Optimal-Sensitivity Analysis of Ion Channel Gating Kinetics

We propose a new approach to analysis of kinetic models for ion channel gating, based on application of fluctuating voltages through a voltage clamp, in addition to conventional techniques. We show that the channel kinetics can be probed in a much more sensitive way, leading to more efficient model selection and more reliable estimates of model parameters. We use wavelet transform as an analytic tool for fluctuating currents and parametric dispersion plots as a measure of model compatibility with experimental data.This revised version was published online in August 2005 with a corrected cover date.     

环核苷酸门控离子通道门控的分子机理

环核苷酸门控离子通道(CNG)最广泛地分布于神经细胞。近年来关于 CNG 通道门控的分子机制的研究取得了很大的进步。研究表明, CNG 通道的组成及组装影响通道的特性及门控。近年来有关 CNG 突变体的研究及半胱氨酸残基亲和性的分析表明, 环核苷酸首先结合到 CNG 通道 C 端的环核苷酸结合域(CNBD)上引起 CNBD 空间构像改变, 然后 4 个亚单元发生空间构像的协调改变, CNG 通道开放。本文详细讨论了 CNG 通道的门控机制、各亚单元之间的相互作用、组装的过程及其空间构想的变化, 为 CNG 通道的进一步研究, 尤其是离子通道疾病方面提供理论指导。     

Hydrophobic Gating of Ion Permeation in Magnesium Channel CorA

Ion channels catalyze ionic permeation across membranes via water-filled pores. To understand how changes in intracellular magnesium concentration regulate the influx of Mg²⁺ into cells, we examine early events in the relaxation of Mg²⁺ channel CorA toward its open state using massively-repeated molecular dynamics simulations conducted either with or without regulatory ions. The pore of CorA contains a 2-nm-long hydrophobic bottleneck which remained dehydrated in most simulations. However, rapid hydration or “wetting” events concurrent with small-amplitude fluctuations in pore diameter occurred spontaneously and reversibly. In the absence of regulatory ions, wetting transitions are more likely and include a wet state that is significantly more stable and more hydrated. The free energy profile for Mg²⁺ permeation presents a barrier whose magnitude is anticorrelated to pore diameter and the extent of hydrophobic hydration. These findings support an allosteric mechanism whereby wetting of a hydrophobic gate couples changes in intracellular magnesium concentration to the onset of ionic conduction.     

Collective Equilibrium Behaviour of Ion Channel Gating in Cell Membranes: An Ising Model Formulation

A statistical mechanical model for voltage-gated ion channels in cell membranes is proposed using the transfer matrix method. Equilibrium behavior of the system is studied. Representing the distribution of channels over the cellular membrane on a one-dimensional array with each channel having two states (open and closed) and incorporating channel–channel cooperative interactions, we calculate the fraction of channels in the open state at equilibrium. Experimental data obtained from batrachotoxin-modified sodium channels in the squid giant axon, using the cut-open axon technique, is best fit by the model when there is no interaction between the channels.     

Site-Directed Spin Labeling Reveals Pentameric Ligand-Gated Ion Channel Gating Motions

Pentameric ligand-gated ion channels (pLGICs) are neurotransmitter-activated receptors that mediate fast synaptic transmission. In pLGICs, binding of agonist to the extracellular domain triggers a structural rearrangement that leads to the opening of an ion-conducting pore in the transmembrane domain and, in the continued presence of neurotransmitter, the channels desensitize (close). The flexible loops in each subunit that connect the extracellular binding domain (loops 2, 7, and 9) to the transmembrane channel domain (M2–M3 loop) are essential for coupling ligand binding to channel gating. Comparing the crystal structures of two bacterial pLGIC homologues, ELIC and the proton-activated GLIC, suggests channel gating is associated with rearrangements in these loops, but whether these motions accurately predict the motions in functional lipid-embedded pLGICs is unknown. Here, using site-directed spin labeling (SDSL) electron paramagnetic resonance (EPR) spectroscopy and functional GLIC channels reconstituted into liposomes, we examined if, and how far, the loops at the ECD/TMD gating interface move during proton-dependent gating transitions from the resting to desensitized state. Loop 9 moves ∼9 Å inward toward the channel lumen in response to proton-induced desensitization. Loop 9 motions were not observed when GLIC was in detergent micelles, suggesting detergent solubilization traps the protein in a nonactivatable state and lipids are required for functional gating transitions. Proton-induced desensitization immobilizes loop 2 with little change in position. Proton-induced motion of the M2–M3 loop was not observed, suggesting its conformation is nearly identical in closed and desensitized states. Our experimentally derived distance measurements of spin-labeled GLIC suggest ELIC is not a good model for the functional resting state of GLIC, and that the crystal structure of GLIC does not correspond to a desensitized state. These findings advance our understanding of the molecular mechanisms underlying pLGIC gating.     

