title: A stochastic model for the normal tissue complication probability (NTCP) and applicationss.
abstract: The normal tissue complication probability (NTCP) is a measure for the estimated side effects of a given radiation treatment schedule. Here we use a stochastic logistic birth-death process to define an organ-specific and patient-specific NTCP. We emphasize an asymptotic simplification which relates the NTCP to the solution of a logistic differential equation. This framework is based on simple modelling assumptions and it prepares a framework for the use of the NTCP model in clinical practice. As example, we consider side effects of prostate cancer brachytherapy such as increase in urinal frequency, urinal retention and acute rectal dysfunction.
authors: Department of Mathematics, Stockholm University, SE - 106 91 Stockholm, Sweden.
authors: Theresa
authors: T
authors: Stocks
authors: Centre for Mathematical Biology, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G2G1, Canada.
authors: Thomas
authors: T
authors: Hillen
authors: The hospital for sick children research institute, SickKids, 555 University Avenue, Toronto, Ontario M5G1X8, Canada.
authors: Jiafen
authors: J
authors: Gong
authors: Institute for Computational and Applied Mathematics, Excellence Cluster Cells in Motion, University of Münster, Einsteinstrasse 62, D-48149 Münster.
authors: Martin
authors: M
authors: Burger
mesh_terms: D006801:Humans; D008962:Models, Theoretical; D009369:Neoplasms / Q000532:radiotherapy*; D011829:Radiation Dosage; D011878:Radiotherapy; D013269:Stochastic Processes
keywords: NTCP; TCP; brachytherapy; logistic birth death process; normal tissue complication probability; prostate cancer; radiation treatment; side effects; tumour control probability