title: Correlations of coronary plaque wall thickness with wall pressure and wall pressure gradient: a representative case study.
abstract: BACKGROUND
  There are two major hemodynamic stresses imposed at the blood arterial wall interface by flowing blood: the wall shear stress (WSS) acting tangentially to the wall, and the wall pressure (WP) acting normally to the wall. The role of flow wall shear stress in atherosclerosis progression has been under intensive investigation, while the impact of blood pressure on plaque progression has been under-studied.
  
  
  METHODS
  The correlations of wall thickness (WT) with wall pressure (WP, blood pressure on the lumen wall) and spatial wall pressure gradient (WPG) in a human atherosclerotic right coronary artery were studied. The pulsatile blood flow was simulated using a three dimensional mathematical model. The blood was treated as an incompressible viscous non-Newtonian fluid. The geometry of the artery was re-constructed using an in vivo intravascular ultrasound (IVUS) 44-slice dataset obtained from a patient with consent obtained. The WT, the WP and the WPG were averaged on each slice, respectively, and Pearson correlation analysis was performed on slice averaged base. Each slice was then divided into 8 segments and averaged vessel WT, WP and WPG were collected from all 352 segments for correlation analysis. Each slice was also divided into 2 segments (inner semi-wall of bend and outer semi-wall of bend) and the correlation analysis was performed on the 88 segments.
  
  
  RESULTS
  Under mean pressure, the Pearson coefficient for correlation between WT and WP was r = - 0.52 (p < 0.0001) by 2-segment analysis and r = - 0.81 (p < 0.0001) by slice averaged analysis, respectively. The Pearson coefficient for correlation between WT and WPG was r = 0.30 (p = 0.004) by 2-segment analysis and r = 0.45 (p = 0.002) by slice averaged analysis, respectively. The r-values corresponding to systole and diastole pressure conditions were similar.
  
  
  CONCLUSIONS
  Results from this representative case report indicated that plaque wall thickness correlated negatively with wall pressure (r = -0.81 by slice) and positively with wall pressure gradient (r = 0.45). The slice averaged WT has a strong linear relationship with the slice averaged WP. Large-scale patient studies are needed to further confirm our findings.
authors: Department of Mathematics, Monmouth University, West Long Branch, NJ 07764, USA. bliu@monmouth.edu
authors: Biyue
authors: B
authors: Liu
authors: Jie
authors: J
authors: Zheng
authors: Richard
authors: R
authors: Bach
authors: Dalin
authors: D
authors: Tang
mesh_terms: D001794:Blood Pressure; D023921:Coronary Stenosis / Q000503:physiopathology; D003331:Coronary Vessels / Q000503:physiopathology*; D006439:Hemodynamics; D006801:Humans; D008954:Models, Biological; D058226:Plaque, Atherosclerotic / Q000503:physiopathology*; D013314:Stress, Mechanical; D013997:Time Factors