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  • 1
    Online Resource
    Online Resource
    Cambridge University Press (CUP) ; 2004
    In:  Quarterly Reviews of Biophysics Vol. 37, No. 1 ( 2004-02), p. 15-103
    In: Quarterly Reviews of Biophysics, Cambridge University Press (CUP), Vol. 37, No. 1 ( 2004-02), p. 15-103
    Abstract: 1. Introduction 17 2. Dynamics of many-body systems 19 2.1 Effective dynamics of reduced systems 21 2.2 The constraint of thermodynamic equilibrium 24 2.3 Mean-field theories 25 3. Solvation free energy and electrostatics 27 3.1 Microscopic view of the Born model 27 3.2 Ion–Ion interactions in bulk solution 29 3.3 Continuum electrostatics and the PB equation 29 3.4 Limitations of continuum dielectric models 32 3.5 The dielectric barrier 33 3.6 The transmembrane potential and the PB-V equation 35 4. Statistical mechanical equilibrium theory 40 4.1 Multi-ion PMF 40 4.2 Equilibrium probabilities of occupancy 43 4.3 Coupling to the membrane potential 44 4.4 Ionic selectivity 48 4.5 Reduction to a one-dimensional (1D) free-energy profile 49 5. From MD to I–V : a practical guide 50 5.1 Extracting the essential ingredients from MD 51 5.1.1 Channel conductance from equilibrium and non-equilibrium MD 51 5.1.2 PMF techniques 52 5.1.3 Friction and diffusion coefficient techniques 53 5.1.4 About computational times 55 5.2 Ion permeation models 56 5.2.1 The 1D-NP electrodiffusion theory 56 5.2.2 Discrete-state Markov chains 57 5.2.3 The GCMC/BD algorithm 58 5.2.4 PNP electrodiffusion theory 62 6. Computational studies of ion channels 63 6.1 Computational studies of gA 65 6.1.1 Free-energy surface for K + permeation 66 6.1.2 Mean-force decomposition 69 6.1.3 Cation-binding sites 69 6.1.4 Channel conductance 70 6.1.5 Selectivity 72 6.2 Computational studies of KcsA 72 6.2.1 Multi-ion free-energy surface and cation-binding sites 73 6.2.2 Channel conductance 74 6.2.3 Mechanism of ion conduction 77 6.2.4 Selectivity 78 6.3 Computational studies of OmpF 79 6.3.1 The need to compare the different level of approximations 79 6.3.2 Equilibrium protein fluctuations and ion distribution 80 6.3.3 Non-equilibrium ion fluxes 80 6.3.4 Reversal potential and selectivity 84 6.4 Successes and limitations 87 6.4.1 Channel structure 87 6.4.2 Ion-binding sites 87 6.4.3 Ion conduction 88 6.4.4 Ion selectivity 89 7. Conclusion 90 8. Acknowledgments 93 9. References 93 The goal of this review is to establish a broad and rigorous theoretical framework to describe ion permeation through biological channels. This framework is developed in the context of atomic models on the basis of the statistical mechanical projection-operator formalism of Mori and Zwanzig. The review is divided into two main parts. The first part introduces the fundamental concepts needed to construct a hierarchy of dynamical models at different level of approximation. In particular, the potential of mean force (PMF) as a configuration-dependent free energy is introduced, and its significance concerning equilibrium and non-equilibrium phenomena is discussed. In addition, fundamental aspects of membrane electrostatics, with a particular emphasis on the influence of the transmembrane potential, as well as important computational techniques for extracting essential information from all-atom molecular dynamics (MD) simulations are described and discussed. The first part of the review provides a theoretical formalism to ‘translate’ the information from the atomic structure into the familiar language of phenomenological models of ion permeation. The second part is aimed at reviewing and contrasting results obtained in recent computational studies of three very different channels; the gramicidin A (gA) channel, which is a narrow one-ion pore (at moderate concentration), the KcsA channel from Streptomyces lividans , which is a narrow multi-ion pore, and the outer membrane matrix porin F (OmpF) from Escherichia coli , which is a trimer of three β-barrel subunits each forming wide aqueous multi-ion pores. Comparison with experiments demonstrates that current computational models are approaching semi-quantitative accuracy and are able to provide significant insight into the microscopic mechanisms of ion conduction and selectivity. We conclude that all-atom MD with explicit water molecules can represent important structural features of complex biological channels accurately, including such features as the location of ion-binding sites along the permeation pathway. We finally discuss the broader issue of the validity of ion permeation models and an outlook to the future.
