title: A nonlinear biomathematical model for the study of intracranial aneurysms.
abstract: The formation and rupture of aneurysms is a significant medical problem, but is not clearly understood. Most intracranial aneurysm are located in the circle of Willis. We consider a nonlinear mathematical model that simulates the blood flow inside the aneurysm, one of the relevant factors in the evolution of an aneurysm. Different techniques from nonlinear analysis are used in order to obtain, from the model, several consequences that would help to understand some medical aspects of aneurysms of the circle of Willis.
authors.affiliation: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15706, Compostela, Spain. amnieto@usc.es
authors.forename: J J
authors.initials: JJ
authors.lastname: Nieto
authors.forename: A
authors.initials: A
authors.lastname: Torres
mesh_terms: D002941:Circle of Willis / Q000502:physiology*; D006801:Humans; D002532:Intracranial Aneurysm / Q000503:physiopathology; D008955:Models, Cardiovascular; D017711:Nonlinear Dynamics