A Mathematical Model for Growing Metastases on Oncologists’s Service
| hal.structure.identifier | Centre de Recherches en Oncologie biologique et Oncopharmacologie [CRO2] | |
| dc.contributor.author | BARBOLOSI, Dominique | |
| hal.structure.identifier | Laboratoire d'Analyse, Topologie, Probabilités [LATP] | |
| dc.contributor.author | BENABDALLAH, Assia | |
| hal.structure.identifier | Modélisation, contrôle et calcul [MC2] | |
| dc.contributor.author | BENZEKRY, Sébastien | |
| hal.structure.identifier | Centre de Recherches en Oncologie biologique et Oncopharmacologie [CRO2] | |
| dc.contributor.author | CICCOLINI, Joseph | |
| hal.structure.identifier | Écologie, Évolution, Symbiose [Équipe du laboratoire EBI Poitiers] [EES] | |
| dc.contributor.author | FAIVRE, Christian | |
| hal.structure.identifier | Biodiversité, Gènes & Communautés [BioGeCo] | |
| dc.contributor.author | HUBERT, Florence | |
| hal.structure.identifier | Laboratoire d'Analyse, Topologie, Probabilités [LATP] | |
| dc.contributor.author | VERGA, Federico | |
| hal.structure.identifier | Ciblage thérapeutique en Oncologie [EA3738] | |
| dc.contributor.author | YOU, Benoit | |
| dc.date.issued | 2014 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.source.title | Computational Surgery and Dual Training | |
| dc.title.en | A Mathematical Model for Growing Metastases on Oncologists’s Service | |
| dc.type | Chapitre d'ouvrage | |
| dc.identifier.doi | 10.1007/978-1-4614-8648-0_21 | |
| dc.subject.hal | Sciences du Vivant [q-bio]/Cancer | |
| bordeaux.page | 331 - 338 | |
| bordeaux.title.proceeding | Computational Surgery and Dual Training | |
| hal.identifier | hal-01087708 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01087708v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Computational%20Surgery%20and%20Dual%20Training&rft.date=2014&rft.spage=331%20-%20338&rft.epage=331%20-%20338&rft.au=BARBOLOSI,%20Dominique&BENABDALLAH,%20Assia&BENZEKRY,%20S%C3%A9bastien&CICCOLINI,%20Joseph&FAIVRE,%20Christian&rft.genre=unknown |
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