Synchronization with Molecular Signals on Spatial-Temporal Complex Networks

Abstract

Molecular signals are fundamental to achieving synchronous functionality in both biological and bio-engineering systems. Synchronization on complex molecular signaling networks depend on both local diffusion-advection dynamics and the overall complex network topology. Here, we consider a spatial-temporal dynamic complex network with molecular signaling. Unlike current Kuramoto phase models that only consider scalar coupling between oscillator units, we introduce diffusion-advection lag that represents realistic molecular transportation processes. Our results across different networks and molecular dynamics show that the local connectivity status and dynamics dominate system-wide synchronization behaviour. We go on to create distributed control that can allow different networks to achieve similar overall synchronization profiles. We expect these findings to help the design of IoNT mesh networks and understanding of chrono-biological systems.