title: A three-dimensional finite element method for large elastic deformations of ventricular myocardium: II--Prolate spheroidal coordinates.
abstract: A three-dimensional finite element method for nonlinear finite elasticity is presented using prolate spheroidal coordinates. For a thick-walled ellipsoidal model of passive anisotropic left ventricle, a high-order (cubic Hermite) mesh with 3 elements gave accurate continuous stresses and strains, with a 69 percent savings in degrees of freedom (dof) versus a 70-element standard low-order model. A custom mixed-order model offered 55 percent savings in dof and 39 percent savings in solution time compared with the low-order model. A nonsymmetric 3D model of the passive canine LV was solved using 16 high-order elements. Continuous nonhomogeneous stresses and strains were obtained within 1 hour on a laboratory workstation, with an estimated solution time of less than 4 hours to model end-systole. This method represents the first practical opportunity to solve large-scale anatomically detailed models for cardiac stress analysis.
authors.affiliation: Department of Bioengineering, University of California San Diego, La Jolla, CA, USA.
authors.forename: K D
authors.initials: KD
authors.lastname: Costa
authors.forename: P J
authors.initials: PJ
authors.lastname: Hunter
authors.forename: J S
authors.initials: JS
authors.lastname: Wayne
authors.forename: L K
authors.initials: LK
authors.lastname: Waldman
authors.forename: J M
authors.initials: JM
authors.lastname: Guccione
authors.forename: A D
authors.initials: AD
authors.lastname: McCulloch
mesh_terms: D000818:Animals; D003198:Computer Simulation; D004285:Dogs; D004548:Elasticity; D008955:Models, Cardiovascular; D009206:Myocardium / Q000378:metabolism; D013314:Stress, Mechanical; D016276:Ventricular Function / Q000502:physiology*