The remarkable efficiency of energy transfer during the photosynthetic process, along with surprising experimental result that indicated the existence of quantum coherence in photosynthetic complexes, has raised two exciting questions: (i) Can quantum coherence exist in physiological conditions? (ii) Does nature use this coherence to improve photosynthetic efficiency? Recently, we have developed a theoretical methodology based on the theory of transport in open quantum systems, that enables us to provide a quantitative answer to these questions. Appling this methodology to two complexes - the PC-645 and the FMO complexes - we find that the answer is yes and no; while the energy transfer process is indeed in the quantum regime, quantum coherence has an insignificant contribution to the efficiency