BENZEKRY, Sébastien; EBOS, John

doi:10.1051/itmconf/20150500007

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http://creativecommons.org/licenses/by-nc/

BENZEKRY, Sébastien
Institut de Mathématiques de Bordeaux [IMB]
Modélisation Mathématique pour l'Oncologie [MONC]

EBOS, John
Department of Cancer Genetics [Buffalo]
Department of Medicine [Buffalo]

Langue

Communication dans un congrès

Ce document a été publié dans

Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology, 2015-03-16, Paris.

Résumé en anglais

Metastasis represents one of the main clinical challenge in cancer treatment since it is associated with the majority of deaths. Recent technological advances allow quantification of the dynamics of the process by means of noninvasive techniques such as longitudinal tracking of bioluminescent cells. The metastatic process was simplified here into two essential components – dissemination and colonization – which were mathematically formalized in terms of simple quantitative laws. The resulting mathematical model was confronted to in vivo experimental data of spontaneous metastasis after primary tumor resection. We discuss how much information can be inferred from confrontation of theories to the data with emphasis on identifiability issues. It is shown that two mutually exclusive assumptions for the secondary growth law (namely same or different from the primary tumor growth law) could fit equally well the data. Similarly, the fractal dimension coefficient in the dissemination law could not be uniquely determined from data on total metastatic burden only. Together, these results delimitate the range of information that can be recovered from fitting data of metastatic growth to already simplified mathematical models.< Réduire

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194278

DOI

http://dx.doi.org/10.1051/itmconf/20150500007

Project ANR

Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251