A. Rachev et al., A MODEL FOR GEOMETRIC AND MECHANICAL ADAPTATION OF ARTERIES TO SUSTAINED HYPERTENSION, Journal of biomechanical engineering, 120(1), 1998, pp. 9-17
This study aimed to model phenomenologically the dynamics of arterial
wall remodeling under hypertensive conditions. Sustained hypertension
was simulated by a step increase in blood pressure. The arterial wall
was considered to be a thick-walled tube made of nonlinear elastic inc
ompressible material. Remodeling rate equations were postulated for th
e evolution of the geometric dimensions of the hypertensive artery at
the zero-stress state, as well as for one of the material constants in
the constitutive equations. The driving stimuli for the geometric ada
ptation are the normalized deviations of wall stresses from their valu
es under normotensive conditions. The geometric dimensions are modulat
ed by the evolution of the deformed inner radius, which serves to rest
ore the level of the flow-induced shear stresses at the arterial endot
helium. Mechanical adaptation is driven by the difference between the
area compliance under hypertensive and normotensive conditions. The pr
edicted rime course of the geometry and mechanical properties of arter
ial wall are in good qualitative agreement with publishes experimental
findings. The model predicts that the geometric adaptation maintains
the stress distribution in arterial wall to its control level, while t
he mechanical adaptation restores the normal arterial function under i
nduced hypertension.