Radiotherapy cancer treatment modeling with fractional or ordinary derivative

This short communication presents two versions of the cancer treatment model, the ordinary derivative version and the fractional derivative version. The two models were used to simulate a cancer treatment process of a cancer patient with an initial tumor volume of 28.4 cm3 . The simulated final volumes produced by the fractional derivative version were 28.17 cm3 and 5.68 cm3 the normal cells and tumor respectively, while those of the ordinary derivative version were 16.97 cm3 and 0.0 cm3 . In addition, the fractional derivative version was used to simulate a no-treatment process with an initial tumor volume of 5 cm3 , and the final volumes were 4.91 cm3 and 17.41 cm3 for the normal cells and tumor respectively. It was concluded that the radiotherapy treatment process was better simulated with the fractional derivative model.