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In recent years, it has become clear that intrinsically disordered protein segments play diverse functional roles in many cellular processes, thus leading to a reassessment of the classical structure-function paradigm. One class of intrinsically disordered protein segments is entropic clocks, corresponding to unstructured random protein chains involved in timing cellular processes. Such clocks were shown to modulate ion channel processes underlying action potential generation, propagation, and transmission. In this review, we survey the role of entropic clocks in timing intra- and inter-molecular binding events of voltage-activated potassium channels involved in gating and clustering processes, respectively, and where both are known to occur according to a similar 'ball and chain' mechanism. We begin by delineating the thermodynamic and timing signatures of a 'ball and chain'-based binding mechanism involving entropic clocks, followed by a detailed analysis of the use of such a mechanism in the prototypical Shaker voltage-activated K + channel model protein, with particular emphasis on ion channel clustering. We demonstrate how 'chain'-level alternative splicing of the Kv channel gene modulates entropic clock-based 'ball and chain' inactivation and clustering channel functions. As such, the Kv channel model system exemplifies how linkage between alternative splicing and intrinsic disorder enables the functional diversity underlying changes in electrical signaling.

Scaffold protein-mediated voltage-dependent ion channel clustering at unique membrane sites, such as nodes of Ranvier or the post-synaptic density plays an important role in determining action potential properties and information coding. Yet, the mechanism(s) by which scaffold protein-ion channel interactions lead to channel clustering and how cluster ion channel density is regulated are mostly unknown. This molecular-cellular gap in understanding channel clustering can be bridged in the case of the prototypical Shaker voltage-activated potassium channel (Kv), as the mechanism underlying the interaction of this channel with its PSD-95 scaffold protein partner is known. According to this mechanism, changes in the length of the intrinsically disordered channel C-terminal chain, brought about by alternative splicing to yield the short A and long B chain subunit variants, dictate affinity to PSD-95 and further controls cluster homo-tetrameric Kv channel density. These results raise the hypothesis that heteromeric subunit assembly serves as a means to regulate Kv channel clustering. Since both clustering variants are expressed in similar fly tissues, it is reasonable to assume that hetero-tetrameric channels carrying different numbers of high- ( A ) and low-affinity ( B ) subunits could assemble, thereby giving rise to distinct cluster Kv channel densities. Here, we tested this hypothesis using high-resolution microscopy, combined with quantitative clustering analysis. Our results reveal that the A and B clustering variants can indeed assemble to form heteromeric channels and that controlling the number of the high-affinity A subunits within the hetero-oligomer modulates cluster Kv channel density. The implications of these findings for electrical signaling are discussed., Competing Interests: The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest., (Copyright © 2023 Nsasra, Peretz, Orr and Yifrach.)

Correction for 'Live cell single molecule tracking and localization microscopy of bioorthogonally labeled plasma membrane proteins' by Andres I. König et al., Nanoscale, 2020, 12, 3236-3248, DOI: 10.1039/C9NR08594G.

Scaffold protein-mediated ion channel clustering at unique membrane sites is important for electrical signaling. Yet, the mechanism(s) by which scaffold protein-ion channel interactions lead to channel clustering or how cluster ion channel density is regulated is mostly not known. The voltage-activated potassium channel (Kv) represents an excellent model to address these questions as the mechanism underlying its interaction with the post-synaptic density 95 (PSD-95) scaffold protein is known to be controlled by the length of the extended 'ball and chain' sequence comprising the C-terminal channel region. Here, using sub-diffraction high-resolution imaging microscopy, we show that Kv channel 'chain' length regulates Kv channel density with a 'bell'-shaped dependence, reflecting a balance between thermodynamic considerations controlling 'chain' recruitment by PSD-95 and steric hindrance due to the spatial proximity of multiple channel molecules. Our results thus reveal an entropy-based mode of channel cluster density regulation that mirrors the entropy-based regulation of the Kv channel-PSD-95 interaction. The implications of these findings for electrical signaling are discussed.

