OSCR

Intensive versus standard blood pressure control and overall brain small vessel disease burden: a post-hoc analysis of the SPRINT randomized clinical trial.

Code ↔ Paper

7 matches between paragraphs of the paper and lines of its authors' code, computed by the harvester (lexical-v1). Click a colored paragraph or line to see its counterpart.

The 7 matches
  1. [1] § Methods › Trial design and participants ↔ SVD_SPRINT_Git_20260705.R, lines 1–51 · score 0.88 · glomerular filtration rate, subclinical cardiovascular disease, mmHg, bodies, medications, visit
  2. [2] § Results › Attained SBP reduction and SVD change ↔ SVD_SPRINT_Git_20260705.R, lines 1–51 · score 0.87 · systolic blood pressure, basal ganglia perivascular, Dummy variables, periventricular white matter, baseline age, free water
  3. [3] § Methods › Statistical analysis › Sensitivity analyses ↔ SVD_SPRINT_Git_20260705.R, lines 1228–1275 · score 0.70 · auxiliary variables, available baseline MRI, LCS models, ICV, race, likelihood
  4. [4] § Methods › Statistical analysis › Effect of treatment assignment on SVD burden ↔ SVD_SPRINT_Git_20260705.R, lines 683–721 · score 0.68 · square root, model implied, variance, regressions, Score, covariates
  5. [5] § Methods › Statistical analysis › SVD measurement model and invariance testing strategy ↔ SVD_SPRINT_Git_20260705.R, lines 267–307 · score 0.64 · examine conceptually plausible, DIF, MIMIC, invariance, fit, latent
  6. [6] § Results › SVD measurement model and longitudinal measurement invariance ↔ SVD_SPRINT_Git_20260705.R, lines 53–93 · score 0.55 · configural invariance model, measurement invariance, metric, scalar, longitudinal, covariance
  7. [7] § Results › Effect of treatment assignment on SVD burden ↔ SVD_SPRINT_Git_20260705.R, lines 1228–1275 · score 0.51 · available baseline MRI, change score, SVD burden, LCS model, Cohen, treatment

