1
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Stevens MJ, Rempe SLB. Insight into the K channel's selectivity from binding of K +, Na + and water to N-methylacetamide. Faraday Discuss 2024; 249:195-209. [PMID: 37846738 DOI: 10.1039/d3fd00110e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2023]
Abstract
In potassium channels that conduct K+ selectively over Na+, which sites are occupied by K+ or water and the mechanism of selectivity are unresolved questions. The combination of the energetics and the constraints imposed by the protein structure yield the selective permeation and occupancy. To gain insight into the combination of structure and energetics, we performed density functional theory (DFT) calculations of multiple N-methyl acetamide (NMA) ligands binding to K+ and Na+, relative to hydrated K+ and Na+. NMA is an analogue of the amino acid backbone and provides the carbonyl binding to the ions that occurs in most binding sites of the K+ channel. Unconstrained optimal structures are obtained through geometry optimization calculations of the NMA ligand binding. The complexes formed by 8 NMA binding to the cations have the O atoms positioned in nearly identical locations as the O atoms in the selectivity filter. The transfer free energies between bulk water and K+ or Na+ bound to 8 NMA are almost identical, implying there is no selectivity by a single site. For water optimized with 8 NMA, binding is weak and O atoms are not positioned as in the K+ channel selectivity filter, suggesting that the ions are much more favored than water. Optimal structures of 8 NMA binding with two cations (K+ or Na+) are stable and have lower binding free energy than the optimal structures with just one cation. However, in the Na+ case, the optimal structure deforms and does not match the K+ channel; that is, two bound Na+ are destabilizing. In contrast, the two K+ structure is stabilized and the selectivity free energy favors K+. Overall, this study shows that binding site occupancy and the mechanism for K+ selectivity involves multiple K+ binding in multiple neighboring layers or sites of the K+ channel selectivity filter.
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Affiliation(s)
- Mark J Stevens
- Center for Integrated Nanotechnologies, Sandia National Laboratories, Albuquerque, NM 87185, USA.
| | - Susan L B Rempe
- Center for Integrated Nanotechnologies, Sandia National Laboratories, Albuquerque, NM 87185, USA.
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2
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Cosseddu SM, Choe EJ, Khovanov IA. Unraveling of a Strongly Correlated Dynamical Network of Residues Controlling the Permeation of Potassium in KcsA Ion Channel. ENTROPY (BASEL, SWITZERLAND) 2021; 23:E72. [PMID: 33418985 PMCID: PMC7825352 DOI: 10.3390/e23010072] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/10/2020] [Revised: 12/23/2020] [Accepted: 01/02/2021] [Indexed: 12/26/2022]
Abstract
The complicated patterns of the single-channel currents in potassium ion channel KcsA are governed by the structural variability of the selectivity filter. A comparative analysis of the dynamics of the wild type KcsA channel and several of its mutants showing different conducting patterns was performed. A strongly correlated dynamical network of interacting residues is found to play a key role in regulating the state of the wild type channel. The network is centered on the aspartate D80 which plays the role of a hub by strong interacting via hydrogen bonds with residues E71, R64, R89, and W67. Residue D80 also affects the selectivity filter via its backbones. This network further compromises ions and water molecules located inside the channel that results in the mutual influence: the permeation depends on the configuration of residues in the network, and the dynamics of network's residues depends on locations of ions and water molecules inside the selectivity filter. Some features of the network provide a further understanding of experimental results describing the KcsA activity. In particular, the necessity of anionic lipids to be present for functioning the channel is explained by the interaction between the lipids and the arginine residues R64 and R89 that prevents destabilizing the structure of the selectivity filter.
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Affiliation(s)
| | | | - Igor A. Khovanov
- School of Engineering, University of Warwick, Coventry CV4 7AL, UK; (S.M.C.); (E.J.C.)
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3
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Schmidt M, Schroeder I, Bauer D, Thiel G, Hamacher K. Inferring functional units in ion channel pores via relative entropy. EUROPEAN BIOPHYSICS JOURNAL : EBJ 2021; 50:37-57. [PMID: 33523249 PMCID: PMC7872957 DOI: 10.1007/s00249-020-01480-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/21/2019] [Revised: 10/11/2020] [Accepted: 11/09/2020] [Indexed: 11/25/2022]
Abstract
Coarse-grained protein models approximate the first-principle physical potentials. Among those modeling approaches, the relative entropy framework yields promising and physically sound results, in which a mapping from the target protein structure and dynamics to a model is defined and subsequently adjusted by an entropy minimization of the model parameters. Minimization of the relative entropy is equivalent to maximization of the likelihood of reproduction of (configurational ensemble) observations by the model. In this study, we extend the relative entropy minimization procedure beyond parameter fitting by a second optimization level, which identifies the optimal mapping to a (dimension-reduced) topology. We consider anisotropic network models of a diverse set of ion channels and assess our findings by comparison to experimental results.