Tracking the localization and mobility of individual proteins in live cells is key for understanding how they mediate their function. Such information can be obtained from single molecule imaging techniques including as Single Particle Tracking (SPT) and Single Molecule Localization Microscopy (SMLM). Genetic code expansion (GCE) combined with bioorthogonal chemistry offers an elegant approach for direct labeling of proteins with fluorescent dyes, holding great potential for improving protein labeling in single molecule applications. Here we calibrated conditions for performing SPT and live-SMLM of bioorthogonally labeled plasma membrane proteins in live mammalian cells. Using SPT, the diffusion of bioorthogonally labeled EGF receptor and the prototypical Shaker voltage-activated potassium channel (Kv) was measured and characterized. Applying live-SMLM to bioorthogonally labeled Shaker Kv channels enabled visualizing the plasma membrane distribution of the channel over time with ∼30 nm accuracy. Finally, by competitive labeling with two Fl-dyes, SPT and live-SMLM were performed in a single cell and both the density and dynamics of the EGF receptor were measured at single molecule resolution in subregions of the cell. We conclude that GCE and bioorthogonal chemistry is a highly suitable, flexible approach for protein labeling in quantitative single molecule applications that outperforms current protein live-cell labeling approaches.

The clustering of many voltage-dependent ion channel molecules at unique neuronal membrane sites such as axon initial segments, nodes of Ranvier, or the post-synaptic density, is an active process mediated by the interaction of ion channels with scaffold proteins and is of immense importance for electrical signaling. Growing evidence indicates that the density of ion channels at such membrane sites may affect action potential conduction properties and synaptic transmission. However, despite the emerging importance of ion channel density for electrical signaling, how ion channel-scaffold protein molecular interactions lead to cellular ion channel clustering, and how this process is regulated are largely unknown. In this review, we emphasize that voltage-dependent ion channel density at native clustering sites not only affects the density of ionic current fluxes but may also affect the conduction properties of the channel and/or the physical properties of the membrane at such locations, all changes that are expected to affect action potential conduction properties. Using the concrete example of the prototypical Shaker voltage-activated potassium channel (Kv) protein, we demonstrate how insight into the regulation of cellular ion channel clustering can be obtained when the molecular mechanism of ion channel-scaffold protein interaction is known. Our review emphasizes that such mechanistic knowledge is essential, and when combined with super-resolution imaging microscopy, can serve to bridge the molecular-cellular gap in understanding the regulation of ion channel clustering. Pressing questions, challenges and future directions in addressing ion channel clustering and its regulation are discussed., (Copyright © 2020 Nirenberg and Yifrach.)

Hemoglobin (Hb) represents a model protein to study molecular adaptation in vertebrates. Although both affinity and cooperativity of oxygen binding to Hb affect tissue oxygen delivery, only the former was thought to determine molecular adaptations of Hb. Here, we suggest that Hb affinity and cooperativity reflect evolutionary and physiological adaptions that optimized tissue oxygen delivery. To test this hypothesis, we derived the relationship between the Hill coefficient and the relative affinity and conformational changes parameters of the Monod-Wymann-Changeux allosteric model and graphed the 'biophysical Hill landscape' describing this relation. We found that mammalian Hb cooperativity values all reside on a ridge of maximum cooperativity along this landscape that allows for both gross- and fine-tuning of tissue oxygen unloading to meet the distinct metabolic requirements of mammalian tissues for oxygen. Our findings reveal the mechanism underlying body size-related adaptation of mammalian Hb. The generality and implications of our findings are discussed., Competing Interests: OR, OY No competing interests declared, (© 2019, Rapp and Yifrach.)

The fast inactivation and clustering functions of voltage-dependent potassium channels play fundamental roles in electrical signaling. Recent evidence suggests that both these distinct channel functions rely on intrinsically disordered N- and C-terminal cytoplasmic segments that function as entropic clocks to time channel inactivation or scaffold protein-mediated clustering, both relying on what can be described as a "ball and chain" binding mechanism. Although the mechanisms employed in each case are seemingly analogous, both were put forward based on bulky chain deletions and further exhibit differences in reaction order. These considerations raised the question of whether the molecular mechanisms underlying Kv channel fast inactivation and clustering are indeed analogous. By taking a "chain"-level chimeric channel approach involving long and short spliced inactivation or clustering "chain" variants of the Shaker Kv channel, we demonstrate the ability of native inactivation and clustering "chains" to substitute for each other in a length-dependent manner, as predicted by the "ball and chain" mechanism. Our results thus provide direct evidence arguing that the two completely unrelated Shaker Kv channel processes of fast inactivation and clustering indeed occur according to a similar molecular mechanism., (Copyright © 2018 Elsevier Ltd. All rights reserved.)