    Type of Medium: Online Resource
    ISSN: 0033-5835 , 1469-8994
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 2004
    detail.hit.zdb_id: 1474559-8
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  • 2
    Online Resource
    Online Resource
    EDP Sciences ; 2002
    In:  médecine/sciences Vol. 18, No. 5 ( 2002-05), p. 605-609
    In: médecine/sciences, EDP Sciences, Vol. 18, No. 5 ( 2002-05), p. 605-609
    Type of Medium: Online Resource
    ISSN: 0767-0974 , 1958-5381
    Language: French
    Publisher: EDP Sciences
    Publication Date: 2002
    detail.hit.zdb_id: 2049442-7
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  • 3
    Online Resource
    Online Resource
    CAIRN ; 2003
    In:  Décisions Marketing Vol. 29 ( 2003-01-01), p. 07-18
    In: Décisions Marketing, CAIRN, Vol. 29 ( 2003-01-01), p. 07-18
    Type of Medium: Online Resource
    ISSN: 0779-7389
    URL: Issue
    Language: Unknown
    Publisher: CAIRN
    Publication Date: 2003
    detail.hit.zdb_id: 2405667-4
    SSG: 3,2
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  • 4
    Online Resource
    Online Resource
    Elsevier BV ; 2000
    In:  Biophysical Journal Vol. 78, No. 6 ( 2000-06), p. 2900-2917
    In: Biophysical Journal, Elsevier BV, Vol. 78, No. 6 ( 2000-06), p. 2900-2917
    Type of Medium: Online Resource
    ISSN: 0006-3495
    Language: English
    Publisher: Elsevier BV
    Publication Date: 2000
    detail.hit.zdb_id: 1477214-0
    SSG: 12
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  • 5
    In: Journal of Magnetic Resonance Imaging, Wiley, Vol. 15, No. 6 ( 2002-06), p. 654-660
    Abstract: To compare the reproducibility of left ventricular (LV) mass measurements using a black‐blood half‐Fourier single‐shot fast spin‐echo (SSFSE) and a segmented gradient echo magnetic resonance (MR) pulse sequence. Material and Methods Breath‐hold SSFSE and segmented gradient echo cardiac MR examinations were performed twice in 32 patients and manual detection of the LV endocardium and epicardium was applied by two blinded reviewers. The SSFSE pulse sequence allowed whole‐heart coverage in a single breath hold, while multiple breath holds were required using the segmented gradient echo sequence. Spatial presaturation slabs were used with the SSFSE pulse sequence to reduce the field of view (FOV) and thereby achieve higher spatial resolution. Results Intraclass correlation coefficients were higher with the SSFSE pulse sequence than with the segmented gradient echo pulse sequence: intraobserver reproducibility reached 0.999 vs. 0.991; interobserver reproducibility: 0.997 vs. 0.981; and interstudy reproducibility: 0.998 vs. 0.936. These higher levels of reproducibility were confirmed on Bland and Altman plots. Conclusion LV mass measurements can be assessed more reproducibly with the single breath‐hold SSFSE technique than with the standard multiple breath‐hold segmented gradient echo method. J. Magn. Reson. Imaging 2002;15:654–660. © 2002 Wiley‐Liss, Inc.
