Skip to Main content Skip to Navigation
Conference papers

Mathematical Modeling and Prediction of Clinical Metastasis

Sébastien Benzekry 1, 2
1 MONC - Modélisation Mathématique pour l'Oncologie
IMB - Institut de Mathématiques de Bordeaux, Institut Bergonié [Bordeaux], Inria Bordeaux - Sud-Ouest
Abstract : In the majority of cancers, secondary tumors (metastases) and associated complications are the main cause of death. To design the best therapy for a given patient, one of the major current challenge is to estimate, at diagnosis, the burden of invisible metastases and the future time of emergence of these, as well as their growth speed. In this talk, I will present the current state of our research efforts towards the establishment of a predictive computational tool for this aim. I will first shortly present the model used, which is based on a physiologically-structured partial differential equation for the time dynamics of the population of metastases, combined to a nonlinear mixed-effects model for statistical representation of the parameters’ distribution in the population. Then, I will show results about the descriptive power of the model on data from clinically relevant ortho-surgical animal models of metastasis (breast and kidney tumors). The main part of my talk will further be devoted to the translation of this modeling approach toward the clinical reality. Using clinical imaging data of brain metastasis from non-small cell lung cancer, several biological processes will be investigated to establish a minimal and biologically realistic model able to describe the data. Integration of this model into a biostatistical approach for individualized prediction of the model’s parameters from data only available at diagnosis will also be discussed. Together, these results represent a step forward towards the integration of mathematical modeling as a predictive tool for personalized medicine in oncology
Complete list of metadata

Cited literature [3 references]  Display  Hide  Download
Contributor : Sebastien Benzekry <>
Submitted on : Thursday, January 3, 2019 - 10:11:53 PM
Last modification on : Thursday, June 11, 2020 - 3:20:41 AM
Long-term archiving on: : Thursday, April 4, 2019 - 3:57:12 PM


Files produced by the author(s)


  • HAL Id : hal-01969108, version 1



Sébastien Benzekry. Mathematical Modeling and Prediction of Clinical Metastasis. Mathematical Challenges in the Analysis of Continuum Models for Cancer Growth, Evolution and Therapy, Nov 2018, Oaxaca, Mexico. ⟨hal-01969108⟩



Record views


Files downloads