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Biophys J, July 2002, p. 2-4, Vol. 83, No. 1

NEW AND NOTABLE
Unclogging a Pipe: Potassium Channel Pinball

Peter C. Jordan

Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454-9110 USA

    ARTICLE

Ion channels are characterized by three main properties: their gating characteristics, their selectivities, and their conductivity patterns. The crystal structure of the KcsA potassium channel pore (Doyle et al., 1998) provided immediate qualitative answers to most questions about potassium channel selectivity. It has led to an explosion of computational papers that illustrate in great detail how the various structural features function to exclude anions, stabilize cations, select for potassium over sodium, and promote divalent block. What remains wide open is understanding their enormous diversity: they are gated in many ways and differ greatly in their conductance behavior. Selective potassium channels have five strictly conserved residues (the signature sequence) and similar inner helix sequences, motifs that form the filter and the mid-channel aqueous cavity. These features promote multi-ion stabilization, a property initially deduced by Hodgkin and Keynes (1955). Regardless of their gating mechanisms, they exhibit wide-ranging electrical properties. Maximal conductivities span a nearly 100-fold range.

The crystallographic pore structure represents the channel in a closed state, the constriction on the intracellular side (the inner pore) being too narrow to permit ion (or water) passage. As has been pointed out repeatedly, structural modification of this inner pore is required for current to flow. In this issue, Chung et al. (2002) provide a reasonable and intuitive, albeit speculative, proposal for specific changes that could account for the broad spread of limiting conductances. The finding is striking: a small adjustment of the inner pore radius drastically alters channel resistivity.

In a series of papers Chung and his coworkers have exploited the advantages of Brownian dynamics (BD) to monitor ionic movement through channels and mimic experimentally observed current-voltage-concentration (I-V-c) profiles. The great virtue of BD is that, unlike molecular dynamics, large (picosecond) time steps can be used so that, with ultra-high-speed computers, multiple simulations can be run for hundreds of nanoseconds, long enough to ensure statistical reliability and observe repeated ion passage through the pore, thus generating sets of concentration dependent I-V curves. Of course, much molecular detail is suppressed with simplification. In applications to the potassium channel, the protein is replaced by a few selected electrical features probably common to all such channels (the oxygen containing dipolar moieties forming the selectivity filter, the macrodipoles oriented toward the aqueous cavity, and acidic guard groups at each mouth) embedded in a low dielectric milieu. The aqueous pore becomes a high dielectric viscous continuum, in which the filter radius is fixed, and the radius of the inner pore and both pore mouths are adjustable. In contrast to continuum treatments like Poisson-Nernst-Planck modeling (Eisenberg, 1999), ions are charged spheres of finite size, assigned their crystal radii. This aspect of the model permits quite rigorous treatment of two crucial features: ionic repulsion and dielectric variability. From the Brownian perspective ion movement is basically electrodiffusive, driven by the potential due to the fixed model charges and the applied voltage, subject to a diffusive viscous drag, to random forces mimicking thermal coupling to the surroundings, to inter-ionic repulsion and to reaction fields induced by dielectric variation.

Previous work with this model showed that BD provides a semiquantitative description of potassium conductance. The mechanism for controlling ionic currents turns out to be marvelously simple. It hinges first and foremost on the filter and mid-channel aqueous cavity being a region of high negative charge density, always multiply cation occupied. In effect the channel is blocked by its own permeant ions. Conduction entails relief of this block. Outward conductance requires an ion to enter the inner pore, penetrate the filter and drive out one of the resident ions. For inward conductance an ion must exit the filter region and traverse the inner pore. In all cases, glutamates at the inner pore entrance form an ion-binding site. The inner pore is ionophobic. As an ion moves outward from the glutamates it must surmount a substantial energy barrier until it is attracted by the field of the macrodipoles surrounding the mid-channel cavity; it then accelerates rapidly, enters the filter and effects conduction by knock-off. Inward movement begins by overpopulating the filter; the extra ion then surmounts the pore's internal barrier, resides near the inner mouth glutamates, and ultimately escapes. Increasing the inner pore radius reduces its ionophobic barrier height, thus increasing current flow in either direction. A change from 2 to 2.5 Å would drop the barrier by almost 4 kT, leading to a nearly 25-fold increase in current. Small alterations in inner pore radius can account for the great diversity in potassium channel conductances.

