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Direct knock-on of desolvated ions governs strict ion selectivity in K+ channels

Abstract

The seeming contradiction that K+ channels conduct K+ ions at maximal throughput rates while not permeating slightly smaller Na+ ions has perplexed scientists for decades. Although numerous models have addressed selective permeation in K+ channels, the combination of conduction efficiency and ion selectivity has not yet been linked through a unified functional model. Here, we investigate the mechanism of ion selectivity through atomistic simulations totalling more than 400 μs in length, which include over 7,000 permeation events. Together with free-energy calculations, our simulations show that both rapid permeation of K+ and ion selectivity are ultimately based on a single principle: the direct knock-on of completely desolvated ions in the channels’ selectivity filter. Herein, the strong interactions between multiple ‘naked’ ions in the four filter binding sites give rise to a natural exclusion of any competing ions. Our results are in excellent agreement with experimental selectivity data, measured ion interaction energies and recent two-dimensional infrared spectra of filter ion configurations.

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Fig. 1: Ion selectivity of KcsA.
Fig. 2: Relationship between conduction efficiency, ion selectivity and water co-permeation.
Fig. 3: Calculated 2D IR spectrum for occupancy states characteristic of the direct Coulomb knock-on conduction mechanism.
Fig. 4: Schematic of the mechanisms of K+ ion selective and non-selective channel permeation.

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References

  1. Zhou, Y., Morais-Cabral, J. H., Kaufman, A. & MacKinnon, R. Chemistry of ion coordination and hydration revealed by a K+ channel–Fab complex at 2.0 A resolution. Nature 414, 43–48 (2001).

    Article  CAS  PubMed  Google Scholar 

  2. MacKinnon, R. Potassium channels and the atomic basis of selective ion conduction (Nobel Lecture). Angew. Chem. Int. Ed. 43, 4265–4277 (2004).

    Article  CAS  Google Scholar 

  3. Mullins, L. J. An analysis of conductance changes in squid axon. J. Gen. Physiol. 42, 1013–1035 (1959).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  4. Bezanilla, F. & Armstrong, C. M. Negative conductance caused by entry of sodium and cesium ions into the potassium channels of squid axons. J. Gen. Physiol. 60, 588–608 (1972).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  5. Hille, B. Potassium channels in myelinated nerve. Selective permeability to small cations. J. Gen. Physiol. 61, 669–686 (1973).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  6. Neyton, J. & Miller, C. Discrete Ba2 + block as a probe of ion occupancy and pore structure in the high-conductance Ca2 +-activated K+ channel. J. Gen. Physiol. 92, 569–586 (1988).

    Article  CAS  PubMed  Google Scholar 

  7. Nimigean, C. M. & Allen, T. W. Origins of ion selectivity in potassium channels from the perspective of channel block. J. Gen. Physiol. 137, 405–413 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  8. MacKinnon, R., Cohen, S. L., Kuo, A., Lee, A. & Chait, B. T. Structural conservation in prokaryotic and eukaryotic potassium channels. Science 280, 106–109 (1998).

    Article  CAS  PubMed  Google Scholar 

  9. Doyle, D. A. et al. The structure of the potassium channel: molecular basis of K+ conduction and selectivity. Science 280, 69–77 (1998).

    Article  CAS  PubMed  Google Scholar 

  10. Alberts, B. et al. Molecular Biology of the Cell 4th edn (Garland Science, New York, 2002).

  11. Steven, A., Baumeister, W., Johnson, L. N. & Perham, R. N. Molecular Biology of Assemblies and Machines (Garland Science, New York, 2016).

  12. Zhou, Y. & MacKinnon, R. The occupancy of ions in the K+ selectivity filter: charge balance and coupling of ion binding to a protein conformational change underlie high conduction rates. J. Mol. Biol. 333, 965–975 (2003).

    Article  CAS  PubMed  Google Scholar 

  13. Thompson, A. N. et al. Mechanism of potassium-channel selectivity revealed by Na+ and Li+ binding sites within the KcsA pore. Nat. Struct. Mol. Biol. 16, 1317–1324 (2009).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  14. Noskov, S. Y., Berneche, S. & Roux, B. Control of ion selectivity in potassium channels by electrostatic and dynamic properties of carbonyl ligands. Nature 431, 830–834 (2004).

