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Mathematical Modeling of Metabolism and Hemodynamics

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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.

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Acknowledgments

Partially supported by an ANR grant “Analyse non linéaire et applications aux rythmes du vivant” BLAN07-2-182920.

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Authors and Affiliations

  1. UPMC, UMI 209, UMMISCO, University of Paris-6, 75005, Paris, France

    R. Costalat

  2. IRD, UMI 209, UMMISCO, 93143, Bondy Cedex, France

    R. Costalat

  3. Laboratoire Jacques–Louis Lions, UMR 7598 CNRS, Université P.-M. Curie, Paris 6, 4 Pl. Jussieu, 16-26, 75252, Paris, France

    J.-P. Francoise

  4. 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

    C. Menuel, J. Chiras & R. Guillevin

  5. Hopital des Armées, Val-de-Grâce, Service de Radiologie, 74 Bd de Port-Royal, 75005, Paris, France

    M. Lahutte

  6. Department of Neuroradiology, Amiens University Medical Center, University of Picardie-Jules Vernes, chemin du Thil, 80025, Amiens, France

    J.-N. Vallée

  7. Laboratoire contrôle moteur et mouvement, UFR STAPS, Paris X, 200, avenue de la République, 92001, Nanterre, France

    G. de Marco

Authors
  1. R. Costalat
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  2. J.-P. Francoise
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  3. C. Menuel
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  4. M. Lahutte
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  5. J.-N. Vallée
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  6. G. de Marco
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  7. J. Chiras
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  8. R. Guillevin
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Corresponding author

Correspondence to J.-P. Francoise.

Additional information

Partially supported by an ANR grant “Analyse non linéaire et applications aux rythmes du vivant” BLAN07-2-182920.

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Costalat, R., Francoise, JP., Menuel, C. et al. Mathematical Modeling of Metabolism and Hemodynamics. Acta Biotheor 60, 99–107 (2012). https://doi.org/10.1007/s10441-012-9157-1

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  • DOI: https://doi.org/10.1007/s10441-012-9157-1

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