I am recently
In case of cellular membranes, we are dealing with electron-proton pairs on the opposite sides of the membranes forming the pseudo-particles - bosons i.e. particles of integral spin. Being bosons, those pseudo-particles may form a coherent quantum state - Bose-Einstein (BE) condensate just like the Cooper pairs of electrons in a superconductor, except they are neutral thus they do not produce observable electromagnetic phenomena as a superconductor but they do produce non-local quantum propagation phenomena (neurons, brain) and non-local synchronous energy transfers (bio-catalysis, mitochondria).
In case of deuterium or hydrogen ions in palladium or nickel crystal lattices, we are dealing probably with similar phenomenon of free electrons in the metallic lattice pairing with hydrogen nucleus forming an analog of hydrogen pseudo-atoms of very large dimensions which then form a coherent collective state of B-E condensate like on a cellullar membrane.
A collective state behave like a single "particle" of energy and mass being the multiple of the initial particle state energy (150meV in case of cellullar mitochondria and neurons, about 1eV in case of hydrogen/deuterium ions in metallic crystal lattice), multiplied by the average number N of particle forming the B-E condensate state. if N=10 then the membrane potential can energise all sort of chemical reaction acting like a catalyst. If N=1e6 then the B-E condensate may trigger nuclear reactions!
Once we develop a more accurate understanding and the model, we will be able to optimise and control those processes. From the practical and technological development point of view, I think, quantum biophysics is now what semiconductor microelectronics was in the 1950-ties.
Se also this document: "Proton Pump CF Mechanism".
[to be continued]