Paper

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The authors' code

R · 1,639 lines · 56 KB · no license · 7 matches

  1. # Load required libraries
  2. libraries <- c(
  3. 'tidyverse',
  4. 'lavaan',
  5. 'semTools',
  6. 'semPlot',
  7. 'semptools',
  8. 'parallel'
  9. )
  10. invisible(lapply(libraries, require, character.only = TRUE))
  11. rm(libraries)
  12. #//----- VARIABLE DICTIONARY -----
  13. # wide0: SPRINT dataset in wide format with participants who completed baseline MRI scan that passed quality control and had complete data on SVD indicators
  14. # wide01: SPRINT dataset in wide format with participants who completed both baseline and follow-up MRI scans that passed quality control and had complete data on SVD indicators
  15. # r_pvwml.0: rescaled periventricular white matter hyperintensity volume at baseline
  16. # r_pvwml.1: rescaled periventricular white matter hyperintensity volume at follow-up
  17. # r_fw.0: rescaled mean white matter free water at baseline
  18. # r_fw.1: rescaled mean white matter free water at follow-up
  19. # r_bgepvsc.0: rescaled basal ganglia perivascular space count at baseline
  20. # r_bgepvsc.1: rescaled basal ganglia perivascular space count at follow-up
  21. # r_pvwmln.0: rescaled ROI volume-normalized periventricular white matter hyperintensity volume at baseline
  22. # r_pvwmln.1: rescaled ROI volume-normalized periventricular white matter hyperintensity volume at follow-up
  23. # r_bgepvscn.0: rescaled ROI volume-normalized basal ganglia perivascular space count at baseline
  24. # r_bgepvscn.1: rescaled ROI volume-normalized basal ganglia perivascular space count at follow-up
  25. # age.c.0: mean-centered baseline age
  26. # time_years.1: time of follow-up (in years)
  27. # treat: intensive (vs standard) BP group assignment binary indicator
  28. # female: female sex binary indicator
  29. # r_icv.0: rescaled total intracranial volume at baseline
  30. # race: dummy variable vector for race/ethnicity with "White" as reference
  31. # edu: dummy variable vector for education with "College degree" as reference
  32. # smk: dummy variable vector for smoking with "Never" as reference
  33. # polyph: dummy variable vector for polypharmacy with "<5 medications" as reference
  34. # sub_cvd: subclinical cardiovascular disease binary indicator
  35. # sbp: systolic blood pressure at baseline visit
  36. # dbp: diastolic blood pressure at baseline visit
  37. # BMI: body mass index
  38. # HDL: fasting high-density lipoprotein cholesterol
  39. # result_CO2: serum bicarbonate
  40. # egfr: estimated glomerular filtration rate
  41. # log2_umalcr: log urine albumin-to-creatinine ratio
  42. # lm_delayed1: logical memory delayed score
  43. # sbp_group_1: dummy variable indicating attained SBP change from baseline of 0-10 mmHg
  44. # sbp_group_2: dummy variable indicating attained SBP change from baseline of 10-20 mmHg
  45. # sbp_group_3: dummy variable indicating attained SBP change from baseline of ≥20 mmHg
  46. # sbp_group_n: numeric attained SBP change group variable for linear trend calculation
  47. # sbp_delta: attained SBP change from baseline (continuous variable)
  48. #//--------------------------------------------------------------------------- START OF ANALYTIC CODE ---------------------------------------------------------------------------//
  49. #//-------------------------------------------- ANALYSES 3.2: SVD MEASUREMENT MODEL AND LONGITUDINAL MEASUREMENT INVARIANCE --------------------------------------------
  50. #//----- LONGITUDINAL INVARIANCE TESTING WITH RAW SVD INDICATORS -----
  51. # Testing for configural, metric (weak), and scalar (strong) measurement invariance using longitudinal CFA models for multiple indicator data
  52. # Configural invariance model (model 1)
  53. model1 <-paste0('
  54. # Measurement model for svd in time 0
  55. svd_0 =~ 1*r_pvwml.0 + fw.0*r_fw.0 + bg.0*r_bgepvsc.0
  56. # Measurement model for svd in time 1
  57. svd_1 =~ 1*r_pvwml.1 + fw.1*r_fw.1 + bg.1*r_bgepvsc.1
  58. # Mean structure specification
  59. r_pvwml.0 ~ ipv.0*1
  60. r_fw.0 ~ ifw.0*1
  61. r_bgepvsc.0 ~ ibg.0*1
  62. r_pvwml.1 ~ ipv.1*1
  63. r_fw.1 ~ ifw.1*1
  64. r_bgepvsc.1 ~ ibg.1*1
  65. # Residual covariances
  66. r_pvwml.0 ~~ r_pvwml.1
  67. r_fw.0 ~~ r_fw.1
  68. r_bgepvsc.0 ~~ r_bgepvsc.1
  69. # Latent variable means
  70. svd_0 ~ 0*1
  71. svd_1 ~ 0*1
  72. ')
  73. # Metric (weak) invariance model (model 2)
  74. model2 <-paste0('
  75. # Measurement model for svd in time 0
  76. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  77. # Measurement model for svd in time 1
  78. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  79. # Mean structure specification
  80. r_pvwml.0 ~ ipv.0*1
  81. r_fw.0 ~ ifw.0*1
  82. r_bgepvsc.0 ~ ibg.0*1
  83. r_pvwml.1 ~ ipv.1*1
  84. r_fw.1 ~ ifw.1*1
  85. r_bgepvsc.1 ~ ibg.1*1
  86. # Residual covariances
  87. r_pvwml.0 ~~ r_pvwml.1
  88. r_fw.0 ~~ r_fw.1
  89. r_bgepvsc.0 ~~ r_bgepvsc.1
  90. # Latent variable means
  91. svd_0 ~ 0*1
  92. svd_1 ~ 0*1
  93. ')
  94. # Scalar (strong) invariance model (model 3)
  95. model3 <-('
  96. # Measurement model for svd in time 0
  97. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  98. # Measurement model for svd in time 1
  99. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  100. # Mean structure specification
  101. r_pvwml.0 ~ ipv*1
  102. r_fw.0 ~ ifw*1
  103. r_bgepvsc.0 ~ ibg*1
  104. r_pvwml.1 ~ ipv*1
  105. r_fw.1 ~ ifw*1
  106. r_bgepvsc.1 ~ ibg*1
  107. # Residual covariances
  108. r_pvwml.0 ~~ r_pvwml.1
  109. r_fw.0 ~~ r_fw.1
  110. r_bgepvsc.0 ~~ r_bgepvsc.1
  111. # Latent variable means
  112. svd_0 ~ 0*1
  113. svd_1 ~ 1
  114. ')
  115. # Fit longitudinal CFA models with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  116. fit1 <- lavaan::sem(model1, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  117. fit2 <- lavaan::sem(model2, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  118. fit3 <- lavaan::sem(model3, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  119. # Compare model fit indices
  120. fitm1 <- fitmeasures(fit1, fit.measures = c("chisq.scaled", "pvalue.scaled",
  121. "cfi.robust", "rmsea.robust", "srmr"))
  122. fitm2 <- fitmeasures(fit2, fit.measures = c("chisq.scaled", "pvalue.scaled",
  123. "cfi.robust", "rmsea.robust", "srmr"))
  124. fitm3 <- fitmeasures(fit3, fit.measures = c("chisq.scaled", "pvalue.scaled",
  125. "cfi.robust", "rmsea.robust", "srmr"))
  126. fitm_all <- as.data.frame(rbind(fitm1, fitm2, fitm3))
  127. fitm_all <- fitm_all %>% mutate(across(where(is.numeric), function(x) {round(x, 3)}))
  128. print(fitm_all) # Supplemental Table 4; Models 1, 2, and 3
  129. # Display model summaries
  130. summary(fit1, fit.measures = TRUE, standardized = TRUE)
  131. summary(fit2, fit.measures = TRUE, standardized = TRUE)
  132. summary(fit3, fit.measures = TRUE, standardized = TRUE)
  133. #//----- LONGITUDINAL INVARIANCE TESTING WITH ROI VOLUME-NORMALIZED INDICATORS -----
  134. # Testing for configural, metric (weak), and scalar (strong) measurement invariance using longitudinal CFA models for multiple indicator data
  135. # Configural invariance model (model 4)
  136. model4 <-paste0('
  137. # Measurement model for svd in time 0
  138. svd_0 =~ 1*r_pvwmln.0 + fw.0*r_fw.0 + bg.0*r_bgepvscn.0
  139. # Measurement model for svd in time 1
  140. svd_1 =~ 1*r_pvwmln.1 + fw.1*r_fw.1 + bg.1*r_bgepvscn.1
  141. # Mean structure specification
  142. r_pvwmln.0 ~ ipv.0*1
  143. r_fw.0 ~ ifw.0*1
  144. r_bgepvscn.0 ~ ibg.0*1
  145. r_pvwmln.1 ~ ipv.1*1
  146. r_fw.1 ~ ifw.1*1
  147. r_bgepvscn.1 ~ ibg.1*1
  148. # Residual covariances
  149. r_pvwmln.0 ~~ r_pvwmln.1
  150. r_fw.0 ~~ r_fw.1
  151. r_bgepvscn.0 ~~ r_bgepvscn.1
  152. # Latent variable means
  153. svd_0 ~ 0*1
  154. svd_1 ~ 0*1
  155. ')
  156. # Metric (weak) invariance model (model 5)
  157. model5 <-paste0('
  158. # Measurement model for svd in time 0
  159. svd_0 =~ 1*r_pvwmln.0 + fw*r_fw.0 + bg*r_bgepvscn.0
  160. # Measurement model for svd in time 1
  161. svd_1 =~ 1*r_pvwmln.1 + fw*r_fw.1 + bg*r_bgepvscn.1
  162. # Mean structure specification
  163. r_pvwmln.0 ~ ipv.0*1
  164. r_fw.0 ~ ifw.0*1
  165. r_bgepvscn.0 ~ ibg.0*1
  166. r_pvwmln.1 ~ ipv.1*1
  167. r_fw.1 ~ ifw.1*1
  168. r_bgepvscn.1 ~ ibg.1*1
  169. # Residual covariances
  170. r_pvwmln.0 ~~ r_pvwmln.1
  171. r_fw.0 ~~ r_fw.1
  172. r_bgepvscn.0 ~~ r_bgepvscn.1
  173. # Latent variable means
  174. svd_0 ~ 0*1
  175. svd_1 ~ 0*1
  176. ')
  177. # Scalar (strong) invariance model (model 6)
  178. model6 <-('
  179. # Measurement model for svd in time 0
  180. svd_0 =~ 1*r_pvwmln.0 + fw*r_fw.0 + bg*r_bgepvscn.0
  181. # Measurement model for svd in time 1
  182. svd_1 =~ 1*r_pvwmln.1 + fw*r_fw.1 + bg*r_bgepvscn.1
  183. # Mean structure specification
  184. r_pvwmln.0 ~ ipv*1
  185. r_fw.0 ~ ifw*1
  186. r_bgepvscn.0 ~ ibg*1
  187. r_pvwmln.1 ~ ipv*1
  188. r_fw.1 ~ ifw*1
  189. r_bgepvscn.1 ~ ibg*1
  190. # Residual covariances
  191. r_pvwmln.0 ~~ r_pvwmln.1
  192. r_fw.0 ~~ r_fw.1
  193. r_bgepvscn.0 ~~ r_bgepvscn.1
  194. # Latent variable means
  195. svd_0 ~ 0*1
  196. svd_1 ~ 1
  197. ')
  198. # Fit longitudinal CFA models with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  199. fit4 <- lavaan::sem(model4, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  200. fit5 <- lavaan::sem(model5, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  201. fit6 <- lavaan::sem(model6, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  202. # Compare model fit indices
  203. fitm4 <- fitmeasures(fit4, fit.measures = c("chisq.scaled", "pvalue.scaled",
  204. "cfi.robust", "rmsea.robust", "srmr"))
  205. fitm5 <- fitmeasures(fit5, fit.measures = c("chisq.scaled", "pvalue.scaled",
  206. "cfi.robust", "rmsea.robust", "srmr"))
  207. fitm6 <- fitmeasures(fit6, fit.measures = c("chisq.scaled", "pvalue.scaled",
  208. "cfi.robust", "rmsea.robust", "srmr"))
  209. fitm_all <- as.data.frame(rbind(fitm4, fitm5, fitm6))
  210. fitm_all <- fitm_all %>% mutate(across(where(is.numeric), function(x) {round(x, 3)}))
  211. print(fitm_all) # Supplemental Table 4; Models 4, 5, and 6
  212. # Display model summaries
  213. summary(fit4, fit.measures = TRUE, standardized = TRUE)
  214. summary(fit5, fit.measures = TRUE, standardized = TRUE)
  215. summary(fit6, fit.measures = TRUE, standardized = TRUE)
  216. #//----- MULTIPLE INDICATORS MULTIPLE CAUSES (MIMIC) MODELS TO EXAMINE CONCEPTUALLY PLAUSIBLE SOURCES OF DIFFERENTIAL ITEM FUNCTIONING (DIF) OVER TIME -----
  217. # MIMIC Model for periventricular white matter hyperintensity volume (pvwml)
  218. # Metric (weak) invariance model with both direct and indirect (through SVD) effects of age on pvwml (modeldif_wml)
  219. modeldif_wml <-paste0('
  220. # Measurement model for svd in time 0
  221. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  222. # Measurement model for svd in time 1
  223. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  224. # Mean structure specification
  225. r_pvwml.0 ~ ipv.0*1
  226. r_fw.0 ~ ifw.0*1
  227. r_bgepvsc.0 ~ ibg.0*1
  228. r_pvwml.1 ~ ipv.1*1
  229. r_fw.1 ~ ifw.1*1
  230. r_bgepvsc.1 ~ ibg.1*1
  231. # Residual covariances
  232. r_pvwml.0 ~~ r_pvwml.1
  233. r_fw.0 ~~ r_fw.1
  234. r_bgepvsc.0 ~~ r_bgepvsc.1
  235. # Latent variable means
  236. svd_0 ~ 0*1
  237. svd_1 ~ 0*1
  238. # Regressions on age
  239. svd_0 ~ age.c.0
  240. svd_1 ~ age.c.0 + time_years.1
  241. r_pvwml.0 ~ age.c.0
  242. r_pvwml.1 ~ age.c.0 + time_years.1
  243. ')
