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.