We study a two-species model of tissue growth describing dynamics under mechanical pressure and cell growth. The pressure is incorporated into the common fluid velocity through an elliptic equation, called Brinkmanâ s law, which accounts for viscosity effects in the individual species. Our aim is to establish the incompressible limit as the stiffness of the pressure law tends to infinity - thus demonstrating a rigorous bridge between the population dynamics of growing tissue at a density level and a geometric model thereof. Joint work with B. Perthame (Sorbonne), M. Schmidtchen (TU Dresden) and N. Vauchelet (Paris 13). Non UBCUnreviewedAuthor affiliation: University of WarsawGraduat
The Keller-Segel model is a well-known system representing chemotaxis in living organisms. We study ...
At the cellular level, plant growth results from the competition between the so-called turgor pressu...
In this work, we study a model consisting of a Cahn-Hilliard-type equation for the concentration of ...
We study a two-species model of tissue growth describing dynamics under mechanical pressure and cell...
International audienceWe study the incompressible limit for a two-species model with applications to...
International audienceThis paper investigates the incompressible limit of a system modelling the gro...
International audienceA mathematical model for tissue growth is considered. This model describes the...
International audienceWe introduce two 2D mechanical models reproducing the evolution of two viscous...
Both compressible and incompressible porous medium models are used in the literature to describe the...
International audienceModels of tissue growth are now well established, in particular in relation to...
This paper proposes a model for the growth of two interacting populations of cells that do not mix. ...
Both compressible and incompressible porous medium models have been used in the literature to descri...
We consider a cross-diffusion model of tumor growth structured by phenotypic trait. We prove the exi...
16 pagesInternational audienceVarious models of tumor growth are available in the litterature. A fir...
The Keller-Segel model is a well-known system representing chemotaxis in living organisms. We study ...
The Keller-Segel model is a well-known system representing chemotaxis in living organisms. We study ...
At the cellular level, plant growth results from the competition between the so-called turgor pressu...
In this work, we study a model consisting of a Cahn-Hilliard-type equation for the concentration of ...
We study a two-species model of tissue growth describing dynamics under mechanical pressure and cell...
International audienceWe study the incompressible limit for a two-species model with applications to...
International audienceThis paper investigates the incompressible limit of a system modelling the gro...
International audienceA mathematical model for tissue growth is considered. This model describes the...
International audienceWe introduce two 2D mechanical models reproducing the evolution of two viscous...
Both compressible and incompressible porous medium models are used in the literature to describe the...
International audienceModels of tissue growth are now well established, in particular in relation to...
This paper proposes a model for the growth of two interacting populations of cells that do not mix. ...
Both compressible and incompressible porous medium models have been used in the literature to descri...
We consider a cross-diffusion model of tumor growth structured by phenotypic trait. We prove the exi...
16 pagesInternational audienceVarious models of tumor growth are available in the litterature. A fir...
The Keller-Segel model is a well-known system representing chemotaxis in living organisms. We study ...
The Keller-Segel model is a well-known system representing chemotaxis in living organisms. We study ...
At the cellular level, plant growth results from the competition between the so-called turgor pressu...
In this work, we study a model consisting of a Cahn-Hilliard-type equation for the concentration of ...