Add to ORKG25 pagesInternational audienceSeveral mathematical models of tumor growth are now commonly used to explain medical observations and predict cancer evolution based on images. These models incorporate mechanical laws for tissue compression combined with rules for nutrients availability which can differ depending on the situation under consideration, in vivo or in vitro. Numerical solutions exhibit, as expected from medical observations, a proliferative rim and a necrotic core. However, their precise profiles are rather complex, both in one and two dimensions
International audienceMathematical models of tumor growth, written as partial differential equations...
We present a physiologically structured lattice model for vascular tumor growth which accounts for b...
A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear ...
25 pagesInternational audienceSeveral mathematical models of tumor growth are now commonly used to e...
We investigate the tumor boundary instability induced by nutrient consumption and supply based on a ...
Recent models for organism and tumor growth yield simple scaling laws based on conservation of energ...
International audienceThe recent biomechanical theory of cancer growth considers solid tumors as liq...
International audienceModels of tumor growth, now commonly used, present several levels of complexit...
Motivated by the incompressible limit of a cell density model, we propose a free boundary tumor grow...
AbstractIn this paper we study a model of necrotic tumor growth. The tumor comprises necrotic cells ...
International audienceWe formulate a Hele-Shaw type free boundary problem for a tumor growing under ...
A study of several complementary mathematical models that describe the early, prevascular stages of ...
The formation of a capsule of dense, fibrous extracellular matrix around a solid tumour is a key pro...
The early development of solid tumours has been extensively studied, both experimentally via the mul...
Experiments show that simple diffusion of nutrients and waste molecules is not sufficient to explain...
International audienceMathematical models of tumor growth, written as partial differential equations...
We present a physiologically structured lattice model for vascular tumor growth which accounts for b...
A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear ...
25 pagesInternational audienceSeveral mathematical models of tumor growth are now commonly used to e...
We investigate the tumor boundary instability induced by nutrient consumption and supply based on a ...
Recent models for organism and tumor growth yield simple scaling laws based on conservation of energ...
International audienceThe recent biomechanical theory of cancer growth considers solid tumors as liq...
International audienceModels of tumor growth, now commonly used, present several levels of complexit...
Motivated by the incompressible limit of a cell density model, we propose a free boundary tumor grow...
AbstractIn this paper we study a model of necrotic tumor growth. The tumor comprises necrotic cells ...
International audienceWe formulate a Hele-Shaw type free boundary problem for a tumor growing under ...
A study of several complementary mathematical models that describe the early, prevascular stages of ...
The formation of a capsule of dense, fibrous extracellular matrix around a solid tumour is a key pro...
The early development of solid tumours has been extensively studied, both experimentally via the mul...
Experiments show that simple diffusion of nutrients and waste molecules is not sufficient to explain...
International audienceMathematical models of tumor growth, written as partial differential equations...
We present a physiologically structured lattice model for vascular tumor growth which accounts for b...
A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear ...