title: Multiplicative Jacobian Energy Decomposition method for fast porous visco-hyperelastic soft tissue model.
abstract: Simulating soft tissues in real time is a significant challenge since a compromise between biomechanical accuracy and computational efficiency must be found. In this paper, we propose a new discretization method, the Multiplicative Jacobian Energy Decomposition (MJED) which is an alternative to the classical Galerkin FEM (Finite Element Method) formulation. This method for discretizing non-linear hyperelastic materials on linear tetrahedral meshes leads to faster stiffness matrix assembly for a large variety of isotropic and anisotropic materials. We show that our new approach, implemented within an implicit time integration scheme, can lead to fast and realistic liver deformations including hyperelasticity, porosity and viscosity.
authors.affiliation: Asclepios Research Project, INRIA Sophia Antipolis, France.
authors.forename: Stéphanie
authors.initials: S
authors.lastname: Marchesseau
authors.forename: Tobias
authors.initials: T
authors.lastname: Heimann
authors.forename: Simon
authors.initials: S
authors.lastname: Chatelin
authors.forename: Rémy
authors.initials: R
authors.lastname: Willinger
authors.forename: Hervé
authors.initials: H
authors.lastname: Delingette
mesh_terms: D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D055119:Elastic Modulus / Q000502:physiology; D054459:Elasticity Imaging Techniques / Q000379:methods*; D006244:Hardness; D008099:Liver / Q000000981:diagnostic imaging* / Q000502:physiology*; D008954:Models, Biological; D016062:Porosity; D011857:Radiographic Image Interpretation, Computer-Assisted / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013552:Swine; D014057:Tomography, X-Ray Computed / Q000379:methods*; D014783:Viscosity