Non-linear analytic model for pulsatile blood flow in the arterial system

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.