Reduced-order models for blood pressure drop across arterial stenoses

Jeanne Ventre (1) , Francesca Raimondi (2) , Nathalie Boddaert (2) , José Maria Fullana (1) , Pierre-Yves Lagrée (3)

1 DALEMBERT - Institut Jean Le Rond d'Alembert
2 Hôpital Necker - Enfants Malades [AP-HP]
3 DALEMBERT - Institut Jean Le Rond d'Alembert

Stenosis, defined by a partial or full obstruction of the arteries, is a frequent anomaly in the cardiovascular system. The pressure drop across a stenosis indicates the severity of the pathology. There is currently no non-invasive method to obtain this pressure drop. In this communication, we use four different blood flow models to compute the pressure in an idealized geometry of stenosis: the steady RNSP model, the Multi-Ring model, the 1D model, and algebraic models. We compare these models on a test case under a steady flow. We then developed a gradient-based parameter estimation method to compare the complex models (1D and Multi-Ring) with algebraic formulas. We used the parameter estimation to evaluate the influence of the geometry, wall elasticity and flow parameter on the empirical coefficients of the algebraic formulas.

Mots clés: reduced-order models; pressure drop; arterial stenoses

Domaines: Biomécanique [physics.med-ph]; Mécanique des fluides [physics.class-ph]; Cardiologie et système cardiovasculaire

Jeanne Ventre, Francesca Raimondi, Nathalie Boddaert, José Maria Fullana, Pierre-Yves Lagrée. Reduced-order models for blood pressure drop across arterial stenoses. 2019. ⟨hal-02331084⟩