On the growth and dissemination laws in a mathematical model of metastatic growth

Sébastien Benzekry 1, 2 John Ebos 3, 4
2 MONC - Modélisation Mathématique pour l'Oncologie
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest, Institut Bergonié - CRLCC Bordeaux
Abstract : 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.
Type de document :
Communication dans un congrès
Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology, Mar 2015, Paris, France. 〈10.1051/itmconf/20150500007〉
Liste complète des métadonnées

https://hal.inria.fr/hal-01222088
Contributeur : Sebastien Benzekry <>
Soumis le : vendredi 30 octobre 2015 - 10:14:06
Dernière modification le : jeudi 11 janvier 2018 - 06:27:21
Document(s) archivé(s) le : vendredi 28 avril 2017 - 06:18:25

Fichiers

benzekry_ebos.pdf
Fichiers produits par l'(les) auteur(s)

Licence


Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale 4.0 International License

Identifiants

Collections

Citation

Sébastien Benzekry, John Ebos. On the growth and dissemination laws in a mathematical model of metastatic growth. Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology, Mar 2015, Paris, France. 〈10.1051/itmconf/20150500007〉. 〈hal-01222088〉

Partager

Métriques

Consultations de la notice

291

Téléchargements de fichiers

96