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Original Article| Volume 153, P66-77, January 2023

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Data-driven network analysis identified subgroup-specific low back pain pathways: a cross-sectional GLA:D Back study

Open AccessPublished:November 14, 2022DOI:https://doi.org/10.1016/j.jclinepi.2022.11.010

      Highlights

      • Low back pain (LBP) intensity and psychological factors directly predicted disability overall.
      • Pain and physical factors drive psychological factors in those with severe symptoms.
      • Psychological factors drive pain and physical factors in those with milder symptoms.
      • Both physical and psychological factors contribute to disability in individuals with LBP.

      Abstract

      Objectives

      To understand the physical, activity, pain, and psychological pathways contributing to low back pain (LBP) -related disability, and if these differ between subgroups.

      Methods

      Data came from the baseline observations (n = 3849) of the “GLA:D Back” intervention program for long-lasting nonspecific LBP. 15 variables comprising demographic, pain, psychological, physical, activity, and disability characteristics were measured. Clustering was used for subgrouping, Bayesian networks (BN) were used for structural learning, and structural equation model (SEM) was used for statistical inference.

      Results

      Two clinical subgroups were identified with those in subgroup 1 having worse symptoms than those in subgroup 2. Psychological factors were directly associated with disability in both subgroups. For subgroup 1, psychological factors were most strongly associated with disability (β = 0.363). Physical factors were directly associated with disability (β = −0.077), and indirectly via psychological factors. For subgroup 2, pain was most strongly associated with disability (β = 0.408). Psychological factors were common predictors of physical factors (β = 0.078), pain (β = 0.518), activity (β = −0.101), and disability (β = 0.382).

      Conclusions

      The importance of psychological factors in both subgroups suggests their importance for treatment. Differences in the interaction between physical, pain, and psychological factors and their contribution to disability in different subgroups may open the doors toward more optimal LBP treatments.

      Keywords

      What is new?

        Key findings

      • The worse the overall symptoms, the greater the importance of physical and activity factors in directly and indirectly predicting disability in people with low back pain (LBP).
      • Psychological factors explained the pain-disability relationship only in the group with worse overall symptoms.

        What this adds to what was known

      • Combining data-driven machine learning algorithms with traditional statistical inferential methods provide a powerful method of developing, testing, and refining causal hypothesis.

        What is the implication and what should change now

      • Physical factors play an important role in the understanding of pain-related disability, particularly so in the subgroup with worse pain and psychological health.
      • Psychological factors are more likely to explain the pain disability relationship in patients with worse overall symptoms than those with milder symptoms.