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Affiliation(s)
- Michael Schmidt
- Department of Physics, TU Darmstadt, Karolinenpl. 5, 64289 Darmstadt, Germany
| | - Indra Schroeder
- Department of Biology, TU Darmstadt, Schnittspahnstr. 10, 64287 Darmstadt, Germany
| | - Daniel Bauer
- Department of Biology, TU Darmstadt, Schnittspahnstr. 10, 64287 Darmstadt, Germany
| | - Gerhard Thiel
- Department of Biology, TU Darmstadt, Schnittspahnstr. 10, 64287 Darmstadt, Germany
| | - Kay Hamacher
- Department of Physics, Department of Biology, Department of Computer Science, TU Darmstadt, Schnittspahnstr. 10, 64287 Darmstadt, Germany
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4
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Callahan KM, Mondou B, Sasseville L, Schwartz JL, D'Avanzo N. The influence of membrane bilayer thickness on KcsA channel activity. Channels (Austin) 2020; 13:424-439. [PMID: 31608774 PMCID: PMC6802934 DOI: 10.1080/19336950.2019.1676367] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022] Open
Abstract
Atomic resolution structures have provided significant insight into the gating and permeation mechanisms of various ion channels, including potassium channels. However, ion channels may also be regulated by numerous factors, including the physiochemical properties of the membrane in which they are embedded. For example, the matching of the bilayer's hydrophobic region to the hydrophobic external surface of the ion channel is thought to minimize the energetic penalty needed to solvate hydrophobic residues or exposed lipid tails. To understand the molecular basis of such regulation by hydrophobic matching requires examining channels in the presence of the lipid membrane. Here we examine the role of hydrophobic matching in regulating the activity of the model potassium channel, KcsA. 86Rb+ influx assays and single-channel recordings indicate that the non-inactivating E71A KcsA channel is most active in thin bilayers (<diC18:1PC). Bilayer thickness affects the open probability of KcsA and not its unitary conductance. Molecular dynamics simulations indicate that the bilayer can sufficiently modify its dimensions to accommodate KcsA channels without major perturbations in the protein helical packing within the nanosecond timescale. Based on experimental results and MD simulations, we present a model in which bilayer thickness influences the stability of the open and closed conformations of the intracellular gate of KcsA, with minimal impact on the stability of the selectivity filter of the non-inactivating mutant, E71A.
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Affiliation(s)
- Karen M Callahan
- From the Département de pharmacologie et physiologie, Faculté de médecine, Université de Montréal , Montréal , Canada
| | - Benoit Mondou
- Département de biochimie et médecine moléculaire, Université de Montréal , Montréal , Canada
| | - Louis Sasseville
- From the Département de pharmacologie et physiologie, Faculté de médecine, Université de Montréal , Montréal , Canada
| | - Jean-Louis Schwartz
- From the Département de pharmacologie et physiologie, Faculté de médecine, Université de Montréal , Montréal , Canada.,Département de biochimie et médecine moléculaire, Université de Montréal , Montréal , Canada.,Centre SÈVE, Université de Sherbrooke , Sherbrooke , Canada
| | - Nazzareno D'Avanzo
- From the Département de pharmacologie et physiologie, Faculté de médecine, Université de Montréal , Montréal , Canada.,Département de biochimie et médecine moléculaire, Université de Montréal , Montréal , Canada
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5
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Rauh O, Hansen UP, Scheub DD, Thiel G, Schroeder I. Site-specific ion occupation in the selectivity filter causes voltage-dependent gating in a viral K + channel. Sci Rep 2018; 8:10406. [PMID: 29991721 PMCID: PMC6039446 DOI: 10.1038/s41598-018-28751-w] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/17/2018] [Accepted: 06/28/2018] [Indexed: 12/24/2022] Open
Abstract
Many potassium channels show voltage-dependent gating without a dedicated voltage sensor domain. This is not fully understood yet, but often explained by voltage-induced changes of ion occupation in the five distinct K+ binding sites in the selectivity filter. To better understand this mechanism of filter gating we measured the single-channel current and the rate constant of sub-millisecond channel closure of the viral K+ channel KcvNTS for a wide range of voltages and symmetric and asymmetric K+ concentrations in planar lipid membranes. A model-based analysis employed a global fit of all experimental data, i.e., using a common set of parameters for current and channel closure under all conditions. Three different established models of ion permeation and various relationships between ion occupation and gating were tested. Only one of the models described the data adequately. It revealed that the most extracellular binding site (S0) in the selectivity filter functions as the voltage sensor for the rate constant of channel closure. The ion occupation outside of S0 modulates its dependence on K+ concentration. The analysis uncovers an important role of changes in protein flexibility in mediating the effect from the sensor to the gate.
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Affiliation(s)
- O Rauh
- Plant Membrane Biophysics, Technische Universität Darmstadt, Darmstadt, Germany
| | - U P Hansen
- Department of Structural Biology, Christian-Albrechts-Universität zu Kiel, Kiel, Germany
| | - D D Scheub
- Plant Membrane Biophysics, Technische Universität Darmstadt, Darmstadt, Germany
| | - G Thiel
- Plant Membrane Biophysics, Technische Universität Darmstadt, Darmstadt, Germany
| | - I Schroeder
- Plant Membrane Biophysics, Technische Universität Darmstadt, Darmstadt, Germany.
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6
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De S, C. H. R, Thamleena A. H, Joseph A, Ben A, V. U. K. Roles of different amino-acid residues towards binding and selective transport of K+ through KcsA K+-ion channel. Phys Chem Chem Phys 2018; 20:17517-17529. [DOI: 10.1039/c8cp01282b] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Abstract
Each amino acid in the selectivity filter plays a distinct role towards binding and transport of K+ ion through KcsA.
