scholarly journals Mathematical Modeling of Ion Quantum Tunneling Reveals Novel Properties of Voltage-Gated Channels and Quantum Aspects of Their Pathophysiology in Excitability-Related Disorders

2021 ◽  
Vol 28 (1) ◽  
pp. 116-154
Author(s):  
Abdallah Barjas Qaswal ◽  
Omar Ababneh ◽  
Lubna Khreesha ◽  
Abdallah Al-Ani ◽  
Ahmad Suleihat ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Membrane Potential ◽  
Quantum Tunneling ◽  
Experimental Studies ◽  
Classical Mechanics ◽  
Membrane Conductance ◽  
Resting Membrane Potential ◽  
Voltage Gated ◽  
Voltage Gated Channels ◽  
Quantum Aspects

Voltage-gated channels are crucial in action potential initiation and propagation and there are many diseases and disorders related to them. Additionally, the classical mechanics are the main mechanics used to describe the function of the voltage-gated channels and their related abnormalities. However, the quantum mechanics should be considered to unravel new aspects in the voltage-gated channels and resolve the problems and challenges that classical mechanics cannot solve. In the present study, the aim is to mathematically show that quantum mechanics can exhibit a powerful tendency to unveil novel electrical features in voltage-gated channels and be used as a promising tool to solve the problems and challenges in the pathophysiology of excitability-related diseases. The model of quantum tunneling of ions through the intracellular hydrophobic gate is used to evaluate the influence of membrane potential and gating free energy on the tunneling probability, single channel conductance, and quantum membrane conductance. This evaluation is mainly based on graphing the mathematical relationships between these variables. The obtained mathematical graphs showed that ions can achieve significant quantum membrane conductance, which can affect the resting membrane potential and the excitability of cells. In the present work, quantum mechanics reveals original electrical properties associated with voltage-gated channels and introduces new insights and implications into the pathophysiology of excitability- related disorders. In addition, the present work sets a mathematical and theoretical framework that can be utilized to conduct experimental studies in order to explore the quantum aspects of voltage-gated channels and the quantum bioelectrical property of biological membranes.

scholarly journals Quantum Tunneling of Ions through the Closed Voltage-Gated Channels of the Biological Membrane: A Mathematical Model and Implications

2019 ◽  
Vol 1 (2) ◽  
pp. 219-225 ◽  
Author(s):  
Abdallah Barjas Qaswal
Keyword(s):  
Mathematical Model ◽  
Quantum Tunneling ◽  
Essential Role ◽  
Biological Membrane ◽  
Resting Membrane Potential ◽  
Quantum Mechanical ◽  
Voltage Gated ◽  
Mechanical Approach ◽  
Voltage Gated Channels ◽  
Quantum Mechanical Approach

Voltage-gated channels play an essential role in action potential propagation when their closed gates open, but their role when they are closed needs to be investigated. So, in this study, a quantum mechanical approach using the idea of quantum tunneling was used to calculate the conductance of closed channels for different ions. It was found that the conductance due to quantum tunneling of ions through the closed channels does not affect the resting membrane potential. However, under different circumstances, including change in the mass or the charge of the ion and the residues of the hydrophobic gate, the model of quantum tunneling would be useful to understand and explain several actions, processes, and phenomena in the biological systems.

Hormonal Signaling Actions on Kv7.1 (KCNQ1) Channels

2021 ◽  
Vol 61 (1) ◽  
pp. 381-400
Author(s):  
Emely Thompson ◽  
Jodene Eldstrom ◽  
David Fedida
Keyword(s):  
Membrane Potential ◽  
Action Potential ◽  
Cardiac Action Potential ◽  
Resting Membrane Potential ◽  
Voltage Gated ◽  
M Current ◽  
Kv7 Channels ◽  
Cardiac Action ◽  
Repolarization Phase ◽  
And Control

Kv7 channels (Kv7.1–7.5) are voltage-gated K+ channels that can be modulated by five β-subunits (KCNE1–5). Kv7.1-KCNE1 channels produce the slow-delayed rectifying K+ current, IKs, which is important during the repolarization phase of the cardiac action potential. Kv7.2–7.5 are predominantly neuronally expressed and constitute the muscarinic M-current and control the resting membrane potential in neurons. Kv7.1 produces drastically different currents as a result of modulation by KCNE subunits. This flexibility allows the Kv7.1 channel to have many roles depending on location and assembly partners. The pharmacological sensitivity of Kv7.1 channels differs from that of Kv7.2–7.5 and is largely dependent upon the number of β-subunits present in the channel complex. As a result, the development of pharmaceuticals targeting Kv7.1 is problematic. This review discusses the roles and the mechanisms by which different signaling pathways affect Kv7.1 and KCNE channels and could potentially provide different ways of targeting the channel.

