title: A comparison and catalog of intrinsic tumor growth models.
abstract: Determining the mathematical dynamics and associated parameter values that should be used to accurately reflect tumor growth continues to be of interest to mathematical modelers, experimentalists and practitioners. However, while there are several competing canonical tumor growth models that are often implemented, how to determine which of the models should be used for which tumor types remains an open question. In this work, we determine the best fit growth dynamics and associated parameter ranges for ten different tumor types by fitting growth functions to at least five sets of published experimental growth data per type of tumor. These time-series tumor growth data are used to determine which of the five most common tumor growth models (exponential, power law, logistic, Gompertz, or von Bertalanffy) provides the best fit for each type of tumor.
authors: Department of Mathematics, Harvey Mudd College, Claremont, CA , 91711, USA, esarapata@g.hmc.edu.
authors: E A
authors: EA
authors: Sarapata
authors: L G
authors: LG
authors: de Pillis
mesh_terms: D000465:Algorithms; D000818:Animals; D006801:Humans; D051379:Mice; D008954:Models, Biological; D015233:Models, Statistical; D009369:Neoplasms / Q000473:pathology*