Key result
Novel coupled 1D-0D blood flow and heart model proves thermodynamically compatible and numerically stable.
A novel energy-consistent mathematical formulation successfully couples 1D blood flow and 0D cardiac models, ensuring thermodynamic compatibility and numerical stability.
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.
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Manganotti et al. (2021) studied Blood flow and cardiac modeling. Energy-consistent formulation for 1D blood flow and 0D heart model coupling was evaluated on Numerical stability and physiological informativeness. A novel energy-consistent formulation coupling a 1D blood flow model with a 0D heart model was developed and verified by numerical experiments to be thermodynamically compatible and numerically stable.
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