  244. # Fit longitudinal MIMIC model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  245. fitdif_wml <- lavaan::sem(modeldif_wml, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  246. summary(fitdif_wml, fit.measures = TRUE, standardized = TRUE)
  247. # Path diagram for pvwml MIMIC model (Supplementary Figure 1; panel A)
  248. pl_mod <- semPlotModel(fitdif_wml)
  249. pl_par <- pl_mod@Pars
  250. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "int", ]), ]
  251. pl_mod@Pars <- pl_par
  252. plt <- semPaths(pl_mod, whatLabels = "est", residuals = FALSE, intStyle = "multi", sizeInt = 9, edge.label.cex = 1.2)
  253. plt$layout[1, ] <- c(-1, 0.6) #p.0
  254. plt$layout[2, ] <- c(-0.7, 0.6) #f.0
  255. plt$layout[3, ] <- c(-0.4, 0.6) #b.0
  256. plt$layout[4, ] <- c(0.2, 0.6) #p.1
  257. plt$layout[6, ] <- c(0.5, 0.6) #f.1
  258. plt$layout[7, ] <- c(0.8, 0.6) #b.1
  259. plt$layout[5, ] <- c(-1.3, -0.2) #age.c.0
  260. plt$layout[8, ] <- c(-0.1, -0.2) #dufu
  261. plt$layout[9, ] <- c(-0.7, -0.8) #s_0
  262. plt$layout[10, ] <- c(0.5, -0.8) #s_1
  263. plt$graphAttributes$Nodes$labels <- c("Perive-\nticular\nWMH\nt0", "WM\nFree\nWater\nt0", "Basal\nganglia\nPVS\nt0",
  264. "Perive-\nticular\nWMH\nt1", "Base-\nline\nage", "WM\nFree\nWater\nt1",
  265. "Basal\nganglia\nPVS\nt1", "Follow\nup\ntime",
  266. "SVD\nt0", "SVD\nt1")
  267. plt <- semptools::mark_sig(semPaths_plot = plt, object = fitdif_wml)
  268. plt$graphAttributes$Nodes$label.cex <- 2
  269. plt$graphAttributes$Edges$curve[c(7)] <- 2
  270. plt$graphAttributes$Edges$curve[16] <- -1
  271. plt$graphAttributes$Edges$label.margin[c(7:9)] <- -0.035
  272. plt$graphAttributes$Edges$edge.label.position[14] <- 0.8
  273. plt$graphAttributes$Edges$edge.label.position[17] <- 0.7
  274. plt$plotOptions$label.prop <- c(0.8, 0.8, 0.8, 0.8, 0.7, 0.8, 0.8, 0.7, 0.6, 0.6)
  275. plt$graphAttributes$Edges$color[c(1:6)] <- "coral"
  276. plt$graphAttributes$Edges$color[c(7:9)] <- "lightgreen"
  277. plt$graphAttributes$Edges$color[c(10:12)] <- "magenta2"
  278. plt$graphAttributes$Edges$color[c(13:15)] <- "skyblue"
  279. plot(plt)
  280. # MIMIC Model for mean white matter free water (fw)
  281. # Metric (weak) invariance model with both direct and indirect (through SVD) effects of age on fw (modeldif_fw)
  282. modeldif_fw <-paste0('
  283. # Measurement model for svd in time 0
  284. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  285. # Measurement model for svd in time 1
  286. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  287. # Mean structure specification
  288. r_pvwml.0 ~ ipv.0*1
  289. r_fw.0 ~ ifw.0*1
  290. r_bgepvsc.0 ~ ibg.0*1
  291. r_pvwml.1 ~ ipv.1*1
  292. r_fw.1 ~ ifw.1*1
  293. r_bgepvsc.1 ~ ibg.1*1
  294. # Residual covariances
  295. r_pvwml.0 ~~ r_pvwml.1
  296. r_fw.0 ~~ r_fw.1
  297. r_bgepvsc.0 ~~ r_bgepvsc.1
  298. # Latent variable means
  299. svd_0 ~ 0*1
  300. svd_1 ~ 0*1
  301. # Regressions on age
  302. svd_0 ~ age.c.0
  303. svd_1 ~ age.c.0 + time_years.1
  304. r_fw.0 ~ age.c.0
  305. r_fw.1 ~ age.c.0 + time_years.1
  306. ')
  307. # Fit longitudinal MIMIC model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  308. fitdif_fw <- lavaan::sem(modeldif_fw, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  309. summary(fitdif_fw, fit.measures = TRUE, standardized = TRUE)
  310. # Path diagram for fw MIMIC model (Supplementary Figure 1; panel B)
  311. pl_mod <- semPlotModel(fitdif_fw)
  312. pl_par <- pl_mod@Pars
  313. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "int", ]), ]
  314. pl_mod@Pars <- pl_par
  315. plt <- semPaths(pl_mod, whatLabels = "est", residuals = FALSE, intStyle = "multi", sizeInt = 9, edge.label.cex = 1.2)
  316. plt$layout[1, ] <- c(-1, 0.6) #p.0
  317. plt$layout[2, ] <- c(-0.7, 0.6) #f.0
  318. plt$layout[3, ] <- c(-0.4, 0.6) #b.0
  319. plt$layout[4, ] <- c(-1.3, -0.2) #age.c.0
  320. plt$layout[5, ] <- c(0.5, 0.6) #f.1
  321. plt$layout[6, ] <- c(0.2, 0.6) #p.1
  322. plt$layout[7, ] <- c(0.8, 0.6) #b.1
  323. plt$layout[8, ] <- c(-0.1, -0.2) #dufu
  324. plt$layout[9, ] <- c(-0.7, -0.8) #s_0
  325. plt$layout[10, ] <- c(0.5, -0.8) #s_1
  326. plt$graphAttributes$Nodes$labels <- c("Perive-\nticular\nWMH\nt0", "WM\nFree\nWater\nt0", "Basal\nganglia\nPVS\nt0",
  327. "Base-\nline\nage",
  328. "WM\nFree\nWater\nt1", "Perive-\nticular\nWMH\nt1", "Basal\nganglia\nPVS\nt1",
  329. "Follow\nup\ntime",
  330. "SVD\nt0", "SVD\nt1")
  331. plt <- semptools::mark_sig(semPaths_plot = plt, object = fitdif_fw)
  332. plt$graphAttributes$Nodes$label.cex <- 2
  333. plt$graphAttributes$Edges$curve[c(8)] <- 2
  334. plt$graphAttributes$Edges$curve[16] <- -1
  335. plt$graphAttributes$Edges$label.margin[c(7:9)] <- -0.035
  336. plt$graphAttributes$Edges$edge.label.position[14] <- 0.72
  337. plt$graphAttributes$Edges$edge.label.position[17] <- 0.7
  338. plt$plotOptions$label.prop <- c(0.8, 0.8, 0.8, 0.7, 0.8, 0.8, 0.8, 0.7, 0.6, 0.6)
  339. plt$graphAttributes$Edges$color[c(1:6)] <- "coral"
  340. plt$graphAttributes$Edges$color[c(7:9)] <- "lightgreen"
  341. plt$graphAttributes$Edges$color[c(10:12)] <- "magenta2"
  342. plt$graphAttributes$Edges$color[c(13:15)] <- "skyblue"
  343. plot(plt)
  344. # MIMIC Model for basal ganglia perivascular space count (bgepvsc)
  345. # Metric (weak) invariance model with both direct and indirect (through SVD) effects of age on bgepvsc (modeldif_pvs)
  346. modeldif_pvs <-paste0('
  347. # Measurement model for svd in time 0
  348. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  349. # Measurement model for svd in time 1
  350. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  351. # Mean structure specification
  352. r_pvwml.0 ~ ipv.0*1
  353. r_fw.0 ~ ifw.0*1
  354. r_bgepvsc.0 ~ ibg.0*1
  355. r_pvwml.1 ~ ipv.1*1
  356. r_fw.1 ~ ifw.1*1
  357. r_bgepvsc.1 ~ ibg.1*1
  358. # Residual covariances
  359. r_pvwml.0 ~~ r_pvwml.1
  360. r_fw.0 ~~ r_fw.1
  361. r_bgepvsc.0 ~~ r_bgepvsc.1
  362. # Latent variable means
  363. svd_0 ~ 0*1
  364. svd_1 ~ 0*1
  365. # Regressions on age
  366. svd_0 ~ age.c.0
  367. svd_1 ~ age.c.0 + time_years.1
  368. r_bgepvsc.0 ~ age.c.0
  369. r_bgepvsc.1 ~ age.c.0 + time_years.1
  370. ')
  371. # Fit longitudinal MIMIC model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  372. fitdif_pvs <- lavaan::sem(modeldif_pvs, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  373. summary(fitdif_pvs, fit.measures = TRUE, standardized = TRUE)
  374. # Path diagram for bgepvsc MIMIC model (Supplementary Figure 1; panel C)
  375. pl_mod <- semPlotModel(fitdif_pvs)
  376. pl_par <- pl_mod@Pars
  377. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "int", ]), ]
  378. pl_mod@Pars <- pl_par
  379. plt <- semPaths(pl_mod, whatLabels = "est", residuals = FALSE, intStyle = "multi", sizeInt = 9, edge.label.cex = 1.2)
  380. plt$layout[1, ] <- c(-1, 0.6) #p.0
  381. plt$layout[2, ] <- c(-0.7, 0.6) #f.0
  382. plt$layout[3, ] <- c(-0.4, 0.6) #b.0
  383. plt$layout[4, ] <- c(-1.3, -0.2) #age.c.0
  384. plt$layout[5, ] <- c(0.2, 0.6) #p.1
  385. plt$layout[6, ] <- c(0.8, 0.6) #b.1
  386. plt$layout[7, ] <- c(0.5, 0.6) #f.1
  387. plt$layout[8, ] <- c(-0.1, -0.2) #dufu
  388. plt$layout[9, ] <- c(-0.7, -0.8) #s_0
  389. plt$layout[10, ] <- c(0.5, -0.8) #s_1
  390. plt$graphAttributes$Nodes$labels <- c("Perive-\nticular\nWMH\nt0", "WM\nFree\nWater\nt0", "Basal\nganglia\nPVS\nt0",
  391. "Base-\nline\nage",
  392. "Perive-\nticular\nWMH\nt1", "Basal\nganglia\nPVS\nt1", "WM\nFree\nWater\nt1",
  393. "Follow\nup\ntime",
  394. "SVD\nt0", "SVD\nt1")
  395. plt <- semptools::mark_sig(semPaths_plot = plt, object = fitdif_pvs)
  396. plt$graphAttributes$Nodes$label.cex <- 2
  397. plt$graphAttributes$Edges$curve[c(9)] <- 2
  398. plt$graphAttributes$Edges$curve[16] <- -1
  399. plt$graphAttributes$Edges$label.margin[c(7:9)] <- -0.035
  400. plt$graphAttributes$Edges$edge.label.position[14] <- 0.6
  401. plt$graphAttributes$Edges$edge.label.position[17] <- 0.7
  402. plt$plotOptions$label.prop <- c(0.8, 0.8, 0.8, 0.7, 0.8, 0.8, 0.8, 0.7, 0.6, 0.6)
  403. plt$graphAttributes$Edges$color[c(1:6)] <- "coral"
  404. plt$graphAttributes$Edges$color[c(7:9)] <- "lightgreen"
  405. plt$graphAttributes$Edges$color[c(10:12)] <- "magenta2"
  406. plt$graphAttributes$Edges$color[c(13:15)] <- "skyblue"
  407. plot(plt)
  408. #//----- LONGITUDINAL INVARIANCE TESTING ACCOUNTING FOR TIME-VARYING AGE EFFECTS WITH RAW SVD INDICATORS -----
  409. # Testing for configural, metric (weak), and scalar (strong) measurement invariance using longitudinal CFA models for multiple indicator data
  410. # Configural invariance model (model 7)
  411. model7 <-paste0('
  412. r_pvwml.0 ~ age.c.0
  413. r_pvwml.1 ~ age.c.0 + time_years.1
  414. r_fw.0 ~ age.c.0
  415. r_fw.1 ~ age.c.0 + time_years.1
  416. r_bgepvsc.0 ~ age.c.0
  417. r_bgepvsc.1 ~ age.c.0 + time_years.1
  418. # Measurement model for svd in time 0
  419. svd_0 =~ 1*r_pvwml.0 + fw.0*r_fw.0 + bg.0*r_bgepvsc.0
  420. # Measurement model for svd in time 1
  421. svd_1 =~ 1*r_pvwml.1 + fw.1*r_fw.1 + bg.1*r_bgepvsc.1
  422. # Mean structure specification
  423. r_pvwml.0 ~ ipv.0*1
  424. r_fw.0 ~ ifw.0*1
  425. r_bgepvsc.0 ~ ibg.0*1
  426. r_pvwml.1 ~ ipv.1*1
  427. r_fw.1 ~ ifw.1*1
  428. r_bgepvsc.1 ~ ibg.1*1
  429. # Residual covariances
  430. r_pvwml.0 ~~ r_pvwml.1
  431. r_fw.0 ~~ r_fw.1
  432. r_bgepvsc.0 ~~ r_bgepvsc.1
  433. # Latent variable means
  434. svd_0 ~ 0*1
  435. svd_1 ~ 0*1
  436. ')
  437. # Metric (weak) invariance model (model 8)
  438. model8 <-paste0('
  439. r_pvwml.0 ~ age.c.0
  440. r_pvwml.1 ~ age.c.0 + time_years.1
  441. r_fw.0 ~ age.c.0
  442. r_fw.1 ~ age.c.0 + time_years.1
  443. r_bgepvsc.0 ~ age.c.0
  444. r_bgepvsc.1 ~ age.c.0 + time_years.1
  445. # Measurement model for svd in time 0
  446. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  447. # Measurement model for svd in time 1
  448. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  449. # Mean structure specification
  450. r_pvwml.0 ~ ipv.0*1
  451. r_fw.0 ~ ifw.0*1
  452. r_bgepvsc.0 ~ ibg.0*1
  453. r_pvwml.1 ~ ipv.1*1
  454. r_fw.1 ~ ifw.1*1
  455. r_bgepvsc.1 ~ ibg.1*1
  456. # Residual covariances
  457. r_pvwml.0 ~~ r_pvwml.1
  458. r_fw.0 ~~ r_fw.1
  459. r_bgepvsc.0 ~~ r_bgepvsc.1
  460. # Latent variable means
  461. svd_0 ~ 0*1
  462. svd_1 ~ 0*1
  463. ')
  464. # Scalar (strong) invariance model (model 9)
  465. model9 <-('
  466. r_pvwml.0 ~ age.c.0
  467. r_pvwml.1 ~ age.c.0 + time_years.1
  468. r_fw.0 ~ age.c.0
  469. r_fw.1 ~ age.c.0 + time_years.1
  470. r_bgepvsc.0 ~ age.c.0
  471. r_bgepvsc.1 ~ age.c.0 + time_years.1
  472. # Measurement model for svd in time 0
  473. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  474. # Measurement model for svd in time 1
  475. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  476. # Mean structure specification
  477. r_pvwml.0 ~ ipv*1
  478. r_fw.0 ~ ifw*1
  479. r_bgepvsc.0 ~ ibg*1
  480. r_pvwml.1 ~ ipv*1
  481. r_fw.1 ~ ifw*1
  482. r_bgepvsc.1 ~ ibg*1
  483. # Residual covariances
  484. r_pvwml.0 ~~ r_pvwml.1
  485. r_fw.0 ~~ r_fw.1
  486. r_bgepvsc.0 ~~ r_bgepvsc.1
  487. # Latent variable means
  488. svd_0 ~ 0*1
  489. svd_1 ~ 1
  490. ')
  491. # Fit longitudinal CFA models with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  492. fit7 <- lavaan::sem(model7, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  493. fit8 <- lavaan::sem(model8, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  494. fit9 <- lavaan::sem(model9, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  495. # Compare model fit indices
  496. fitm7 <- fitmeasures(fit7, fit.measures = c("chisq.scaled", "pvalue.scaled",
  497. "cfi.robust", "rmsea.robust", "srmr"))
