  Intracellular transport processes are essential to the healthy development of
many organisms as well as more generally to healthy cellular function. The
complex dynamics and interactions between protein molecules and filaments on
different time and spatial scales generate many opportunities for mathematical
modeling and analysis that can provide insights into protein sorting and
overall cellular organization. Systems of advection-reaction-diffusion partial
differential equations and stochastic state-switching particle models are
especially useful in understanding spatiotemporal protein dynamics inside
cells.
