Coulomb interaction rules timescales in potassium ion channel tunneling

March, N De; Prado, Sandra Denise; Brunnet, Leonardo G.

doi:10.1088/1361-648x/aac40b

Cited by 4 publications

(15 citation statements)

References 29 publications

(51 reference statements)

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“…Assuming a quantum perspective, we will extend our previous two-particle model, wherein we focused on the Coulomb repulsion between ions in their conduction through the SF. We showed that Coulomb strength dominates the process timescale [25]. This assumption agrees with the recent findings that there is no water involved in the potassium ion permeation.…”

Section: Introductionsupporting

confidence: 91%

“…Then time is τ = t c ef f , the rates are Γs = Γ s /c ef f and Γd = Γ d /c ef f . The energy scale is c and U = U/ c is in the range [10 3 − 10 5 ] [25]. We verified that as in the twoparticle system [25], the rates Γs = Γd = 1 also minimizes the Coulomb repulsion for a system with multiple particles.…”

Section: Numerical Resultssupporting

confidence: 59%

“…σ † j (σ j ) is the creation (annihilation) operator at site j. U is the Coulomb strength and n j is the number operator σ † j σ j . Given that c U ≈ 5.14 eV, we can define an effective hopping, c ef f ≈ c 2 /U , obtained from first-order perturbation theory [25]. Once the system time scale is proportional to c ef f , the higher the Coulomb repulsion, the slower the dynamics.…”

Section: Model For Sf Structure and Transportmentioning

confidence: 99%

“…So, cytoplasm potassium ions enter the SF through site-0 and leave at site-6. Lindblad operators are appropriate tools for this kind of model [25,28]: ‡ Note that the terms tunnelling and hopping are used as synonymous in this paper. The potential axial separation of the minima and the barrier height fluctuate based on the presence of an ion at a particular site.…”

Section: Model For Sf Structure and Transportmentioning

confidence: 99%

See 3 more Smart Citations

Transport threshold in a quantum model for the KscA ion channel

De March,

Prado,

Brunnet

2021

Preprint

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The mechanism behind the high throughput rate in K + channels is still an open problem. Recent simulations have shown that the passage of potassium through the K + channel core, the so-called selectivity filter (SF), is water-free against models where the strength of Coulomb repulsion freezes ions conduction. It has been suggested that quantum coherent hopping might be relevant in mediating ion conduction. Within the quantum approach and the hypothesis of desolvated ions along the pathway, we start with a number of particles in a source to see how they go across the SF modeled by a linear chain of sites to be collected in a drain. As a main result we show that there is a threshold SF occupancy is three ions on average, which is in agreement with recent classical model simulations.

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Section: Introductionsupporting

confidence: 91%

Section: Numerical Resultssupporting

confidence: 59%

Section: Model For Sf Structure and Transportmentioning

confidence: 99%

Section: Model For Sf Structure and Transportmentioning

confidence: 99%

See 2 more Smart Citations

Transport threshold in a quantum model for the KscA ion channel

De March,

Prado,

Brunnet

2021

Preprint

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“…An important aspect of this which has gained more attention in recent years is the quantum behavior of ions in the channels of the biological membrane. This aspect aims to reveal the mechanism of the channels' selectivity filter [14][15][16][17] and to investigate the role of the voltage-gated channels when they are closed by applying the quantum tunneling phenomenon on ions [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

The Myelin Sheath Maintains the Spatiotemporal Fidelity of Action Potentials by Eliminating the Effect of Quantum Tunneling of Potassium Ions through the Closed Channels of the Neuronal Membrane

Qaswal

2019

Quantum Reports

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The myelin sheath facilitates action potential conduction along the axons, however, the mechanism by which myelin maintains the spatiotemporal fidelity and limits the hyperexcitability among myelinated neurons requires further investigation. Therefore, in this study, the model of quantum tunneling of potassium ions through the closed channels is used to explore this function of myelin. According to the present calculations, when an unmyelinated neuron fires, there is a probability of 9.15 × 10 − 4 that it will induce an action potential in other unmyelinated neurons, and this probability varies according to the type of channels involved, the channels density in the axonal membrane, and the surface area available for tunneling. The myelin sheath forms a thick barrier that covers the potassium channels and prevents ions from tunneling through them to induce action potential. Hence, it confines the action potentials spatiotemporally and limits the hyperexcitability. On the other hand, lack of myelin, as in unmyelinated neurons or demyelinating diseases, exposes potassium channels to tunneling by potassium ions and induces the action potential. This approach gives different perspectives to look at the interaction between neurons and explains how quantum physics might play a role in the actions occurring in the nervous system.

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Transport threshold in a quantum model for the KscA ion channel

March¹,

Prado²,

Brunnet³

2021

J. Phys.: Condens. Matter

Self Cite

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The mechanism behind the high throughput rate in K+ channels is still an open problem. However, recent simulations have shown that the passage of potassium through the K+ channel core, the so-called selectivity filter (SF), is water-free against models where the strength of Coulomb repulsion freezes ions conduction. Thus, it has been suggested that coherent quantum hopping might be relevant in mediating ion conduction. Within the quantum approach and the hypothesis of desolvated ions along the pathway, we start with several particles in a source to see how they go across a SF, modeled by a linear chain of sites, to be collected in a drain. We show that the average SF occupancy is three ions, and the ion transfer rate is ∼108 ions s−1, results which agree with the recent findings in the literature.

show abstract

Coulomb interaction rules timescales in potassium ion channel tunneling

Cited by 4 publications

References 29 publications

Transport threshold in a quantum model for the KscA ion channel

Transport threshold in a quantum model for the KscA ion channel

The Myelin Sheath Maintains the Spatiotemporal Fidelity of Action Potentials by Eliminating the Effect of Quantum Tunneling of Potassium Ions through the Closed Channels of the Neuronal Membrane

Transport threshold in a quantum model for the KscA ion channel

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