scholarly journals Magnesium Ions Depolarize the Neuronal Membrane via Quantum Tunneling through the Closed Channels

2020 ◽  
Vol 2 (1) ◽  
pp. 57-63 ◽  
Author(s):  
Abdallah Barjas Qaswal
Keyword(s):  
Membrane Potential ◽  
Quantum Tunneling ◽  
Magnesium Concentration ◽  
Resting Membrane Potential ◽  
Neuronal Membrane ◽  
Magnesium Ions ◽  
Quantum Conductance ◽  
Depolarization Effect ◽  
Bipolar Patients ◽  
Quantum Mechanical Approach

Magnesium ions have many cellular actions including the suppression of the excitability of neurons; however, the depolarization effect of magnesium ions seems to be contradictory. Thus several hypotheses have aimed to explain this effect. In this study, a quantum mechanical approach is used to explain the depolarization action of magnesium. The model of quantum tunneling of magnesium ions through the closed sodium voltage-gated channels was adopted to calculate the quantum conductance of magnesium ions, and a modified version of Goldman–Hodgkin–Katz equation was used to determine whether this quantum conductance was significant in affecting the resting membrane potential of neurons. Accordingly, it was found that extracellular magnesium ions can exhibit a depolarization effect on membrane potential, and the degree of this depolarization depends on the tunneling probability, the channels’ selectivity to magnesium ions, the channels’ density in the neuronal membrane, and the extracellular magnesium concentration. In addition, extracellular magnesium ions achieve a quantum conductance much higher than intracellular ones because they have a higher kinetic energy. This study aims to identify the mechanism of the depolarization action of magnesium because this may help in offering better therapeutic solutions for fetal neuroprotection and in stabilizing the mood of bipolar patients.

Development of membrane conductance of chick skeletal muscle in culture

1980 ◽  
Vol 58 (6) ◽  
pp. 600-605 ◽  
Author(s):  
C. M. Thomson ◽  
W. F. Dryden
Keyword(s):  
Skeletal Muscle ◽  
Membrane Potential ◽  
Initial Level ◽  
Potassium Conductance ◽  
Membrane Conductance ◽  
Resting Membrane Potential ◽  
Membrane Conductances ◽  
Rapid Changes ◽  
Fibre Development

Resting membrane potentials and membrane conductances of chick skeletal muscle in culture were determined from the 3rd to the 10th day after plating. The effect of tetraethylammonium (TEA) and of replacement of potassium with caesium on these parameters was investigated. Resting membrane potential (Em) rises during myogenesis in vitro and resting membrane conductance (Gm) falls. The initial level of Gm was relatively high (1.2 mS cm−2) but this fell to a final level around 0.2 mS cm−2. The most rapid changes in both parameters occurred between days 3 and 5 of culture. Both TEA and caesium depressed Em and Gm at all stages of development. On the 3rd day of culture Gm was reduced by 0.2 mS cm−2 by both agents. Thereafter, Gm was depressed by about 0.1 mS cm−2. Caesium does not penetrate potassium channels and the reduction in Gm is attributed to block of these channels. This indicates that resting potassium conductance is relatively constant at 0.1 mS cm−2 throughout muscle fibre development. Because TEA produces changes in Gm similar to those produced by caesium, TEA is concluded to be acting at the potassium channel in a manner similar to caesium.

scholarly journals Tuning voltage-gated channel activity and cellular excitability with a sphingomyelinase

2013 ◽  
Vol 142 (4) ◽  
pp. 367-380 ◽  
Author(s):  
David J. Combs ◽  
Hyeon-Gyu Shin ◽  
Yanping Xu ◽  
Yajamana Ramu ◽  
Zhe Lu
Keyword(s):  
Membrane Potential ◽  
Mammalian Cells ◽  
Resting Membrane Potential ◽  
Xenopus Laevis Oocytes ◽  
Channel Activity ◽  
Excitable Cells ◽  
Voltage Sensors ◽  
Voltage Gated ◽  
Activated State ◽  
Gated Channel

