0001) and patterns of sedentary and stepping time accumulation using the Gini index (p ≤ 0.0014). Variability was significantly lower for sedentary break and stepping bout lengths for the low BMD group (p ≤ 0.0001). Participants with lower hip BMD have longer sedentary bouts with shorter and less complex activity bouts compared to participants with normal hip BMD. Conclusion: The results suggest healthier hip BMD may be associated with PA distributed more evenly throughout the day with shorter sedentary bouts. PA distribution should be considered in exercise-based bone health management programs.


INTRODUCTION
Osteoporosis results in 1.5 million fractures (Gass and Dawson-Hughes, 2006) and a cost of nearly $20 billion in the U.S. each year (Burge et al., 2007), with the majority occurring in postmenopausal women (Khosla and Melton, 2007). In the U.S. alone, more than 44 million adults aged >50 years either have osteoporosis or are at high risk due to low bone mass (osteopenia) (Lim et al., 2009). The prevalence of osteoporosis increases from 19 to >50% in women aged 65-74 years and ≥85 years, respectively (Gass and Dawson-Hughes, 2006). Hip fractures account for the majority of the disability, morbidity, and financial burden of osteoporosis (Johnell, 1997), and are associated with increased mortality (Abrahamsen et al., 2009).
Osteopenia is considered as a precursor to osteoporosis if left untreated. Preventive treatments are recommended to people with osteopenia in order to delay or prevent bone loss progressing to osteoporosis. Convincing evidence indicates that physical activity (PA) is beneficial in the prevention of osteoporotic fractures and is one of the main modifiable risk factors (Kannus, 1999). Weight-bearing exercise, even with low impact forces on bone, is effective in maintaining bone mineral density (BMD) in postmenopausal women (Grove and Londeree, 1992). Studies on the effects of long reduced weight bearing periods, involving bed rest and time spent in reduced gravity, have suggested a resulting bone resorption increase (Zerwekh et al., 1998) and a decrease in the stimulation of bone formation (Zwart et al., 2007) due to the lack of PA. Conflicting results have been reported with some studies finding no effect of PA or SB on bone mass (Calderon-Garcia et al., 2013). However, this may be due to the measurement of bone density in other body regions such as the phalanges, and the subjective measurement of PA and SB using questionnaires which have been reported to give marked overestimations of PA (Troiano et al., 2008). A small number of recent studies have investigated the effects of objectively measured sedentary time on BMD (Chastin et al., 2014;Braun et al., 2017). Sedentary time and number of breaks in sedentary time, but not PA, were found to be significant predictors of osteoporosis or osteopenia at the femoral neck in postmenopausal women (Braun et al., 2017). Duration of sedentary bouts rather than frequency appeared to be detrimentally associated with total hip BMD in women ranging from 23 to 90 years old (Chastin et al., 2014). However, (Kozey-Keadle et al., 2011;Stansfield et al., 2015), the associations of more complex measures of PA or sedentary behavior (SB), such as sedentary or active time distribution, accumulation, and PA variability, with bone health measures have not yet been investigated for postmenopausal women. Recent studies have found significant differences in sedentary time distribution and accumulation pattern with no significant differences in total sedentary time between active and sedentary young to middle-aged adults , and between individuals suffering from chronic lower back pain, chronic fatigue syndrome, Parkinson's disease, and controls . These more complex measures have also been applied to give more detailed analyses of the habitual PA patterns of individual's with Parkinson's Disease (Lord et al., 2011Rochester et al., 2012;Hiorth et al., 2016).
An accelerometer-based algorithm to measure upright active time, and steps for gait velocities as low as 0.1 m/s was developed and validated (Fortune et al., 2014a(Fortune et al., , 2015Lugade et al., 2014), and extended to measure free-living sedentary time distribution and accumulation patterns in a small cohort of postmenopausal women (Fortune et al., 2017). The current study's aim was to compare the free-living PA and SB, including distribution and accumulation patterns, of a larger cohort of postmenopausal women with low total hip BMD to those with normal total hip BMD in their home and community environments. We hypothesize that distribution, variability, and accumulation patterns of PA and SB may indicate differences in bone health, and that they should be considered in addition to overall PA and SB volume in bone health management.

Human Participants
Seventy post-menopausal women participated in this study, with a mean (SD) age of 61.3 (7.4) years with a range of 46-79 years, and a BMI of 26.1 (4.9) kg . m −2 . Participants were recruited from previous and ongoing studies on bone health and through advertising in the local community. The full list of exclusion criteria are described in Madansingh et al. (2020) and included being self-reportedly post-menopausal for at least 1 year, <2 years of self-reported starting, stopping or modifying osteoporosis treatment, currently taking prescription medication which may cause BMD changes, induced menopause, use of an assistive walking device or any lower body amputations or orthotics, or a BMI of over 40 kg/m 2 . The protocol (IRB # 16-003202) was approved by the Institutional Review Board and participants provided written informed consent prior to participation.

