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On 1-D PDE-based cardiovascular flow bottleneck modeling and analysis: a vehicular traffic flow-inspired approach

Bekiaris-Liberis Nikolaos

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URI: http://purl.tuc.gr/dl/dias/982D1FAF-1729-4BD4-B2A0-28A28B415D92
Year 2022
Type of Item Conference Full Paper
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Bibliographic Citation N. Bekiaris-Liberis, “On 1-D PDE-based cardiovascular flow bottleneck modeling and analysis: a vehicular traffic flow-inspired approach,” in IFAC-PapersOnLine, vol. 55, no. 7, pp. 544-549, 2022, doi: 10.1016/j.ifacol.2022.07.500. https://doi.org/10.1016/j.ifacol.2022.07.500
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Summary

We illustrate the potential of PDE-based traffic flow control in cardiovascular flow analysis, monitoring, and control, presenting a PDE-based control-oriented formulation, for 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.

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