Hemoglobin is a classical model allosteric protein. Research on hemoglobin parallels the development of key cooperativity and allostery concepts, such as the 'all-or-none' Hill formalism, the stepwise Adair binding formulation and the concerted Monod-Wymann-Changuex (MWC) allosteric model. While it is clear that the MWC model adequately describes the cooperative binding of oxygen to hemoglobin, rationalizing the effects of H+, CO2 or organophosphate ligands on hemoglobin-oxygen saturation using the same model remains controversial. According to the MWC model, allosteric ligands exert their effect on protein function by modulating the quaternary conformational transition of the protein. However, data fitting analysis of hemoglobin oxygen saturation curves in the presence or absence of inhibitory ligands persistently revealed effects on both relative oxygen affinity (c) and conformational changes (L), elementary MWC parameters. The recent realization that data fitting analysis using the traditional MWC model equation may not provide reliable estimates for L and c thus calls for a re-examination of previous data using alternative fitting strategies. In the current manuscript, we present two simple strategies for obtaining reliable estimates for MWC mechanistic parameters of hemoglobin steady-state saturation curves in cases of both evolutionary and physiological variations. Our results suggest that the simple MWC model provides a reasonable description that can also account for heterotropic interactions in hemoglobin. The results, moreover, offer a general roadmap for successful data fitting analysis using the MWC model.

Electrical signaling in the nervous system relies on action potential generation, propagation and transmission. Such processes are dynamic in nature and rely on precisely timed events associated with voltage-dependent ion channel conformational transitions between their primary open, closed and inactivated states and clustering at unique membrane sites. In voltage-dependent potassium (Kv) channels, fast inactivation and clustering processes rely on entropic clock chains as described by 'ball and chain' mechanisms, suggesting important roles for such chains in electrical signaling. Here, we consider evidence supporting the proposed 'ball and chain' mechanisms for Kv channel fast inactivation and clustering associated with intrinsically disordered N- and C-terminal regions of the protein, respectively. Based on this comparison, we delineate the requirements that argue for such a process and establish the thermodynamic signature of a 'ball and chain' mechanism. Finally, we demonstrate how 'chain'-level alternative splicing of the Kv channel gene modulates the entropic clock-based 'ball and chain' inactivation and clustering channel functions underlying changes in electrical signaling. As such, the Kv channel model system exemplifies how linkage between alternative splicing and intrinsic disorder enables functional diversity., (Copyright © 2015 Federation of European Biochemical Societies. Published by Elsevier B.V. All rights reserved.)

Ion channel clustering at the post-synaptic density serves a fundamental role in action potential generation and transmission. Here, we show that interaction between the Shaker Kv channel and the PSD-95 scaffold protein underlying channel clustering is modulated by the length of the intrinsically disordered C terminal channel tail. We further show that this tail functions as an entropic clock that times PSD-95 binding. We thus propose a 'ball and chain' mechanism to explain Kv channel binding to scaffold proteins, analogous to the mechanism describing channel fast inactivation. The physiological relevance of this mechanism is demonstrated in that alternative splicing of the Shaker channel gene to produce variants of distinct tail lengths resulted in differential channel cell surface expression levels and clustering metrics that correlate with differences in affinity of the variants for PSD-95. We suggest that modulating channel clustering by specific spatial-temporal spliced variant targeting serves a fundamental role in nervous system development and tuning.