    Article  CAS  PubMed  Google Scholar 

  15. Noskov, S. Y. & Roux, B. Ion selectivity in potassium channels. Biophys. Chem. 124, 279–291 (2006).

    Article  CAS  PubMed  Google Scholar 

  16. Aqvist, J. & Luzhkov, V. Ion permeation mechanism of the potassium channel. Nature 404, 881–884 (2000).

    Article  CAS  PubMed  Google Scholar 

  17. Medovoy, D., Perozo, E. & Roux, B. Multi-ion free energy landscapes underscore the microscopic mechanism of ion selectivity in the KcsA channel. Biochim. Biophys. Acta 1858, 1722–1732 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  18. Bostick, D. L. & Brooks, C. L. 3rd Selectivity in K+ channels is due to topological control of the permeant ion’s coordinated state. Proc. Natl Acad. Sci. USA 104, 9260–9265 (2007).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  19. Thomas, M., Jayatilaka, D. & Corry, B. The predominant role of coordination number in potassium channel selectivity. Biophys. J. 93, 2635–2643 (2007).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  20. Varma, S. & Rempe, S. B. Tuning ion coordination architectures to enable selective partitioning. Biophys. J. 93, 1093–1099 (2007).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  21. Shrivastava, I. H., Tieleman, D. P., Biggin, P. C. & Sansom, M. S. K+ versus Na+ ions in a K channel selectivity filter: a simulation study. Biophys. J. 83, 633–645 (2002).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  22. Fowler, P. W., Tai, K. & Sansom, M. S. The selectivity of K+ ion channels: testing the hypotheses. Biophys. J. 95, 5062–5072 (2008).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  23. Furini, S. & Domene, C. Selectivity and permeation of alkali metal ions in K+-channels. J. Mol. Biol. 409, 867–878 (2011).

    Article  CAS  PubMed  Google Scholar 

  24. Egwolf, B. & Roux, B. Ion selectivity of the KcsA channel: a perspective from multi-ion free energy landscapes. J. Mol. Biol. 401, 831–842 (2010).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  25. Kim, I. & Allen, T. W. On the selective ion binding hypothesis for potassium channels. Proc. Natl Acad. Sci. USA 108, 17963–17968 (2011).

    Article  PubMed  PubMed Central  Google Scholar 

  26. Jensen, M. O., Jogini, V., Eastwood, M. P. & Shaw, D. E. Atomic-level simulation of current–voltage relationships in single-file ion channels. J. Gen. Physiol. 141, 619–632 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  27. Kopfer, D. A. et al. Ion permeation in K+ channels occurs by direct Coulomb knock-on. Science 346, 352–355 (2014).

    Article  CAS  PubMed  Google Scholar 

  28. Furini, S. & Domene, C. Atypical mechanism of conduction in potassium channels. Proc. Natl Acad. Sci. USA 106, 16074–16077 (2009).

    Article  PubMed  PubMed Central  Google Scholar 

  29. Berneche, S. & Roux, B. Energetics of ion conduction through the K+ channel. Nature 414, 73–77 (2001).

    Article  CAS  PubMed  Google Scholar 

  30. Kratochvil, H. T. et al. Instantaneous ion configurations in the K+ ion channel selectivity filter revealed by 2D IR spectroscopy. Science 353, 1040–1044 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  31. Heer, F. T., Posson, D. J., Wojtas-Niziurski, W., Nimigean, C. M. & Berneche, S. Mechanism of activation at the selectivity filter of the KcsA K+ channel. eLife 6, e25844 (2017).

    Article  PubMed  PubMed Central  Google Scholar 

  32. LeMasurier, M., Heginbotham, L. & Miller, C. KcsA: it’s a potassium channel. J. Gen. Physiol. 118, 303–314 (2001).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  33. Heginbotham, L., LeMasurier, M., Kolmakova-Partensky, L. & Miller, C. Single Streptomyces lividans K+ channels: functional asymmetries and sidedness of proton activation. J. Gen. Physiol. 114, 551–560 (1999).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  34. Nimigean, C. M. & Miller, C. Na+ block and permeation in a K+ channel of known structure. J. Gen. Physiol. 120, 323–335 (2002).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  35. Valiyaveetil, F. I., Leonetti, M., Muir, T. W. & Mackinnon, R. Ion selectivity in a semisynthetic K+ channel locked in the conductive conformation. Science 314, 1004–1007 (2006).

