Local descriptions are a cornerstone of theoretical chemistry, providing a window to structure/function relationships for the physical properties of molecules. As new types of physical measurements are applied to single molecules, it becomes necessary to develop new local descriptions. In this talk I will present our work using a description of local currents to map which components of a molecule participate in coherent electron transport through molecules bound between metallic electrodes. I will illustrate the characteristic features in the local transmission for a range of commonly studied molecules, the features associated with destructive quantum interference and the way in which local currents can be used to characterize the transport in complex molecular structures.