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

Autor: Sébastien Imperiale, François Kimmig, Federica Caforio, Philippe Moireau, Jessica Manganotti
Přispěvatelé: Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine (M3DISIM), Laboratoire de mécanique des solides (LMS), École polytechnique (X)-Mines Paris - PSL (École nationale supérieure des mines de Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-Mines Paris - PSL (École nationale supérieure des mines de Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Karl-Franzens-Universität Graz, École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris, Institute of Mathematics and Scientific Computing, University of Graz
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Work (thermodynamics)
Reduced-order models
Heart models
Discretization
Quantitative Biology::Tissues and Organs
0206 medical engineering
02 engineering and technology
030204 cardiovascular system & hematology
Energy-preserving time-scheme
Reduced order
Systems engineering
Cardiovascular modelling
03 medical and health sciences
Arterial segment
TA168
0302 clinical medicine
Computational Science and Engineering
Engineering (miscellaneous)
Physics
Coupling
Applied Mathematics
Mechanics of engineering. Applied mechanics
[SPI.MECA.BIOM]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Biomechanics [physics.med-ph]
Mechanics
Blood flow
TA349-359
Dicrotic notch
020601 biomedical engineering
Computer Science Applications
Shallow-water models
Ageing
Modeling and Simulation
Energy (signal processing)
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Zdroj: Advanced Modeling and Simulation in Engineering Sciences
Advanced Modeling and Simulation in Engineering Sciences, 2021, 8, ⟨10.1186/s40323-021-00206-4⟩
Advanced Modeling and Simulation in Engineering Sciences, SpringerOpen, 2021, 8, ⟨10.1186/s40323-021-00206-4⟩
Advanced Modeling and Simulation in Engineering Sciences, Vol 8, Iss 1, Pp 1-37 (2021)
ISSN: 2213-7467
DOI: 10.1186/s40323-021-00206-4⟩
Popis: 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.
Databáze: OpenAIRE
Externí odkaz: