Name
Title | ||
|---|---|---|
Mathematical modeling of radiotherapy cancer treatment using Caputo fractional derivative. |
Abstract | ||
|---|---|---|
•The presented model simulates a radiotherapy cancer treatment process taking into consideration the repair and repopulation of the cells.•The model was obtained by integrating the previous cancer treatment model with the Caputo fractional derivative.•Cells' population decay due to radiation was accounted for by coupling the linear-quadratic with the repopulation model into the improved model. The model was then used to simulate the cancer treatment process of six patients with the use of numerical variables, numerical parameters, and radiation parameters.•The results from the simulation showed the population changes and the final volumes of tumors and normal cells. In addition, a global sensitivity analysis was done to prioritize the model factors.•The biologically effective dose formula was used to simulate 96 protocols from which a regression equation for deriving the value of the Caputo fractional derivative was obtained. Finally, this paper is aimed at contributing to research activities in the field of cancer treatment with radiotherapy. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cmpb.2019.105306 | Computer Methods and Programs in Biomedicine |
Keywords | DocType | Volume |
Radiotherapy,Linear-quadratic,Caputo fractional derivative,Cancer treatment,Radiation | Journal | 188 |
ISSN | Citations | PageRank |
0169-2607 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Musiliu Folarin Farayola | 1 | 0 | 0.68 |
| Sharidan Shafie | 2 | 8 | 6.03 |
| Fuaada Mohd Siam | 3 | 0 | 0.68 |
| Ilyas Khan | 4 | 25 | 25.71 |