title: Tumor growth modeling based on cell and tumor lifespans.
abstract: This paper deals with the lifespan modeling of heterogenous tumors treated by radiotherapy. A bi-scale model describing the cell and tumor lifespans by random variables is proposed. First- and second-order moments as well as the cumulative distribution functions and confidence intervals are expressed for the two lifespans with respect to the model parameters. One interesting result is that the mean value of the tumor lifespan can be approached by a logarithmic function of the initial cancer cell number. Moreover, we show that TCP and NTCP, used in radiotherapy to evaluate, optimize and compare treatment plans, can be derived from the tumor lifespan and the surrounding healthy tissue, respectively. Finally, we propose a ROC curve, entitled ECT (Efficiency-Complication Trade-off), suited to the selection by clinicians of the appropriate treatment planning.
authors: Université Joseph Fourier, Laboratoire Jean Kuntzmann, Equipe Projet INRIA MOISE, BP 53, 38041 Grenoble Cedex 9, France.
authors: R
authors: R
authors: Keinj
authors: Université de Lorraine, CRAN, UMR 7039, Campus Sciences, BP 70239, 54506 Vandoeuvre-lès-Nancy Cedex, France; CNRS, CRAN, UMR 7039, France; INRIA, BIGS, France. Electronic address: thierry.bastogne@cran.uhp-nancy.fr.
authors: T
authors: T
authors: Bastogne
authors: Université de Lorraine, IECN, UMR 7502, Campus Sciences, BP 70239, 54506 Vandoeuvre-lès-Nancy Cedex, France; CNRS, IECN, UMR 7502, France; INRIA, BIGS, France.
authors: P
authors: P
authors: Vallois
mesh_terms: D000818:Animals; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000378:metabolism* / Q000532:radiotherapy*