title: A recursive anisotropic fast marching approach to reaction diffusion equation: application to tumor growth modeling.
abstract: Bridging the gap between clinical applications and mathematical models is one of the new challenges of medical image analysis. In this paper, we propose an efficient and accurate algorithm to solve anisotropic Eikonal equations, in order to link biological models using reaction-diffusion equations to clinical observations, such as medical images. The example application we use to demonstrate our methodology is tumor growth modeling. We simulate the motion of the tumor front visible in images and give preliminary results by solving the derived anisotropic Eikonal equation with the recursive fast marching algorithm.
authors.affiliation: Asclepios Research Project, INRIA Sophia Antipolis, France. ender.konukoglu@sophia.inria.fr
authors.forename: Ender
authors.initials: E
authors.lastname: Konukoglu
authors.forename: Maxime
authors.initials: M
authors.lastname: Sermesant
authors.forename: Olivier
authors.initials: O
authors.lastname: Clatz
authors.forename: Jean-Marc
authors.initials: JM
authors.lastname: Peyrat
authors.forename: Hervé
authors.initials: H
authors.lastname: Delingette
authors.forename: Nicholas
authors.initials: N
authors.lastname: Ayache
mesh_terms: D000465:Algorithms; D016880:Anisotropy; D001932:Brain Neoplasms / Q000473:pathology* / Q000503:physiopathology*; D049109:Cell Proliferation; D004058:Diffusion; D005910:Glioma / Q000473:pathology* / Q000503:physiopathology*; D006801:Humans; D008954:Models, Biological