离子通道数学模型

介绍了离子通道记录的记忆性及其反映这种记忆的齐次Markov模型和具有随机环境的Markov模型,并且上述模型较好的解决“Omission”问题,讨论了模型反映的离子通道记录的物理及生理机制,认为离子通道记录记忆性反映离子通道记忆性。     

A 0-Memory Model for Single Ion Channel

This paper discusses a 0-memory model for a single ion channel. The renewal rates of the open-class and the close-class are proposed to deseribe kinetic properties of a single ion channel. Further more, a procedure to estimate the parameters in the model is suggested and illustrated with examples in pharmacology.     

Stochastic Gating as a Novel Mechanism for Channel Selectivity

An ideal channel, responsible for metabolite fluxes in and out of the cells and cellular compartments, is supposed to be selective for a particular set of molecules only. However, such a channel has to be wide enough to accommodate relatively large metabolites, and, therefore, it allows passage of smaller solutes, for example, sodium, potassium, and chloride ions, thus compromising membrane’s barrier function. Here we show that stochastic gating is able to provide a mechanism for the selectivity of wide channels in favor of large metabolites. Specifically, applying our recent theory of the stochastic gating effect on channel-facilitated transport, we demonstrate that under certain conditions gating hinders translocation of fast-diffusing small solutes to a significantly higher degree than that of large solutes that diffuse much slower. We hypothesize that this can be used by Nature to minimize the shunting effect of wide channels with respect to small solutes.     

Inherent Dynamics of the Acid-Sensing Ion Channel 1 Correlates with the Gating Mechanism

The acid-sensing ion channel 1 (ASIC1) is a key receptor for extracellular protons. Although numerous structural and functional studies have been performed on this channel, the structural dynamics underlying the gating mechanism remains unknown. We used normal mode analysis, mutagenesis, and electrophysiological methods to explore the relationship between the inherent dynamics of ASIC1 and its gating mechanism. Here we show that a series of collective motions among the domains and subdomains of ASIC1 correlate with its acid-sensing function. The normal mode analysis result reveals that the intrinsic rotation of the extracellular domain and the collective motions between the thumb and finger induced by proton binding drive the receptor to experience a deformation from the extracellular domain to the transmembrane domain, triggering the channel pore to undergo “twist-to-open” motions. The movements in the transmembrane domain indicate that the likely position of the channel gate is around Leu440. These motion modes are compatible with a wide body of our complementary mutations and electrophysiological data. This study provides the dynamic fundamentals of ASIC1 gating.     

Kir6.2 Channel Gating by Intracellular Protons: Subunit Stoichiometry for Ligand Binding and Channel Gating

The adenosine triphosphate-sensitive K⁺ (K_ATP) channels are gated by several metabolites, whereas the gating mechanism remains unclear. Kir6.2, a pore-forming subunit of the K_ATP channels, has all machineries for ligand binding and channel gating. In Kir6.2, His175 is the protonation site and Thr71 and Cys166 are involved in channel gating. Here, we show how individual subunits act in proton binding and channel gating by selectively disrupting functional subunits using these residues. All homomeric dimers and tetramers showed pH sensitivity similar to the monomeric channels. Concatenated construction of wild type with disrupted subunits revealed that none of these residues had a dominant-negative effect on the proton-dependent channel gating. Subunit action in proton binding was almost identical to that for channel gating involving Cys166, suggesting a one-to-one coupling from the C terminus to the M2 helix. This was significantly different from the effect of T71Y heteromultimers, suggesting distinct contributions of M1 and M2 helices to channel gating. Subunits underwent concerted rather than independent action. Two wild-type subunits appeared to act as a functional dimer in both cis and trans configurations. The understanding of K_ATP channel gating by intracellular pH has a profound impact on cellular responses to metabolic stress as a significant drop in intracellular pH is more frequently seen under a number of physiological and pathophysiological conditions than a sole decrease in intracellular ATP levels. Runping Wang, Junda Su contributed equally to this work.     