Data Collection
Accelerometer data were acquired as participants wore ActiGraph GT3X+ (ActiGraph LLC, Pensacola, FL, USA) activity monitors (AMs) on the bilateral ankles for seven consecutive days in their free-living environments. AMs were secured with straps around the ankle, located just above the lateral malleoli. Participants were instructed to wear the AMs at all times except during sleeping, bathing, or swimming. A valid AM day was defined as ≥10 wear hours per day (Troiano et al., 2008). Each axis was sampled at a rate of 100 Hz. Each participant's total hip BMD and corresponding T-score (BMD normalized by the young adult reference BMD value) were collected from their non-dominant hip within a month of their AM data collection. BMD was measured using a GE-Lunar iDXA Dual X-ray Absorptiometry (DXA) scanner (GE Healthcare, Madison, WI). The T-scores were calculated by the scanner software platform. Participants were split into two groups for analyses: (1) normal BMD (T-score ≥-1.0), and (2) low BMD (T-score <-1.0).

Data and Statistical Analyses
The PA parameters of interest were: (1) daily active time, (2) daily step counts, (3) daily stepping bout length distribution (α w ), (4) daily stepping time accumulation pattern (G w ), and (5), daily variability in stepping bout time (S 2w ). SB parameters of interest were: (1) daily sedentary time, (2) daily number of breaks in sedentary time, (3) median daily sedentary bout length, (4) daily sedentary bout length distribution (α sed ), (5) daily sedentary time accumulation pattern (G sed ), (6) daily sedentary break length distribution (α act ), (7) daily sedentary break accumulation pattern (G act ), and (8) daily variability in sedentary break time (S 2act ). All accelerometer data post-processing and analysis were performed offline using MATLAB (Version 7.11.0, Mathworks, MA). Dynamic activity, steps and sedentary epochs were detected using algorithms previously developed and validated for younger to middle-aged participants with gait velocities ranging from Frontiers in Sports and Active Living | www.frontiersin.org 0.1 to 4.8 m . s −1 and during a simulated free-living protocol in the lab using Mayo Clinic accelerometer-based AMs (Fortune et al., 2014a;Lugade et al., 2014), and for older adult participants with gait velocities ranging from 0.5 (0.02) to 1.7 (0.06) m . s −1 using the ActiGraph GT3X+ AMs (Fortune et al., 2015(Fortune et al., , 2017. We additionally previously found that there were no significant differences between the daily step counts yielded by our step detection algorithm and the step counts yielded by the ActiLife low frequency extension step detection algorithm using the free-living data from the cohort of postmenopausal women also used in the current manuscript (Madansingh et al., 2020). Similar to Fortune et al. (2017), in this study, acceleration data were classified as either active (upright dynamic activity) or sedentary (static and/or lying down posture) on a second by second basis.
As described in detail in Fortune et al. (2014b), upright dynamic activity was identified for 1 s epochs when the vertical ankle angle estimation was <50 degrees, and the bodily motion component's signal magnitude area of the ankle acceleration exceeded 0.246 g or the acceleration data exceeded a scaling threshold of 1.5 within a range of 0.1-2.0 Hz when a continuous wavelet transform was applied. This algorithm was applied to each ankle AM and for every 1 s epoch where activity was detected, the epoch was defined as an activity segment.
Step events were determined by applying an adaptive threshold peak detection algorithm to the ankle acceleration data for all upright dynamic activity periods for each limb (Fortune et al., 2015). Complete posture, activity, and step detection algorithm development and validation details can be found in our previous studies (Fortune et al., 2014a(Fortune et al., ,b, 2015Lugade et al., 2014).
Similar to Fortune et al. (2017), in this study, for every 1 s epoch where either activity was not detected or a laying down posture was detected, the epoch was defined as a sedentary segment. A sedentary break was identified when an activity segment was ≥30 s with at least 1 s of sedentary time preceding it (Fortune et al., 2017). A sedentary bout was defined as a segment where no activity was detected for at least 10 min . A stepping bout was defined as any active segment where 2 or more steps occurred. A schematic flowchart of the algorithm steps is presented in Figure 1.
The relationship between sedentary bout length and density was investigated on a logarithmic scale to examine sedentary bout length distribution [7]. Exponent α was estimated from TABLE 1 | Group demographic data including number of participants (N), and mean (min -max) age, BMI, BMD, and total hip T-scores.