The tight electro-mechanical coupling between the voltage-sensing and pore domains of Kv channels lies at the heart of their fundamental roles in electrical signaling. Structural data have identified two voltage sensor pore inter-domain interaction surfaces, thus providing a framework to explain the molecular basis for the tight coupling of these domains. While the contribution of the intra-subunit lower domain interface to the electro-mechanical coupling that underlies channel opening is relatively well understood, the contribution of the inter-subunit upper interface to channel gating is not yet clear. Relying on energy perturbation and thermodynamic coupling analyses of tandem-dimeric Shaker Kv channels, we show that mutation of upper interface residues from both sides of the voltage sensor-pore domain interface stabilizes the closed channel state. These mutations, however, do not affect slow inactivation gating. We, moreover, find that upper interface residues form a network of state-dependent interactions that stabilize the open channel state. Finally, we note that the observed residue interaction network does not change during slow inactivation gating. The upper voltage sensing-pore interaction surface thus only undergoes conformational rearrangements during channel activation gating. We suggest that inter-subunit interactions across the upper domain interface mediate allosteric communication between channel subunits that contributes to the concerted nature of the late pore opening transition of Kv channels.

Long-range coupling between distant functional elements of proteins may rely on allosteric communication trajectories lying along the protein structure, as described in the case of the Shaker voltage-activated potassium (Kv) channel model allosteric system. Communication between the distant Kv channel activation and slow inactivation pore gates was suggested to be mediated by a network of local pairwise and higher-order interactions among the functionally unique residues that constitute the allosteric trajectory. The mechanism by which conformational changes propagate along the Kv channel allosteric trajectory to achieve pore opening, however, remains unclear. Such conformational changes may propagate in either a concerted or a sequential manner during the reaction coordinate of channel opening. Residue-level structural information on the transition state of channel gating is required to discriminate between these possibilities. Here, we combine patch-clamp electrophysiology recordings of Kv channel gating and analysis using linear free-energy relations, focusing on a select set of residues spanning the allosteric trajectory of the Kv channel pore. We show that all allosteric trajectory residues tested exhibit an open-like conformation in the transition state of channel opening, implying that coupling interactions occur along the trajectory break in a concerted manner upon moving from the closed to the open state. Energetic coupling between the Kv channel gates thus occurs in a concerted fashion in both the spatial and the temporal dimensions, strengthening the notion that such trajectories correspond to pathways of mechanical deformation along which conformational changes propagate., (Copyright © 2010 Elsevier Ltd. All rights reserved.)

Vesicular zinc transporters (ZnTs) play a critical role in regulating Zn2+ homeostasis in various cellular compartments and are linked to major diseases ranging from Alzheimer disease to diabetes. Despite their importance, the intracellular localization of ZnTs poses a major challenge for establishing the mechanisms by which they function and the identity of their ion binding sites. Here, we combine fluorescence-based functional analysis and structural modeling aimed at elucidating these functional aspects. Expression of ZnT5 was followed by both accelerated removal of Zn2+ from the cytoplasm and its increased vesicular sequestration. Further, activity of this zinc transport was coupled to alkalinization of the trans-Golgi network. Finally, structural modeling of ZnT5, based on the x-ray structure of the bacterial metal transporter YiiP, identified four residues that can potentially form the zinc binding site on ZnT5. Consistent with this model, replacement of these residues, Asp599 and His451, with alanine was sufficient to block Zn2+ transport. These findings indicate, for the first time, that Zn2+ transport mediated by a mammalian ZnT is catalyzed by H+/Zn2+ exchange and identify the zinc binding site of ZnT proteins essential for zinc transport.

Allosteric regulation of protein function is often achieved by changes in protein conformation induced by changes in chemical or electrical potential. In multisubunit proteins, such conformational changes may give rise to cooperativity in ligand binding. Conformational changes between open and closed states are central to the function of voltage-activated potassium (Kv) channel proteins, homotetrameric pore-forming membrane proteins involved in generating and shaping action potentials in excitable cells. Accessible to extremely high signal-to-noise ratio in functional measurements, combined with the availability of high-resolution structural data for different conformations of the protein, the Kv channel represents an excellent allosteric model system to further understand the aspects of synergism and cooperative effects in protein function. In this chapter, we demonstrate how the use of the simple law of mass action combined with thermodynamic mutant cycle energetic coupling analysis of Kv channel gating can be used to provide valuable information regarding (1) how cooperativity in Kv channel pore opening can be assessed; (2) how one can directly discriminate whether conformational transitions during Kv channel pore opening occur in a concerted or sequential manner; and (3) how mechanistically, the coupling between distant activation gate and selectivity filter functional elements of the prototypical Shaker Kv channel protein might be achieved. In addition to providing valuable insight into the function of this important protein, the conclusions reached at using high-order thermodynamic energetic coupling analysis applied to the Kv channel allosteric model system reveal much about the function of allosteric proteins, in general., (Copyright © 2009 Elsevier Inc. All rights reserved.)

