In this expository discussion, we explore the use of 'mass transport,' the classical Monge mass transfer problem and the contemporary development of its kinetic or evolutionary counterpart, to describe intracellular transport mechanisms. At its core, this theory offers a gradient flow for entropy or free energy and thus represents some way of understanding randomness in a given system whose elements undergo conformational change and dissipation. We also describe how qualitative conclusions may be drawn from the equations we find.