Group
Normal BMD Low BMD P-Value   bout lengths, S 2act and S 2w , was estimated as the standard deviation of the log normally distributed bout lengths via the maximum likelihood technique as described in Rochester et al. (2012). Higher variability values indicate a more varied pattern of walking. Shapiro-Wilk tests were used to test data for normality distribution. Students two-tailed t-tests and Mann-Whitney Utests were used as appropriate to assess between group differences for all PA and SB parameters of interest. Significance level was set at 0.05.

RESULTS
Data from one participant were excluded from all analyses due to missing data as a result of one of the ActiGraph AMs ceasing to record data after only 1 day of AM wear. For the remaining 69 participants, we observed 100% compliance with all participants wearing their AMs for seven valid days. There were no significant differences between the groups' mean ages or BMIs (Table 1).
Active time, step counts, and sedentary break number were significantly higher for the normal BMD group (Table 2, Figure 2). Sedentary time and sedentary bout length were significantly lower for the normal BMD group (Table 2, Figure 2). Participants in the normal BMD spent a mean (SD) of 70.32 (8.83) % of their time in SB, while participants in the low BMD group spent 71.88 (7.87) % of their time in SB. For the normal BMD group, 70 percent of sedentary bouts were <20 min but bouts >20 min contributed to 52% of total sedentary time. For the low BMD group, 64% of sedentary bouts were <20 min but bouts >20 min contributed to 58% of total sedentary time.
The sedentary bouts' , sedentary breaks' , and stepping bouts' distributions with respect to their lengths were similar to a power law distribution for both groups (Figure 3). There were significant differences between group differences in the power law characteristic exponent α for sedentary bouts and sedentary breaks but not for stepping bouts, with lower α values for sedentary bouts and higher α values for sedentary breaks for the low BMD group compared to the normal BMD group (Table 2, Figure 3). The standard errors on α for sedentary bouts, sedentary breaks, and stepping bouts (σ sed , σ act , σ w ) were all <0.05 or <1.78% of α. There were significant between group differences in the Gini index for sedentary bouts and stepping periods but not sedentary breaks, with higher Gini index values for sedentary bouts and lower Gini index values for stepping periods for low BMD compared to normal BMD (Table 2, Figure 4). Variability in sedentary breaks and stepping bout lengths were significantly different between groups with higher variability in sedentary break and stepping bout lengths for the normal BMD group (Table 2,  Figure 4).