Voltage-activated (Kv) and leak (K(2P)) K(+) channels have key, yet distinct, roles in electrical signaling in the nervous system. Here we examine how differences in the operation of the activation and slow inactivation pore gates of Kv and K(2P) channels underlie their unique roles in electrical signaling. We report that (i) leak K(+) channels possess a lower activation gate, (ii) the activation gate is an important determinant controlling the conformational stability of the K(+) channel pore, (iii) the lower activation and upper slow inactivation gates of leak channels cross-talk and (iv) unlike Kv channels, where the two gates are negatively coupled, these two gates are positively coupled in K(2P) channels. Our results demonstrate how basic thermodynamic properties of the K(+) channel pore, particularly conformational stability and coupling between gates, underlie the specialized roles of Kv and K(2P) channel families in electrical signaling.

The enzyme threonine deaminase (TD) is a key regulatory enzyme in the pathway for the biosynthesis of isoleucine. TD is inhibited by its end product, isoleucine, and this effect is countered by valine, the product of a competing biosynthetic pathway. Sequence and structure analyses have revealed that the protomers of many TDs have C-terminal regulatory domains, composed of two ACT-like subdomains, which bind isoleucine and valine, while others have regulatory domains of approximately half the length, composed of only a single ACT-like domain. The regulatory responses of TDs from both long and short sequence varieties appear to have many similarities, but there are significant differences. We describe here the allosteric properties of Bacillus subtilis TD ( bsTD), which belongs to the short variety of TD sequences. We also examine the effects of several mutations in the regulatory domain on the kinetics of the enzyme and its response to effectors. The behavior of bsTD can be analyzed and rationalized using a modified Monod-Wyman-Changeux model. This analysis suggests that isoleucine is a negative effector, and valine is a very weak positive effector, but that at high concentrations valine inhibits activity by competing with threonine for binding to the active site. The behavior of bsTD is contrasted with the allosteric behavior reported for TDs from Escherichia coli and Arabidopsis thaliana, TDs with two subdomains. We suggest a possible evolutionary pathway to the more complex regulatory effects of valine on the activity of TDs of the long sequence variety, e.g., E. coli TD.

Allosteric regulation of protein function is a fundamental phenomenon of major importance in many cellular processes. Such regulation is often achieved by ligand-induced conformational changes in multimeric proteins that may give rise to cooperativity in protein function. At the heart of allosteric mechanisms offered to account for such phenomenon, involving either concerted or sequential conformational transitions, lie changes in intersubunit interactions along the ligation pathway of the protein. However, structure-function analysis of such homooligomeric proteins by means of mutagenesis, although it provides valuable indirect information regarding (allosteric) mechanisms of action, it does not define the contribution of individual subunits nor interactions thereof to cooperativity in protein function, because any point mutation introduced into homooligomeric proteins will be present in all subunits. Here, we present a general strategy for the direct analysis of cooperativity in multisubunit proteins that combines measurement of the effects on protein function of all possible combinations of mutated subunits with analysis of the hierarchy of intersubunit interactions, assessed by using high-order double-mutant cycle-coupling analysis. We show that the pattern of high-order intersubunit coupling can serve as a discriminative criterion for defining concerted versus sequential conformational transitions underlying protein function. This strategy was applied to the particular case of the voltage-activated potassium channel protein (Kv) to provide compelling evidence for a concerted all-or-none activation gate opening of the Kv channel pore domain. An direct and detailed analysis of the contribution of high-order intersubunit interactions to cooperativity in the function of an allosteric protein has not previously been presented.

