This looks like it probably is addressing
"quantal release" of neurotransmitter at synapses to me.
Many neurotransmitters are packaged in small vesicles in a pre-synaptic ending ready to be released when a Ca
++ enters the pre-synaptic ending, which is evoked by action potentials or other membrane potential changes.
The neurotransmitter diffuses across the synaptic cleft (between the pre-synaptic cell and the post-synaptic cell) where the neuurotransmitter interacts with membrane receptors. Many kinds of receptors than open channels for ions to enter the cell for a short period of time, causing a small short lived change in the post-synaptic cell's membrane potential. these events are often called miniature end plate potentials, but I could understand someone calling them quantal bumps.
The quantal part refers to it being the smallest amount of transmitter released and smallest membrane response to a synaptic activity. Has nothing to do with quantum physics however.