612 citations · 664 across the 9 of their papers we have counts for
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Asymptotic analysis of a biphase tumor fluid flow. The weak coupling case
Cristina Vaghi, Sébastien Benzekry, Clair Poignard
The aim of this paper is to investigate the asymptotic behavior of a biphase tumor fluid flow derived by 2-scale homogenisation techniques in recent works. This biphase fluid flow…
A mathematical model of systemic inhibition of angiogenesis in metastatic development
Sebastien Benzekry, Alberto Gandolfi, Philip Hahnfeldt
We present a mathematical model describing the time development of a population of tumors subject to mutual angiogenic inhibitory signaling. Based on biophysical derivations, it de…
Mathematical and numerical analysis of a model for anti-angiogenic therapy in metastatic cancers
Sebastien Benzekry
We 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…
Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis
Sebastien Benzekry
Angiogenesis is a key process in the tumoral growth which allows the cancerous tissue to impact on its vasculature in order to improve the nutrient's supply and the metastatic proc…