Solitary solutions to an androgen-deprivation prostate cancer treatment model

A model of androgen deprivation treatment for prostate cancer is considered in this paper. Bright/dark solitary solutions to the model are constructed using inverse balancing and generalized differential operator techniques. It is shown that solitary solutions correspond to biomedically relevant sets of model parameters. Dynamical properties of solitary solutions are analyzed in the phase plane. It is demonstrated that such solutions closely reflect the real-world phenomena observed during androgen deprivation treatment. Computational experiments are used to illustrate these effects.