      1. Introduction

      Low back pain (LBP) is the leading cause of years lived with disability globally [
      • Wu A.
      • March L.
      • Zheng X.
      • Huang J.
      • Wang X.
      • Zhao J.
      • et al.
      Global low back pain prevalence and years lived with disability from 1990 to 2017: estimates from the Global Burden of Disease Study 2017.
      ], with high socio-economic cost [
      • Maniadakis N.
      • Gray A.
      The economic burden of back pain in the UK.
      ], particularly among individuals with persistent symptoms [
      • Dagenais S.
      • Caro J.
      • Haldeman S.
      A systematic review of low back pain cost of illness studies in the United States and internationally.
      ]. Despite an exponential increase in clinical research focused on LBP over recent decades, no treatment has been shown to have significantly large and consistent benefits for patients.
      Causal mediation analysis has been applied in attempting to disentangle the mechanisms of LBP [
      • Lee H.
      • Hubscher M.
      • Moseley G.L.
      • Kamper S.J.
      • Traeger A.C.
      • Mansell G.
      • et al.
      How does pain lead to disability? A systematic review and meta-analysis of mediation studies in people with back and neck pain.
      ,
      • Alaiti R.K.
      • Castro J.
      • Lee H.
      • Caneiro J.P.
      • Vlaeyen J.W.S.
      • Kamper S.J.
      • et al.
      What are the mechanisms of action of cognitive-behavioral, mind-body, and exercise-based interventions for pain and disability in people with chronic primary musculoskeletal pain?: a systematic review of mediation studies from randomized controlled trials.
      ]. Current mediation studies have primarily focused on the role of psychological factors in mediating the relationship between pain and disability [
      • Lee H.
      • Hubscher M.
      • Moseley G.L.
      • Kamper S.J.
      • Traeger A.C.
      • Mansell G.
      • et al.
      How does pain lead to disability? A systematic review and meta-analysis of mediation studies in people with back and neck pain.
      ,
      • Khan M.N.U.
      • Morrison N.M.V.
      • Marshall P.W.
      The role of fear-avoidance Beliefs on low back pain-related disability in a developing socioeconomic and conservative culture: a cross-sectional study of a Pakistani population.
      ,
      • Mühlhauser Y.
      • Vogt L.
      • Niederer D.
      How and how fast does pain lead to disability? A multilevel mediation analysis on structural, temporal and biopsychosocial pathways in patients with chronic nonspecific low back pain.
      ,
      • O’Neill A.
      • O’Sullivan K.
      • O’Sullivan P.
      • Purtill H.
      • O’Keeffe M.
      Examining what factors mediate treatment effect in chronic low back pain: a mediation analysis of a Cognitive Functional Therapy clinical trial.
      ]. Results have been mixed with some studies reporting that fear avoidance and psychological distress mediated the relationship between pain and disability [
      • Lee H.
      • Hubscher M.
      • Moseley G.L.
      • Kamper S.J.
      • Traeger A.C.
      • Mansell G.
      • et al.
      How does pain lead to disability? A systematic review and meta-analysis of mediation studies in people with back and neck pain.
      ,
      • Alaiti R.K.
      • Castro J.
      • Lee H.
      • Caneiro J.P.
      • Vlaeyen J.W.S.
      • Kamper S.J.
      • et al.
      What are the mechanisms of action of cognitive-behavioral, mind-body, and exercise-based interventions for pain and disability in people with chronic primary musculoskeletal pain?: a systematic review of mediation studies from randomized controlled trials.
      ]. Also, for some interventions designed to target specific psychological factors like fear, reduced fear mediated the effect of the intervention on disability [
      • Fordham B.
      • Ji C.
      • Hansen Z.
      • Lall R.
      • Lamb S.E.
      Explaining how cognitive behavioral approaches work for low back pain: mediation analysis of the back skills training trial.
      ], while in others fear did not mediate the effect of the intervention [
      • O’Neill A.
      • O’Sullivan K.
      • O’Sullivan P.
      • Purtill H.
      • O’Keeffe M.
      Examining what factors mediate treatment effect in chronic low back pain: a mediation analysis of a Cognitive Functional Therapy clinical trial.
      ].
      A structural model defines the dependent variable(s), independent variable(s), and mediator(s), and is the first step in causal mediation analysis [
      • Baron R.M.K.
      • David A.
      The moderator–mediator variable distinction in social psychological research: conceptual, strategic, and statistical considerations.
      ]. Specifying a structural model with many variables can be challenging and may rely on existing theoretical frameworks such as the fear avoidance model [
      • Vlaeyen J.W.S.
      • Linton S.J.
      Fear-avoidance and its consequences in chronic musculoskeletal pain: a state of the art.
      ], clinical expertize, and/or the literature. Alternatively, a data-driven structural modeling approach such as Bayesian Networks (BN) [
      • Carvalho ECAd
      • Vissoci J.R.N.
      • Andrade Ld
      • Machado WdL.
      • Paraiso E.C.
      • Nievola J.C.
      BNPA: an R package to learn path analysis input models from a data set semi-automatically using Bayesian networks.
      ,
      • Liew B.X.W.
      • Peolsson A.
      • Scutari M.
      • Löfgren H.
      • Wibault J.
      • Dedering Å.
      • et al.
      Probing the mechanisms underpinning recovery in post-surgical patients with cervical radiculopathy using Bayesian networks.
      ,
      • Liew B.X.W.
      • Scutari M.
      • Peolsson A.
      • Peterson G.
      • Ludvigsson M.L.
      • Falla D.
      Investigating the causal mechanisms of symptom recovery in chronic Whiplash-associated disorders using bayesian networks.
      ], can be used. BN emphasizes learning structural pathways directly from data [
      • Pearl J.
      ]. The learned structural model using BN can then be fitted using structural equation model (SEM) analysis for statistical inference.
      There is an emerging body of evidence of the close interaction between physical and psychological factors in people suffering from LBP [
      • Karayannis N.V.
      • Smeets R.J.
      • van den Hoorn W.
      • Hodges P.W.
      Fear of movement is related to trunk stiffness in low back pain.
      ,
      • Fujii R.
      • Imai R.
      • Tanaka S.
      • Morioka S.
      Kinematic analysis of movement impaired by generalization of fear of movement-related pain in workers with low back pain.
      ,
      • Massé-Alarie H.
      • Beaulieu L.D.
      • Preuss R.
      • Schneider C.
      Influence of chronic low back pain and fear of movement on the activation of the transversely oriented abdominal muscles during forward bending.
      ,
      • Larivière C.
      • Bilodeau M.
      • Forget R.
      • Vadeboncoeur R.
      • Mecheri H.
      Poor back muscle endurance is related to pain catastrophizing in patients with chronic low back pain.
      ,
      • Smith A.J.
      • O'Sullivan P.B.
      • Campbell A.C.
      • Straker L.M.
      The relationship between back muscle endurance and physical, lifestyle, and psychological factors in adolescents.
      ]. Both clinical and experimental pain studies have shown that pain can negatively impair motor function at multiple levels of the neuromuscular system [
      • Hodges P.
      Pain and motor control: from the laboratory to rehabilitation.
      ,
      • Liew B.X.W.
      • Del Vecchio A.
      • Falla D.
      The influence of musculoskeletal pain disorders on muscle synergies-A systematic review.
      ,
      • van Dieen J.H.
      • Reeves N.P.
      • Kawchuk G.
      • van Dillen L.R.
      • Hodges P.W.
      Motor control changes in low back pain: divergence in presentations and mechanisms.
      ]. No studies to our knowledge have simultaneously investigated the interaction in how physical and psychological factors explain both pain and disability in people experiencing LBP. Adding to the complexity, the clinical heterogeneity of LBP [
      • Wand B.M.
      • O'Connell N.E.
      Chronic non-specific low back pain – sub-groups or a single mechanism?.
      ,
      • Fourney D.R.
      • Andersson G.
      • Arnold P.M.
      • Dettori J.
      • Cahana A.
      • Fehlings M.G.
      • et al.
      Chronic low back pain: a heterogeneous condition with challenges for an evidence-based approach.
      ,
      • Kongsted A.
      • Kent P.
      • Hestbaek L.
      • Vach W.
      Patients with low back pain had distinct clinical course patterns that were typically neither complete recovery nor constant pain. A latent class analysis of longitudinal data.
      ] implies that mechanistic pathways are likely to differ between patient subgroups, which have yet to be investigated.
      The primary objective was to investigate potential pathways between pain, psychological factors, physical performance, and the outcome of disability in people with long-lasting LBP. The secondary objective was to understand if those pathways differ between data-driven identified patient subgroups. We hypothesized that psychological factors would explain the pain-disability relationship [
      • Lee H.
      • Hubscher M.
      • Moseley G.L.
      • Kamper S.J.
      • Traeger A.C.
      • Mansell G.
      • et al.
      How does pain lead to disability? A systematic review and meta-analysis of mediation studies in people with back and neck pain.
      ]. We also hypothesized that the explanatory effect of psychological factors on the pain-disability relationship would be stronger in subgroups with more negative psychological features.