  498. fitm8 <- fitmeasures(fit8, fit.measures = c("chisq.scaled", "pvalue.scaled",
  499. "cfi.robust", "rmsea.robust", "srmr"))
  500. fitm9 <- fitmeasures(fit9, fit.measures = c("chisq.scaled", "pvalue.scaled",
  501. "cfi.robust", "rmsea.robust", "srmr"))
  502. fitm_all <- as.data.frame(rbind(fitm7, fitm8, fitm9))
  503. fitm_all <- fitm_all %>% mutate(across(where(is.numeric), function(x) {round(x, 3)}))
  504. print(fitm_all) # Supplemental Table 4; Models 7, 8, and 9
  505. # Display model summaries
  506. summary(fit7, fit.measures = TRUE, standardized = TRUE)
  507. summary(fit8, fit.measures = TRUE, standardized = TRUE)
  508. summary(fit9, fit.measures = TRUE, standardized = TRUE)
  509. #//----- PARAMETER ESTIMATES FOR THE COVARIANCE AND MEAN STRUCTURE OF THE SVD MEASUREMENT MODEL -----
  510. # Supplemental Tables 5 and 6
  511. # Model summary
  512. sum <- summary(fit9, fit.measures = TRUE, standardized = TRUE, rsquare = TRUE)
  513. # Model diagnostics
  514. lavInspect(fit9, "sampstat") # sample covariance matrix
  515. lavInspect(fit9, "implied") # model-implied covariance matrix
  516. lavInspect(fit9, "resid") # difference between observed and model-implied covariance matrix (unstandardized and unscaled model residuals)
  517. lavResiduals(fit9, type = "cor.bentler")$cov # unstandardized model residuals after transformation to correlation matrix and rescaling (by dividing the elements by the square roots of the corresponding variances of the observed covariance matrix)
  518. lavResiduals(fit9, type = "cor.bentler")$cov.z # standardized model residuals after transformation to correlation matrix and rescaling (by dividing the elements by the square roots of the corresponding variances of the observed covariance matrix)
  519. modindices(fit9, sort. = TRUE, standardized = TRUE) # sorted (from largest to smallest) model modification indices
  520. lavTestScore(fit9, cumulative = TRUE) # Score test (or Lagrange Multiplier test) for releasing one or more fixed or constrained parameters in model
  521. # Display baseline and follow-up loadings
  522. load <- sum$pe[sum$pe$op == "=~", c("rhs", "est", "se", "std.all")]
  523. load <- load %>% mutate(across(where(is.numeric), function(x) {formatC(x, format = "f", digits = 3)}))
  524. print(load)
  525. # Display baseline and follow-up age regression coefficients
  526. reg <- sum$pe[sum$pe$op == "~", c("lhs", "rhs", "est", "se", "std.all")]
  527. reg <- reg %>% mutate(across(where(is.numeric), function(x) {formatC(x, format = "f", digits = 3)}))
  528. print(reg)
  529. # Display baseline and follow-up residual (error) variances
  530. er <- sum$pe[((sum$pe$op == "~~") & (sum$pe$lhs == sum$pe$rhs)), c("lhs", "rhs", "est", "se", "std.all")]
  531. er <- er %>% mutate(across(where(is.numeric), function(x) {formatC(x, format = "f", digits = 3)}))
  532. print(er)
  533. # Display factor covariance
  534. cov <- sum$pe[((sum$pe$op == "~~") & (sum$pe$lhs != sum$pe$rhs)), c("lhs", "op", "rhs", "est", "se", "std.all")]
  535. cov <- cov %>% mutate(across(where(is.numeric), function(x) {formatC(x, format = "f", digits = 3)}))
  536. print(cov)
  537. # Display intercepts
  538. int <- sum$pe[(sum$pe$op == "~1"), c("lhs", "op", "rhs", "est", "se", "std.all")]
  539. int <- int %>% mutate(across(where(is.numeric), function(x) {formatC(x, format = "f", digits = 3)}))
  540. print(int)
  541. #//----- LONGITUDINAL INVARIANCE TESTING ACCOUNTING FOR TIME-VARYING AGE EFFECTS WITH ROI VOLUME-NORMALIZED SVD INDICATORS -----
  542. # Testing for configural, metric (weak), and scalar (strong) measurement invariance using longitudinal CFA models for multiple indicator data
  543. # Configural invariance model (model 10)
  544. model10 <-paste0('
  545. r_pvwmln.0 ~ age.c.0
  546. r_pvwmln.1 ~ age.c.0 + time_years.1
  547. r_fw.0 ~ age.c.0
  548. r_fw.1 ~ age.c.0 + time_years.1
  549. r_bgepvscn.0 ~ age.c.0
  550. r_bgepvscn.1 ~ age.c.0 + time_years.1
  551. # Measurement model for svd in time 0
  552. svd_0 =~ 1*r_pvwmln.0 + fw.0*r_fw.0 + bg.0*r_bgepvscn.0
  553. # Measurement model for svd in time 1
  554. svd_1 =~ 1*r_pvwmln.1 + fw.1*r_fw.1 + bg.1*r_bgepvscn.1
  555. # Mean structure specification
  556. r_pvwmln.0 ~ ipv.0*1
  557. r_fw.0 ~ ifw.0*1
  558. r_bgepvscn.0 ~ ibg.0*1
  559. r_pvwmln.1 ~ ipv.1*1
  560. r_fw.1 ~ ifw.1*1
  561. r_bgepvscn.1 ~ ibg.1*1
  562. # Residual covariances
  563. r_pvwmln.0 ~~ r_pvwmln.1
  564. r_fw.0 ~~ r_fw.1
  565. r_bgepvscn.0 ~~ r_bgepvscn.1
  566. # Latent variable means
  567. svd_0 ~ 0*1
  568. svd_1 ~ 0*1
  569. ')
  570. # Metric (weak) invariance model (model 11)
  571. model11 <-paste0('
  572. r_pvwmln.0 ~ age.c.0
  573. r_pvwmln.1 ~ age.c.0 + time_years.1
  574. r_fw.0 ~ age.c.0
  575. r_fw.1 ~ age.c.0 + time_years.1
  576. r_bgepvscn.0 ~ age.c.0
  577. r_bgepvscn.1 ~ age.c.0 + time_years.1
  578. # Measurement model for svd in time 0
  579. svd_0 =~ 1*r_pvwmln.0 + fw*r_fw.0 + bg*r_bgepvscn.0
  580. # Measurement model for svd in time 1
  581. svd_1 =~ 1*r_pvwmln.1 + fw*r_fw.1 + bg*r_bgepvscn.1
  582. # Mean structure specification
  583. r_pvwmln.0 ~ ipv.0*1
  584. r_fw.0 ~ ifw.0*1
  585. r_bgepvscn.0 ~ ibg.0*1
  586. r_pvwmln.1 ~ ipv.1*1
  587. r_fw.1 ~ ifw.1*1
  588. r_bgepvscn.1 ~ ibg.1*1
  589. # Residual covariances
  590. r_pvwmln.0 ~~ r_pvwmln.1
  591. r_fw.0 ~~ r_fw.1
  592. r_bgepvscn.0 ~~ r_bgepvscn.1
  593. # Latent variable means
  594. svd_0 ~ 0*1
  595. svd_1 ~ 0*1
  596. ')
  597. # Scalar (strong) invariance model (model 12)
  598. model12 <-('
  599. r_pvwmln.0 ~ age.c.0
  600. r_pvwmln.1 ~ age.c.0 + time_years.1
  601. r_fw.0 ~ age.c.0
  602. r_fw.1 ~ age.c.0 + time_years.1
  603. r_bgepvscn.0 ~ age.c.0
  604. r_bgepvscn.1 ~ age.c.0 + time_years.1
  605. # Measurement model for svd in time 0
  606. svd_0 =~ 1*r_pvwmln.0 + fw*r_fw.0 + bg*r_bgepvscn.0
  607. # Measurement model for svd in time 1
  608. svd_1 =~ 1*r_pvwmln.1 + fw*r_fw.1 + bg*r_bgepvscn.1
  609. # Mean structure specification
  610. r_pvwmln.0 ~ ipv*1
  611. r_fw.0 ~ ifw*1
  612. r_bgepvscn.0 ~ ibg*1
  613. r_pvwmln.1 ~ ipv*1
  614. r_fw.1 ~ ifw*1
  615. r_bgepvscn.1 ~ ibg*1
  616. # Residual covariances
  617. r_pvwmln.0 ~~ r_pvwmln.1
  618. r_fw.0 ~~ r_fw.1
  619. r_bgepvscn.0 ~~ r_bgepvscn.1
  620. # Latent variable means
  621. svd_0 ~ 0*1
  622. svd_1 ~ 1
  623. ')
  624. # Fit longitudinal CFA models with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  625. fit10 <- lavaan::sem(model10, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  626. fit11 <- lavaan::sem(model11, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  627. fit12 <- lavaan::sem(model12, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  628. # Compare model fit indices
  629. fitm10 <- fitmeasures(fit10, fit.measures = c("chisq.scaled", "pvalue.scaled",
  630. "cfi.robust", "rmsea.robust", "srmr"))
  631. fitm11 <- fitmeasures(fit11, fit.measures = c("chisq.scaled", "pvalue.scaled",
  632. "cfi.robust", "rmsea.robust", "srmr"))
  633. fitm12 <- fitmeasures(fit12, fit.measures = c("chisq.scaled", "pvalue.scaled",
  634. "cfi.robust", "rmsea.robust", "srmr"))
  635. fitm_all <- as.data.frame(rbind(fitm10, fitm11, fitm12))
  636. fitm_all <- fitm_all %>% mutate(across(where(is.numeric), function(x) {round(x, 3)}))
  637. print(fitm_all) # Supplemental Table 4; Models 10, 11, and 12
  638. # Display model summaries
  639. summary(fit10, fit.measures = TRUE, standardized = TRUE)
  640. summary(fit11, fit.measures = TRUE, standardized = TRUE)
  641. summary(fit12, fit.measures = TRUE, standardized = TRUE)
  642. #//----- MULTIPLE-INDICATOR LATENT CHANGE SCORE (LCS) MODELS -----
  643. # LCS model equivalent to longitudinal CFA model 9
  644. model13 <-paste0('
  645. r_pvwml.0 ~ age.c.0
  646. r_pvwml.1 ~ age.c.0 + time_years.1
  647. r_fw.0 ~ age.c.0
  648. r_fw.1 ~ age.c.0 + time_years.1
  649. r_bgepvsc.0 ~ age.c.0
  650. r_bgepvsc.1 ~ age.c.0 + time_years.1
  651. # Measurement model for svd in time 0
  652. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  653. # Measurement model for svd in time 1
  654. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  655. # Mean structure specification
  656. r_pvwml.0 ~ 0*1
  657. r_fw.0 ~ ifw*1
  658. r_bgepvsc.0 ~ ibg*1
  659. r_pvwml.1 ~ 0*1
  660. r_fw.1 ~ ifw*1
  661. r_bgepvsc.1 ~ ibg*1
  662. # Residual covariances
  663. r_pvwml.0 ~~ r_pvwml.1
  664. r_fw.0 ~~ r_fw.1
  665. r_bgepvsc.0 ~~ r_bgepvsc.1
  666. # Latent change
  667. svd_1 ~ 1*svd_0
  668. dC =~ 1*svd_1
  669. # Latent variable mean structure
  670. svd_0 ~ 1
  671. svd_1 ~ 0*1
  672. dC ~ 1
  673. # Latent variable covariance structure
  674. svd_0 ~~ svd_0
  675. svd_1 ~~ 0*svd_1
  676. dC ~~ dC
  677. dC ~~ svd_0
  678. ')
  679. # Fit LCS model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  680. fit13 <- lavaan::sem(model13, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  681. summary(fit13, fit.measures = TRUE, standardized = TRUE)
  682. # Compare models (sanity check)
  683. lavTestLRT(fit9, fit13)
  684. # Compare model fit indices (sanity check)
  685. fitm9 <- fitmeasures(fit9, fit.measures = c("chisq.scaled", "pvalue.scaled",
  686. "cfi.robust", "tli.robust",
  687. "rmsea.robust", "srmr"))
  688. fitm13 <- fitmeasures(fit13, fit.measures = c("chisq.scaled", "pvalue.scaled",
  689. "cfi.robust", "tli.robust",
  690. "rmsea.robust", "srmr"))
  691. fitm_all <- as.data.frame(rbind(fitm9, fitm13))
  692. fitm_all <- fitm_all %>% mutate(across(where(is.numeric), function(x) {round(x, 3)}))
  693. print(fitm_all)
  694. #//-------------------------------------------- ANALYSES 3.3: EFFECT OF TREATMENT ASSIGNMENT ON SVD BURDEN --------------------------------------------
  695. #//----- COMPUTE UNADJUSTED TREATMENT EFFECT -----
  696. # LCS model with treatment arm as latent change score predictor (unadjusted)
  697. model1 <-paste0('
  698. r_pvwml.0 ~ age.c.0
  699. r_pvwml.1 ~ age.c.0 + time_years.1
  700. r_fw.0 ~ age.c.0
  701. r_fw.1 ~ age.c.0 + time_years.1
  702. r_bgepvsc.0 ~ age.c.0
  703. r_bgepvsc.1 ~ age.c.0 + time_years.1
  704. # Measurement model for svd in time 0
  705. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  706. # Measurement model for svd in time 1
  707. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  708. # Mean structure specification
  709. r_pvwml.0 ~ 0*1
  710. r_fw.0 ~ ifw*1
  711. r_bgepvsc.0 ~ ibg*1
  712. r_pvwml.1 ~ 0*1
  713. r_fw.1 ~ ifw*1
  714. r_bgepvsc.1 ~ ibg*1
  715. # Residual covariances
  716. r_pvwml.0 ~~ r_pvwml.1
  717. r_fw.0 ~~ r_fw.1
  718. r_bgepvsc.0 ~~ r_bgepvsc.1
  719. # Latent change
  720. svd_1 ~ 1*svd_0
  721. dC =~ 1*svd_1
  722. # Latent variable mean structure
  723. svd_0 ~ a0*1
  724. svd_1 ~ 0*1
  725. dC ~ 1 + a*treat
  726. # Latent variable covariance structure
  727. svd_0 ~~ svd_0
  728. svd_1 ~~ 0*svd_1
  729. dC ~~ b*dC
  730. dC ~~ svd_0
  731. # Standardized mean difference (Cohens d) and % change relative to mean baseline SVD burden
  732. cohen_d := a/sqrt(b)
  733. prop := a/a0
  734. ')
  735. # Fit LCS model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  736. fit1 <- lavaan::sem(model1, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  737. summary(fit1, fit.measures = TRUE, standardized = TRUE)
  738. # Inspect fit indices
  739. fitmeasures(fit1, fit.measures = c("chisq.scaled", "pvalue.scaled",
  740. "cfi.robust", "rmsea.robust", "srmr"))
  741. # Display parameter estimates of interest
  742. parameterEstimates(fit1)[parameterEstimates(fit1)$label %in%
  743. c("a", "cohen_d", "prop"),
  744. c("lhs", "est", "ci.lower", "ci.upper")]
  745. # Display latent change score variance
