Add to ORKGInternational audienceWe introduce and analyze a phenomenological model for anti-angiogenic therapy in the treatment of metastatic cancers. It is a structured transport equation with a nonlocal boundary condition describing the evolution of the density of metastasis that we analyze first at the continuous level. We present the numerical analysis of a lagrangian scheme based on the characteristics whose convergence establishes existence of solutions. Then we prove an error estimate and use the model to perform interesting simulations in view of clinical applications
Nous pr\'{e}sentons un mod\'{e}le math\'{e}matique d\'{e}crivant le d\'{e}veloppement temporel d'une...
International audienceWe prove the convergence of a family of solutions to a two-dimensional transpo...
In this paper, we consider a gradient-driven mathematical model of antiangiogenesis in tumor growth....
We introduce a phenomenological model for anti-angiogenic therapy in the treatment of metastatic can...
International audienceWe introduce and analyze a phenomenological model for anti-angiogenic therapy ...
Nous introduisons un modèle mathématique d’évolution d’une maladie cancéreuse à l’échelle de l...
Angiogenesis is acknowledged as an essential mechanism for tumor spreading and metastasis of neoplas...
We present a mathematical model describing the time development of a population of tumors ...
In this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chem...
Abstract. We present a mathematical model describing the time development of a population of tu-mors...
The dual classification of cancer as localized or metastatic disease is one of the key point in the ...
In this paper, we conduct a thorough mathematical analysis of a tumor growth model with treatments. ...
In this paper we consider a generalized metastatic tumor growth model that describes the primary tum...
International audienceAngiogenesis is a key process in the tumoral growth which allows the cancerous...
Texto completo: acesso restrito. p. 773-803In this paper, we propose and analyse a mathematical mode...
Nous pr\'{e}sentons un mod\'{e}le math\'{e}matique d\'{e}crivant le d\'{e}veloppement temporel d'une...
International audienceWe prove the convergence of a family of solutions to a two-dimensional transpo...
In this paper, we consider a gradient-driven mathematical model of antiangiogenesis in tumor growth....
We introduce a phenomenological model for anti-angiogenic therapy in the treatment of metastatic can...
International audienceWe introduce and analyze a phenomenological model for anti-angiogenic therapy ...
Nous introduisons un modèle mathématique d’évolution d’une maladie cancéreuse à l’échelle de l...
Angiogenesis is acknowledged as an essential mechanism for tumor spreading and metastasis of neoplas...
We present a mathematical model describing the time development of a population of tumors ...
In this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chem...
Abstract. We present a mathematical model describing the time development of a population of tu-mors...
The dual classification of cancer as localized or metastatic disease is one of the key point in the ...
In this paper, we conduct a thorough mathematical analysis of a tumor growth model with treatments. ...
In this paper we consider a generalized metastatic tumor growth model that describes the primary tum...
International audienceAngiogenesis is a key process in the tumoral growth which allows the cancerous...
Texto completo: acesso restrito. p. 773-803In this paper, we propose and analyse a mathematical mode...
Nous pr\'{e}sentons un mod\'{e}le math\'{e}matique d\'{e}crivant le d\'{e}veloppement temporel d'une...
International audienceWe prove the convergence of a family of solutions to a two-dimensional transpo...
In this paper, we consider a gradient-driven mathematical model of antiangiogenesis in tumor growth....