    Type of Medium: Online Resource
    ISSN: 1053-1807 , 1522-2586
    URL: Issue
    Language: English
    Publisher: Wiley
    Publication Date: 2002
    detail.hit.zdb_id: 1497154-9
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  • 6
    Online Resource
    Online Resource
    Elsevier BV ; 2002
    In:  Biophysical Journal Vol. 82, No. 3 ( 2002-03), p. 1681-1684
    In: Biophysical Journal, Elsevier BV, Vol. 82, No. 3 ( 2002-03), p. 1681-1684
    Type of Medium: Online Resource
    ISSN: 0006-3495
    Language: English
    Publisher: Elsevier BV
    Publication Date: 2002
    detail.hit.zdb_id: 1477214-0
    SSG: 12
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  • 7
    Online Resource
    Online Resource
    Rockefeller University Press ; 2001
    In:  The Journal of General Physiology Vol. 118, No. 2 ( 2001-08-01), p. 207-218
    In: The Journal of General Physiology, Rockefeller University Press, Vol. 118, No. 2 ( 2001-08-01), p. 207-218
    Abstract: TEA is a classical blocker of K+ channels. From mutagenesis studies, it has been shown that external blockade by TEA is strongly dependent upon the presence of aromatic residue at Shaker position 449 which is located near the extracellular entrance to the pore (Heginbotham, L., and R. MacKinnon. 1992. Neuron. 8:483–491). The data suggest that TEA interacts simultaneously with the aromatic residues of the four monomers. The determination of the 3-D structure of the KcsA channel using X-ray crystallography (Doyle, D.A., J.M. Cabral, R.A. Pfuetzner, A. Kuo, J.M. Gulbis, S.L. Cohen, B.T. Chait, and R. MacKinnon. 1998. Science. 280:69–77) has raised some issues that remain currently unresolved concerning the interpretation of these observations. In particular, the center of the Tyr82 side chains in KcsA (corresponding to position 449 in Shaker) forms a square of 11.8-Å side, a distance which is too large to allow simultaneous interactions of a TEA molecule with the four aromatic side chains. In this paper, the external blockade by TEA is explored by molecular dynamics simulations of an atomic model of KcsA in an explicit phospholipid bilayer with aqueous salt solution. It is observed, in qualitative accord with the experimental results, that TEA is stable when bound to the external side of the wild-type KcsA channel (with Tyr82), but is unstable when bound to a mutant channel in which the tyrosine residue has been substituted by a threonine. The free energy profile of TEA relative to the pore is calculated using umbrella sampling simulations to characterize quantitatively the extracellular blockade. It is found, in remarkable agreement with the experiment, that the TEA is more stably bound by 2.3 kcal/mol to the channel with four tyrosine residues. In the case of the wild-type KcsA channel, TEA (which has the shape of a flattened oblate spheroid) acts as an ideal plug blocking the pore. In contrast, it is considerably more off-centered and tilted in the case of the mutant channel. The enhanced stability conferred by the tyrosine residues does not arise from Π–cation interactions, but appears to be due to differences in the hydration structure of the TEA. Finally, it is shown that the experimentally observed voltage dependence of TEA block, which is traditionally interpreted in terms of the physical position of the TEA along the axis of the pore, must arise indirectly via coupling with the ions in the pore.
    Type of Medium: Online Resource
    ISSN: 0022-1295 , 1540-7748
    Language: English
    Publisher: Rockefeller University Press
    Publication Date: 2001
    detail.hit.zdb_id: 1477246-2
    SSG: 12
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  • 8
    In: Journal of Molecular Biology, Elsevier BV, Vol. 318, No. 1 ( 2002-4), p. 9-20
    Type of Medium: Online Resource
    ISSN: 0022-2836
    Language: English
    Publisher: Elsevier BV
    Publication Date: 2002
    detail.hit.zdb_id: 1355192-9
    SSG: 12
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  • 9
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 2000
    In:  European Biophysics Journal Vol. 29, No. 6 ( 2000-09-22), p. 439-454
    In: European Biophysics Journal, Springer Science and Business Media LLC, Vol. 29, No. 6 ( 2000-09-22), p. 439-454
    Type of Medium: Online Resource
    ISSN: 0175-7571
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2000
    detail.hit.zdb_id: 1398349-0
    SSG: 12
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  • 10
    Online Resource
    Online Resource
    Informa UK Limited ; 2004
    In:  Australian Journal of Forensic Sciences Vol. 36, No. 1 ( 2004-01), p. 34-43
    In: Australian Journal of Forensic Sciences, Informa UK Limited, Vol. 36, No. 1 ( 2004-01), p. 34-43
    Type of Medium: Online Resource
    ISSN: 0045-0618 , 1834-562X
    Language: English
    Publisher: Informa UK Limited
    Publication Date: 2004
    detail.hit.zdb_id: 2296131-8
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