  746. parameterEstimates(fit1)[parameterEstimates(fit1)$label %in% "b", "est"]
  747. # Path diagram for the unadjusted treatment effect (Figure 2; panel A)
  748. pl_mod <- semPlotModel(fit1)
  749. pl_par <- pl_mod@Pars
  750. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "int" & !pl_par$rhs %in% c("dC", "svd_0"), ]), ]
  751. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "<->" & pl_par$rhs %in% c("treat"), ]), ]
  752. pl_mod@Pars <- pl_par
  753. plt <- semPaths(pl_mod, whatLabels = "est", residuals = FALSE, intStyle = "multi", sizeInt = 9, edge.label.cex = 1.2)
  754. plt$layout[1, ] <- c(-1, 0.6) #p.0
  755. plt$layout[2, ] <- c(-0.7, 0.6) #f.0
  756. plt$layout[3, ] <- c(-0.4, 0.6) #b.0
  757. plt$layout[4, ] <- c(0.2, 0.6) #p.1
  758. plt$layout[5, ] <- c(0.5, 0.6) #f.1
  759. plt$layout[6, ] <- c(0.8, 0.6) #b.1
  760. plt$layout[7, ] <- c(0.3, -1) #trt
  761. plt$layout[8, ] <- c(-0.7, 1.35) #age.c.0
  762. plt$layout[9, ] <- c(0.5, 1.35) #dufu
  763. plt$layout[10, ] <- c(-0.7, -0.5) #s_0
  764. plt$layout[11, ] <- c(0.5, -0.5) #s_1
  765. plt$layout[12, ] <- c(-0.2, -1) #dC
  766. plt$layout[13, ] <- c(-1.2, -0.5) #int.s_0
  767. plt$layout[14, ] <- c(-0.8, -1) #int.dC
  768. plt$graphAttributes$Nodes$labels <- c("Perive-\nticular\nWMH\nt0", "WM\nFree\nWater\nt0", "Basal\nganglia\nPVS\nt0",
  769. "Perive-\nticular\nWMH\nt1", "WM\nFree\nWater\nt1", "Basal\nganglia\nPVS\nt1",
  770. "Intensive\nBP\nControl",
  771. "Base-\nline\nage", "Follow\nup\ntime",
  772. "SVD\nt0", "SVD\nt1", "SVD\nChange",
  773. "Mean\nBaseline\nSVD", "Mean\nSVD\nChange")
  774. plt <- semptools::mark_sig(semPaths_plot = plt, object = fit1)
  775. plt$graphAttributes$Nodes$label.cex <- 1.6
  776. plt$graphAttributes$Edges$curve[c(24,25)] <- 0.5
  777. plt$graphAttributes$Edges$label.margin[c(16:18)] <- -0.035
  778. plt$graphAttributes$Edges$label.margin[c(21,23)] <- -0.04
  779. plt$graphAttributes$Edges$label.margin[c(22)] <- -0.03
  780. plt$plotOptions$label.prop <- c(1, 1, 1, 1, 1, 1, 0.95, 0.85, 0.85, 0.7, 0.7, 0.85, 0.45, 0.425)
  781. plt$graphAttributes$Edges$color[c(1,2,4,5,7,8)] <- "skyblue"
  782. plt$graphAttributes$Edges$color[c(3,6,9)] <- "navy"
  783. plt$graphAttributes$Edges$color[c(10:15)] <- "coral"
  784. plt$graphAttributes$Edges$color[c(16:18)] <- "lightgreen"
  785. plt$graphAttributes$Edges$color[c(21:22)] <- "blue"
  786. plt$graphAttributes$Edges$color[c(23)] <- "red2"
  787. plt$graphAttributes$Nodes$width <- c(5, 5, 5, 5, 5, 5, 7, 5, 5, 8, 8, 8, 12, 12)
  788. plot(plt)
  789. #//----- COMPUTE ADJUSTED TREATMENT EFFECT -----
  790. # LCS model with treatment arm as latent change score predictor adjusted for baseline age, sex, race, and icv
  791. model2 <-paste0('
  792. r_pvwml.0 ~ age.c.0
  793. r_pvwml.1 ~ age.c.0 + time_years.1
  794. r_fw.0 ~ age.c.0
  795. r_fw.1 ~ age.c.0 + time_years.1
  796. r_bgepvsc.0 ~ age.c.0
  797. r_bgepvsc.1 ~ age.c.0 + time_years.1
  798. # Measurement model for svd in time 0
  799. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  800. # Measurement model for svd in time 1
  801. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  802. # Mean structure specification
  803. r_pvwml.0 ~ 0*1
  804. r_fw.0 ~ ifw*1
  805. r_bgepvsc.0 ~ ibg*1
  806. r_pvwml.1 ~ 0*1
  807. r_fw.1 ~ ifw*1
  808. r_bgepvsc.1 ~ ibg*1
  809. # Residual covariances
  810. r_pvwml.0 ~~ r_pvwml.1
  811. r_fw.0 ~~ r_fw.1
  812. r_bgepvsc.0 ~~ r_bgepvsc.1
  813. # Latent change
  814. svd_1 ~ 1*svd_0
  815. dC =~ 1*svd_1
  816. # Latent variable mean structure
  817. svd_0 ~ a0*1 + age.c.0 + female + r_icv.0 + ', paste(c(race), collapse = " + "), '
  818. svd_1 ~ 0*1
  819. dC ~ 1 + a*treat + age.c.0 + female + r_icv.0 + ', paste(c(race), collapse = " + "), '
  820. # Latent variable covariance structure
  821. svd_0 ~~ svd_0
  822. svd_1 ~~ 0*svd_1
  823. dC ~~ b*dC
  824. dC ~~ svd_0
  825. # Standardized mean difference (Cohens d)
  826. cohen_d := a/sqrt(b)
  827. ')
  828. # Fit LCS model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  829. fit2 <- lavaan::sem(model2, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  830. summary(fit2, fit.measures = TRUE, standardized = TRUE)
  831. # Inspect fit indices
  832. fitmeasures(fit2, fit.measures = c("chisq.scaled", "pvalue.scaled",
  833. "cfi.robust", "rmsea.robust", "srmr"))
  834. # Display parameter estimates of interest
  835. parameterEstimates(fit2)[parameterEstimates(fit2)$label %in%
  836. c("a", "cohen_d"),
  837. c("lhs", "est", "ci.lower", "ci.upper")]
  838. # Display latent change score variance
  839. parameterEstimates(fit2)[parameterEstimates(fit2)$label %in% "b", "est"]
  840. # Path diagram for the adjusted treatment effect (Figure 2; panel B)
  841. pl_mod <- semptools::drop_nodes(
  842. object = semPlotModel(fit2),
  843. nodes = c(race, "female", "r_icv.0"))
  844. pl_par <- pl_mod@Pars
  845. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "int" & !pl_par$rhs %in% c("dC", "svd_0"), ]), ]
  846. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "<->" & pl_par$rhs %in% c("treat"), ]), ]
  847. pl_mod@Pars <- pl_par
  848. plt <- semPaths(pl_mod, whatLabels = "est", residuals = FALSE, intStyle = "multi", sizeInt = 9, edge.label.cex = 1.2)
  849. plt$layout[1, ] <- c(-1, 0.6) #p.0
  850. plt$layout[2, ] <- c(-0.7, 0.6) #f.0
  851. plt$layout[3, ] <- c(-0.4, 0.6) #b.0
  852. plt$layout[4, ] <- c(0.2, 0.6) #p.1
  853. plt$layout[5, ] <- c(0.5, 0.6) #f.1
  854. plt$layout[6, ] <- c(0.8, 0.6) #b.1
  855. plt$layout[7, ] <- c(-0.7, 1.35) #age.c.0
  856. plt$layout[8, ] <- c(0.3, -1) #trt
  857. plt$layout[9, ] <- c(0.5, 1.35) #dufu
  858. plt$layout[10, ] <- c(-0.7, -0.5) #s_0
  859. plt$layout[11, ] <- c(0.5, -0.5) #s_1
  860. plt$layout[12, ] <- c(-0.2, -1) #dC
  861. plt$layout[13, ] <- c(-1.2, -0.5) #int.s_0
  862. plt$layout[14, ] <- c(-0.8, -1) #int.dC
  863. plt$graphAttributes$Nodes$labels <- c("Perive-\nticular\nWMH\nt0", "WM\nFree\nWater\nt0", "Basal\nganglia\nPVS\nt0",
  864. "Perive-\nticular\nWMH\nt1", "WM\nFree\nWater\nt1", "Basal\nganglia\nPVS\nt1",
  865. "Base-\nline\nage", "Intensive\nBP\nControl", "Follow\nup\ntime",
  866. "SVD\nt0", "SVD\nt1", "SVD\nChange",
  867. "Mean\nBaseline\nSVD", "Mean\nSVD\nChange")
  868. plt <- semptools::mark_sig(semPaths_plot = plt, object = fit2)
  869. plt$graphAttributes$Nodes$label.cex <- 1.6
  870. plt$graphAttributes$Edges$curve[c(22)] <- -6
  871. plt$graphAttributes$Edges$curve[c(26,27)] <- 0.5
  872. plt$graphAttributes$Edges$label.margin[c(16:18)] <- -0.035
  873. plt$graphAttributes$Edges$label.margin[c(21,23,24)] <- -0.04
  874. plt$graphAttributes$Edges$label.margin[c(23)] <- -0.03
  875. plt$graphAttributes$Edges$edge.label.position[25] <- 0.7
  876. plt$plotOptions$label.prop <- c(1, 1, 1, 1, 1, 1, 0.85, 0.95, 0.85, 0.7, 0.7, 0.85, 0.45, 0.425)
  877. plt$graphAttributes$Edges$color[c(1,2,4,5,7,8)] <- "skyblue"
  878. plt$graphAttributes$Edges$color[c(3,6,9)] <- "navy"
  879. plt$graphAttributes$Edges$color[c(10:15)] <- "coral"
  880. plt$graphAttributes$Edges$color[c(16:18)] <- "lightgreen"
  881. plt$graphAttributes$Edges$color[c(21,23)] <- "blue"
  882. plt$graphAttributes$Edges$color[c(24)] <- "red2"
  883. plt$graphAttributes$Edges$color[c(22, 25)] <- "magenta2"
  884. plt$graphAttributes$Nodes$width <- c(5, 5, 5, 5, 5, 5, 5, 7, 5, 8, 8, 8, 12, 12)
  885. plot(plt)
  886. #//----- COMPUTE TREATMENT EFFECT WITH ROI VOLUME-NORMALIZED SVD INDICATORS -----
  887. # LCS model with treatment arm as latent change score predictor (unadjusted) using ROI volume-adjusted MRI indicators
  888. model3 <-paste0('
  889. r_pvwmln.0 ~ age.c.0
  890. r_pvwmln.1 ~ age.c.0 + time_years.1
  891. r_fw.0 ~ age.c.0
  892. r_fw.1 ~ age.c.0 + time_years.1
  893. r_bgepvscn.0 ~ age.c.0
  894. r_bgepvscn.1 ~ age.c.0 + time_years.1
  895. # Measurement model for svd in time 0
  896. svd_0 =~ 1*r_pvwmln.0 + fw*r_fw.0 + bg*r_bgepvscn.0
  897. # Measurement model for svd in time 1
  898. svd_1 =~ 1*r_pvwmln.1 + fw*r_fw.1 + bg*r_bgepvscn.1
  899. # Mean structure specification
  900. r_pvwmln.0 ~ 0*1
  901. r_fw.0 ~ ifw*1
  902. r_bgepvscn.0 ~ ibg*1
  903. r_pvwmln.1 ~ 0*1
  904. r_fw.1 ~ ifw*1
  905. r_bgepvscn.1 ~ ibg*1
  906. # Residual covariances
  907. r_pvwmln.0 ~~ r_pvwmln.1
  908. r_fw.0 ~~ r_fw.1
  909. r_bgepvscn.0 ~~ r_bgepvscn.1
  910. # Latent change
  911. svd_1 ~ 1*svd_0
  912. dC =~ 1*svd_1
  913. # Latent variable mean structure
  914. svd_0 ~ a0*1
  915. svd_1 ~ 0*1
  916. dC ~ 1 + a*treat
  917. # Latent variable covariance structure
  918. svd_0 ~~ svd_0
  919. svd_1 ~~ 0*svd_1
  920. dC ~~ b*dC
  921. dC ~~ svd_0
  922. # Standardized mean difference (Cohens d) and % change relative to mean baseline SVD burden
  923. cohen_d := a/sqrt(b)
  924. prop := a/a0
  925. ')
  926. # Fit LCS model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  927. fit3 <- lavaan::sem(model3, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  928. summary(fit3, fit.measures = TRUE, standardized = TRUE)
  929. # Inspect fit indices
  930. fitmeasures(fit3, fit.measures = c("chisq.scaled", "pvalue.scaled",
  931. "cfi.robust", "rmsea.robust", "srmr"))
  932. # Display parameter estimates of interest
  933. parameterEstimates(fit3)[parameterEstimates(fit3)$label %in%
  934. c("a", "cohen_d", "prop"),
  935. c("lhs", "est", "ci.lower", "ci.upper")]
  936. # Display latent change score variance
  937. parameterEstimates(fit3)[parameterEstimates(fit3)$label %in% "b", "est"]
  938. #//----- COMPUTE TREATMENT EFFECT IN ALL PARTICIPANTS WITH AVAILABLE BASELINE MRI WITH FIML -----
  939. # LCS model for the total sample of participants with baseline MRI with treatment arm as latent change score predictor (unadjusted) with fiml for missing follow-up MRI markers + auxiliary variables
  940. # Create dataset for fiml
  941. fiml <- wide0
  942. # Base auxiliary variable set
  943. base_set <- c('female', race, edu, polyph, smk, 'sub_cvd', 'sbp', 'dbp')
  944. # Inspect for missing values
  945. sapply(base_set, function(x){sum(is.na(fiml[ ,x]))})
  946. # Extended auxiliary variable set
  947. ext_set <- c("BMI", "HDL", "result_CO2", "egfr", "log2_umalcr", "lm_delayed1", "r_icv.0")
  948. # Inspect for missing values
  949. sapply(ext_set, function(x){sum(is.na(fiml[ ,x]))})
  950. # Fit LCS model with Full Information Maximum Likelihood estimation method with auxiliary variables using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  951. fit.aux <- auxiliary(model1, aux = c(base_set, ext_set), fun = "sem", data = fiml, estimator = "ML", missing = "FIML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  952. summary(fit.aux, fit.measures = TRUE, standardized = TRUE)
  953. fitmeasures(fit.aux, fit.measures = c("chisq.scaled", "pvalue.scaled",
  954. "cfi.robust", "rmsea.robust", "srmr"))
  955. parameterEstimates(fit.aux)[parameterEstimates(fit.aux)$label %in%
  956. c("a", "cohen_d", "prop"),
  957. c("lhs", "est", "ci.lower", "ci.upper")]
  958. #//-------------------------------------------- ANALYSES 3.4: ATTAINED SBP REDUCTION AND SVD CHANGE --------------------------------------------
  959. # LCS model with SBP delta group as latent change score predictor
  960. model4 <-paste0('
  961. r_pvwml.0 ~ age.c.0
  962. r_pvwml.1 ~ age.c.0 + time_years.1
  963. r_fw.0 ~ age.c.0
  964. r_fw.1 ~ age.c.0 + time_years.1
  965. r_bgepvsc.0 ~ age.c.0
  966. r_bgepvsc.1 ~ age.c.0 + time_years.1
  967. # Measurement model for svd in time 0
  968. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  969. # Measurement model for svd in time 1
  970. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  971. # Mean structure specification
