Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. - Lucas O. Müller; Carlos Parés; Eleuterio F. Toro (J. Comput. Phys., 2013)

Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes. - Gino I. Montecinos; Lucas O. Müller; Eleuterio F. Toro (J. Comput. Phys., 2014)

A high order approximation of hyperbolic conservation laws in networks: Application to one-dimensional blood flow. - Lucas O. Müller; Pablo J. Blanco (J. Comput. Phys., 2015)

Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models. - Lucas O. Müller; Günter Leugering; Pablo J. Blanco (J. Comput. Phys., 2016)

A numerical method for junctions in networks of shallow-water channels. - Francesca Bellamoli; Lucas O. Müller; Eleuterio F. Toro (Appl. Math. Comput., 2018)

Comparison of 1D and 3D Models for the Estimation of Fractional Flow Reserve. - Pablo J. Blanco; Carlos A. Bulant; Lucas O. Müller; Gonzalo D. Maso Talou; Cristiano Guedes Bezerra; Pedro L. Lemos; Raúl A. Feijóo (CoRR, 2018)

Reduced-Order Unscented Kalman Filter With Observations in the Frequency Domain: Application to Computational Hemodynamics. - Lucas O. Müller; Alfonso Caiazzo; Pablo J. Blanco (IEEE Trans. Biomed. Eng., 2019)

Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates. - Eleuterio F. Toro; Lucas O. Müller; Annunziato Siviglia (CoRR, 2020)

Total Effective Vascular Compliance of a Global Mathematical Model for the Cardiovascular System. - Morena Celant; Eleuterio F. Toro; Lucas O. Müller (Symmetry, 2021)

Nonlinear lumped-parameter models for blood flow simulations in networks of vessels. - Beatrice Ghitti; Eleuterio F. Toro; Lucas O. Müller (CoRR, 2022)

High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties. - Ernesto Pimentel-García; Lucas O. Müller; Eleuterio F. Toro; Carlos Parés (J. Comput. Phys., 2023)

A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels. - Alessia Lucca; Saray Busto; Lucas O. Müller; Eleuterio F. Toro; Michael Dumbser (J. Comput. Phys., 2023)

On simple well-balanced semi-implicit and explicit numerical methods for blood flow in networks of elastic vessels with applications to FFR prediction. - Alessia Lucca; Lucas O. Müller; Luigi Fraccarollo; Eleuterio F. Toro; Michael Dumbser (J. Comput. Phys., 2025)