    Article  CAS  PubMed  Google Scholar 

  36. Domene, C. & Furini, S. Dynamics, energetics, and selectivity of the low-K+ KcsA channel structure. J. Mol. Biol. 389, 637–645 (2009).

    Article  CAS  PubMed  Google Scholar 

  37. Shi, N., Ye, S., Alam, A., Chen, L. & Jiang, Y. Atomic structure of a Na+- and K+-conducting channel. Nature 440, 570–574 (2006).

    Article  CAS  PubMed  Google Scholar 

  38. Derebe, M. G. et al. Tuning the ion selectivity of tetrameric cation channels by changing the number of ion binding sites. Proc. Natl Acad. Sci. USA 108, 598–602 (2011).

    Article  PubMed  Google Scholar 

  39. Alam, A. & Jiang, Y. High-resolution structure of the open NaK channel. Nat. Struct. Mol. Biol. 16, 30–34 (2009).

    Article  CAS  PubMed  Google Scholar 

  40. Alam, A. & Jiang, Y. Structural analysis of ion selectivity in the NaK channel. Nat. Struct. Mol. Biol. 16, 35–41 (2009).

    Article  CAS  PubMed  Google Scholar 

  41. Derebe, M. G., Zeng, W., Li, Y., Alam, A. & Jiang, Y. Structural studies of ion permeation and Ca2 + blockage of a bacterial channel mimicking the cyclic nucleotide-gated channel pore. Proc. Natl Acad. Sci. USA 108, 592–597 (2011).

    Article  PubMed  Google Scholar 

  42. Sauer, D. B., Zeng, W., Canty, J., Lam, Y. & Jiang, Y. Sodium and potassium competition in potassium-selective and non-selective channels. Nat. Commun. 4, 2721 (2013).

    Article  CAS  PubMed  Google Scholar 

  43. Thomas, M., Jayatilaka, D. & Corry, B. Mapping the importance of four factors in creating monovalent ion selectivity in biological molecules. Biophys. J. 100, 60–69 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  44. Noskov, S. Y. & Roux, B. Importance of hydration and dynamics on the selectivity of the KcsA and NaK channels. J. Gen. Physiol. 129, 135–143 (2007).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  45. Shi, C. et al. A single NaK channel conformation is not enough for non-selective ion conduction. Nat. Commun. 9, 717 (2018).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  46. Furini, S. & Domene, C. Nonselective conduction in a mutated NaK channel with three cation-binding sites. Biophys. J. 103, 2106–2114 (2012).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  47. Lodish, H. et al. Molecular Cell Biology 5th edn (W. H. Freeman, New York, 2003).

  48. Zhekova, H. R., Ngo, V., da Silva, M. C., Salahub, D. & Noskov, S. Selective ion binding and transport by membrane proteins—a computational perspective. Coord. Chem. Rev. 345, 108–136 (2017).

    Article  CAS  Google Scholar 

  49. Payandeh, J., Scheuer, T., Zheng, N. & Catterall, W. A. The crystal structure of a voltage-gated sodium channel. Nature 475, 353–358 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  50. Roux, B. et al. Ion selectivity in channels and transporters. J. Gen. Physiol. 137, 415–426 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  51. Lockless, S. W. Structural and thermodynamic properties of selective ion binding in a K+ channel. PLoS Biol. 5, e121 (2007).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  52. Kutzner, C., Grubmuller, H., de Groot, B. L. & Zachariae, U. Computational electrophysiology: the molecular dynamics of ion channel permeation and selectivity in atomistic detail. Biophys. J. 101, 809–817 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  53. Kutzner, C. et al. Insights into the function of ion channels by computational electrophysiology simulations. Biochim. Biophys. Acta 1858, 1741–1752 (2016).

