Non-linear analytic model for pulsatile blood flow in the arterial system
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Updated: Jan 11, 2026

In Vitro Model of Physiological and Pathological Blood Flow with Application to Investigations of Vascular Cell Remodeling
Published on: November 3, 2015
Dongrui Wang1, Hongxun Chen1, Zheng Ma2
1Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai, China.
Abstract:
To advance the understanding of arterial diseases, it is essential to develop hemodynamic models that accurately predict pulsatile blood flow within arterial tree. This study presented a one-dimensional (1D) nonlinear analytical model (NLAM) for simulating blood flow. By decomposing pulsatile flow, NLAM addressed nonlinear terms in governing equations and derived an analytical solution for a single artery, extended to the entire system via vessel coupling. Validation comfirms its effectiveness in simulating basic hemodynamics and identifying potential locations and severity of pathological changes. This work aims to refine previous modeling approaches and provide a theoretical basis for clinical diagnosis and treatment.
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