Quantum mechanics of synapses

Anton Wernig

Huber Nieto–Chaupis

If neural synapse is a probabilistic event, then one would expect that this is the result of a chain of subprocesses that takes place in axon. Thus, one can adjudicate probabilistic quantities to each one of event previous to the releasing of neurotransmitters from synaptic vesicles. Indeed, one can argue that electrical interactions are responsible of neurotransmitters dynamics before them pass to cleft. Because this, the present paper has employed the formalism of quantum probabilities. Thus, quantum mechanics would apply to describe the entire process of synapse. Finally, it was associated a set of conditional probabilities that would led to state that neural synapse is a kind of conjunction of quantum events and conditional probabilities. Finally, probabilities are estimated exhibiting a logic agreement to common knowledge of synapse.

Mohammad Ashrafuzzaman, Jack A. Tuszyński

Huber Nieto–Chaupis

The process of synaptic transmission is projected onto the territory of quantum mechanics. Thus, the electric interactions are seen as probabilistic events more than a deterministic one. In this manner, the neurotransmitter would obey quantum laws and their dynamics is governed by the evolution operator. Thus, synapse seen as an action of propagation would encompasses well to that the spatial propagator or Green function that might model the dyanamics of neurotransmitters along the cleft. This turns out to be instantaneous in coherence to the concept of neural transmission. Indeed under the quantum mechnics scenario it is found that the eigenvalues of energies of Hamiltonian consist in electric potentials between electrically charged neurotransmitters and receptors at the ion channels.

L. F. Pau

As a step in the architectural design of a quantum processing or sensing system with control and signaling, an attempt is made at putting in parallel functional properties of the random flows between neurons through electrical synapses, and quantum particle flows inside a quantum processing system mimicking biological processes. Based on a simplified dynamic electrical synapse model, a quantum synapse circuit design is proposed. This is extended to the case of bidirectional flows through a synapse, highlighting the possible role of quantum synapse circuits as highly parallel controlled interfaces crucial in sensing and sensor fusion systems. A short status of the quantum simulation is provided.

James P. Isaacs, John C. Lamb