DISCUSSION
The dose-response relationship between different PA and SB patterns and bone health remains to be established for postmenopausal women. As such, the goal of this study was to compare the free-living PA and SB distribution patterns of postmenopausal women with low hip BMD to those with normal hip BMD in their home and community environments.
The recommended daily step counts for adults to maintain a healthy life-style from government agencies around the world range from 8,500 to 10,000 steps per day (Tudor-Locke et al., 2011). Postmenopausal women have been reported to take between 3,528 and 19,958 steps per day (Kroemeke et al., 2014), similar to the step counts observed in the current study. Individuals taking ≥10,000 steps per day are defined as active and ≥12,500 steps per day as highly active (Tudor-Locke and Bassett, 2004). In the current study, the median daily step counts for both the normal and low hip BMD groups were slightly higher than the previous recommendation of 12,500 steps per day for postmenopausal women (Kroemeke et al., 2014).
Increased SB, independent of PA, is now considered as a public health risk (Harvey et al., 2015). Studies have shown the negative impact of SB on bone health, resulting in increased bone resorption with similar effects from frequent long continuous breaks of inactivity as that of prolonged bed-rest (Chastin et al., 2014). A recent longitudinal study has found an association between reduced bone loss with light intensity PA in older postmenopausal women, suggesting the addition of the breaking up of SB along with maintaining moderate-to-vigorous PA to help prevent osteoporosis in post-menopausal women (Rodríguez-Gómez et al., 2019).
The daily active and sedentary time estimates observed in the current study were similar to previous reports in the literature (Arnardottir et al., 2013;Wanner et al., 2013). The mean daily sedentary break numbers reported in this study were also comparable to previous studies (Bankoski et al., 2011;Fortune et al., 2017). Furthermore, participants in both groups spent a similar percentage (70 and 72%) of their day being sedentary which was also reported in previous studies on older adults (68-78%) (Arnardottir et al., 2013;Godfrey et al., 2013;Jefferis et al., 2015;Diaz et al., 2016;Fortune et al., 2017). The small differences in percentage of time spent sedentary between studies could be due to any number of factors such as algorithm differences, AM placement, sample sizes, participant age, or employment status.
A previous study found that daily sedentary time and sedentary break number, but not daily PA, were significant predictors of osteopenia or osteopenia at the femoral neck in postmenopausal women (Braun et al., 2017). Significant differences were observed in daily active time and step counts, as well as daily sedentary time and sedentary break numbers between groups in the current study. Consistent with our findings, in a study on women ranging from 23 to 90 years old, duration of sedentary bouts appeared to be negatively associated with total hip BMD (Chastin et al., 2014). It has been suggested that more complex SB pattern examination is needed when investigating the effects of SB (Esliger and Tremblay, 2007;Healy et al., 2011). The scope of physical activity measurement has also been extended to include such more complex measures, with some evidence suggesting that they may be more sensitive measures in older adults than traditional daily volume measures such as daily active time or daily step count (Cavanaugh et al., 2007;Lord et al., 2011). In the current study, the power law characteristic distribution exponent of sedentary bout length was significantly lower in the group with low BMD compared to the group with normal BMD, indicating a larger proportion of the sedentary time being made up of long sedentary bouts. The significantly higher sedentary break length exponent for the low BMD group indicated a smaller proportion of active time being made of long activity bouts. The significantly higher Gini index of sedentary time accumulation and significantly lower Gini index of stepping time accumulation in the group with low BMD compared to the group with normal BMD in the current study mean that sedentary behavior was made up of longer sedentary bouts and physical activity was made up of shorter stepping bouts in the low BMD group compared to the normal BMD group. The lower variability in sedentary break and stepping bout lengths for the low BMD group suggests "less complex, less physiologically demanding patterns of activity" (Lord et al., 2011). In conclusion, the participants in the low BMD group break up their sedentary time, with shorter and less variable activity and stepping bouts, and into a smaller number of sedentary bouts of longer lengths, with a higher percentage of time spent in sedentary bouts longer than 20 min. The between group differences in sedentary bouts of longer lengths shown in our study are similar to those observed between healthy participants and participants with chronic conditions or diseases . The between group differences in physical activity volume, distribution, accumulation, and variability are also similar to those previously reported between healthy participants and individuals with Parkinson's Disease .
Causality cannot be inferred due to the cross-sectional nature of this study. While lower volumes of activity can lead to bone loss, the knowledge of having osteopenia or being at risk of developing osteoporosis can result in limited exercise participation due to fear of falling and the associated consequences (Resnick et al., 2014). PA and SB during earlier life, particularly during childhood and adolescence, result in much larger BMD changes compared to later life stages and can also be predictive of BMD in later life (Calderon-Garcia et al., 2013). Unfortunately, objective measurements from earlier life stages cannot be retrospectively obtained. Information on dosages for any participants undergoing osteoporosis treatment or prior history of taking prescription medication that may result in BMD changes may further explain between group differences but, unfortunately, was not recorded for this study. Due to the exclusion of individuals who use assistive walkers, the study cohorts are biased to exclude slow walkers and those with functional limitations reducing the generalizability of the study results. Future studies should investigate both the validity and applicability of these methods in postmenopausal women with lower functional levels. The participants included in this study were not age-matched between groups. However, no significant differences in age were detected between groups. Typically, AMs are worn on the hip (using accelerometry cut-points for sedentary vs. active classification Chastin et al., 2014) or thigh (incorporating postural detection to differentiate activity while sitting from activity while standing , while ankle placement has been shown to be optimal for step detection (Fortune et al., 2015;Korpan et al., 2015). We chose ankle placement for the current study as our primary goal was to investigate the effects of upright PA and dynamic loading (for which the ankle is the optimal location Fortune et al., 2014c) on hip BMD (Madansingh et al., 2020). As a thigh AM is needed to differentiate between standing and sitting postures, a limitation of the use of ankle AMs means that detected activity while sitting may be classified as PA rather than SB depending on the ankle orientation to the ground during sitting. Nonetheless, this is one of a few studies to investigate postmenopausal women's PA and SB distribution and accumulation patterns and their role in bone health and uses a novel algorithm with high accuracy for differentiating between stationary and low intensity movement.
Our data suggest that the distribution and accumulation of both PA and sedentary time, and PA variability may be important bone health management factors to consider in future studies. Our findings also highlight that the power law characteristic exponent appears to be an appropriate and sensitive measure to detect PA and SB differences between cohorts with normal and low hip BMD.

DATA AVAILABILITY STATEMENT
The datasets generated for this study are available on request to the corresponding author.

ETHICS STATEMENT
The studies involving human participants were reviewed and approved by Mayo Clinic Institutional Review Board. The patients/participants provided their written informed consent to participate in this study.

AUTHOR CONTRIBUTIONS
EF directed the research. EF and SC drafted the article. MM and CN provided critical revisions. All authors have made substantial contributions to (1) the conception and design of the study, or acquisition of data, or analysis and interpretation of data, (2) drafting the article or revising it critically for important intellectual content, and (3) final approval of the version to be submitted. All authors contributed to the data analysis and interpretation of data and gave final approval of the version to be submitted.