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Affiliation(s)
- Susmita De
- Department of Applied Chemistry
- Cochin University of Science and Technology
- Trikakkara
- Kochi
- India – 682 022
| | - Rinsha C. H.
- Theoretical and Computational Chemistry Laboratory
- Department of Chemistry
- National Institute of Technology Calicut
- Kozhikode
- India – 673 601
| | - Hanna Thamleena A.
- Theoretical and Computational Chemistry Laboratory
- Department of Chemistry
- National Institute of Technology Calicut
- Kozhikode
- India – 673 601
| | - Annu Joseph
- Theoretical and Computational Chemistry Laboratory
- Department of Chemistry
- National Institute of Technology Calicut
- Kozhikode
- India – 673 601
| | - Anju Ben
- Theoretical and Computational Chemistry Laboratory
- Department of Chemistry
- National Institute of Technology Calicut
- Kozhikode
- India – 673 601
| | - Krishnapriya V. U.
- Theoretical and Computational Chemistry Laboratory
- Department of Chemistry
- National Institute of Technology Calicut
- Kozhikode
- India – 673 601
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7
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Schroeder I. How to resolve microsecond current fluctuations in single ion channels: the power of beta distributions. Channels (Austin) 2016; 9:262-80. [PMID: 26368656 DOI: 10.1080/19336950.2015.1083660] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023] Open
Abstract
A main ingredient for the understanding of structure/function correlates of ion channels is the quantitative description of single-channel gating and conductance. However, a wealth of information provided from fast current fluctuations beyond the temporal resolution of the recording system is often ignored, even though it is close to the time window accessible to molecular dynamics simulations. This kind of current fluctuations provide a special technical challenge, because individual opening/closing or blocking/unblocking events cannot be resolved, and the resulting averaging over undetected events decreases the single-channel current. Here, I briefly summarize the history of fast-current fluctuation analysis and focus on the so-called "beta distributions." This tool exploits characteristics of current fluctuation-induced excess noise on the current amplitude histograms to reconstruct the true single-channel current and kinetic parameters. A guideline for the analysis and recent applications demonstrate that a construction of theoretical beta distributions by Markov Model simulations offers maximum flexibility as compared to analytical solutions.
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Affiliation(s)
- Indra Schroeder
- a Plant Membrane Biophysics, Technical University of Darmstadt ; Darmstadt , Germany
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8
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Rivera-Torres IO, Jin TB, Cadene M, Chait BT, Poget SF. Discovery and characterisation of a novel toxin from Dendroaspis angusticeps, named Tx7335, that activates the potassium channel KcsA. Sci Rep 2016; 6:23904. [PMID: 27044983 PMCID: PMC4820689 DOI: 10.1038/srep23904] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/18/2015] [Accepted: 03/16/2016] [Indexed: 02/07/2023] Open
Abstract
Due to their central role in essential physiological processes, potassium channels are common targets for animal toxins. These toxins in turn are of great value as tools for studying channel function and as lead compounds for drug development. Here, we used a direct toxin pull-down assay with immobilised KcsA potassium channel to isolate a novel KcsA-binding toxin (called Tx7335) from eastern green mamba snake (Dendroaspis angusticeps) venom. Sequencing of the toxin by Edman degradation and mass spectrometry revealed a 63 amino acid residue peptide with 4 disulphide bonds that belongs to the three-finger toxin family, but with a unique modification of its disulphide-bridge scaffold. The toxin induces a dose-dependent increase in both open probabilities and mean open times on KcsA in artificial bilayers. Thus, it unexpectedly behaves as a channel activator rather than an inhibitor. A charybdotoxin-sensitive mutant of KcsA exhibits similar susceptibility to Tx7335 as wild-type, indicating that the binding site for Tx7335 is distinct from that of canonical pore-blocker toxins. Based on the extracellular location of the toxin binding site (far away from the intracellular pH gate), we propose that Tx7335 increases potassium flow through KcsA by allosterically reducing inactivation of the channel.
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Affiliation(s)
- Iván O. Rivera-Torres
- LaGuardia Community College, City University of New York, Long Island City, NY 11101, USA
| | - Tony B. Jin
- Department of Chemistry, CUNY Graduate Center and Institute for Macromolecular Assemblies, College of Staten Island, City University of New York, Staten Island, NY 10314, USA
| | | | | | - Sébastien F. Poget
- Department of Chemistry, CUNY Graduate Center and Institute for Macromolecular Assemblies, College of Staten Island, City University of New York, Staten Island, NY 10314, USA
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9
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Hansen UP, Rauh O, Schroeder I. A simple recipe for setting up the flux equations of cyclic and linear reaction schemes of ion transport with a high number of states: The arrow scheme. Channels (Austin) 2015; 10:119-38. [PMID: 26646356 DOI: 10.1080/19336950.2015.1120391] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022] Open
Abstract
The calculation of flux equations or current-voltage relationships in reaction kinetic models with a high number of states can be very cumbersome. Here, a recipe based on an arrow scheme is presented, which yields a straightforward access to the minimum form of the flux equations and the occupation probability of the involved states in cyclic and linear reaction schemes. This is extremely simple for cyclic schemes without branches. If branches are involved, the effort of setting up the equations is a little bit higher. However, also here a straightforward recipe making use of so-called reserve factors is provided for implementing the branches into the cyclic scheme, thus enabling also a simple treatment of such cases.