Role of Ion Distribution and Energy Barriers for Concerted Motion of Subunits in Selectivity Filter Gating of a K+ Channel

Most potassium channels have two main gate locations, hosting an inner gate at the cytosolic entrance and a filter gate in the selectivity filter; the function of these gates is in many channels coupled. To obtain exclusive insights into the molecular mechanisms that determine opening and closing of the filter gate, we use a combination of single-channel recordings and gating analysis in the minimal viral channel Kcv_NTS. This channel has no inner gate, and its fast closing at negative voltages can therefore be entirely assigned to the filter gate. We find that mutations of S42 in the pore helix severely slow down closing of this filter gate, an effect which is not correlated with hydrogen bond formation by the amino acid at this position. Hence, different from KcsA, which contains the critical E71 in the equivalent position forming a salt bridge, the coupling between selectivity filter and surrounding structures for filter gating must in Kcv_NTS rely on different modes of interaction. Quantitative analysis of concatemers carrying different numbers of S42T mutations reveals that each subunit contributes the same amount of ～ 0.4 kcal/mol to the energy barrier for filter closure indicating a concerted action of the subunits. Since the mutations have neither an influence on the unitary current nor on the voltage dependency of the gate, the data stress that the high subunit cooperativity is mediated through conformational changes rather than through changes in the ion occupation in the selectivity filter.     

Lyotropic Ion Channel Current Model Compared with Ising Model

Trans-membrane currents in ligand-gated ion channels are calculated in a non-equilibrium, chemically open whole cell system. The model is lyotropic in the sense that dynamics and parameters such as ligand concentration for half-maximal response (scale of response), and threshold for firing in neurons, are nonlinear functions of the reactant concentrations. The derived total current fits recorded data significantly better than those derived from mass action, Ising, and other equilibrium type models, in which the derived response can be displaced from the assessed response by several orders in the ligand concentration. A comparison of the model obtained with an Ising-like model provides a methodology to obtain the non-equilibrium scaling dependence of Ising-like models on the reactant concentrations.     

Effects of Exogenous Electromagnetic Fields on a Simplified Ion Channel Model

In this paper, we calculate the effect of an exogenous perturbation (an electromagnetic field [EMF] oscillating in the range of microwave frequencies in the range of 1 GHz) on the flux of two ion species through a cylindrical ion channel, implementing a continuous model, the Poisson–Smoluchowski system of equations, to study the dynamics of charged particle density inside the channel. The method was validated through comparison with Brownian dynamics simulations, supposed to be more accurate but computationally more demanding, obtaining a very good agreement. No EMF effects were observed for low field intensities below the level for thermal effects, as the highly viscous regime and the simplicity of the channel do not exhibit resonance phenomena. For high intensities of the external field (>10⁵ V/m), we observed slightly different behavior of ion concentration oscillations and ion currents as a function of EMF orientation with respect to the channel axis.     

Magnetic Entropy as a Proposed Gating Mechanism for Magnetogenetic Ion Channels

Magnetically sensitive ion channels would allow researchers to better study how specific brain cells affect behavior in freely moving animals; however, recent reports of “magnetogenetic” ion channels based on biogenic ferritin nanoparticles have been questioned because known biophysical mechanisms cannot explain experimental observations. Here, we reproduce a weak magnetically mediated calcium response in HEK cells expressing a previously published TRPV4-ferritin fusion protein. We find that this magnetic sensitivity is attenuated when we reduce the temperature sensitivity of the channel but not when we reduce the mechanical sensitivity of the channel, suggesting that the magnetic sensitivity of this channel is thermally mediated. As a potential mechanism for this thermally mediated magnetic response, we propose that changes in the magnetic entropy of the ferritin particle can generate heat via the magnetocaloric effect and consequently gate the associated temperature-sensitive ion channel. Unlike other forms of magnetic heating, the magnetocaloric mechanism can cool magnetic particles during demagnetization. To test this prediction, we constructed a magnetogenetic channel based on the cold-sensitive TRPM8 channel. Our observation of a magnetic response in cold-gated channels is consistent with the magnetocaloric hypothesis. Together, these new data and our proposed mechanism of action provide additional resources for understanding how ion channels could be activated by low-frequency magnetic fields.