      2. Methods

      This is a cross-sectional observational study conducted as part of “GLA:D Back”, a structured programme of patient education integrated with supervised exercises for people with persistent or recurrent LBP [
      • Kjaer P.
      • Kongsted A.
      • Ris I.
      • Abbott A.
      • Rasmussen C.D.N.
      • Roos E.M.
      • et al.
      GLA:D(®) Back group-based patient education integrated with exercises to support self-management of back pain - development, theories and scientific evidence.
      ]. The cross-sectional study design means that the pathways investigated will reflect both between- and within-subjects associations [
      • Epskamp S.
      • Waldorp L.J.
      • Mõttus R.
      • Borsboom D.
      The Gaussian graphical model in cross-sectional and time-series data.
      ]. The intervention and clinician training have been described in detail elsewhere [
      • Kjaer P.
      • Kongsted A.
      • Ris I.
      • Abbott A.
      • Rasmussen C.D.N.
      • Roos E.M.
      • et al.
      GLA:D(®) Back group-based patient education integrated with exercises to support self-management of back pain - development, theories and scientific evidence.
      ,
      • Kongsted A.
      • Ris I.
      • Kjaer P.
      • Vach W.
      • Morsø L.
      • Hartvigsen J.
      GLA:D(®) Back: implementation of group-based patient education integrated with exercises to support self-management of back pain - protocol for a hybrid effectiveness-implementation study.
      ].

      2.1 Setting

      GLA:D Back is delivered in physiotherapy and chiropractic clinics in Denmark by clinicians who have participated in a 2-day training course at the University of Southern Denmark. The intervention was designed to support self-management of persistent or recurrent LBP.

      2.2 Participants

      The study sample consists of “GLA:D Back” participants consenting to their data being used for research. To be enrolled, patients should be aged 18 years or older, have persistent or recurrent back pain, and need improved self-management as decided in a dialogue between the patient and clinician.

      2.3 Observed variables included in analysis

      A description of the baseline variables included in the analysis can be found in the supplementary material. The included variables were based on a longitudinal theory of change model of the “GLA:D Back” program [
      • Kjaer P.
      • Kongsted A.
      • Ris I.
      • Abbott A.
      • Rasmussen C.D.N.
      • Roos E.M.
      • et al.
      GLA:D(®) Back group-based patient education integrated with exercises to support self-management of back pain - development, theories and scientific evidence.
      ,
      • Kongsted A.
      • Ris I.
      • Kjaer P.
      • Vach W.
      • Morsø L.
      • Hartvigsen J.
      GLA:D(®) Back: implementation of group-based patient education integrated with exercises to support self-management of back pain - protocol for a hybrid effectiveness-implementation study.
      ]. All data were collected in REDCap hosted by https://open.rsyd.dk/. Clinicians entered the results of physical performance tests during the initial consultation (Table 1). When patients consented to study participation, a link to the REDCap survey was sent to their email, and they filled in the survey from home.
      Table 1Baseline descriptive characteristics of cohort
      VariablesLatent variableSubgroup 1 (n = 2,358)Subgroup 2 (n = 1491)Total (n = 3849)P value
      P values of between sub-group comparisons of variables.
      Physical - flexion mobility, n (%)
      Chi-square test.
      Physical
      1 – Normal762 (32)1018 (68)1780 (46)<0.001
      2 – Movement impairment only409 (17)173 (12)582 (15)<0.001
      3 – Movement impairment and pain556 (24)68 (5)624 (16)<0.001
      4 – Pain only631 (27)232 (16)863 (22)<0.001
      Physical - abdominal muscle endurance, seconds
      Linear regression.
      Physical45 (33)68 (36)54 (36)<0.001
      Physical - trunk extensor muscle endurance, seconds,
      Linear regression.
      Physical71 (56)114 (58)88 (60)<0.001
      Gender
      Chi-square test.
      Male560 (24)581 (39)1141 (30)<0.001
      Female1798 (76)910 (61)2,708 (70)<0.001
      Age (years)
      Linear regression.
      58 (13)57 (13)58 (13)<0.001
      LBP intensity
      Linear regression.
      Pain6 (2)4 (2)5 (2)<0.001
      Leg pain intensity
      Linear regression.
      Pain4 (3)2 (2)3 (3)<0.001
      LBP duration
      Chi-square test.
      Pain
      1 - < 3 months270 (11)400 (27)670 (17)<0.001
      2- 3-12 months346 (15)481 (32)827 (21)<0.001
      3 - > 12 months1742 (74)610 (41)2,352 (61)<0.001
      B-IPQ
      Linear regression.
      Psychological46 (10)37 (11)43 (11)<0.001
      FABQ
      Linear regression.
      Psychological10 (6)8 (5)9 (6)<0.001
      ODI
      Linear regression.
      30 (12)19 (10)25 (13)<0.001
      ASES – pain
      Linear regression.
      Psychological6 (2)7 (2)7 (2)<0.001
      Perceived fitness
      Linear regression.
      Activity4 (2)5 (2)4 (2)<0.001
      Perceived endurance
      Linear regression.
      Activity4 (2)5 (2)4 (2)<0.001
      Perceived balance
      Linear regression.
      Activity4 (2)5 (2)4 (2)<0.001
      Abbreviations: LBP, low back pain; B-IPQ, brief illness perceptions questionnaire; ODI, oswestry disability index; FABQ, fear avoidance beliefs questionnaire; ASES, arthritis self-efficacy scale pain subscale.
      a P values of between sub-group comparisons of variables.
      b Chi-square test.
      c Linear regression.

      2.4 Statistical analysis

      2.4.1 Packages

      Figure 1 represents a schematic diagram of the analysis workflow. All analyses were performed using the R software (v4.1.2). The following packages were used: mice [
      • van Buuren S.
      • Groothuis-Oudshoorn K.
      Mice: multivariate imputation by chained equations in R.
      ] for data imputation, fastcluster [
      • Müllner D.
      Fastcluster: fast hierarchical, agglomerative clustering routines for R and Python.
      ] for clustering, lavaan [
      • Rosseel Y.
      Lavaan: an R package for structural equation modeling.
      ] for SEM analysis, semPlot [
      • Epskamp S.
      semPlot: Path Diagrams and Visual Analysis of Various SEM Packages.
      ] for visualizing SEM paths, bnlearn [
      • Scutari M.
      Learning bayesian networks with the bnlearn R package.
      ] for BN structural learning, and SEMsens [
      • Leite W.L.
      • Shen Z.
      • Marcoulides K.
      • Fisk C.L.
      • Harring J.
      Using ant colony optimization for sensitivity analysis in structural equation modeling.
      ] for sensitivity analysis of SEM models. All codes can be found in a public online repository (https://bernard-liew.github.io/Danish-glad-study/).
      Figure thumbnail gr1
      Fig. 1Schematic illustration of analytic workflow. Abbreviations: CFA, confirmatory factor analysis; SEM, structural equation modeling; HACA - hierarchical agglomerative cluster analysis; Bayesian network- BN.

