BARBOLOSI, Dominique; BENABDALLAH, Assia; BENZEKRY, Sébastien; CICCOLINI, Joseph; FAIVRE, Christian; HUBERT, Florence; VERGA, Federico; YOU, Benoit

doi:10.1007/978-1-4614-8648-0_21

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BARBOLOSI, Dominique
Centre de Recherches en Oncologie biologique et Oncopharmacologie [CRO2]

BENABDALLAH, Assia
Laboratoire d'Analyse, Topologie, Probabilités [LATP]

BENZEKRY, Sébastien
Modélisation, contrôle et calcul [MC2]

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Computational Surgery and Dual Training, Computational Surgery and Dual Training. 2014p. 331 - 338

Springer

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The dual classification of cancer as localized or metastatic disease is one of the key point in the elaboration of the best therapy for each patient. Neverthe-less, many studies reveal that part of these localized diseases are already metastatic. The presence of undetectable or micro-metastases explains the necessity of adjuvant chemotherapies after resection of the primary tumor even for some T1N0M0 cancer. There is probably a continuum between these two stages. We expose here how a mathematical model of growing metastases could reflect this continuum of the disease and how such a model could help the oncologists in the choice of the treatment. This phenomenological model is based on a structured transport equations with non local boundary condition describing the evolution of the density of metastasis. Thanks to this model, we forge a new numerical index, that we call Metastatic Index, able to reveal either the micro-metastatic state of the patient, or the visible metastatic one. Numerical illustrations show how this new index can be used.< Leer menos

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A Mathematical Model for Growing Metastases on Oncologists’s Service

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