612 citations · 661 across the 4 of their papers we have counts for
7 papers
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…
Estimating the Energetic State of Malignant Cells from RNA Transcription and Protein Interaction Network Data
Edward A. Rietman, Rainer Sachs, Philip Hahnfeldt +1
Gene expression data, or transcription data, are surrogates for actual protein concentrations in the cells. In addition protein-protein interactions are static diagrams of all the…
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…