612 citations · 664 across the 9 of their papers we have counts for
11 papers
Optimizing First-Line Therapeutics in Non-Small Cell Lung Cancer: Insights from Joint Modeling and Large-Scale Data Analysis
Benjamin K. Schneider, Sebastien Benzekry, Jonathan P. Mochel
Non-small cell lung cancer (NSCLC) is often intrinsically resistant to several first- and second-line therapeutics and can rapidly acquire further resistance after a patient begins…
Comprehensive Joint Modeling of First-Line Therapeutics in Non-Small Cell Lung Cancer
Benjamin Schneider, Sébastien Benzekry, Jonathan Mochel
First-line antiproliferatives for non-small cell lung cancer (NSCLC) have a relatively high failure rate due to high intrinsic resistance rates and acquired resistance rates to the…
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…
On the growth and dissemination laws in a mathematical model of metastatic growth
Sébastien Benzekry, J. M. L. Ebos
Metastasis represents one of the main clinical challenge in cancer treatment since it is associated with the majority of deaths. Recent technological advances allow quantification…
Classical Mathematical Models for Description and Prediction of Experimental Tumor Growth
Sébastien Benzekry, Clare Lamont, Afshin Beheshti +4
Despite internal complexity, tumor growth kinetics follow relatively simple macroscopic laws that have been quantified by mathematical models. To resolve this further, quantitative…
Global Dormancy of Metastases Due to Systemic Inhibition of Angiogenesis
Sébastien Benzekry, Alberto Gandolfi, Philip Hahnfeldt
Autopsy studies of adults dying of non-cancer causes have shown that virtually all of us possess occult, cancerous lesions. This suggests that, for most individuals, cancer will be…
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…
Maximum Tolerated Dose Versus Metronomic Scheduling in the Treatment of Metastatic Cancers
Sebastien Benzekry, Philip Hahnfeldt
Although optimal control theory has been used for the theoretical study of anti-cancerous drugs scheduling optimization, with the aim of reducing the primary tumor volume, the effe…
Quantitative Analysis of the Tumor/Metastasis System and its Optimal Therapeutic Control
Sebastien Benzekry, Dominique Barbolosi, Assia Benabdallah +2
A mathematical model for time development of metastases and their distribution in size and carrying capacity is presented. The model is used to theoretically investigate anti-cance…
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…