The information flow between distal elements of a protein may rely on allosteric communication trajectories lying along the protein's tertiary or quaternary structure. To unravel the underlying features of energy parsing along allosteric pathways in voltage-gated K(+) channels, high-order thermodynamic coupling analysis was performed. We report that such allosteric trajectories are functionally conserved and delineated by well defined boundaries. Moreover, allosteric trajectories assume a hierarchical organization whereby increasingly stronger layers of cooperative residue interactions act to ensure efficient and cooperative long-range coupling between distal channel regions. Such long-range communication is brought about by a coupling of local and global conformational changes, suggesting that the allosteric trajectory also corresponds to a pathway of physical deformation. Supported by theoretical analyses and analogy to studies analyzing the contribution of long-range residue coupling to protein stability, we propose that such experimentally derived trajectory features are a general property of allosterically regulated proteins.

The interaction of membrane-embedded voltage-activated potassium channels (Kv) with intracellular scaffold proteins, such as the postsynaptic density 95 (PSD-95) protein, is mediated by the channel C-terminal segment. This interaction underlies Kv channel clustering at unique membrane sites and is important for the proper assembly and functioning of the synapse. In the current study, we address the molecular mechanism underlying Kv/PSD-95 interaction. We provide experimental evidence, based on hydrodynamic and spectroscopic analyses, indicating that the isolated C-terminal segment of the archetypical Shaker Kv channel (ShB-C) is a random coil, suggesting that ShB-C belongs to the recently defined class of intrinsically disordered proteins. We show that isolated ShB-C is still able to bind its scaffold protein partner and support protein clustering in vivo, indicating that unfoldedness is compatible with ShB-C activity. Pulldown experiments involving C-terminal chains differing in flexibility or length further demonstrate that intrinsic disorder in the C-terminal segment of the Shaker channel modulates its interaction with the PSD-95 protein. Our results thus suggest that the C-terminal domain of the Shaker Kv channel behaves as an entropic chain and support a "fishing rod" molecular mechanism for Kv channel binding to scaffold proteins. The importance of intrinsically disordered protein segments to the complex processes of synapse assembly, maintenance, and function is discussed.

Membrane-embedded voltage-activated potassium channels (Kv) bind intracellular scaffold proteins, such as the Post Synaptic Density 95 (PSD-95) protein, using a conserved PDZ-binding motif located at the channels' C-terminal tip. This interaction underlies Kv-channel clustering, and is important for the proper assembly and functioning of the synapse. Here we demonstrate that the C-terminal segments of Kv channels adjacent to the PDZ-binding motif are intrinsically disordered. Phylogenetic analysis of the Kv channel family reveals a cluster of channel sequences belonging to three out of the four main channel families, for which an association is demonstrated between the presence of the consensus terminal PDZ-binding motif and the intrinsically disordered nature of the immediately adjacent C-terminal segment. Our observations, combined with a structural analogy to the N-terminal intra-molecular ball-and-chain mechanism for Kv channel inactivation, suggest that the C-terminal disordered segments of these channel families encode an inter-molecular fishing rod-like mechanism for K(+) channel binding to scaffold proteins.

Ion channels open and close their pore in a process called gating. On the basis of crystal structures of two voltage-independent K(+) channels, KcsA and MthK, a conformational change for gating has been proposed whereby the inner helix bends at a glycine hinge point (gating hinge) to open the pore and straightens to close it. Here we ask if a similar gating hinge conformational change underlies the mechanics of pore opening of two eukaryotic voltage-dependent K(+) channels, Shaker and BK channels. In the Shaker channel, substitution of the gating hinge glycine with alanine and several other amino acids prevents pore opening, but the ability to open is recovered if a secondary glycine is introduced at an adjacent position. A proline at the gating hinge favors the open state of the Shaker channel as if by preventing inner helix straightening. In BK channels, which have two adjacent glycine residues, opening is significantly hindered in a graded manner with single and double mutations to alanine. These results suggest that K(+) channels, whether ligand- or voltage-dependent, open when the inner helix bends at a conserved glycine gating hinge.

