title: Mathematical modeling of metabolism and hemodynamics.
abstract: We provide a mathematical study of a model of energy metabolism and hemodynamics of glioma allowing a better understanding of metabolic modifications leading to anaplastic transformation from low grade glioma. This mathematical analysis allows ultimately to unveil the solution to a viability problem which seems quite pertinent for applications to medecine.
authors.affiliation: UPMC, UMI, UMMISCO, University of Paris, France.
authors.forename: R
authors.initials: R
authors.lastname: Costalat
authors.forename: J-P
authors.initials: JP
authors.lastname: Francoise
authors.forename: C
authors.initials: C
authors.lastname: Menuel
authors.forename: M
authors.initials: M
authors.lastname: Lahutte
authors.forename: J-N
authors.initials: JN
authors.lastname: Vallée
authors.forename: G
authors.initials: G
authors.lastname: de Marco
authors.forename: J
authors.initials: J
authors.lastname: Chiras
authors.forename: R
authors.initials: R
authors.lastname: Guillevin
mesh_terms: D001932:Brain Neoplasms / Q000378:metabolism; D004734:Energy Metabolism; D005910:Glioma / Q000378:metabolism; D006439:Hemodynamics; D006801:Humans; D009682:Magnetic Resonance Spectroscopy; D008962:Models, Theoretical