On 1-D PDE-Based Cardiovascular Flow Bottleneck Modeling and Analysis: A Vehicular Traffic Flow-Inspired Approach

• 成果类型: Article
• 署名作者: Bekiaris-Liberis, Nikolaos
• 署名单位: Technical University of Crete
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3195148
• 发表日期: 2023
• 页码: 3728-3735
• 关键词: Blood; mathematical models; Arteries; Vehicle dynamics; Boundary conditions; computational modeling; Analytical models; Cardiovascular flow stenosis; hyperbolic PDE systems; Modeling; traffic flow bottleneck

摘要

We illustrate the potential of partial differential equation (PDE)-based traffic flow control in cardiovascular flow analysis, monitoring, and control, presenting a PDE-based control-oriented formulation, for one-dimensional (1-D) blood flow dynamics in the presence of stenosis. This is achieved adopting an approach for modeling and analysis that relies on the potential correspondence of 1-D blood flow dynamics in the presence of stenosis, with 1-D traffic flow dynamics in the presence of bottleneck. We reveal such correspondence in relation to the respective (for the two flow types), speed dynamics and a (consistent with them) fundamental diagram-based reduction; bottleneck dynamic effects description and resulting boundary conditions; and free-flow/congested regimes characterization.