A proposed mathematical model of arterial blood flow autoregulation successfully simulates arterial adaptation and equilibrium transitions, aligning with experimental data.
Model of arterial autoregulation simulates adaptation and equilibrium shifts; hypothesis-generating and requires in vivo validation before clinical consideration.
Abstract—For describing the autoregulation of the blood flow in an artery under constant transmural pressure a mathematical model that takes into account the multilayer structure of the arterial wall, the diffusion and kinetic processes in the wall, and the nonlinear viscoelastic properties of the wall material is proposed. The limiting case of a thin-walled artery is studied analytically. The arterial-wall viscosity range on which the equilibrium state of the system is stable is estimated. Accurate stationary distribu-tions of the nitric oxide, calcium and myosin concentrations in the arterial wall are found. Numerical simulation of the autoregulation process demonstrated the possibility of arterial adaptation to radius perturbations, the existence of slow oscillations, and system transition to a new equilibrium state with change in blood flow level. The results are in good agreement with the experimental data. DOI: 10.1134/S0015462808010055
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Kudryashov et al. (2008) studied this question.
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