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Affiliation(s)
- Ulf-Peter Hansen
- a Department of Structural Biology , University of Kiel , Kiel , Germany
| | - Oliver Rauh
- b Plant Membrane Biophysics , Technical University of Darmstadt , Darmstadt , Germany
| | - Indra Schroeder
- b Plant Membrane Biophysics , Technical University of Darmstadt , Darmstadt , Germany
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10
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Gravel AE, Arnold AA, Dufourc EJ, Marcotte I. An NMR investigation of the structure, function and role of the hERG channel selectivity filter in the long QT syndrome. BIOCHIMICA ET BIOPHYSICA ACTA-BIOMEMBRANES 2013; 1828:1494-502. [DOI: 10.1016/j.bbamem.2013.02.012] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/14/2012] [Revised: 02/23/2013] [Accepted: 02/25/2013] [Indexed: 02/03/2023]
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11
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Kim I, Allen TW. Bennett's acceptance ratio and histogram analysis methods enhanced by umbrella sampling along a reaction coordinate in configurational space. J Chem Phys 2012; 136:164103. [PMID: 22559466 DOI: 10.1063/1.3701766] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Free energy perturbation, a method for computing the free energy difference between two states, is often combined with non-Boltzmann biased sampling techniques in order to accelerate the convergence of free energy calculations. Here we present a new extension of the Bennett acceptance ratio (BAR) method by combining it with umbrella sampling (US) along a reaction coordinate in configurational space. In this approach, which we call Bennett acceptance ratio with umbrella sampling (BAR-US), the conditional histogram of energy difference (a mapping of the 3N-dimensional configurational space via a reaction coordinate onto 1D energy difference space) is weighted for marginalization with the associated population density along a reaction coordinate computed by US. This procedure produces marginal histograms of energy difference, from forward and backward simulations, with higher overlap in energy difference space, rendering free energy difference estimations using BAR statistically more reliable. In addition to BAR-US, two histogram analysis methods, termed Bennett overlapping histograms with US (BOH-US) and Bennett-Hummer (linear) least square with US (BHLS-US), are employed as consistency and convergence checks for free energy difference estimation by BAR-US. The proposed methods (BAR-US, BOH-US, and BHLS-US) are applied to a 1-dimensional asymmetric model potential, as has been used previously to test free energy calculations from non-equilibrium processes. We then consider the more stringent test of a 1-dimensional strongly (but linearly) shifted harmonic oscillator, which exhibits no overlap between two states when sampled using unbiased Brownian dynamics. We find that the efficiency of the proposed methods is enhanced over the original Bennett's methods (BAR, BOH, and BHLS) through fast uniform sampling of energy difference space via US in configurational space. We apply the proposed methods to the calculation of the electrostatic contribution to the absolute solvation free energy (excess chemical potential) of water. We then address the controversial issue of ion selectivity in the K(+) ion channel, KcsA. We have calculated the relative binding affinity of K(+) over Na(+) within a binding site of the KcsA channel for which different, though adjacent, K(+) and Na(+) configurations exist, ideally suited to these US-enhanced methods. Our studies demonstrate that the significant improvements in free energy calculations obtained using the proposed methods can have serious consequences for elucidating biological mechanisms and for the interpretation of experimental data.
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Affiliation(s)
- Ilsoo Kim
- Department of Chemistry, University of California, One Shields Avenue, Davis, California 95616, USA.
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12
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13
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Abstract
The mechanism by which K(+) channels select for K(+) over Na(+) ions has been debated for the better part of a century. The prevailing view is that K(+) channels contain highly conserved sites that selectively bind K(+) over Na(+) ions through optimal coordination. We demonstrate that a series of alternating sites within the KcsA channel selectivity filter exists, which are thermodynamically selective for either K(+) (cage made from two planes of oxygen atoms) or Na(+) ions (a single plane of four oxygen atoms). By combining Bennett free energy perturbation calculations with umbrella sampling, we show that when K(+) and Na(+) are both permitted to move into their preferred positions, the thermodynamic preference for K(+) over Na(+) is significantly reduced throughout the entire selectivity filter. We offer a rationale for experimental measures of thermodynamic preference for K(+) over Na(+) from Ba(2+) blocking data, by demonstrating that the presence of Ba(2+) ions exaggerates K(+) over Na(+) thermodynamic stability due to the different binding locations of these ions. These studies reveal that K(+) channel selectivity may not be associated with the thermodynamics of ions in crystallographic K(+) binding sites, but requires consideration of the kinetic barriers associated with the different multi-ion permeation mechanisms.
