Mathematics and the gap junctions: in-phase synchronization of identical neurons

A close consideration of some mathematical results with regards to neuronal synchronization mechanisms are examined. It is well known that intercellular coupling via gap junctions normally occurs between identical neurons, such as the coupling between inhibitory interneurons belonging to the same class. It is unknown why this should happen. The theory of coupled oscillators offers some explanations to answer the questions of the functional role of electrical interactions mediated by gap junctions and the necessity to couple identical neurons. The inference presented here from the mathematical results is that only if the cells are identical will their firing synchronize in-phase. Thus, we propose the concept that the functional role of gap junctional electrical coupling is to synchronize neurons in-phase and therefore this type of coupling will be found between neurons belonging to the same class.