  972. r_pvwml.0 ~ 0*1
  973. r_fw.0 ~ ifw*1
  974. r_bgepvsc.0 ~ ibg*1
  975. r_pvwml.1 ~ 0*1
  976. r_fw.1 ~ ifw*1
  977. r_bgepvsc.1 ~ ibg*1
  978. # Residual covariances
  979. r_pvwml.0 ~~ r_pvwml.1
  980. r_fw.0 ~~ r_fw.1
  981. r_bgepvsc.0 ~~ r_bgepvsc.1
  982. # Latent change
  983. svd_1 ~ 1*svd_0
  984. dC =~ 1*svd_1
  985. # Latent variable mean structure
  986. svd_0 ~ a0*1
  987. svd_1 ~ 0*1
  988. dC ~ 1 + a1*sbp_group_1 + a2*sbp_group_2 + a3*sbp_group_3
  989. # Latent variable covariance structure
  990. svd_0 ~~ svd_0
  991. svd_1 ~~ 0*svd_1
  992. dC ~~ dC
  993. dC ~~ svd_0
  994. # % change relative to mean baseline SVD burden
  995. prop_1 := a1/a0
  996. prop_2 := a2/a0
  997. prop_3 := a3/a0
  998. ')
  999. # Fit LCS model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  1000. fit4 <- lavaan::sem(model4, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  1001. summary(fit4, fit.measures = TRUE, standardized = TRUE)
  1002. # Inspect fit indices
  1003. fitmeasures(fit4, fit.measures = c("chisq.scaled", "pvalue.scaled",
  1004. "cfi.robust", "rmsea.robust", "srmr"))
  1005. # Display parameter estimates of interest
  1006. parameterEstimates(fit4)[parameterEstimates(fit4)$label %in%
  1007. c("a1", "a2", "a3",
  1008. "prop_1", "prop_2", "prop_3"),
  1009. c("lhs", "est", "ci.lower", "ci.upper")]
  1010. # Path diagram for different SBP delta groups and SVD burden change (Figure 3)
  1011. pl_mod <- semPlotModel(fit4)
  1012. pl_par <- pl_mod@Pars
  1013. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "int" & !pl_par$rhs %in% c("dC", "svd_0"), ]), ]
  1014. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "<->" & pl_par$rhs %in%
  1015. c("sbp_group_1", "sbp_group_2", "sbp_group_3"), ]), ]
  1016. pl_mod@Pars <- pl_par
  1017. plt <- semPaths(pl_mod, whatLabels = "est", residuals = FALSE, intStyle = "multi", sizeInt = 9, edge.label.cex = 1.2)
  1018. plt$layout[1, ] <- c(-1, 0.6) #p.0
  1019. plt$layout[2, ] <- c(-0.7, 0.6) #f.0
  1020. plt$layout[3, ] <- c(-0.4, 0.6) #b.0
  1021. plt$layout[4, ] <- c(0.2, 0.6) #p.1
  1022. plt$layout[5, ] <- c(0.5, 0.6) #f.1
  1023. plt$layout[6, ] <- c(0.8, 0.6) #b.1
  1024. plt$layout[7, ] <- c(0.8, -0.7) #sbp_1
  1025. plt$layout[8, ] <- c(0.8, -1.0) #sbp_2
  1026. plt$layout[9, ] <- c(0.8, -1.3) #sbp_3
  1027. plt$layout[10, ] <- c(-0.7, 1.35) #age.c.0
  1028. plt$layout[11, ] <- c(0.5, 1.35) #dufu
  1029. plt$layout[12, ] <- c(-0.7, -0.5) #s_0
  1030. plt$layout[13, ] <- c(0.5, -0.5) #s_1
  1031. plt$layout[14, ] <- c(-0.2, -1) #dC
  1032. plt$layout[15, ] <- c(-1.2, -0.5) #int.s_0
  1033. plt$layout[16, ] <- c(-0.8, -1) #int.dC
  1034. plt$graphAttributes$Nodes$labels <- c("Perive-\nticular\nWMH\nt0", "WM\nFree\nWater\nt0", "Basal\nganglia\nPVS\nt0",
  1035. "Perive-\nticular\nWMH\nt1", "WM\nFree\nWater\nt1", "Basal\nganglia\nPVS\nt1",
  1036. "SBP\nDrop\n0 to 10", "SBP\nDrop\n10 to 20", "SBP\nDrop\n≥ 20",
  1037. "Base-\nline\nage", "Follow\nup\ntime",
  1038. "SVD\nt0", "SVD\nt1", "SVD\nChange",
  1039. "Mean\nBaseline\nSVD", "Mean\nSVD\nChange")
  1040. plt <- semptools::mark_sig(semPaths_plot = plt, object = fit4)
  1041. plt$graphAttributes$Nodes$label.cex <- 1.6
  1042. plt$graphAttributes$Edges$curve[c(26,27)] <- 0.5
  1043. plt$graphAttributes$Edges$label.margin[c(16:18)] <- -0.035
  1044. plt$graphAttributes$Edges$label.margin[c(22, 23)] <- -0.02
  1045. plt$graphAttributes$Edges$label.margin[c(21, 24, 25)] <- -0.03
  1046. plt$plotOptions$label.prop <- c(1, 1, 1,
  1047. 1, 1, 1,
  1048. 0.9, 1, 0.9,
  1049. 0.85, 0.85,
  1050. 0.7, 0.7, 0.85,
  1051. 0.45, 0.425)
  1052. plt$graphAttributes$Edges$color[c(1,2,4,5,7,8)] <- "skyblue"
  1053. plt$graphAttributes$Edges$color[c(3,6,9)] <- "navy"
  1054. plt$graphAttributes$Edges$color[c(10:15)] <- "coral"
  1055. plt$graphAttributes$Edges$color[c(16:18)] <- "lightgreen"
  1056. plt$graphAttributes$Edges$color[c(21:22)] <- "blue"
  1057. plt$graphAttributes$Edges$color[c(23:25)] <- "red2"
  1058. plt$graphAttributes$Nodes$width <- c(5, 5, 5,
  1059. 5, 5, 5,
  1060. 5, 5, 5,
  1061. 5, 5,
  1062. 8, 8, 8,
  1063. 12, 12)
  1064. plot(plt)
  1065. #//----- TREND TEST -----
  1066. # LCS model with BP delta group as latent change score predictor - trend test
  1067. model5 <-paste0('
  1068. r_pvwml.0 ~ age.c.0
  1069. r_pvwml.1 ~ age.c.0 + time_years.1
  1070. r_fw.0 ~ age.c.0
  1071. r_fw.1 ~ age.c.0 + time_years.1
  1072. r_bgepvsc.0 ~ age.c.0
  1073. r_bgepvsc.1 ~ age.c.0 + time_years.1
  1074. # Measurement model for svd in time 0
  1075. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  1076. # Measurement model for svd in time 1
  1077. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  1078. # Mean structure specification
  1079. r_pvwml.0 ~ 0*1
  1080. r_fw.0 ~ ifw*1
  1081. r_bgepvsc.0 ~ ibg*1
  1082. r_pvwml.1 ~ 0*1
  1083. r_fw.1 ~ ifw*1
  1084. r_bgepvsc.1 ~ ibg*1
  1085. # Residual covariances
  1086. r_pvwml.0 ~~ r_pvwml.1
  1087. r_fw.0 ~~ r_fw.1
  1088. r_bgepvsc.0 ~~ r_bgepvsc.1
  1089. # Latent change
  1090. svd_1 ~ 1*svd_0
  1091. dC =~ 1*svd_1
  1092. # Latent variable mean structure
  1093. svd_0 ~ 1
  1094. svd_1 ~ 0*1
  1095. dC ~ 1 + sbp_group_n
  1096. # Latent variable covariance structure
  1097. svd_0 ~~ svd_0
  1098. svd_1 ~~ 0*svd_1
  1099. dC ~~ dC
  1100. dC ~~ svd_0
  1101. ')
  1102. # Fit LCS model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  1103. fit5 <- lavaan::sem(model5, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  1104. summary(fit5, fit.measures = TRUE, standardized = TRUE)
  1105. # Inspect fit indices
  1106. fitmeasures(fit5, fit.measures = c("chisq.scaled", "pvalue.scaled",
  1107. "cfi.robust", "rmsea.robust", "srmr"))
  1108. # Extract parameter estimates of interest
  1109. par <- parameterEstimates(fit5)
  1110. par[par$lhs == "dC" & grepl("sbp_group_n", par$rhs),]
  1111. #//-------------------------------------------- ANALYSES 3.4: BP MEDIATION OF THE TREATMENT ASSIGNMENT EFFECT --------------------------------------------
  1112. # LCS model with treatment group as latent change score predictor and delta SBP as mediator
  1113. model6 <-paste0('
  1114. r_pvwml.0 ~ age.c.0
  1115. r_pvwml.1 ~ age.c.0 + time_years.1
  1116. r_fw.0 ~ age.c.0
  1117. r_fw.1 ~ age.c.0 + time_years.1
  1118. r_bgepvsc.0 ~ age.c.0
  1119. r_bgepvsc.1 ~ age.c.0 + time_years.1
  1120. # Measurement model for svd in time 0
  1121. svd_0 =~ 1*r_pvwml.0 + fw*r_fw.0 + bg*r_bgepvsc.0
  1122. # Measurement model for svd in time 1
  1123. svd_1 =~ 1*r_pvwml.1 + fw*r_fw.1 + bg*r_bgepvsc.1
  1124. # Mean structure specification
  1125. r_pvwml.0 ~ 0*1
  1126. r_fw.0 ~ ifw*1
  1127. r_bgepvsc.0 ~ ibg*1
  1128. r_pvwml.1 ~ 0*1
  1129. r_fw.1 ~ ifw*1
  1130. r_bgepvsc.1 ~ ibg*1
  1131. # Residual covariances
  1132. r_pvwml.0 ~~ r_pvwml.1
  1133. r_fw.0 ~~ r_fw.1
  1134. r_bgepvsc.0 ~~ r_bgepvsc.1
  1135. # Latent change
  1136. svd_1 ~ 1*svd_0
  1137. dC =~ 1*svd_1
  1138. # Latent variable mean structure
  1139. svd_0 ~ 1
  1140. svd_1 ~ 0*1
  1141. sbp_delta ~ a*treat
  1142. dC ~ 1 + b*sbp_delta + c*treat
  1143. # Latent variable covariance structure
  1144. svd_0 ~~ svd_0
  1145. svd_1 ~~ 0*svd_1
  1146. dC ~~ dC
  1147. dC ~~ svd_0
  1148. Indirect := a*b
  1149. Direct := c
  1150. Total := (a*b) + c
  1151. ')
  1152. # Fit LCS model with Maximum Likelihood estimation method using robust (Huber-White) standard errors and a scaled (Yuan-Bentler) test statistic
  1153. fit6 <- lavaan::sem(model6, data = wide01, estimator = "ML", se = "robust.huber.white", test = "yuan.bentler.mplus")
  1154. summary(fit6, fit.measures = TRUE, standardized = TRUE)
  1155. # Inspect fit indices
  1156. fitmeasures(fit6, fit.measures = c("chisq.scaled", "pvalue.scaled",
  1157. "cfi.robust", "rmsea.robust", "srmr"))
  1158. # Extract parameter estimates of interest
  1159. parameterEstimates(fit6)[parameterEstimates(fit6)$op %in% ":=",
  1160. c("lhs", "est", "ci.lower", "ci.upper")]
  1161. # Path diagram of indirect (through delta SBP) and direct treatment effect (Supplemental Figure 3)
  1162. pl_mod <- semPlotModel(fit6)
  1163. pl_par <- pl_mod@Pars
  1164. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "int" & !pl_par$rhs %in% c("dC", "svd_0"), ]), ]
  1165. pl_par <- pl_par[!rownames(pl_par) %in% rownames(pl_par[pl_par$edge == "<->" & pl_par$rhs %in%
  1166. c("sbp_delta", "treat"), ]), ]
  1167. pl_mod@Pars <- pl_par
  1168. plt <- semPaths(pl_mod, whatLabels = "est", residuals = FALSE, intStyle = "multi", sizeInt = 9, edge.label.cex = 1.2)
  1169. plt$layout[1, ] <- c(-1, 0.6) #p.0
  1170. plt$layout[2, ] <- c(-0.7, 0.6) #f.0
  1171. plt$layout[3, ] <- c(-0.4, 0.6) #b.0
  1172. plt$layout[4, ] <- c(0.2, 0.6) #p.1
  1173. plt$layout[5, ] <- c(0.5, 0.6) #f.1
  1174. plt$layout[6, ] <- c(0.8, 0.6) #b.1
  1175. plt$layout[7, ] <- c(0.8, -0.7) #delta_sbp
  1176. plt$layout[8, ] <- c(0.8, -1.3) #treat
  1177. plt$layout[9, ] <- c(-0.7, 1.35) #age.c.0
  1178. plt$layout[10, ] <- c(0.5, 1.35) #dufu
  1179. plt$layout[11, ] <- c(-0.7, -0.5) #s_0
  1180. plt$layout[12, ] <- c(0.5, -0.5) #s_1
  1181. plt$layout[13, ] <- c(-0.2, -1) #dC
  1182. plt$layout[14, ] <- c(-1.2, -0.5) #int.s_0
  1183. plt$layout[15, ] <- c(-0.8, -1) #int.dC
  1184. plt$graphAttributes$Nodes$labels <- c("Perive-\nticular\nWMH\nt0", "WM\nFree\nWater\nt0", "Basal\nganglia\nPVS\nt0",
  1185. "Perive-\nticular\nWMH\nt1", "WM\nFree\nWater\nt1", "Basal\nganglia\nPVS\nt1",
  1186. "\u0394SBP", "Intensive\nBP\nControl",
  1187. "Base-\nline\nage", "Follow\nup\ntime",
  1188. "SVD\nt0", "SVD\nt1", "SVD\nChange",
  1189. "Mean\nBaseline\nSVD", "Mean\nSVD\nChange")
  1190. plt <- semptools::mark_sig(semPaths_plot = plt, object = fit6)
  1191. plt$graphAttributes$Nodes$label.cex <- 1.6
  1192. plt$graphAttributes$Edges$curve[c(26,27)] <- 0.5
  1193. plt$graphAttributes$Edges$label.margin[c(16:18)] <- -0.035
  1194. plt$graphAttributes$Edges$label.margin[c(21)] <- -0.03
  1195. plt$graphAttributes$Edges$label.margin[c(23)] <- -0.02
  1196. plt$graphAttributes$Edges$label.margin[c(24)] <- -0.02
  1197. plt$plotOptions$label.prop <- c(1, 1, 1,
  1198. 1, 1, 1,
  1199. 0.9, 0.95,
  1200. 0.85, 0.85,
  1201. 0.7, 0.7, 0.85,
  1202. 0.45, 0.425)
  1203. plt$graphAttributes$Edges$color[c(1,2,4,5,7,8)] <- "skyblue"
  1204. plt$graphAttributes$Edges$color[c(3,6,9)] <- "navy"
  1205. plt$graphAttributes$Edges$color[c(10:15)] <- "coral"
  1206. plt$graphAttributes$Edges$color[c(16:18)] <- "lightgreen"
  1207. plt$graphAttributes$Edges$color[c(21,23)] <- "blue"
  1208. plt$graphAttributes$Edges$color[c(22,24)] <- "red2"
  1209. plt$graphAttributes$Nodes$width <- c(5, 5, 5,
  1210. 5, 5, 5,
  1211. 5, 5,
  1212. 5, 5,
  1213. 8, 8, 8,
  1214. 12, 12)
  1215. plot(plt)
  1216. # Bootstrapped solution
  1217. # Detect cpu number
  1218. ncpus = max(1, parallel::detectCores() - 1)
  1219. # Fit LCS model with Maximum Likelihood estimation method using bootstrapped standard errors and a scaled (Yuan-Bentler) test statistic
  1220. fit6_boot <- lavaan::sem(model6, data = wide01, estimator = "ML", test = "yuan.bentler.mplus",
  1221. se = "bootstrap", bootstrap = 5000, parallel = "snow",
  1222. ncpus = ncpus, iseed = 2025)
  1223. # Extract parameter estimates of interest from bootstrapped solution
  1224. sum <- parameterEstimates(fit6_boot)
  1225. sum <- sum[sum$op == ":=" , c("label", "est", "ci.lower", "ci.upper", "pvalue")]
  1226. rownames(sum) <- sum[,"label"]
  1227. sum <- sum[ ,-1]
  1228. sum
  1229. #//--------------------------------------------------------------------------- END OF ANALYTIC CODE ---------------------------------------------------------------------------//

