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Reduced-Order Cerebrovascular Modeling of the Aging Vascular System

Abstract

In medical conditions with disrupted cerebrovascular flow, including chronic alterations throughout aging or acute events such as ischemic stroke, cerebrovascular modeling can provide mechanistic and treatment insights. Reduced-order cerebrovascular modeling can be particularly useful for patient-specific or population-averaged cerebrovascular hemodynamics, where the governing flow dynamics include physically-driven non-linear constraints with active homeostatic regulation as well as highly variable and interconnected cerebral blood vessel networks. A coupled one-dimensional lumped parameter network (1D-LPN) cerebrovascular model is described with myogenic and CO2 reactivity autoregulation modeling, circle of willis anatomical variations, cortical collateral flow compensation, cerebrospinal fluid generation/reabsorption, and intracranial pressure dynamics modeling. For parameter tuning of the numerous cerebrovascular model variables, a Bayesian optimization procedure establishes crucial parameter values with the remaining model parameters assigned through vascular aging and cerebral autoregulation quantitative population-averaged reviews. A specific focus on cerebrovascular aging alterations, a major source of vascular variance besides patient-specific variations, explores the parameter tuning procedure in a young population. The coupled 1D-LPN cerebrovascular model design, age-related vascular critical review, cerebral autoregulation critical review, and model parameter tuning procedure, comprises a prototype vascular test bed with the capability to model cerebrovascular-specific medical conditions while accounting for age-related vascular alterations.

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