The paper makes predictions about rectification (unidirectional ion passage). According to Chung et al. (2002), were the inner mouth glutamates fully protonated there would be essentially no outward current; presumably without charged sites to attract ions they wouldn't enter the pore from the intracellular side. Inward current would still flow because escape from the central cavity and overcoming the pore's internal barrier is rate-limiting; the charge state of inner mouth guard groups matters little here. What about modifying the aspartates at the outer mouth? Complete protonation would make the channel slightly outwardly rectifying, but the effect would be much less dramatic. Unlike at the inner mouth, where guard groups are the sole force promoting ion entry, entrance at the outer mouth also reflects the influence of the filter field.

However, all is not sweetness and light. The model predicts superlinear I-V relationships, which would seem contradicted by most experiments, although not all. But this may reflect the presence of exogenous blockers rather than the electrodiffusive properties of the channel itself. Inward rectification involves interaction of Mg2+ or polyvalent amines with acidic sites (Lu and MacKinnon, 1994; Lopatin et al., 1994). Could discharging guard groups contribute as well?

Where do we stand now? The results presented here provide a further powerful incentive for intensive experimental study of potassium channels (as if one were needed). The basic observation, that inner pore size determines ionic current, should encourage development of improved molecular calipers for sizing inner pores of potassium channels, similar to work already under way (Guo and Lu, 2001). What about rectification? The polyamine data suggest that the picture is complex and that there are other acidic sites deeper within the pore. Possibly these affect both ion entry into and the ionic energy profile within the inner pore. Could the prediction of outward rectification by discharging the outer mouth aspartates be observed? If so, it would provide powerful confirmation for the basic model. A more detailed study of high field currents is surely worthwhile. At the very least it would critically test the model presented here. It might provide direct evidence for high field block.

This mechanism may not be limited to potassium channels. The sequence homologies among potassium, calcium, and sodium channels suggest they have similar architectures. Calcium channels exhibit rectification and require multiple ion occupancy for calcium flow. Calcium channel conductances span a 10-fold range and sodium channels a 5-fold one. Does access to the selectivity region in these two families also involve ionic diffusion through a long ionophobic pore? BD has already been used to describe coupled Na and Ca movement in model pores. Might changes in the diameter of the (putative) long inner pore influence channel resistance much as it seems to in potassium channels? Could altering the charge of guard groups also influence rectification? Of course modeling calcium and sodium channels is much more speculative. At least we have a potassium channel pore structure. Still, there are homology models based on analogies with known KcsA features. While these do not agree on the details of the selectivity filter, the BD treatment of potassium channels indicates that understanding resistivity hinges on getting the general picture right. Conductance, unlike selection, is not sensitive to slight structural change in the filter. Even if a picture suggested by theory were not precisely correct, intelligent speculation is a goad for more intense experimental scrutiny. And sometimes theory gets it right.

This work was supported by National Institutes of Health grant GM-28643.

    FOOTNOTES

Address reprint requests to Peter C. Jordan, Department of Chemistry, MS-015, Brandeis University, P.O. Box 549110, Waltham, MA 02454-9110. Tel.: 781-736-2540; Fax: 781-736-2516; E-mail: jordan{at}brandeis.edu.

Submitted March 12, 2002, and accepted for publication March 14, 2002.

    REFERENCES

Biophys J, July 2002, p. 2-4, Vol. 83, No. 1
© 2002 by the Biophysical Society   0006-3495/02/07/02/03  $2.00



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