Molecular communication model of nanoparticle-body interactions in Particulate Drug Delivery Systems

Existing work in pharmacokinetics, the study of the movement of drugs in the body, has largely focused on multicompartmental models, based on ordinary first-order equations with constant flow. Nano-scale Particulate Drug Delivery Systems (PDDS) require better computational models. PDDS has been previously abstracted by the same authors as Molecular Communication (MC) systems, by solving the advection-diffusion problem with time-varying flow. In this paper, this framework is extended to solve the nanoparticle-body interactions problem. The delay and path loss of the system are expressed analytically. The results are validated by finite-element simulations. This model will enable more thorough pharmacokinetics than multicompartmental models.