International audienceThe occurrence of metastasis is an important feature in cancer development. In order to have a one-site model taking into account the interactions between host, effector immune and tumor cells which is not only valid for the early stages of tumor growth, we developed in this paper a new model where are incorporated interactions of these three cell populations with endothelial cells. These latter cells are responsible for the neo-vascularization of the tumor site which allows the migration of tumor cells to distant sites. It is then shown that, for some parameter values, the resulting model for the four cell populations reproduces the angiogenic switch, that is, the transition from avascular to vascular tumor
Tumor-induced angiogenesis, which is the formation of new blood vessels from existing vasculature in...
Background: Microscopic human cancers can remain dor-mant for life. Tumor progression depends on seq...
A multiscale model for vascular tumour growth is presented which includes systems of ordinary differ...
International audienceThe occurrence of metastasis is an important feature in cancer development. In...
Understanding tumor induced angiogenesis is a challenging problem with important consequences for di...
Tumors consist of heterogeneous cell subpopulations that may develop differing phenotypes, such as i...
Le cancer est l'une des principales causes de décès dans le monde. L'angiogenèse tumorale est le pro...
Angiogenesis plays an established role in the growth promotion of dormant micrometastasis, because b...
Tumors consist of heterogeneous cell subpopulations that may develop differing phenotypes, such as i...
Angiogenesis, the formation of new blood vessels, is a crucial step in solid tumour development, as ...
In this paper we present several mathematical models of tumor growth and angiogenesis expressed by ...
Spontaneously arising tumor cells are not usually angiogenic at first. The phenotypic switch to ang...
Tumors consist of heterogeneous cell subpopulations that may develop differing phenotypes, such as i...
Cancer is one of the main causes of death worldwide. Angiogenesis is the formation of new blood vess...
International audienceOne of the main challenges in cancer modelling is to improve the knowledge of ...
Tumor-induced angiogenesis, which is the formation of new blood vessels from existing vasculature in...
Background: Microscopic human cancers can remain dor-mant for life. Tumor progression depends on seq...
A multiscale model for vascular tumour growth is presented which includes systems of ordinary differ...
International audienceThe occurrence of metastasis is an important feature in cancer development. In...
Understanding tumor induced angiogenesis is a challenging problem with important consequences for di...
Tumors consist of heterogeneous cell subpopulations that may develop differing phenotypes, such as i...
Le cancer est l'une des principales causes de décès dans le monde. L'angiogenèse tumorale est le pro...
Angiogenesis plays an established role in the growth promotion of dormant micrometastasis, because b...
Tumors consist of heterogeneous cell subpopulations that may develop differing phenotypes, such as i...
Angiogenesis, the formation of new blood vessels, is a crucial step in solid tumour development, as ...
In this paper we present several mathematical models of tumor growth and angiogenesis expressed by ...
Spontaneously arising tumor cells are not usually angiogenic at first. The phenotypic switch to ang...
Tumors consist of heterogeneous cell subpopulations that may develop differing phenotypes, such as i...
Cancer is one of the main causes of death worldwide. Angiogenesis is the formation of new blood vess...
International audienceOne of the main challenges in cancer modelling is to improve the knowledge of ...
Tumor-induced angiogenesis, which is the formation of new blood vessels from existing vasculature in...
Background: Microscopic human cancers can remain dor-mant for life. Tumor progression depends on seq...
A multiscale model for vascular tumour growth is presented which includes systems of ordinary differ...