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14
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Varma S, Rogers DM, Pratt LR, Rempe SB. Perspectives on: ion selectivity: design principles for K+ selectivity in membrane transport. ACTA ACUST UNITED AC 2011; 137:479-88. [PMID: 21624944 PMCID: PMC3105521 DOI: 10.1085/jgp.201010579] [Citation(s) in RCA: 68] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Affiliation(s)
- Sameer Varma
- Department of Biological, Chemical and Physical Sciences, Illinois Institute of Technology, Chicago, USA
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15
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Affiliation(s)
- Purushottam D Dixit
- Chemical and Biomolecular Engineering, Johns Hopkins University, Baltimore, MD 21218, USA
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16
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Renart ML, Triano I, Poveda JA, Encinar JA, Fernández AM, Ferrer-Montiel AV, Gómez J, González Ros JM. Ion binding to KcsA: implications in ion selectivity and channel gating. Biochemistry 2011; 49:9480-7. [PMID: 20925387 DOI: 10.1021/bi101235v] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
Binding of K+ and Na+ to the potassium channel KcsA has been characterized from the stabilization observed in the heat-induced denaturation of the protein as the ion concentration is increased. KcsA thermal denaturation is known to include (i) dissociation of the homotetrameric channel into its constituent subunits and (ii) protein unfolding. The ion concentration-dependent changes in the thermal stability of the protein, evaluated as the Tm value for thermal-induced denaturation of the protein, may suggest the existence of both high- and low-affinity K+ binding sites of KcsA, which lend support to the tenet that channel gating may be governed by K+ concentration-dependent transitions between different affinity states of the channel selectivity filter. We also found that Na+ binds to KcsA with a KD similar to that estimated electrophysiologically from channel blockade. Therefore, our findings on ion binding to KcsA partly account for K+ over Na+ selectivity and Na+ blockade and argue against the strict “snug fit” hypothesis used initially to explain ion selectivity from the X-ray channel structure. Furthermore, the remarkable effects of increasing the ion concentration, K+ in particular, on the Tm of the denaturation process evidence that synergistic effects of the metal-mediated intersubunit interactions at the channel selectivity filter are a major contributor to the stability of the tetrameric protein. This observation substantiates the notion of a role for ions as structural “effectors” of ion channels.
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Affiliation(s)
- M L Renart
- Instituto de Biología Molecular y Celular, Universidad Miguel Hernández, Alicante, Spain
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17
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Bostick DL, Brooks CL. Selective complexation of K+ and Na+ in simple polarizable ion-ligating systems. J Am Chem Soc 2010; 132:13185-7. [PMID: 20809638 DOI: 10.1021/ja106197e] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
An influx of experimental and theoretical studies of ion transport protein structure has inspired efforts to understand underlying determinants of ionic selectivity. Design principles for selective ion binding can be effectively isolated and interrogated using simplified models composed of a single ion surrounded by a set of ion-ligating molecular species. While quantum mechanical treatments of such systems naturally incorporate electronic degrees of freedom, their computational overhead typically prohibits thorough dynamic sampling of configurational space and, thus, requires approximations when determining ion-selective free energy. As an alternative, we employ dynamical simulations with a polarizable force field to probe the structure and K(+)/Na(+) selectivity in simple models composed of one central K(+)/Na(+) ion surrounded by 0-8 identical model compounds: N-methylacetamide, formamide, or water. In the absence of external restraints, these models represent gas-phase clusters displaying relaxed coordination structures with low coordination number. Such systems display Na(+) selectivity when composed of more than ∼3 organic carbonyl-containing compounds and always display K(+) selectivity when composed of water molecules. Upon imposing restraints that solely enforce specific coordination numbers, we find all models are K(+)-selective when ∼7-8-fold ion coordination is achieved. However, when models composed of the organic compounds provide ∼4-6-fold coordination, they retain their Na(+) selectivity. From these trends, design principles emerge that are of basic importance in the behavior of K(+) channel selectivity filters and suggest a basis not only for K(+) selectivity but also for modulation of block and closure by smaller ions.
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Affiliation(s)
- David L Bostick
- Department of Chemistry and Biophysics, University of Michigan, 930 North University Avenue, Ann Arbor, Michigan 48109, USA
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18
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Illingworth CJR, Furini S, Domene C. Computational Studies on Polarization Effects and Selectivity in K+ Channels. J Chem Theory Comput 2010. [DOI: 10.1021/ct100276c] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Affiliation(s)
- Christopher J. R. Illingworth
- Physical and Theoretical Chemistry Laboratory, Department of Chemistry, University of Oxford, Oxford OX1 3QZ, United Kingdom
| | - Simone Furini
- Physical and Theoretical Chemistry Laboratory, Department of Chemistry, University of Oxford, Oxford OX1 3QZ, United Kingdom
| | - Carmen Domene
- Physical and Theoretical Chemistry Laboratory, Department of Chemistry, University of Oxford, Oxford OX1 3QZ, United Kingdom
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19
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Miloshevsky GV, Hassanein A, Jordan PC. Shape-Dependent Global Deformation Modes of Large Protein Structures. J Mol Struct 2010; 972:41-50. [PMID: 20526444 PMCID: PMC2878971 DOI: 10.1016/j.molstruc.2010.01.009] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Abstract
Conformational changes are central to the functioning of pore-forming proteins that open and close their molecular gates in response to external stimuli such as pH, ionic strength, membrane voltage or ligand binding. Normal mode analysis (NMA) is used to identify and characterize the slowest motions in the gA, KcsA, ClC-ec1, LacY and LeuT(Aa) proteins at the onset of gating. Global deformation modes of the essentially cylindrical gA, KcsA, LacY and LeuT(Aa) biomolecules are reminiscent of global twisting, transverse and longitudinal motions in a homogeneous elastic rod. The ClC-ec1 protein executes a splaying motion in the plane perpendicular to the lipid bilayer. These global collective deformations are determined by protein shape. New methods, all-atom Monte Carlo Normal Mode Following and its simplification using a rotation-translation of protein blocks (RTB), are described and applied to gain insight into the nature of gating transitions in gA and KcsA. These studies demonstrate the severe limitations of standard NMA in characterizing the structural rearrangements associated with gating transitions. Comparison of all-atom and RTB transition pathways in gA clearly illustrates the impact of the rigid protein block approximation and the need to include all degrees of freedom and their relaxation in computational studies of protein gating. The effects of atomic level structure, pH, hydrogen bonding and charged residues on the large scale conformational changes associated with gating transitions are discussed.
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Affiliation(s)
| | - Ahmed Hassanein
- School of Nuclear Engineering, Purdue University, West Lafayette, IN 47907, USA
| | - Peter C. Jordan
- Department of Chemistry, MS-015 Brandeis University, P.O. Box 549110, Waltham, MA 02454-9110, USA
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20
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Thiel G, Baumeister D, Schroeder I, Kast SM, Van Etten JL, Moroni A. Minimal art: or why small viral K(+) channels are good tools for understanding basic structure and function relations. BIOCHIMICA ET BIOPHYSICA ACTA-BIOMEMBRANES 2010; 1808:580-8. [PMID: 20417613 DOI: 10.1016/j.bbamem.2010.04.008] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/11/2010] [Revised: 04/09/2010] [Accepted: 04/13/2010] [Indexed: 11/17/2022]
Abstract
Some algal viruses contain genes that encode proteins with the hallmarks of K(+) channels. One feature of these proteins is that they are less than 100 amino acids in size, which make them truly minimal for a K(+) channel protein. That is, they consist of only the pore module present in more complex K(+) channels. The combination of miniature size and the functional robustness of the viral K(+) channels make them ideal model systems for studying how K(+) channels work. Here we summarize recent structure/function correlates from these channels, which provide insight into functional properties such as gating, pharmacology and sorting in cells.
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Affiliation(s)
- Gerhard Thiel
- Institute of Botany, Technische Universität Darmstadt, Schnittspahnstrasse 3, 64287 Darmstadt, Germany.
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21
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Yu H, Roux B. On the utilization of energy minimization to the study of ion selectivity. Biophys J 2010; 97:L15-7. [PMID: 19843443 DOI: 10.1016/j.bpj.2009.08.005] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/20/2009] [Revised: 08/03/2009] [Accepted: 08/05/2009] [Indexed: 11/16/2022] Open
Abstract
The major pitfalls in studying ion selectivity in binding site models using energy minimization based methods are examined and discussed. It is shown that the properties derived from energy minimization are strongly configuration-dependent and that the results should be interpreted with caution. It is concluded that computational studies of ion selectivity must include thermal fluctuations and entropic effects.
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22
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Cuello LG, Cortes DM, Jogini V, Sompornpisut A, Perozo E. A molecular mechanism for proton-dependent gating in KcsA. FEBS Lett 2010; 584:1126-32. [PMID: 20138880 DOI: 10.1016/j.febslet.2010.02.003] [Citation(s) in RCA: 46] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/14/2009] [Revised: 02/01/2010] [Accepted: 02/01/2010] [Indexed: 11/28/2022]
Abstract
Activation gating in KcsA is elicited by changes in intracellular proton concentration. Thompson et al. identified a charge cluster around the inner gate that plays a key role in defining proton activation in KcsA. Here, through functional and spectroscopic approaches, we confirmed the role of this charge cluster and now provide a mechanism of pH-dependent gating. Channel opening is driven by a set of electrostatic interactions that include R117, E120 and E118 at the bottom of TM2 and H25 at the end of TM1. We propose that electrostatic compensation in this charge cluster stabilizes the closed conformation at neutral pH and that its disruption at low pH facilitates the transition to the open conformation by means of helix-helix repulsion.
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Affiliation(s)
- Luis G Cuello
- Department of Biochemistry and Molecular Biology, The University of Chicago, Chicago, IL 60637, USA
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23
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Malasics A, Gillespie D, Nonner W, Henderson D, Eisenberg B, Boda D. Protein structure and ionic selectivity in calcium channels: selectivity filter size, not shape, matters. BIOCHIMICA ET BIOPHYSICA ACTA 2009; 1788:2471-80. [PMID: 19818330 PMCID: PMC2789594 DOI: 10.1016/j.bbamem.2009.09.022] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/05/2009] [Revised: 09/28/2009] [Accepted: 09/30/2009] [Indexed: 11/27/2022]
Abstract
Calcium channels have highly charged selectivity filters (4 COO(-) groups) that attract cations in to balance this charge and minimize free energy, forcing the cations (Na(+) and Ca(2+)) to compete for space in the filter. A reduced model was developed to better understand the mechanism of ion selectivity in calcium channels. The charge/space competition (CSC) mechanism implies that Ca(2+) is more efficient in balancing the charge of the filter because it provides twice the charge as Na(+) while occupying the same space. The CSC mechanism further implies that the main determinant of Ca(2+) versus Na(+) selectivity is the density of charged particles in the selectivity filter, i.e., the volume of the filter (after fixing the number of charged groups in the filter). In this paper we test this hypothesis by changing filter length and/or radius (shape) of the cylindrical selectivity filter of our reduced model. We show that varying volume and shape together has substantially stronger effects than varying shape alone with volume fixed. Our simulations show the importance of depletion zones of ions in determining channel conductance calculated with the integrated Nernst-Planck equation. We show that confining the protein side chains with soft or hard walls does not influence selectivity.