      2.4.2 Missing data management

      The proportion of missing data ranged from 0.96% to 23.93% (Supplementary Figure 1). Multiple imputations were performed on all variables with missing values, regardless of the amount of missing data, using the Multivariate Imputation by Chained Equations method [
      • van Buuren S.
      • Groothuis-Oudshoorn K.
      Mice: multivariate imputation by chained equations in R.
      ]. The random forest method was used for imputation. We imputed the data using a maximum number of iterations of 30 for imputation.

      2.4.3 Confirmatory factor analysis

      Confirmatory factor analysis was used to assess the fit of the proposed measurement model, which defines the relationship between the observed variables, and the latent variables of physical, pain, psychological, and activity (Fig. 2). The Weighted Least Square Mean and Variance was used to estimate the model's parameters, while robust standard errors were used. An excellent model fit is determined when two of the four fit indices exceed the thresholds: (a root-mean-square error of approximation [RMSEA] ≤0.05; standard root mean residual [SRMR] ≤0.05; confirmatory fit index [CFI] ≥0.95; and non-normed fit index [NNFI] ≥0.95) [
      • Gates K.M.
      • Molenaar P.C.
      Group search algorithm recovers effective connectivity maps for individuals in homogeneous and heterogeneous samples.
      ].
      Figure thumbnail gr2
      Fig. 2Theoretical latent variable model. Variables surrounded by a square box are observed variables, while those in a circle are latent variables. Dotted arrows reflect fixed relationships. Abbreviations: abds_ms, abdominal muscle endurance; ext_ms, extensor muscle endurance; flex_mob, flexion spinal mobility; lbp, LBP intensity; legp, leg pain intensity; duration, duration of pain symptoms; ipq, illness perception questionnaire; fabq, fear avoidance behavior questionnaire; ases, arthritis self-efficacy scale; ODI, Oswestry Disability Index.

      2.4.4 Cluster

      A hierarchical agglomerative cluster analysis was used to identify homogenous LBP subgroups based on all observed variables of the latent variables, sex, and age. A hierarchical cluster tree was formed using the “complete” linkage method and Gower's distance (see supplementary material). The optimal number of clusters was determined using qualitative visual inspection of the cluster tree and quantitative internal measures of cluster validation. When using internal validation measures, the goal is to achieve the smallest within-cluster average distance and the largest between-cluster average distance (Fig. 1). Herein we used two validation measures–the Connectivity and Silhouette width. The connectivity has a value between zero and ∞, with a value closer to zero indicating a more optimal clustering solution. The silhouette width has a value between −1 and 1, and the closer it is to 1, the better the clustering solution. Connectivity and silhouette width were calculated for two to six clusters. A cluster solution of two resulted in the smallest connectivity value (687.41) and largest silhouette width value (0.18) (Supplementary Figure 2). All subsequent BN and SEM analyses will be conducted on three datasets–the entire cohort, subgroups 1, and 2.

      2.4.5 Bayesian network modeling

      All continuous variables were scaled to a mean of zero and standard deviation (SD) of one after subgrouping but before performing BN modeling. In the BN framework, prior knowledge of known relationships can be included in the model as blacklist and whitelist arcs (Supplementary material). Structural expectation maximization of the hill climbing algorithm was used for structural learning for each dataset with the blacklist and whitelist included [
      • Nagarajan R.
      • Scutari M.
      • Lèbre S.
      Bayesian networks in R with applications in systems biology. Verlag.
      ]. The hill climbing algorithm iteratively adds, deletes, or reverses edges until the Bayesian information criterion of the model fit can no longer be improved [
      • Nagarajan R.
      • Scutari M.
      • Lèbre S.
      Bayesian networks in R with applications in systems biology. Verlag.
      ].

      2.4.6 Structural equation modeling

      The structural paths from the BN models were used for SEM analysis to estimate the parameters, as described in previous paragraphs. The same estimator and model fit indices as the confirmatory factor analysis were used presently. For the measurement and path models, the standardized coefficients are reported. Significance was defined by P < 0.05.

      3. Results

      A total of 3,849 participants were included in the analysis. Table 1 reports the descriptive characteristics of the participants in subgroups 1 (n = 2,358) and 2 (n = 1,491). Participants in subgroup 1 had poorer physical attributes, higher LBP and leg pain intensities, more negative psychological attributes, and higher disability compared to subgroup 2 (Table 1).

      3.1 Measurement model

      The tested measurement model and associated standardized regression weights are reported in Figure 2. Fit for the measurement model was excellent (RMSEA = 0.037, CFI = 0.970, SRMR = 0.034, and NNFI = 0.956).

