Lung Cancer Radiotherapy: Simulation and Analysis Based on a Multicomponent Mathematical Model

Abstract

Background. Lung cancer has been one of the most deadly illnesses all over the world, and radiotherapy can be an effective approach for treating lung cancer. Now, mathematical model has been extended to many biomedical fields to give a hand for analysis, evaluation, prediction, and optimization. Methods. In this paper, we propose a multicomponent mathematical model for simulating the lung cancer growth as well as radiotherapy treatment for lung cancer. The model is digitalized and coded for computer simulation, and the model parameters are fitted with many research and clinical data to provide accordant results along with the growth of lung cancer cells in vitro. Results. Some typical radiotherapy plans such as stereotactic body radiotherapy, conventional fractional radiotherapy, and accelerated hypofractionated radiotherapy are simulated, analyzed, and discussed. The results show that our mathematical model can perform the basic work for analysis and evaluation of the radiotherapy plan. Conclusion. It will be expected that in the near future, mathematical model will be a valuable tool for optimization in personalized medical treatment.

Mathematical Model Combined with Microdosimetric Kinetic Model for Tumor Volume Calculation in Stereotactic Body Radiation Therapy

“…We used the ODE with a multi-component mathematical model (MCM) that models growth by distinguishing the state and growth rate of tumor cells (active tumors and quiescent tumors, etc.) in this study [24]. The MCM distinguishes the tumor cells into active tumors, resting cells that can stop dividing and turn into active cells, and non-dividing cells, which are dead cells waiting to be excreted into the bloodstream.…”

“…Evaluations of tumor growth using an ODE-based mathematical model in radiation therapy of tumors with single irradiation have been also been reported [22]. With the use of a mathematical model based on an ODE, it becomes possible to evaluate the tumor volume as an output, determine the effect of radiation therapy on the tumor, and derive the optimal irradiation schedule, irradiation dose, and the tumor effect when radiation therapy is combined with drugs [23][24][25].…”

“…An MKM can accurately calculate cell viability even in the high-dose range by taking into account the radiation quality, the dose rate, and the cell DNA repair time [36][37][38][39][40]. The calculation of a cell SF in irradiation using mathematical models based on ODEs has been evaluated using the LQM [23][24][25]. An evaluation of the LQM might overestimate the impact of the SF when a single large dose of ≥10 Gy is applied, as is done in SBRT.…”

Optimal control for a bone metastasis with radiotherapy model using a linear objective functional

“…In regards to the treatment duration per session, , some works based on mathematical modeling of cancer radiotherapy use instantaneous or a short radiation duration of the order of minutes (Ergun, 2003;Bachman and Hillen, 2013;Hong et al, 2021). Other authors assume duration of radiotherapy sessions of the order of hours or days (Ghaari et al, 2016;Rocha et al, 2018).…”

Chemoimmunotherapy Administration Protocol Design for the Treatment of Leukemia through Mathematical Modeling and In Silico Experimentation

“…[ 25 , 26 , 27 , 28 , 29 ] for leukemias, ref. [ 30 ] for lung cancer, refs. [ 31 , 32 , 33 ] for glioma, and many more to explore the overall dynamics between cancer cells and immune-effector cells [ 34 , 35 , 36 , 37 , 38 , 39 ].…”