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Affiliation(s)
- Attila Malasics
- Department of Physical Chemistry, University of Pannonia, P. O. Box 158, H-8201 Veszprém, Hungary
| | - Dirk Gillespie
- Department of Molecular Biophysics and Physiology, Rush University Medical Center, Chicago, IL 60612
| | - Wolfgang Nonner
- Department of Physiology and Biophysics, Miller School of Medicine, University of Miami, Miami FL 33101
| | - Douglas Henderson
- Department of Chemistry and Biochemistry, Brigham Young University, Provo, UT 84602
| | - Bob Eisenberg
- Department of Molecular Biophysics and Physiology, Rush University Medical Center, Chicago, IL 60612
| | - Dezső Boda
- Department of Physical Chemistry, University of Pannonia, P. O. Box 158, H-8201 Veszprém, Hungary
- Department of Chemistry and Biochemistry, Brigham Young University, Provo, UT 84602
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24
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A theoretical study of the hydration of Rb+ by Monte Carlo simulations with refined ab initio-based model potentials. Theor Chem Acc 2009. [DOI: 10.1007/s00214-009-0644-7] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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25
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Dudev T, Lim C. Determinants of K+ vs Na+ selectivity in potassium channels. J Am Chem Soc 2009; 131:8092-101. [PMID: 19456150 DOI: 10.1021/ja900168k] [Citation(s) in RCA: 85] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Ion channels, specialized pore-forming proteins, are an indispensable component of the nervous system and play a crucial role in regulating cardiac, skeletal, and smooth muscle contraction. Potassium ion channels, controlling the action potential of a number of excitable cells, are characterized by a remarkable ability to select K(+) over Na(+). Although the molecular basis for this striking ion selectivity has been a subject of extensive investigations using both experimental and theoretical methods, the following outstanding questions remain: (a) To what extent is the number of water molecules bound to the permeating ion (i.e., the hydration number) important for the K(+)/Na(+) competition? (b) Are the chemical type and number of coordinating groups lining the pore critical for the selectivity process? (c) Apart from providing cation-ligating groups, do the channel walls play any other role in the selectivity process? This work reveals that the pore's selectivity for K(+) over Na(+) increases with (i) increasing hydration number of K(+) relative to that of Na(+), (ii) increasing number of K(+)-coordinating dipoles, (iii) increasing number of Na(+)-coordinating dipoles, and (iv) decreasing magnitude of the coordinating dipoles provided by the pore. Thus, a high K(+)/Na(+) selectivity in K(+) channels could be achieved from a combination of several favorable factors involving the native ion, the metal-coordinating ligands, and the protein matrix, viz., (a) an octahydrated permeating K(+), (b) a pore lined with 8 carbonyl ligands, and (c) finely tuned physicomechanical properties of the channel walls providing a low dielectric medium favoring a high hydration number for the permeating K(+) and enough stiffness to force the competing Na(+) to adopt an unfavorable 8-fold coordination. This implies that optimal K(+)/Na(+) selectivity in K(+) channels generally does not arise from solely structural or energetic consideration. The factors affecting ion selectivity revealed herein help to rationalize why valinomycin and the KcsA ion channels are highly K(+)-selective, whereas the NaK channel is nonselective. The calculations predict that other pores containing a different number/chemical type of coordinating groups from those observed in potassium channels could also select K(+) over Na(+).
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Affiliation(s)
- Todor Dudev
- Institute of Biomedical Sciences, Academia Sinica, Taipei 115, Taiwan
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26
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K+/Na+ selectivity in toy cation binding site models is determined by the 'host'. Biophys J 2009; 96:3887-96. [PMID: 19450462 DOI: 10.1016/j.bpj.2008.12.3963] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/06/2008] [Revised: 12/05/2008] [Accepted: 12/11/2008] [Indexed: 11/21/2022] Open
Abstract
The macroscopic ion-selective behavior of K(+) channels is mediated by a multitude of physiological factors. However, considering the carbonyl-lined binding site of a conductive K(+) channel as a canonical eightfold coordinated construct can be useful in understanding the principles that correlate the channel's structure with its function. We probe the effects of structure and chemical composition on the K(+)/Na(+) selectivity provided by a variety of simplified droplet-like ion binding site models. We find that when carbonyl- and water-based models capture the qualitative structural features of the K(+) channel binding site, a selective preference for K(+) emerges. Thus our findings suggest that the preference for K(+) over Na(+) exhibited by such models is principally built-in, and is not due to a unique K(+)-selective property of carbonyl functional groups. This suggestion is confirmed by a general thermodynamic assessment, which provides a basis for using simplified models to study the design principles underlying the molecular evolution of K(+) channels.
