TY - JOUR
T1 - Coupling reduced-order blood flow and cardiac models through energy-consistent strategies
T2 - modeling and discretization
AU - Manganotti, Jessica
AU - Caforio, Federica
AU - Kimmig, François
AU - Moireau, Philippe
AU - Imperiale, Sebastien
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/12/1
Y1 - 2021/12/1
N2 - In this work we provide a novel energy-consistent formulation for the classical 1D formulation of blood flow in an arterial segment. The resulting reformulation is shown to be suitable for the coupling with a lumped (0D) model of the heart that incorporates a reduced formulation of the actin-myosin interaction. The coupling being consistent with energy balances, we provide a complete heart-circulation model compatible with thermodynamics hence stable numerically and informative physiologically. These latter two properties are verified by numerical experiments.
AB - In this work we provide a novel energy-consistent formulation for the classical 1D formulation of blood flow in an arterial segment. The resulting reformulation is shown to be suitable for the coupling with a lumped (0D) model of the heart that incorporates a reduced formulation of the actin-myosin interaction. The coupling being consistent with energy balances, we provide a complete heart-circulation model compatible with thermodynamics hence stable numerically and informative physiologically. These latter two properties are verified by numerical experiments.
KW - Ageing
KW - Cardiovascular modelling
KW - Dicrotic notch
KW - Energy-preserving time-scheme
KW - Heart models
KW - Reduced-order models
KW - Shallow-water models
U2 - 10.1186/s40323-021-00206-4
DO - 10.1186/s40323-021-00206-4
M3 - Article
AN - SCOPUS:85115855727
SN - 2213-7467
VL - 8
JO - Advanced Modeling and Simulation in Engineering Sciences
JF - Advanced Modeling and Simulation in Engineering Sciences
IS - 1
M1 - 21
ER -