Open AccessSimulation analysis for tumor radiotherapy based on three‐component mathematical models
Author(s) -
Hong Wensong,
Zhang Gangqing
Publication year - 2019
Publication title -
journal of applied clinical medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.83
H-Index - 48
ISSN - 1526-9914
DOI - 10.1002/acm2.12516
Subject(s) - radiation therapy , gompertz function , component (thermodynamics) , mathematics , computer science , series (stratigraphy) , value (mathematics) , medicine , physics , radiology , paleontology , machine learning , biology , thermodynamics
Objective To setup a three‐component tumor growth mathematical model and discuss its basic application in tumor fractional radiotherapy with computer simulation. Method First, our three‐component tumor growth model extended from the classical Gompertz tumor model was formulated and applied to a fractional radiotherapy with a series of proper parameters. With the computer simulation of our model, the impact of some parameters such as fractional dose, amount of quiescent tumor cells, and α / β value to the effect of radiotherapy was also analyzed, respectively. Results With several optimal technologies, the model could run stably and output a series of convergent results. The simulation results showed that the fractional radiotherapy dose could impact the effect of radiotherapy significantly, while the amount of quiescent tumor cells and α / β value did that to a certain extent. Conclusions Supported with some proper parameters, our model can simulate and analyze the tumor radiotherapy program as well as give some theoretical instruction to radiotherapy personalized optimization.