Mathematical Model of Time-Fractional Diffusion Equation in Drug-Eluting Stent

A mathematical model has been developed to describe the controlled drug distribution from drug-eluting stents into the arteries. This model includes the polymer layer, adventitial layer and diffusion front. A mathematical model for the fractional diffusion equation is developed using the Homotopy Perturbation Method. Results show that this method produces a drug concentration profile and a fractional release rate in the polymer matrix (first layer). The current study provides a systematic method for improving medication flow by increasing the parameters \(\eta \) and \(\alpha \) (fractional derivative).