    Article  CAS  PubMed  Google Scholar 

  54. Roux, B. The membrane potential and its representation by a constant electric field in computer simulations. Biophys. J. 95, 4205–4216 (2008).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  55. Cuello, L. G., Jogini, V., Cortes, D. M. & Perozo, E. Structural mechanism of C-type inactivation in K+ channels. Nature 466, 203–208 (2010).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  56. Ye, S., Li, Y. & Jiang, Y. Novel insights into K+ selectivity from high-resolution structures of an open K+ channel pore. Nat. Struct. Mol. Biol. 17, 1019–1023 (2010).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  57. Van Der Spoel, D. et al. GROMACS: fast, flexible, and free. J. Comput. Chem. 26, 1701–1718 (2005).

    Article  CAS  PubMed  Google Scholar 

  58. Hess, B., Kutzner, C., van der Spoel, D. & Lindahl, E. GROMACS 4: algorithms for highly efficient, load-balanced, and scalable molecular simulation. J. Chem. Theory Comput. 4, 435–447 (2008).

    Article  CAS  PubMed  Google Scholar 

  59. Pronk, S. et al. GROMACS 4.5: a high-throughput and highly parallel open source molecular simulation toolkit. Bioinformatics 29, 845–854 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  60. Abraham, M. J. et al. GROMACS: high performance molecular simulations through multi-level parallelism from laptops to supercomputers. SoftwareX 1–2, 19–25 (2015).

    Article  Google Scholar 

  61. Sauer, D. B., Zeng, W., Raghunathan, S. & Jiang, Y. Protein interactions central to stabilizing the K+ channel selectivity filter in a four-sited configuration for selective K+ permeation. Proc. Natl Acad. Sci. USA 108, 16634–16639 (2011).

    Article  PubMed  PubMed Central  Google Scholar 

  62. Jansen, T. & Knoester, J. Nonadiabatic effects in the two-dimensional infrared spectra of peptides: application to alanine dipeptide. J. Phys. Chem. B 110, 22910–22916 (2006).

    Article  CAS  PubMed  Google Scholar 

  63. Liang, C. & Jansen, T. L. An efficient N3-scaling propagation scheme for simulating two-dimensional infrared and visible spectra. J. Chem. Theory Comput. 8, 1706–1713 (2012).

    Article  CAS  PubMed  Google Scholar 

  64. Shirts, M. R. & Chodera, J. D. Statistically optimal analysis of samples from multiple equilibrium states. J. Chem. Phys. 129, 124105 (2008).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  65. Klimovich, P. V., Shirts, M. R. & Mobley, D. L. Guidelines for the analysis of free energy calculations. J. Comput. Aided Mol. Des. 29, 397–411 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

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Acknowledgements

We thank H. Grubmüller, S. Bernèche, F. Heer and S. Llabrés for helpful discussions. This work was supported by the German Research Foundation through FOR 2518 ‘DynIon’, Project P5 (to W.K. and B.L.d.G), the Scottish Universities’ Physics Alliance (to U.Z.) and BBSRC training grant BB/J013072/1 (to O.N.V. and U.Z.). All data and analysis scripts are archived at the Max Planck Institute for Biophysical Chemistry archives and are available upon request.

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U.Z. and B.L.d.G. conceived and supervised the project. W.K. performed and analysed the ion channel simulations under ion gradients and voltage, free-energy simulations, and infrared spectral calculations. D.A.K performed and analysed the KcsA and initial MthK simulations. O.N.V. performed and analysed additional ion channel simulations under voltage. A.S.B. assisted with the infrared spectral calculations. T.L.C.J. designed and supervised the spectral infrared calculations. W.K., D.A.K., O.N.V. and U.Z. prepared the figures. U.Z., B.L.d.G. and W.K. wrote the manuscript with comments from all authors.

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Correspondence to Bert L. de Groot or Ulrich Zachariae.

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Supplementary Methods, Supplementary simulation data, Supplementary Figures 1–14 and Supplementary Tables 1–11

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Kopec, W., Köpfer, D.A., Vickery, O.N. et al. Direct knock-on of desolvated ions governs strict ion selectivity in K+ channels. Nature Chem 10, 813–820 (2018). https://doi.org/10.1038/s41557-018-0105-9

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