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Some Models for the Prediction of Tumor Growth: General Framework and Applications to Metastases in the Lung

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Computational Surgery and Dual Training

Abstract

This chapter presents an example of an application of a mathematical model: the goal is here to help clinicians evaluate the aggressiveness of some metastases to the lung. For this matter, an adequate spatial model is described and two algorithms (one using a reduced model approach and the other one a sensitivity technique) are shown. They allow us to find reasonable values of the parameters of this model for a given patient with a sequence of medical images. The quality of the prognosis obtained through the calibrated model is then illustrated with several clinical cases.

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Author information

Authors and Affiliations

  1. Institut de Mathématiques de Bordeaux UMR 5251, Université de Bordeaux and INRIA Bordeaux Sud-Ouest, équipe projet MC2, 351 cours de la Libération, Talence, 33405, France

    Thierry Colin, Angelo Iollo, Damiano Lombardi & Olivier Saut

  2. Institut Bergonié, 229 Cours Argonne, 33000, Bordeaux, France

    Françoise Bonichon & Jean Palussière

Authors
  1. Thierry Colin
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  2. Angelo Iollo
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  3. Damiano Lombardi
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  4. Olivier Saut
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  5. Françoise Bonichon
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  6. Jean Palussière
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Corresponding author

Correspondence to Olivier Saut .

Editor information

Editors and Affiliations

  1. Dept of Computer Science, University of Houston, Houston, Texas, USA

    Marc Garbey

  2. Dept. Surgery, The Methodist Hospital Research Institut, Houston, Texas, USA

    Barbara Lee Bass

  3. Department of Surgery, University of Florida, Gainesville, Florida, USA

    Scott Berceli

  4. Labo. Sciences de l'Images, de l'Informatique et de la Télédétection, Université Strasbourg I ENSPS, Illkirch, France

    Christophe Collet

  5. Biomedical Engineering Department, Politecnico di Milano, Milano, Italy

    Pietro Cerveri

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Colin, T., Iollo, A., Lombardi, D., Saut, O., Bonichon, F., Palussière, J. (2014). Some Models for the Prediction of Tumor Growth: General Framework and Applications to Metastases in the Lung. In: Garbey, M., Bass, B., Berceli, S., Collet, C., Cerveri, P. (eds) Computational Surgery and Dual Training. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8648-0_19

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  • DOI: https://doi.org/10.1007/978-1-4614-8648-0_19

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-8647-3

  • Online ISBN: 978-1-4614-8648-0

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