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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 | Qaswal | NeuroQuantology


DOI: 10.14704/nq.2019.17.3.1994

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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References


Arendt-Nielsen L and Svensson P. Referred muscle pain: basic and clinical finndings. The Clinical journal of pain 2001; 17(1): 11 19.

Arome D, Sunday AI, Onalike EI, Amarachi A. Pain and inflammation: Management by conventional and herbal therapy. Indian Journal of Pain 2014; 28(1): 5.

Caldwell J. Action potential initiation and conduction in axons, 2009.

National Research Council. International animal research regulations: impact on neuroscience research: workshop summary. National Academies Press, 2012.

Dubin A, Pilitsis J, Argoff CE, McCleane G. Pain Management Secrets E-Book. Elsevier Health Sciences, 2009.

Evans PR. Referred itch (mitemp ndungen), Br Med J 1976; 2(6040): 839-841.

Fowler PW and Sansom MS. The pore of voltage-gated potassium ion channels is strained when closed. Nature communications 2013; 4: 1872.

Green BG. Referred thermal sensations: warmth versus cold. Sensory processes, 1978.

Hall JE. Pocket Companion to Guyton & Hall Textbook of Medical Physiology E-Book. Elsevier Health Sciences, 2015.

Moran LA, Horton RA, Scrimgeour KG, Perry MD. Principles of biochemistry, 2014.

Islas LD. Functional diversity of potassium channel voltage-sensing domains. Channels 2016; 10(3): 202-213.

Labro AJ and Snyders DJ. Being flexible: the voltage-controllable activation gate of Kv channels. Frontiers in Pharmacology 2012; 3: 168.

Lodish H, Darnell JE, Berk A, Kaiser CA, Krieger M, Scott MP, Bretscher A, Ploegh H, Matsudaira P. Molecular cell biology. Macmillan, 2008.

Moldenhauer H, Díaz-Franulic I, González-Nilo F, Naranjo D. Effective pore size and radius of capture for K+ ions in K-channels. Scientific reports 2016; 6: 19893.

Purves D, Augustine GJ, Fitzpatrick D, Hall WC. LC Katz C, AS LaMantia, JO McNamara, SM Williams, Neuroscience, 2004.

Serway RA, Cadwell LH, Van Wyk S. Test Bank to Accompany Physics for Scientists and Engineers, and Physics for Scientists and Engineers with Modern Physics. Saunders College Publishing, 1990.

Waser R, editor. Nanoelectronics and information technology: advanced electronic materials and novel devices. John Wiley & Sons, 2012.


Supporting Agencies

This work did not receive any funding or support.

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