SVD_SPRINT_Git_20260705.R at commit ce6d95d, no license · at the source

Overview

Authors: Sokratis Charisis1,2,3, Nicholas M. Pajewski4, Larry R. Price5, Ngoc Huynh Ho1, Tanweer Rashid1, David Wang1, Yuheng Zeng1, Niyas Shamsudeen Kutty1, R. Nick Bryan6, Kyle C. Kern7, Bradford C. Dickerson2,3, Sudha Seshadri1, Ilya Nasrallah6, Lenore Launer8, Christos Davatzikos6, Jeff D. Williamson9, Mohamad Habes1
  1. Neuroimage Analytics Laboratory (NAL) and the Biggs Institute Neuroimaging Core (BINC), Glenn Biggs Institute for Alzheimer's and Neurodegenerative Diseases, University of Texas Health Science Center at San Antonio, San Antonio, TX, USA
  2. Department of Neurology, Massachusetts General Hospital, Boston, MA, USA
  3. Harvard Medical School, Boston, MA, USA
  4. Department of Biostatistics and Data Science, Wake Forest University School of Medicine, Winston-Salem, NC, USA
  5. Department of Psychiatry and Behavioral Sciences, University of Texas Health Science Center at San Antonio, San Antonio, TX, USA
  6. Department of Radiology, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, USA
  7. Department of Neurology, UCLA David Geffen School of Medicine, Los Angeles, CA, USA
  8. Neuroepidemiology Section, Intramural Research Program, National Institute on Aging, Bethesda, MD, USA
  9. Section of Gerontology and Geriatric Medicine, Department of Internal Medicine, Wake Forest University School of Medicine, Winston-Salem, NC, USA
Journal: EClinicalMedicine, volume 99, article 104143
Dates: received 15 February 2026; accepted 24 July 2026; published online 11 August 2026
Type: Research article · Language: English
License: CC BY
Identifiers: DOI 10.1016/j.eclinm.2026.104143 · PMID 42614618 · PMCID PMC13482511 · OpenAlex W7202205841
Open access: gold, a free copy (OpenAlex)
Status: code verified
Categories: structural MRI / diffusion (modality), human (organism), stroke (population), clinical / translational (subfield)
Methods: Statistics, fMRI & imaging
Keywords: Cerebral small vessel disease, Intensive blood pressure treatment, Dose–response relationship, Randomized clinical trial, Brain MRI, Neuroimaging biomarkers, SPRINT
Topic: Cerebrospinal fluid and hydrocephalus (Cellular and Molecular Neuroscience, Neuroscience), according to OpenAlex
Citations: not cited yet (Europe PMC); 38 references in the paper