      3.2 Adequacy of fit of path models

      Fig. 3, Fig. 4, Fig. 5 report the data-driven structural component of the path models using BN modeling, while the standardized regression weights are those quantified using SEM. For the whole cohort (Fig. 3), SEM had fit values of RMSEA = 0.046, CFI = 0.948, SRMR = 0.035, and NNFI = 0.946, indicating an excellent fit. For subgroup 1 (Fig. 4), SEM had fit values of RMSEA = 0.047, CFI = 0.915, SRMR = 0.038, and NNFI = 0.912, indicating an excellent fit. For subgroup 2 (Fig. 5), SEM had fit values of RMSEA = 0.061, CFI = 0.820, SRMR = 0.056, N and NFI = 0.822, reflecting an inadequate model fit.
      Figure thumbnail gr3
      Fig. 3Network learnt from group-level data using both BN and SEM. Variables surrounded by a square box are observed variables, whille those in a circle are latent variables. Dotted arrows reflect fixed relationships. ∗- P < 0.05, ∗∗- P < 0.01, ∗∗∗- P < 0.001. Abbreviations: abs_ms, abdominal muscle endurance; ext_ms, extensor muscle endurance; flex_mobility, flexion spinal mobility; lbp, LBP intensity; legp, leg pain intensity; duration, duration of pain symptoms; ipq, illness perception questionnaire; fabq, fear avoidance behavior questionnaire; ases, arthritis self-efficacy scale; ODI, Oswestry Disability Index.
      Figure thumbnail gr4
      Fig. 4Network learnt from subgroup 1 data using both BN and SEM. Variables surrounded by a square box are observed variables, whilst those in a circle are latent variables. Dotted arrows reflect fixed relationships. ∗- P < 0.05, ∗∗- P < 0.01, ∗∗∗- P < 0.001. Abbreviations: abs_ms, abdominal muscle endurance; ext_ms, extensor muscle endurance; flex_mobility, flexion spinal mobility; lbp, LBP intensity; legp, leg pain intensity; duration, duration of pain symptoms; ipq, illness perception questionnaire; fabq, fear avoidance behavior questionnaire; ases, arthritis self-efficacy scale; odi, Oswestry Disability Index.
      Figure thumbnail gr5
      Fig. 5Network learnt from subgroup 2 data using both BN and SEM. Variables surrounded by a square box are observed variables, whille those in a circle are latent variables. Dotted arrows reflect fixed relationships. ∗- P < 0.05, ∗∗- P < 0.01, ∗∗∗- P < 0.001. Abbreviations: abs_ms, abdominal muscle endurance; ext_ms, extensor muscle endurance; flex_mobility, flexion spinal mobility; lbp, LBP intensity; legp, leg pain intensity; duration, duration of pain symptoms; ipq, illness perception questionnaire; fabq, fear avoidance behavior questionnaire; ases, arthritis self-efficacy scale; ODI, Oswestry Disability Index.

      3.3 Path coefficients

      For the whole cohort, the explained variance of disability, as measured by the Oswestry Disability Index (ODI) was R2 = 0.59. The variable most strongly associated with ODI was pain, where a 1 SD higher pain severity was associated with a 0.417 SD higher ODI (P < 0.001). Psychological factors were directly associated with ODI (β = 0.310 (P < 0.001)) and also indirectly via pain (Fig. 3, Table 2). A more negative psychological level was associated with higher pain severity (β = 0.734 (P < 0.001)), while higher pain severity was associated with higher ODI (Fig. 3, Table 2). For subgroup 1, the explained variance of ODI was R2 = 0.51. The variable most strongly associated with ODI was psychological factors, where a 1 SD more negative psychological path level was associated with a 0.363 SD higher ODI (P < 0.001) (Table 3). Physical was directly associated with ODI (β = −0.077 (P = 0.004)) and also indirectly via pain and psychological factors (Fig. 4, Table 3). Activity factor was directly associated with ODI (β = −0.203 (P < 0.001)) and also indirectly via the path of psychological factors, and the serial paths of physical and pain (Fig. 4, Table 3). For subgroup 2, the explained variance of ODI was R2 = 0.48. The variable most strongly associated with ODI was pain, where a 1 SD higher pain severity was associated with a 0.408 SD higher ODI (P < 0.001) (Table 4). Psychological path was commonly directly associated with physical (β = 0.078 (P = 0.025)), pain (β = 0.518 (P < 0.001)), activity (β = −0.101 (P = 0.006)), and ODI (β = 0.382 (P < 0.001)) (Fig. 5, Table 4).
      Table 2Standardized parameter estimates for whole cohort
      DVIVCoefSe2.5%97.5%PvalType
      Physicalabds_ms0.6220.0200.5830.6600.000LV
      Physicalext_ms0.7590.0210.7170.8000.000LV
      Physicalflex_mob−0.2450.023−0.289−0.2010.000LV
      PainLbp0.6450.0170.6120.6780.000LV
      Painlegp0.5020.0180.4670.5370.000LV
      PainDuration0.2950.0230.2490.3400.000LV
      PsychIpq0.8050.0120.7810.8280.000LV
      Psychfabq0.3880.0170.3550.4200.000LV
      Psychases−0.5810.015−0.610−0.5520.000LV
      ActivityFitness0.6060.0160.5750.6370.000LV
      ActivityEndure0.7500.0160.7180.7820.000LV
