Volume 17 No 3 (2019)
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A Theoretical Study to Explain the Referred Pain Phenomenon and Its Characteristics via Quantum Tunneling of Potassium Ions Through the Channels of Neuronal Membrane
Abdullah Barjas Qaswal
Abstract
When action potentials occur in neurons, sodium ions diffuse to inside neuronal membrane during depolarization
whereas potassium ions diffuse to the outside during repolarization, in which an increase in extracellular potassium
concentration occurs each and every single time a neuron fires. This escalation in potassium concentration will
surround neighboring neurons. Hence, I calculated that minute increase in potassium concentration. These potassium
ions will hit the closed channels in the membrane of neighboring unstimulated neurons, however, they will not be
able to pass since their kinetic energy is less than the energy needed to open the closed channels. Given these points, I
calculated the probability of potassium ions to tunnel through closed channels. Moreover, I calculated the membrane
conductance made by the potassium tunneling and the threshold of potassium conductance needed to stimulate
neighboring neurons, only to find that the actual conductance was less than the theorized threshold. For that reason, I
calculated the potassium ions’ probability to reach the proposed threshold, while also using Bernoulli trials equation
to calculate the probability of action potential induction. Accordingly, I used the potassium tunneling model to explain
the referred pain phenomenon and its characteristics, moreover, filling the gaps in referred pain theories which could
not explain all of its characteristics
Keywords
quantum tunneling, referred pain, unmyelinated C-fiber, visceral pain, potassium channel
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