Abstract

Background: The benefits of improved systolic blood pressure (SBP) control on stroke, coronary heart disease, and heart failure are well-established, yet its effect on overall cerebral small vessel disease (SVD) burden remains uncharacterized. We examined the association between intensive SBP control and change in SVD burden.

Methods: We conducted a post-hoc analysis of the Systolic Blood Pressure Intervention Trial (SPRINT), a multicenter randomized clinical trial. Of 1267 hypertensive individuals aged ≥50 years without diabetes or prior stroke screened for the brain MRI substudy, 663 and 442 participants completed brain MRI that met quality control criteria and had complete data on SVD indicators at baseline and at a median of 3.9 (interquartile range, 3.6–4.1) years after randomization, respectively. From November 2010 to March 2013, participants were randomly assigned to an intensive SBP target of <120 mmHg (n = 348) or a standard target of <140 mmHg (n = 315). Post-hoc outcome was change in a global SVD factor, longitudinally validated using confirmatory factor analysis and designed to capture overall SVD-related vascular brain injury by integrating three complementary imaging endophenotypes: periventricular white matter hyperintensities, white matter free water, and basal ganglia perivascular spaces. This trial is registered with ClinicalTrials.gov (NCT01206062).

Findings: Mean [SD] baseline age was 68.1 (8.6) years; 263 [40%] participants were women. Compared with standard SBP treatment, intensive treatment was associated with significantly less SVD progression (standardized mean difference [Cohen's d] = −0.40 [95% CI, −0.62 to −0.17]). We also observed gradually more favorable SVD burden changes with greater attained SBP reductions, demonstrating a clear dose–response relationship: 21.2% (95% CI, 7.4%–35%), 26.3% (13.1%–39.5%), and 39.4% (24.2%–54.5%) less progression relative to baseline SVD burden for SBP reductions of 0–10 mmHg, 10–20 mmHg, and ≥20 mmHg, respectively.

Interpretation: Among hypertensive adults, targeting an SBP of <120 mmHg, compared with <140 mmHg, was associated with less progression of SVD burden. Even modest SBP reductions of ≤10 mmHg conferred measurable brain benefits, with larger reductions providing incrementally greater protection against SVD progression.

Funding: National Institutes of Health, National Heart, Lung, and Blood Institute, National Institute of Diabetes and Digestive and Kidney Diseases, National Institute on Aging, and National Institute of Neurological Disorders and Stroke.

Reproduced under the paper's license (CC BY), from the paper cited above.

Repository

Its files are read in the Code ↔ Paper reader above, with 7 matches between paragraphs and lines of code.

UTHSCSA-NAL/SPRINT_SVD

License: none: the authors keep all their rights
State: the link answers, verified on 27 September 2026
Evidence: files inventoried
Commit: ce6d95d69bd81a9f15cb1cffdd7011a7fdb14290, 5 July 2026
Languages: R (1)
Size: 2 files, 1 script
Software Heritage: not archived
Found in: “Data sharing statement”
Holds: README
Not found: license file, CITATION.cff, environment file, tests, continuous integration, documentation
Tools: lavaan (1 file), tidyverse (1 file)
Availability: 1 check, the latest on 27 September 2026: the link answers
  • 27 September 2026: the link answers
2 files

The paper's code and data availability statement is in the Data section.

Tracing map

Proposed by the machine: these links were found in the paper and verified at the source, without human review. The map will receive a Zenodo DOI once one of the paper's authors has validated it with their ORCID.

What the map holds:

  • 1 repository of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
  • 1 script, each with its path and the digest of its content;
  • 7 matches between paragraphs of the paper and lines of the code (method lexical-v1);
  • neither the text of the paper nor the code itself.

Its JSON (tracing-map.json) is deposited on Zenodo with its DOI once the map is validated.

Data

No dataset and no data link were found in the paper.

Data sharing statement

Deidentified participant data, along with relevant data dictionaries, are available through BioLINCC (https://biolincc.nhlbi.nih.gov/studies/sprint) to investigators who provide an Institutional Review Board/Ethics approval, or certification of exemption from Institutional Review Board/Ethics review, and who agree to the terms and conditions of a data use agreement. Data are available for any purpose, unless prohibited by the informed consent. The source code for the conducted analyses is available at https://github.com/UTHSCSA-NAL/SPRINT_SVD.

Reproduced under the paper's license (CC BY), from the paper cited above.

Versions

The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.

Version 3, 28 September 2026

  • Authors: added Tanweer Rashid (0000-0001-6844-9558); Niyas Shamsudeen Kutty (0000-0001-5511-4249); Kyle C. Kern (0000-0002-2703-7669); Lenore Launer (0000-0002-3238-7612); Mohamad Habes (0000-0001-9447-5805); removed Tanweer Rashid; Niyas Shamsudeen Kutty; Kyle C. Kern; Lenore Launer; Mohamad Habes

Version 1, 27 September 2026: the first record

Recorded: type, language, journal, volume, pages, dates, 17 authors, 7 keywords, 25 funders, 36 references.

Cite

This paper

Charisis, S., Pajewski, N. M., Price, L. R., Ho, N. H., Rashid, T., Wang, D., Zeng, Y., Kutty, N. S., Bryan, R. N., Kern, K. C., Dickerson, B. C., Seshadri, S., Nasrallah, I., Launer, L., Davatzikos, C., Williamson, J. D., & Habes, M. (2026). Intensive versus standard blood pressure control and overall brain small vessel disease burden: a post-hoc analysis of the SPRINT randomized clinical trial. EClinicalMedicine, 99, 104143. https://doi.org/10.1016/j.eclinm.2026.104143

BibTeX

@article{charisis2026intensive,
author = {Charisis, Sokratis and Pajewski, Nicholas M. and Price, Larry R. and Ho, Ngoc Huynh and Rashid, Tanweer and Wang, David and Zeng, Yuheng and Kutty, Niyas Shamsudeen and Bryan, R. Nick and Kern, Kyle C. and Dickerson, Bradford C. and Seshadri, Sudha and Nasrallah, Ilya and Launer, Lenore and Davatzikos, Christos and Williamson, Jeff D. and Habes, Mohamad},
title = {{Intensive versus standard blood pressure control and overall brain small vessel disease burden: a post-hoc analysis of the SPRINT randomized clinical trial}},
journal = {EClinicalMedicine},
year = {2026},
month = aug,
volume = {99},
pages = {104143},
publisher = {Elsevier},
issn = {2589-5370},
doi = {10.1016/j.eclinm.2026.104143},
url = {https://doi.org/10.1016/j.eclinm.2026.104143},
pmid = {42614618},
pmcid = {PMC13482511}
}

RIS

TY - JOUR
AU - Charisis, Sokratis
AU - Pajewski, Nicholas M.
AU - Price, Larry R.
AU - Ho, Ngoc Huynh
AU - Rashid, Tanweer
AU - Wang, David
AU - Zeng, Yuheng
AU - Kutty, Niyas Shamsudeen
AU - Bryan, R. Nick
AU - Kern, Kyle C.
AU - Dickerson, Bradford C.
AU - Seshadri, Sudha
AU - Nasrallah, Ilya
AU - Launer, Lenore
AU - Davatzikos, Christos
AU - Williamson, Jeff D.
AU - Habes, Mohamad
TI - Intensive versus standard blood pressure control and overall brain small vessel disease burden: a post-hoc analysis of the SPRINT randomized clinical trial
T2 - EClinicalMedicine
J2 - eClinicalMedicine
PY - 2026
DA - 2026/08/11
VL - 99
SP - 104143
SN - 2589-5370
PB - Elsevier
DO - 10.1016/j.eclinm.2026.104143
UR - https://doi.org/10.1016/j.eclinm.2026.104143
LA - en
ER -

CSL-JSON

{
"id": "10.1016/j.eclinm.2026.104143",
"type": "article-journal",
"title": "Intensive versus standard blood pressure control and overall brain small vessel disease burden: a post-hoc analysis of the SPRINT randomized clinical trial",
"container-title": "EClinicalMedicine",
"author": [
{
"family": "Charisis",
"given": "Sokratis"
},
{
"family": "Pajewski",
"given": "Nicholas M."
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{
"family": "Price",
"given": "Larry R."
},
{
"family": "Ho",
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},
{
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{
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{
"family": "Zeng",
"given": "Yuheng"
},
{
"family": "Kutty",
"given": "Niyas Shamsudeen"
},
{
"family": "Bryan",
"given": "R. Nick"
},
{
"family": "Kern",
"given": "Kyle C."
},
{
"family": "Dickerson",
"given": "Bradford C."
},
{
"family": "Seshadri",
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},
{
"family": "Nasrallah",
"given": "Ilya"
},
{
"family": "Launer",
"given": "Lenore"
},
{
"family": "Davatzikos",
"given": "Christos"
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{
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"given": "Jeff D."
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{
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"given": "Mohamad"
}
],
"container-title-short": "eClinicalMedicine",
"volume": "99",
"page": "104143",
"DOI": "10.1016/j.eclinm.2026.104143",
"PMID": "42614618",
"PMCID": "PMC13482511",
"ISSN": "2589-5370",
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"language": "en",
"issued": {
"date-parts": [
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11
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]
}
}

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[8] doi:10.1093/braincomms/fcag080 [code]
Synergistic effects of cerebral small vessel disease burden and plasma phosphorylated tau 181 on white matter microstructure and cognition in a Chinese cohort.
Journal: Brain communications
In common: tidyverse, stroke, structural MRI / diffusion, 2 references
[9] doi:10.1212/wnl.0000000000218164 [code]
Race and Ethnicity, Hypertension, and Neuroimaging Markers of Brain Aging: A Causal Mediation Analysis in the HABS-HD Study.
Journal: Neurology
In common: tidyverse, structural MRI / diffusion, clinical / translational, 2 references
[10] doi:10.3389/fnut.2026.1837406 [code]
MIND diet moderates the associations between cerebrovascular and neurodegenerative disease burden and cognition.
Journal: Frontiers in nutrition
In common: tidyverse, stroke, structural MRI / diffusion, 2 references

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