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April 1, 1991AJP Heart and Circulatory Physiology

Mathematical model of geometry and fibrous structure of the heart

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Key result

A mathematical model using finite elements provided a realistic description of ventricular epicardial (RMS error <0.9 mm) and endocardial (RMS error <2.6 mm) surfaces in a canine heart.

Population

Canine heart arrested in diastole and fixed at zero transmural pressure

Design

Preclinical

Authors

PNPoul M. F. NielsenAuckland Institute of StudiesIGI. J. Le GriceUniversity of AucklandBSBruce H. SmaillUniversity of Auckland

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Implication

May inform canine cardiac simulations; leaves open human validation of finite element models.

Key Points

  • The aim is to create a mathematical model that accurately represents the geometry and muscle fiber organization of the heart.
  • Developed a finite element model in a prolate spheroid coordinate system.
  • Characterized ventricular geometry and fiber orientations using 24-element and 60-element meshes.
  • Fitted nodal parameters through least squares for curve fitting.
  • Epicardial surfaces showed an RMS error of less than 0.9 mm.
  • Endocardial surfaces demonstrated an RMS error of less than 2.6 mm.
  • Measured fiber orientations fitted with RMS error of less than 17 degrees.

Structured PICO

P
Population
Canine heart arrested in diastole and fixed at zero transmural pressure
I
Intervention
Mathematical representation of ventricular geometry and muscle fiber organization using three-dimensional finite elements
O
Outcome
Accuracy of the anatomic description (root mean square error of epicardial/endocardial surfaces and fiber fields)

A mathematical model using three-dimensional finite elements accurately represents ventricular geometry and muscle fiber organization, providing a compact anatomic description suitable for cardiac field modeling.

Cite This Study

Nielsen et al. (1991) studied Ventricular geometry and muscle fiber organization (n=1). Mathematical representation using three-dimensional finite elements was evaluated on Root mean square (RMS) error of fitted surfaces and fiber fields. A mathematical model using finite elements provided a realistic description of ventricular epicardial (RMS error <0.9 mm) and endocardial (RMS error <2.6 mm) surfaces in a canine heart.

synapsesocial.com/papers/6a0838fc280cd4e998e8af84https://doi.org/10.1152/ajpheart.1991.260.4.h1365
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Three-dimensional myocardial and ventricular shape: a surface representation1981 · 33 citations
  2. 2Computer Modeling of the Human Left Ventricle1982 · 20 citations
  3. 3Three‐dimensional reconstruction of the myofiber pattern in the fetal and neonatal mouse heart1989 · 28 citations
  4. 4Influence of cardiac fiber orientation on wavefront voltage, conduction velocity, and tissue resistivity in the dog.1979 · 440 citations
  5. 5The Reconstruction of Three-Dimensional Objects from Two Orthogonal Projections and its Application to Cardiac Cineangiography1973 · 81 citations