Electrical and chemical synapses differ in their mechanisms of signal transmission between neurons. Electrical synapses allow rapid direct transmission of electrical signals through gap junction protein channels, while chemical synapses are slower but transmit signals unidirectionally via the release of neurotransmitter vesicles into the synaptic cleft. Calcium ions play a critical role in the release of neurotransmitters at chemical synapses through their interaction with proteins like synaptotagmin and the SNARE complex that facilitate vesicle fusion with the presynaptic membrane.