Add to ORKGThis paper deals with the analysis of the asymptotic limit towards the derivation of hyperbolic macroscopic equations for a class of equations modeling complex multicellular systems. Cellular interactions generate both modification of biological functions and proliferating destructive events related to growth of tumor cells in competition with the immune system. The asymptotic analysis refers to the hyperbolic limit to show how the macroscopic tissue behavior can be described by linear and nonlinear hyperbolic systems which seem the most natural in this context
International audienceTumor growth strictly depends on the interactions occurring at the cellular sc...
A competition-diffusion system, where populations of healthy and malignant cells compete and move on...
This paper is an extension of previous work on the dynamics of the competition of normal cells and c...
International audienceThis paper deals with the analysis of the asymptotic limit toward the derivati...
AbstractThis paper presents an asymptotic theory for a large class of Boltzmann-type equations suita...
This paper deals with the derivation of macroscopic tissue models from the underlying description de...
AbstractThis paper presents an asymptotic theory, based on the hyperbolic scaling, for a large class...
Communicated by P. K. Maini Summary. Morphogenetic processes such as neurulation and gastrulation in...
International audienceModels of tissue growth are now well established, in particular in relation to...
Abstract. We investigate the dynamics of a nonlinear model for tumor growth within a cellular medium...
This paper deals with a critical analysis and some developments related to the mathema- tical liter...
In this chapter we present a variety of reaction-diffusion-taxis(i.e. macroscopic) models of several...
This monograph presents new tools for modeling multiscale biological processes. Natural processes ar...
This paper deals with a critical analysis and some developments related to the mathema-tical literat...
We consider a system of two kinetic equations modelling a multicellular system : The first equation ...
International audienceTumor growth strictly depends on the interactions occurring at the cellular sc...
A competition-diffusion system, where populations of healthy and malignant cells compete and move on...
This paper is an extension of previous work on the dynamics of the competition of normal cells and c...
International audienceThis paper deals with the analysis of the asymptotic limit toward the derivati...
AbstractThis paper presents an asymptotic theory for a large class of Boltzmann-type equations suita...
This paper deals with the derivation of macroscopic tissue models from the underlying description de...
AbstractThis paper presents an asymptotic theory, based on the hyperbolic scaling, for a large class...
Communicated by P. K. Maini Summary. Morphogenetic processes such as neurulation and gastrulation in...
International audienceModels of tissue growth are now well established, in particular in relation to...
Abstract. We investigate the dynamics of a nonlinear model for tumor growth within a cellular medium...
This paper deals with a critical analysis and some developments related to the mathema- tical liter...
In this chapter we present a variety of reaction-diffusion-taxis(i.e. macroscopic) models of several...
This monograph presents new tools for modeling multiscale biological processes. Natural processes ar...
This paper deals with a critical analysis and some developments related to the mathema-tical literat...
We consider a system of two kinetic equations modelling a multicellular system : The first equation ...
International audienceTumor growth strictly depends on the interactions occurring at the cellular sc...
A competition-diffusion system, where populations of healthy and malignant cells compete and move on...
This paper is an extension of previous work on the dynamics of the competition of normal cells and c...