ATSOU , Kevin

The recent success of immunotherapies for the treatment of cancer has highlighted the importance of the interactions between tumor and immune cells. Mathematical models of tumor growth are needed to faithfully reproduce and predict the spatiotemporal dynamics of tumor growth. We introduce a mathematical model intended to describe by means of a...

Switching from the healthy stage to the uncontrolled development of tumors relies on complicated mechanisms and the activation of antagonistic immune responses, that can ultimately favor the tumor growth. We introduce here a mathematical model intended to describe the interactions between the immune system and tumors. The model is based on...

The prediction of Overall Survival and Response to 2nd line treatment is a major challenge in treatment of Head and Neck Squamous Cell Carcinoma (HNSCC). Here we used tumor kinetics measured by the Sum of the Largest Diameters (SLD) of the lesions in the patients during the first line to provide interesting predictive metrics for Overall...

Extensive research and clinical trials have improved our understanding of tumor immunology but despite considerable clinical benefits, current immunotherapies only provide durable responses in a minority of patients. The challenge is to identify key biological parameters preventing immune escape and maintaining an equilibrium state...

When it comes to improving cancer therapies, one challenge is to identify key biological parameters that prevent immune escape and maintain an equilibrium state characterized by a stable subclinical tumor mass, controlled by the immune cells. Based on a space and size structured partial differential equation model, we developed numerical...

We study a model of cell segregation in a population composed of two cell types. Starting from a model initially proposed in [3], we aim to understand the impact of a cell division process on the system's segregation abilities. The original model describes a population of spherical cells interacting with their close neighbors by means of a...

In this paper we write, analyze and experimentally compare three different numerical schemes dedicated to the one dimensional barotropic Navier-Stokes equations: • a staggered scheme based on the Rusanov one for the inviscid (Euler) system, • a staggered pseudo-Lagrangian scheme in which the mesh "follows" the fluid, • the Eulerian projection...