Voltage-gated ion channels generate action potentials in excitable cells and help set the resting membrane potential in nonexcitable cells like lymphocytes. It has been difficult to investigate what kinds of phospholipids interact with these membrane proteins in their native environments and what functional impacts such interactions create. This problem might be circumvented if we could modify specific lipid types in situ. Using certain voltage-gated K+ (KV) channels heterologously expressed in Xenopus laevis oocytes as a model, our group has shown previously that sphingomyelinase (SMase) D may serve this purpose. SMase D is known to remove the choline group from sphingomyelin, a phospholipid primarily present in the outer leaflet of plasma membranes. This SMase D action lowers the energy required for voltage sensors of a KV channel to enter the activated state, causing a hyperpolarizing shift of the Q-V and G-V curves and thus activating them at more hyperpolarized potentials. Here, we find that this SMase D effect vanishes after removing most of the voltage-sensor paddle sequence, a finding supporting the notion that SMase D modification of sphingomyelin molecules alters these lipids’ interactions with voltage sensors. Then, using SMase D to probe lipid–channel interactions, we find that SMase D not only similarly stimulates voltage-gated Na+ (NaV) and Ca2+ channels but also markedly slows NaV channel inactivation. However, the latter effect is not observed in tested mammalian cells, an observation highlighting the profound impact of the membrane environment on channel function. Finally, we directly demonstrate that SMase D stimulates both native KV1.3 in nonexcitable human T lymphocytes at their typical resting membrane potential and native NaV channels in excitable cells, such that it shifts the action potential threshold in the hyperpolarized direction. These proof-of-concept studies illustrate that the voltage-gated channel activity in both excitable and nonexcitable cells can be tuned by enzymatically modifying lipid head groups.

The Schrödinger Equation

2020 ◽  
pp. 265-288
Author(s):  
M. Suhail Zubairy
Keyword(s):  
Quantum Mechanics ◽  
Schrödinger Equation ◽  
Quantum Tunneling ◽  
Schrodinger Equation ◽  
Classical Mechanics ◽  
Three Dimensional ◽  
Particle Dynamics ◽  
Quantization Condition ◽  
De Broglie Waves ◽  
Macroscopic Objects

In this chapter, the Schrödinger equation is “derived” for particles that can be described by de Broglie waves. The Schrödinger equation is very different from the corresponding equation of motion in classical mechanics. In order to illustrate the fundamental differences between the two theories, one of the simplest problems of particle dynamics is solved in both Newtonian and quantum mechanics. This simple example also helps to show that quantum mechanics is the fundamental theory and classical mechanics is an approximation, a remarkably good approximation, when considering macroscopic objects. The solution of the Schrödinger equation is presented for a particle inside a box and the quantization condition is derived. The amazing possibility of quantum tunneling when a particle is incident on a barrier of height larger than the energy of the incident particle is also discussed. Finally the three-dimensional Schrödinger equation is solved for the hydrogen atom.

scholarly journals Homeostatic recovery of embryonic spinal activity initiated by compensatory changes in resting membrane potential

2019 ◽  
Author(s):  
Carlos Gonzalez-Islas ◽  
Miguel Angel Garcia-Bereguiain ◽  
Peter Wenner
Keyword(s):  
Nervous System ◽  
Membrane Potential ◽  
Homeostatic Plasticity ◽  
Network Activity ◽  
Resting Membrane Potential ◽  
Receptor Blockade ◽  
Homeostatic Mechanism ◽  
Voltage Gated ◽  
Baseline Activity

AbstractWhen baseline activity in a neuronal network is modified by external challenges, a set of mechanisms is prompted to homeostatically restore activity levels. These homeostatic mechanisms are thought to be profoundly important in the maturation of the network. We have previously shown that 2-day blockade of either excitatory GABAergic or glutamatergic transmission in the living embryo transiently blocks the movements generated by spontaneous network activity (SNA) in the spinal cord. However, by 2 hours of persistent receptor blockade embryonic movements begin to recover, and by 12 hours we observe a complete homeostatic recovery in vivo. Compensatory changes in voltage-gated conductances in motoneurons were observed by 12 hours of blockade, but not changes in synaptic strength. It was unclear whether changes in voltage-gated conductances were observed by 2 hours of blockade when the recovery actually begins. Further, compensatory changes in voltage-gated conductances were not observed following glutamatergic blockade where embryonic movements were blocked but then recovered in a similar manner to GABAergic blockade. In this study, we discover a mechanism for homeostatic recovery in these first hours of neurotransmitter receptor blockade. In the first 6 hours of GABAergic or glutamatergic blockade there was a clear depolarization of resting membrane potential in both motoneurons and interneurons. These changes reduced action potential threshold and were mainly observed in the continued presence of the antagonist. Therefore, it appears that fast changes in resting membrane potential represent a key fast homeostatic mechanism for the maintenance of network activity in the living embryonic nervous system.SignificanceHomeostatic plasticity represents a set of mechanisms that act to recover cellular or network activity following a challenge to that activity and is thought to be critical for the developmental construction of the nervous system. The chick embryo afforded us the opportunity to observe in a living developing system the timing of the homeostatic recovery of network activity following 2 distinct perturbations. Because of this advantage, we have identified a novel homeostatic mechanism that actually occurs as the network recovers and is therefore likely to contribute to nervous system homeostasis. We found that a depolarization of the resting membrane potential in the first hour of the perturbations enhances excitability and supports the recovery of embryonic spinal network activity.

Sign in / Sign up

Export Citation Format

Share Document