Modeling and simulations of bio-nanomachines for spatiotemporal pattern formation

Understanding the process of how bio-nanomachines form spatiotemporal patterns is a key to developing practical applications of molecular communication such as biomolecular sensing, targeted drug delivery and tissue regeneration systems. In this paper, we develop a simple mobility model for bio-nanomachines and investigate how bio-nanomachines move and form a spatiotemporal pattern. Our model is based on the observation that chemotaxis plays an important role in how cells migrate and form spatiotemporal patterns in biological systems. In this paper, we also perform computer simulations using the mobility model and examine how the spatial distribution of bio-nanomachines evolves with time and how long it takes for the spatial distribution of bio-nanomachines to reach a steady-state.