Mathematical Modeling of Metabolism and Hemodynamics

Acta Biotheoretica (forthcoming)
Abstract
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. Content Type Journal Article Category Regular Article Pages 1-9 DOI 10.1007/s10441-012-9157-1 Authors R. Costalat, UPMC, UMI 209, UMMISCO, University of Paris-6, 75005 Paris, France J.-P. Francoise, Laboratoire Jacques–Louis Lions, UMR 7598 CNRS, Université P.-M. Curie, Paris 6, 4 Pl. Jussieu, 16-26, 75252 Paris, France C. Menuel, Inserm U678, Functional Imaging Laboratory, Department of Neuroradiology, Pitiè-Sapêtrière Hospital, Université P.-M. Curie, Paris 6, 4783, boulevard de l’Hôpital, 75651 Paris Cedex 13, France M. Lahutte, Hopital des Armées, Val-de-Grâce, Service de Radiologie, 74 Bd de Port-Royal, 75005 Paris, France J.-N. Vallée, Department of Neuroradiology, Amiens University Medical Center, University of Picardie-Jules Vernes, chemin du Thil, 80025 Amiens, France G. de Marco, Laboratoire contrôle moteur et mouvement, UFR STAPS, Paris X, 200, avenue de la République, 92001 Nanterre, France J. Chiras, Inserm U678, Functional Imaging Laboratory, Department of Neuroradiology, Pitiè-Sapêtrière Hospital, Université P.-M. Curie, Paris 6, 4783, boulevard de l’Hôpital, 75651 Paris Cedex 13, France R. Guillevin, Inserm U678, Functional Imaging Laboratory, Department of Neuroradiology, Pitiè-Sapêtrière Hospital, Université P.-M. Curie, Paris 6, 4783, boulevard de l’Hôpital, 75651 Paris Cedex 13, France Journal Acta Biotheoretica Online ISSN 1572-8358 Print ISSN 0001-5342
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