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Journal Articles Advanced Modeling and Simulation in Engineering Sciences Year : 2021

Coupling reduced-order blood flow and cardiac models through energy-consistent strategies: modeling and discretization

Abstract

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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Dates and versions

hal-03382705 , version 1 (18-10-2021)

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Jessica Manganotti, Federica Caforio, François Kimmig, Philippe Moireau, Sébastien Imperiale. Coupling reduced-order blood flow and cardiac models through energy-consistent strategies: modeling and discretization. Advanced Modeling and Simulation in Engineering Sciences, 2021, 8, ⟨10.1186/s40323-021-00206-4⟩. ⟨hal-03382705⟩
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