Markov Model for the Flow of Nanobots in the Human Circulatory System

Recent advances in nanotechnology show possible applications of nano-devices within the human body. For example, technical solutions are under development to make use of nanobots to carry and release drugs via the circulatory system. In this scenario, it is important to study the location and the location distribution of nanobots in the human circulatory system (HCS). However, due to bifurcations and the variety of structures in the human vessels, this problem is rather challenging. In this paper, we address a new methodology based on a Markov chain model to study the distribution of nanobots in the HCS. The transition probabilities are assessed through analogies of their representation with an electric circuit representation of the HCS. Additionally, we conducted simulations in the simulation framework BloodVoyagerS to compare results with the provided Markov model. Our evaluation shows that the new model accounts well for the location of the nano-devices as well as their trajectories.