Diffusion Mediated Transport with a Look at Motor Proteins

In this note we discuss transport properties of weakly coupled parabolic systems of evolution equations. These arise in the study of molecular motors, like conventional kinesin, which are responsible for eukaryotic intracellular transport. It falls under the rubric of what we call diffusion mediated transport. Diffusion mediated transport generally concerns directed transport or oriented fluctuations of a system with a high degree of randomness and requires special collaboration among its various elements to achieve. We discuss how this plays out in multiple state systems.