Ureterovesical junction deformation during urine storage in the bladder and the effect on vesicoureteral reflux

The motivation behind this study is to understand how ureterovesical junction (UVJ) deformation during urine storage in the bladder affects vesicoureteral reflux (VUR), when urine flows backward from the bladder toward the kidneys. Using nonlinear, large deformation finite element simulations, the deformation of the bladder wall during urine storage is modeled in this study. The bladder wall is assumed to be a homogeneous, isotropic, hyperelastic spherical shell with a finite thickness. The UVJ is defined as a straight elliptical cylindrical hole through the bladder wall at the reference configuration before inflation. Broad parametric studies on different UVJ configurations are performed as the bladder inner surface stretches by a factor of 2.2 from an initial radius corresponding to bladder volumes of 10% to slightly over physiologic capacity. For each considered UVJ configuration, a simple fluid analysis of the tunnel flow resistance compares different bladder inner surface stretch ratios. Our model shows that the deformation of the UVJ depends on its orientation with respect to the bladder wall radial and circumferential directions. We show that as the UVJ insertion angle increases, the UVJ cross section decreases and its tunnel length increases during urine storage causing the closure of the UVJ and a rise in its flow resistance. The modeling results indicate that UVJ closure could be explained by bladder wall deformation rather than the local differential pressure. Our findings are consistent with the accepted primary anti-reflux mechanism of the UVJ being dependent on the tunnel length-to-diameter ratio and consequently the UVJ insertion angle.