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27
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Using a five-state model for fitting amplitude histograms from MaxiK channels: beta-distributions reveal more than expected. EUROPEAN BIOPHYSICS JOURNAL: EBJ 2009; 38:1101-14. [PMID: 19626320 DOI: 10.1007/s00249-009-0515-0] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/23/2009] [Revised: 06/25/2009] [Accepted: 06/29/2009] [Indexed: 12/19/2022]
Abstract
Fast gating of ion channels with rate constants higher than the corner frequency of the recording set-up can be evaluated by fitting so-called beta distributions to measured amplitude histograms. Up to now, this was preferentially done for O-C Markov sub-models with one open and one closed state. Here, a fit of the amplitude histograms from MaxiK (BK) single-channel records was achieved with a five-state model with two open and three closed states including three open-close transitions with rate constants higher than the corner frequency (20 kHz) of the inevitable low-pass filter of the recording system. The numerical values of the rate constants of these transitions enabled a nearly one-to-one relationship between typical regions of the histograms and the reactions in the Markov model. These characteristic features are the width of the peak at the apparent single-channel current, the side slopes at the open and at the closed peak, and the depth of the valley between the two peaks. However, the simplex routine alone was incapable of finding the solution but could do so if guided by hand along a suggested strategy.
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28
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Interference of shot noise of open-channel current with analysis of fast gating: patchers do not (Yet) have to care. J Membr Biol 2009; 229:153-63. [PMID: 19551329 DOI: 10.1007/s00232-009-9183-3] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/07/2009] [Accepted: 06/02/2009] [Indexed: 12/25/2022]
Abstract
Microsecond gating of ion channels can be evaluated by fitting beta distributions to amplitude histograms of measured time series. The shape of these histograms is determined not only by the rate constants of the gating process (in relation to the filter frequency) but also by baseline noise and shot noise, resulting from the stochastic nature of ion flow. Under normal temporal resolution, the small shot noise can be ignored. This simplification may no longer be legitimate when rate constants reach the range above 1 mus(-1). Here, the influence of shot noise is studied by means of simulated time series for several values of single-channel current of the fully open state and baseline noise. Under realistic optimal conditions (16 pA current, 1 pA noise, 50 kHz bandwidth), ignoring the shot noise leads to an underestimation of the rate constants above 1 mus(-1) by a factor of about 2.5. However, in that range, the scatter of the evaluated rate constants is at least of the same magnitude, obscuring the systematic error. The incorporation of shot noise into the analysis will become more important when amplifiers with significantly reduced noise become available.
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29
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Dynamics, energetics, and selectivity of the low-K+ KcsA channel structure. J Mol Biol 2009; 389:637-45. [PMID: 19393663 DOI: 10.1016/j.jmb.2009.04.038] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/12/2009] [Revised: 04/17/2009] [Accepted: 04/20/2009] [Indexed: 11/21/2022]
Abstract
Potassium channels are a diverse family of integral membrane proteins through which K(+) can pass selectively. There is ongoing debate about the nature of conformational changes associated with the opening/closing and conductive/nonconductive states of potassium channels. The channels partly exert their function by varying their conductance through a mechanism known as C-type inactivation. Shortly after the activation of K(+) channels, their selectivity filter stops conducting ions at a rate that depends on various stimuli. The molecular mechanism of C-type inactivation has not been fully understood yet. However, the X-ray structure of the KcsA channel obtained in the presence of low K(+) concentration is thought to be representative of a K(+) channel in the C-type inactivated state. Here, extensive, fully atomistic molecular dynamics and free-energy simulations of the low-K(+) KcsA structure in an explicit lipid bilayer are performed to evaluate the stability of this structure and the selectivity of its binding sites. We find that the low-K(+) KcsA structure is stable on the timescale of the molecular dynamics simulations performed, and that ions preferably remain in S1 and S4. In the absence of ions, the selectivity filter evolves toward an asymmetric architecture, as already observed in other computations of the high-K(+) structure of KcsA and KirBac. The low-K(+) KcsA structure is not permeable by Na(+), K(+), or Rb(+), and the selectivity of its binding sites is different from that of the high-K(+) structure.
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30
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Varma S, Rempe SB. Structural transitions in ion coordination driven by changes in competition for ligand binding. J Am Chem Soc 2008; 130:15405-19. [PMID: 18954053 DOI: 10.1021/ja803575y] [Citation(s) in RCA: 63] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023]
Abstract
Transferring Na(+) and K(+) ions from their preferred coordination states in water to states having different coordination numbers incurs a free energy cost. In several examples in nature, however, these ions readily partition from aqueous-phase coordination states into spatial regions having much higher coordination numbers. Here we utilize statistical theory of solutions, quantum chemical simulations, classical mechanics simulations, and structural informatics to understand this aspect of ion partitioning. Our studies lead to the identification of a specific role of the solvation environment in driving transitions in ion coordination structures. Although ion solvation in liquid media is an exergonic reaction overall, we find it is also associated with considerable free energy penalties for extracting ligands from their solvation environments to form coordinated ion complexes. Reducing these penalties increases the stabilities of higher-order coordinations and brings down the energetic cost to partition ions from water into overcoordinated binding sites in biomolecules. These penalties can be lowered via a reduction in direct favorable interactions of the coordinating ligands with all atoms other than the ions themselves. A significant reduction in these penalties can, in fact, also drive up ion coordination preferences. Similarly, an increase in these penalties can lower ion coordination preferences, akin to a Hofmeister effect. Since such structural transitions are effected by the properties of the solvation phase, we anticipate that they will also occur for other ions. The influence of other factors, including ligand density, ligand chemistry, and temperature, on the stabilities of ion coordination structures are also explored.
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Affiliation(s)
- Sameer Varma
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA.
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