A. Rachev et al., THEORETICAL-STUDY OF DYNAMICS OF ARTERIAL-WALL REMODELING IN RESPONSETO CHANGES IN BLOOD-PRESSURE, Journal of biomechanics, 29(5), 1996, pp. 635-642
The dynamics of arterial wall remodeling was studied on the basis of a
phenomenological mathematical model. Sustained hypertension was simul
ated by a step increase in blood pressure. Remodeling rate equations w
ere postulated for the evolution of the geometrical dimensions that ch
aracterize the zero stress state of the artery. The driving stimuli ar
e the deviations of the extreme values of the circumferential stretch
ratios and the average stress from their values at the normotensive st
ate. Arterial wall was considered to be a thick-walled tube made of no
nlinear elastic incompressible material. Results showed that thickness
increases monotonically with time whereas the opening angle exhibits
a biphasic pattern. Geometric characteristics reach asymptotically a n
ew homeostatic steady state, in which the stress and strain distributi
on is practically identical with the distribution under normotensive c
onditions. The model predictions are in good agreement with published
experimental findings.