Artificial magnetic nano-swimmer in drug delivery

In this paper a nano-swimmer with length between 10 to 100nm consisting of a motor, filament and hinged boundaries is controlled by mathematical simulations successfully. A nanoswimmer that lies in a heterodimer magnetic nano-particle is proposed based on existed nano-robots. Dynamic of swimming is simulated by using some sequence of shape changes where magnetic forces act on one-ends of nano-swimmer. This idea is applied to simulate drug delivery from specific point of human body to the targeted point where it is assumed transport drug lies in a nano-particle. Here, the hyper-diffusion equation that is a fourth order partial differential equation is proposed to model swimming at nano-scale. The unknown control function (magnetic force) that acts on the boundary is calculated to minimize the drug delivery energy cost. Two novel algorithms for the computation of optimal boundary control and estimation of its error function are proposed. Shape function deformations for the elastic tail of the nano-swimmer for various finite times are depicted. Numerical results for the control function for the nano-scale drug deliver are presented.