Coupling multi-physics models to cardiac mechanics
We outline and review the mathematical framework for representing mechanical deformation and contraction of the cardiac ventricles, and how this behaviour integrates with other processes crucial for understanding and modelling heart function. Building on general conservation principles of space, mas...
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| Published in | Progress in biophysics and molecular biology Vol. 104; no. 1; pp. 77 - 88 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
England
Elsevier Ltd
2011
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| Subjects | |
| Online Access | Get full text |
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| Abstract | We outline and review the mathematical framework for representing mechanical deformation and contraction of the cardiac ventricles, and how this behaviour integrates with other processes crucial for understanding and modelling heart function. Building on general conservation principles of space, mass and momentum, we introduce an arbitrary Eulerian–Lagrangian framework governing the behaviour of both fluid and solid components. Exploiting the natural alignment of cardiac mechanical properties with the tissue microstructure, finite deformation measures and myocardial constitutive relations are referred to embedded structural axes. Coupling approaches for solving this large deformation mechanics framework with three dimensional fluid flow, coronary hemodynamics and electrical activation are described. We also discuss the potential of cardiac mechanics modelling for clinical applications. |
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| AbstractList | We outline and review the mathematical framework for representing mechanical deformation and contraction of the cardiac ventricles, and how this behaviour integrates with other processes crucial for understanding and modelling heart function. Building on general conservation principles of space, mass and momentum, we introduce an arbitrary Eulerian-Lagrangian framework governing the behaviour of both fluid and solid components. Exploiting the natural alignment of cardiac mechanical properties with the tissue microstructure, finite deformation measures and myocardial constitutive relations are referred to embedded structural axes. Coupling approaches for solving this large deformation mechanics framework with three dimensional fluid flow, coronary hemodynamics and electrical activation are described. We also discuss the potential of cardiac mechanics modelling for clinical applications. |
| Author | Hunter, P.J. Nash, M.P. Nordsletten, D.A. Niederer, S.A. Smith, N.P. |
| Author_xml | – sequence: 1 givenname: D.A. surname: Nordsletten fullname: Nordsletten, D.A. organization: Computing Laboratory, University of Oxford, Oxford OX1 3QD, UK – sequence: 2 givenname: S.A. surname: Niederer fullname: Niederer, S.A. organization: Computing Laboratory, University of Oxford, Oxford OX1 3QD, UK – sequence: 3 givenname: M.P. surname: Nash fullname: Nash, M.P. organization: Auckland Bioengineering Institute, University of Auckland, New Zealand – sequence: 4 givenname: P.J. surname: Hunter fullname: Hunter, P.J. organization: Auckland Bioengineering Institute, University of Auckland, New Zealand – sequence: 5 givenname: N.P. surname: Smith fullname: Smith, N.P. email: nic.smith@comlab.ox.ac.uk organization: Computing Laboratory, University of Oxford, Oxford OX1 3QD, UK |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/19917304$$D View this record in MEDLINE/PubMed |
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| Keywords | Large deformation mechanics Multi-physics modelling Cardiac mechanics |
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| Snippet | We outline and review the mathematical framework for representing mechanical deformation and contraction of the cardiac ventricles, and how this behaviour... |
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| SubjectTerms | Biomechanical Phenomena Cardiac mechanics Coronary Circulation - physiology Coronary Vessels - physiology Forecasting Hemodynamics - physiology Humans Large deformation mechanics Models, Cardiovascular Multi-physics modelling Myocardial Contraction - physiology Ventricular Function - physiology |
| Title | Coupling multi-physics models to cardiac mechanics |
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