      ActivityBalance0.4970.0170.4630.5300.000LV
      ODIPsych0.3100.0360.2400.3790.000Reg
      ODIActivity−0.1860.016−0.217−0.1550.000Reg
      ODIPain0.4170.0360.3470.4880.000Reg
      ActivityGender−0.1960.019−0.233−0.1590.000Reg
      PhysicalActivity0.4500.0250.4010.4990.000Reg
      PainPsych0.7340.0220.6910.7770.000Reg
      PainAge0.0400.0200.0010.0800.045Reg
      ActivityPsych−0.3920.021−0.433−0.3520.000Reg
      PhysicalAge−0.0560.020−0.095−0.0180.004Reg
      PainGender0.0940.0220.0520.1360.000Reg
      PhysicalPain−0.3280.053−0.432−0.2240.000Reg
      PhysicalPsych0.1160.0530.0130.2200.028Reg
      PsychAge−0.0010.019−0.0390.0360.956Reg
      Abbreviations: IV, independent variable; DV, dependent variable; Coef, coefficient; 2.5%, lower boundary of 95% confidence interval; 97.5%, upper boundary of 95% confidence interval; Pval, P value; LV, latent variable; Reg, regression; abd_ms, abdominal muscle endurance; ext_ms, lumbar extensor muscle endurance; flex_mob, flexion mobility; lbp, low back pain intensity; legp, leg pain intensity; ipq, illness perception questionnaire; fabq, fear avoidance behavior questionnaire; ases, arthritis self-efficacy scale; ODI, oswestry disability index; psych, psychological factors.
      Table 3Standardized parameter estimates for subgroup 1
      DVIVCoefSe2.5%97.5%PvalType
      Physicalabds_ms0.6470.0290.5910.7040.000LV
      Physicalext_ms0.7670.0330.7040.8310.000LV
      Physicalflex_mob0.0200.028−0.0350.0750.481LV
      PainLbp0.6760.0260.6250.7280.000LV
      Painlegp0.4840.0240.4370.5300.000LV
      PainDuration0.1390.0350.0720.2070.000LV
      PsychIpq0.7660.0200.7260.8050.000LV
      Psychfabq0.3350.0230.2900.3790.000LV
      Psychases−0.5060.021−0.546−0.4650.000LV
      ActivityFitness0.5880.0220.5450.6310.000LV
      ActivityEndure0.7450.0250.6950.7950.000LV
      ActivityBalance0.3800.0230.3350.4240.000LV
      ODIActivity−0.2030.026−0.253−0.1530.000Reg
      ODIPain0.3400.0330.2760.4040.000Reg
      ODIPsych0.3630.0330.2990.4280.000Reg
      ODIPhysical−0.0770.027−0.129−0.0250.004Reg
      PainAge−0.0510.028−0.1050.0040.068Reg
      PhysicalActivity0.4210.0290.3650.4770.000Reg
      PsychPhysical0.0480.038−0.0260.1220.207Reg
      PsychPain0.5470.0330.4820.6110.000Reg
      PsychActivity−0.2660.036−0.336−0.1960.000Reg
      PainPhysical−0.1640.034−0.231−0.0980.000Reg
      ActivityGender−0.1370.025−0.187−0.0880.000Reg
      PsychGender−0.1760.026−0.227−0.1260.000Reg
      PhysicalAge−0.0600.025−0.109−0.0110.015Reg
      PsychAge−0.0230.026−0.0730.0270.373Reg
      Abbreviations: IV, independent variable; DV, dependent variable; Coef, coefficient; 2.5%, lower boundary of 95% confidence interval; 97.5%, upper boundary of 95% confidence interval; Pval, P value; LV, latent variable; Reg, regression; abd_ms, abdominal muscle endurance; ext_ms, lumbar extensor muscle endurance; flex_mob, flexion mobility; lbp, low back pain intensity; legp, leg pain intensity; ipq, illness perception questionnaire; fabq, fear avoidance behavior questionnaire; ases, arthritis self-efficacy scale; odi, oswestry disability index; psych, psychological factors.
      Table 4Standardized parameter estimates for subgroup 2
      DVIVCoefSe2.5%97.5%PvalType
      Physicalabds_ms0.9620.1460.6761.2480.000LV
      Physicalext_ms0.4790.0750.3330.6250.000LV
      Physicalflex_mob0.0010.036−0.0700.0720.982LV
      PainLbp0.7090.0390.6320.7850.000LV
      PainLegp0.4160.0280.3610.4700.000LV
      PainDuration−0.0720.038−0.1460.0030.059LV
      PsychIpq0.8720.0260.8210.9230.000LV
      PsychFabq0.2950.0280.2390.3500.000LV
      Psychases−0.4370.023−0.483−0.3910.000LV
      ActivityFitness0.7140.0360.6440.7850.000LV
      ActivityEndure0.7080.0360.6380.7790.000LV
      ActivityBalance0.3080.0280.2520.3630.000LV
      ODIPsych0.3820.0400.3040.4600.000Reg
      ODIPain0.4080.0440.3220.4940.000Reg
      PainAge0.0270.035−0.0430.0960.453Reg
      ODIPhysical−0.0310.024−0.0780.0160.193Reg
      PainPsych0.5180.0430.4330.6030.000Reg
      ODIGender0.0540.0260.0040.1050.035Reg
      ActivityPsych−0.1010.036−0.172−0.0300.006Reg
      ODIAge−0.0190.023−0.0650.0270.422Reg
      PhysicalActivity0.1850.0410.1050.2660.000Reg
      PhysicalPsych0.0780.0350.0100.1460.025Reg
      Abbreviations: IV, independent variable; DV, dependent variable; Coef, coefficient; 2.5%, lower boundary of 95% confidence interval; 97.5%, upper boundary of 95% confidence interval; Pval, P value; LV, latent variable; Reg, regression; abd_ms, abdominal muscle endurance; ext_ms, lumbar extensor muscle endurance; flex_mob, flexion mobility; lbp, low back pain intensity; legp, leg pain intensity; ipq, illness perception questionnaire; fabq, fear avoidance behavior questionnaire; ases, arthritis self-efficacy scale; odi, oswestry disability index; psych, psychological factors.

      4. Discussion

      The large sample size of the cohort made it possible to identify potential subgroups to understand distinct mechanisms underpinning disability in people with LBP. First, our model suggested that for individuals with worse overall symptoms, psychological factors were influenced by pain and physical factors, whereas pain and physical factors were influenced by psychological factors in those with milder symptoms. Second, our model suggested that physical factors directly influenced pain, psychological factors, and disability only in the group with worse symptoms. These are two unique and important contributions to the understanding of the mechanisms underpinning disability in LBP [
      • Lee H.
      • Hubscher M.
      • Moseley G.L.
      • Kamper S.J.
      • Traeger A.C.
      • Mansell G.
      • et al.
      How does pain lead to disability? A systematic review and meta-analysis of mediation studies in people with back and neck pain.
      ,
      • Alaiti R.K.
      • Castro J.
      • Lee H.
      • Caneiro J.P.
      • Vlaeyen J.W.S.
      • Kamper S.J.
      • et al.
      What are the mechanisms of action of cognitive-behavioral, mind-body, and exercise-based interventions for pain and disability in people with chronic primary musculoskeletal pain?: a systematic review of mediation studies from randomized controlled trials.
      ]. Somewhat surprisingly, using a combination of data-driven clustering and structural learning algorithms resulted in a poorer SEM statistical fit in subgroup 2 (e.g., RMSEA = 0.061), compared to the fit derived from the group-level and subgroup 1 analyses (e.g., RMSEA = 0.047). The deterioration in statistical fit in subgroup 2 could be attributed to a smaller sample size of n = 1491 compared to the group size of n = 3849.
      Psychological, physical, activity, pain, and disability factors either worsened or improved together in both subgroups [
      • Yadollahpour N.
      • Zahednejad S.
      • Yazdi M.J.S.
      • Esfandiarpour F.
      Clustering of patients with chronic low back pain in terms of physical and psychological factors: a cross-sectional study based on the STarT Back Screening Tool.
      ,
      • Butera K.A.
      • Fox E.J.
      • Bishop M.D.
      • Coombes S.A.
      • George S.Z.
      Empirically derived back pain subgroups differentiated walking performance, pain, and disability.
      ]. One study which used K-means clustering reported that the “severe physical-psychological” group had a worse self-reported physical impairment, psychological distress, and pain levels than the “mild” group [
      • Yadollahpour N.
      • Zahednejad S.
      • Yazdi M.J.S.
      • Esfandiarpour F.
      Clustering of patients with chronic low back pain in terms of physical and psychological factors: a cross-sectional study based on the STarT Back Screening Tool.
      ]. Another study that used hierarchical clustering reported that the “maladaptive” group had a low positive affect, atypical trunk muscle activity, and higher pain intensity than an “adaptive” subgroup [
      • Butera K.A.
      • Fox E.J.
      • Bishop M.D.
      • Coombes S.A.
      • George S.Z.
      Empirically derived back pain subgroups differentiated walking performance, pain, and disability.
      ]. An interesting observation in that study was that the link between physical factors and pain was present only in the subgroup with the poorer psychological state. In treatments like cognitive functional therapy [
      • O'Sullivan P.B.
      • Caneiro J.P.
      • O'Keeffe M.
      • Smith A.
      • Dankaerts W.
      • Fersum K.
      • et al.
      Cognitive functional therapy: an integrated behavioral approach for the targeted management of disabling low back pain.
      ], the rationale for treating both psychological and physical factors is that negative psychological factors can result in physical impairment [
      • Karayannis N.V.
      • Smeets R.J.
      • van den Hoorn W.
      • Hodges P.W.
      Fear of movement is related to trunk stiffness in low back pain.
      ], which results in greater pain. The present study's findings suggest that poor physical health and activity levels are not only a consequence, but may also be a predictor of pain and disability that is partially explained by psychological health, even in people with poorer psychological states.
      In subgroup 1, where symptoms and signs were worse than in subgroup 2, the model suggested that the physical factors directly affected the psychological factors and also indirectly via the pain factor. This implies that an intervention that attempts to improve the average value of the physical factors over a period of time, can expect to result in improvements in the average value of the psychological factors, part of which can be attributed to the intermediary effect of pain (i.e., “between-subject” effect) [
      • Epskamp S.
      • Waldorp L.J.
      • Mõttus R.
      • Borsboom D.
      The Gaussian graphical model in cross-sectional and time-series data.
      ]. Alternatively, if the observed associations reflect a within-person process, an intervention that attempts to improve the physical factors now can expect to find improvements in the psychological factors shortly after (i.e., “within-subject” effect) [
      • Epskamp S.
      • Waldorp L.J.
      • Mõttus R.
      • Borsboom D.
      The Gaussian graphical model in cross-sectional and time-series data.
      ]. Given that cross-sectional studies cannot distinguish between and/or within-subject effects [
      • Epskamp S.
      • Waldorp L.J.
      • Mõttus R.
      • Borsboom D.
      The Gaussian graphical model in cross-sectional and time-series data.
      ], longitudinal investigations will be required to determine if the present findings reflect between and/or within-subject effects. The majority of the study's sample has had pain >3 months, and the average pain intensity stabilizes after 3 months [
      • Kongsted A.
      • Kent P.
      • Axen I.
      • Downie A.S.
      • Dunn K.M.
      What have we learned from ten years of trajectory research in low back pain?.
      ]. If the average values of the variables included in the present study are relatively stable across time, then our findings can be interpreted through the lens of “between-subjects effects”. Based on our subgroup 1 network, it suggests that treatment should focus on improving the long-term average values of the physical and activity factors. Some models suggest that treatment should focus on managing psychological factors to affect changes in physical factors [
      • Christe G.
      • Crombez G.
      • Edd S.
      • Opsommer E.
      • Jolles B.M.
      • Favre J.
      Relationship between psychological factors and spinal motor behaviour in low back pain: a systematic review and meta-analysis.
      ], however, evidence suggests that psychological interventions are more effective when combined with physical elements such as exercise [
      • Ho E.K.-Y.
      • Chen L.
      • Simic M.
      • Ashton-James C.E.
      • Comachio J.
      • Wang D.X.M.
      • et al.
      Psychological interventions for chronic, non-specific low back pain: systematic review with network meta-analysis.
      ].
      The present findings of an association between physical factors and disability, partially contradict a systematic review that found that there was no consistent relationship linking changes in spinal mobility and muscle endurance, and a change in disability in LBP [
      • Steiger F.
      • Wirth B.
      • de Bruin E.D.
      • Mannion A.F.
      Is a positive clinical outcome after exercise therapy for chronic non-specific low back pain contingent upon a corresponding improvement in the targeted aspect(s) of performance? A systematic review.
      ]. Primary studies which investigated the correlation between changes in physical factors and disability [
      • Steiger F.
      • Wirth B.
      • de Bruin E.D.
      • Mannion A.F.
      Is a positive clinical outcome after exercise therapy for chronic non-specific low back pain contingent upon a corresponding improvement in the targeted aspect(s) of performance? A systematic review.
      ,
      • Mannion A.F.
      • Caporaso F.
      • Pulkovski N.
      • Sprott H.
      Spine stabilisation exercises in the treatment of chronic low back pain: a good clinical outcome is not associated with improved abdominal muscle function.
      ], have not considered whether such associations are more prevalent in some clinical subgroups, nor have considered the simultaneous effect of multiple physical factors in a latent variable model on disability, like in the present study. Also, existing studies have investigated the association between the change scores over time of physical factors and disability [
      • Steiger F.
      • Wirth B.
      • de Bruin E.D.
      • Mannion A.F.
      Is a positive clinical outcome after exercise therapy for chronic non-specific low back pain contingent upon a corresponding improvement in the targeted aspect(s) of performance? A systematic review.
      ]. Change score reduces between-subject variance, which could explain why the present study reported an association between physical factors and disability. The present findings of a close link between physical-psychological factors in their association with disability support the evidence that psychological therapies for LBP is more effective, when delivered in conjunction with exercise [
      • Ho E.K.-Y.
      • Chen L.
      • Simic M.
      • Ashton-James C.E.
      • Comachio J.
      • Wang D.X.M.
      • et al.
      Psychological interventions for chronic, non-specific low back pain: systematic review with network meta-analysis.
      ].
      Interventions used in individuals with chronic musculoskeletal pain have purported therapeutic targets, that when intervened upon, are expected to positively improve the patient's symptoms and disability [
      • Alaiti R.K.
      • Castro J.
      • Lee H.
      • Caneiro J.P.
      • Vlaeyen J.W.S.
      • Kamper S.J.
      • et al.
      What are the mechanisms of action of cognitive-behavioral, mind-body, and exercise-based interventions for pain and disability in people with chronic primary musculoskeletal pain?: a systematic review of mediation studies from randomized controlled trials.
      ]. Hence, the directionality of the effect between physical, psychological, and pain variables is of paramount importance, given that it suggests which variables should be proximally targeted to change a therapeutic outcome. Current investigations on the relationship between psychological and physical factors have assumed that the former predicts the latter [
      • Karayannis N.V.
      • Smeets R.J.
      • van den Hoorn W.
      • Hodges P.W.
      Fear of movement is related to trunk stiffness in low back pain.
      ,
      • Christe G.
      • Crombez G.
      • Edd S.
      • Opsommer E.
      • Jolles B.M.
      • Favre J.
      Relationship between psychological factors and spinal motor behaviour in low back pain: a systematic review and meta-analysis.
      ]. However, it is also not unreasonable that some physical factors could drive negative psychological symptoms. For example, individuals with low muscular endurance may experience reduced self-efficacy in performing physical activities without pain. The directional relationship between physical, psychological, activity, and pain factors may depend on the type of variables investigated.
      Whereas subgroup 1 revealed a network where psychological factors explained the pain-disability relationship [
      • Lee H.
      • Hubscher M.
      • Moseley G.L.
      • Kamper S.J.
      • Traeger A.C.
      • Mansell G.
      • et al.
      How does pain lead to disability? A systematic review and meta-analysis of mediation studies in people with back and neck pain.
      ,
      • Mühlhauser Y.
      • Vogt L.
      • Niederer D.
      How and how fast does pain lead to disability? A multilevel mediation analysis on structural, temporal and biopsychosocial pathways in patients with chronic nonspecific low back pain.
      ], at the group-level analysis and also in the less severe subgroup 2, it was pain that explained the psychological-disability factor relationship. From a “between-subjects” lens, our results suggest that an intervention to improve the average value of the psychological factors over a period can expect to improve the average value of disability, part of which can be attributed to pain. This has indirect support from prognostic stratified treatment subgroups, like the STarT back approach [
      • Hill J.C.
      • Whitehurst D.G.
      • Lewis M.
      • Bryan S.
      • Dunn K.M.
      • Foster N.E.
      • et al.
      Comparison of stratified primary care management for low back pain with current best practice (STarT Back): a randomised controlled trial.
      ]. Psychological-based interventions have been recommended for “high-risk” individuals [
      • Hay E.M.
      • Dunn K.M.
      • Hill J.C.
      • Lewis M.
      • Mason E.E.
      • Konstantinou K.
      • et al.
      A randomised clinical trial of subgrouping and targeted treatment for low back pain compared with best current care. The STarT Back Trial Study Protocol.
      ] based on the assumption that psychological factors explain the treatment effect on disability. Targeting of pain and physical characteristics has been recommended for “medium-risk” individuals [
      • Hay E.M.
      • Dunn K.M.
      • Hill J.C.
      • Lewis M.
      • Mason E.E.
      • Konstantinou K.
      • et al.
      A randomised clinical trial of subgrouping and targeted treatment for low back pain compared with best current care. The STarT Back Trial Study Protocol.
      ]. This aligns with our findings in subgroup 2, but given that the model fit in subgroup 2 was inadequate, we are cautious to make interpretations from these findings.
      This study has several limitations. First, being a cross-sectional study, extrapolating our findings to longitudinal changes over time within a participant should be done with caution. The present findings should be interpreted within an exploratory causal hypothesis generation framework. To date, it is still uncertain how quickly physical, psychological, activity, and function factors influence each other [
      • Mühlhauser Y.
      • Vogt L.
      • Niederer D.
      How and how fast does pain lead to disability? A multilevel mediation analysis on structural, temporal and biopsychosocial pathways in patients with chronic nonspecific low back pain.
      ]. For example, kinesiophobia and depression predicted disability when both these variables were measured at the same time and not when they were measured 2 days apart [
      • Mühlhauser Y.
      • Vogt L.
      • Niederer D.
      How and how fast does pain lead to disability? A multilevel mediation analysis on structural, temporal and biopsychosocial pathways in patients with chronic nonspecific low back pain.
      ]. This suggests that kinesiophobia and depression affect disability in ≤48 hours [
      • Hartvigsen J.
      • Frederiksen H.
      • Christensen K.
      Physical and mental function and incident low back pain in seniors: a population-based two-year prospective study of 1387 Danish Twins aged 70 to 100 years.
      ]. Second, the relationship between our latent variables of pain, psychological, and physical factors may alter based on the observed variables collected. Presently, the latent variable of physical factors is comprised of muscle endurance and mobility measures. Hence, it was deemed biologically reasonable for it to both affect and be a result of the latent variable of psychological factors. A third limitation to the present study was that the influence of potential unmeasured variables, like sleep, on the variables included in the network analysis was not investigated.

      5. Conclusion

      Presently, pain and psychological factors directly predicted disability, regardless of symptom severity, albeit with different paths of action. Negative psychological features were more likely to be a consequence of pain and reduced physical factors in individuals with worse overall symptoms. In contrast, psychological features in individuals with milder overall symptoms were more likely to contribute to pain and negative physical factors. Notwithstanding that within-subject pathways cannot be established from cross-sectional data, data-driven structural learning of subgroup-specific pathways may open the doors toward more optimal individualized treatments to better manage a complex disorder like LBP.

      Supplementary data

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