A frequently used measure for the extent of cooperativity in ligand binding by an allosteric protein is the Hill coefficient, obtained by fitting data of initial reaction velocity (or fractional binding saturation) as a function of substrate concentration to the Hill equation. Here, it is demonstrated that the simple two-state Boltzmann equation that is widely used to fit voltage-activation data of voltage-dependent ion channels is analogous to the Hill equation. A general empiric definition for a Hill coefficient (n(H)) for channel gating transitions that is analogous to the logarithmic potential sensitivity function of Almers is derived. This definition provides a novel framework for interpreting the meaning of the Hill coefficient. In considering three particular and simple gating schemes for a voltage-activated cation channel, the relation of the Hill coefficient to the magnitude and nature of cooperative interactions along the reaction coordinate of channel gating is demonstrated. A possible functional explanation for the low value of the Hill coefficient for gating transitions of the Shaker voltage-activated K(+) channel is suggested. The analogy between the Hill coefficients for ligand binding and for channel gating transitions further points to a unified conceptual framework in analyzing enzymes and channels behavior.

A novel sequence-analysis technique for detecting correlated amino acid positions in intermediate-size protein families (50-100 sequences) was developed, and applied to study voltage-dependent gating of potassium channels. Most contemporary methods for detecting amino acid correlations within proteins use very large sets of data, typically comprising hundreds or thousands of evolutionarily related sequences, to overcome the relatively low signal-to-noise ratio in the analysis of co-variations between pairs of amino acid positions. Such methods are impractical for voltage-gated potassium (Kv) channels and for many other protein families that have not yet been sequenced to that extent. Here, we used a phylogenetic reconstruction of paralogous Kv channels to follow the evolutionary history of every pair of amino acid positions within this family, thus increasing detection accuracy of correlated amino acids relative to contemporary methods. In addition, we used a bootstrapping procedure to eliminate correlations that were statistically insignificant. These and other measures allowed us to increase the method's sensitivity, and opened the way to reliable identification of correlated positions even in intermediate-size protein families. Principal-component analysis applied to the set of correlated amino acid positions in Kv channels detected a network of inter-correlated residues, a large fraction of which were identified as gating-sensitive upon mutation. Mapping the network of correlated residues onto the 3D structure of the Kv channel from Aeropyrum pernix disclosed correlations between residues in the voltage-sensor paddle and the pore region, including regions that are involved in the gating transition. We discuss these findings with respect to the evolutionary constraints acting on the channel's various domains. The software is available on our website

Voltage-dependent gating in K(+) channels results from the mechanical coupling of voltage sensor movements to pore opening. We used single and double mutations in the pore of the Shaker K(+) channel to analyze a late concerted pore opening transition and interpreted the results in the context of known K(+) channel structures. Gating sensitive mutations are located at mechanistically informative regions of the pore and are coupled energetically across distances up to 15 A. We propose that the pore is intrinsically more stable when closed, and that to open the pore the voltage sensors must exert positive work by applying an outward lateral force near the inner helix bundle.

Chaperonins mediate protein folding in an ATP-dependent manner. ATP binding and hydrolysis by chaperonins are subject to both homotropic and heterotropic allosteric regulation. In the case of GroEL and CCT, homotropic regulation by ATP is manifested in nested cooperativity, which involves positive intra-ring cooperativity and negative inter-ring cooperativity in ATP binding. Both types of cooperativity are modulated by various heterotropic allosteric effectors, which include nonfolded proteins, ADP, Mg2+, monovalent ions such as K+, and cochaperonins in the case of type I chaperonins such as GroEL. Here, the allosteric properties of chaperonins are reviewed and new results of ours are presented with regard to allosteric effects of ADP. The role of allostery in the reaction cycle and folding function of chaperonins is discussed., (Copyright 2001 Academic Press.)

A frequently used measure for the extent of cooperativity in ligand binding by allosteric proteins is the Hill coefficient. Hill coefficients can be measured for steady-state kinetic data and also for transient kinetic data. Here, the relationship between the two types of Hill coefficients is analysed. It is shown that a value of 1 for the ratio of the two Hill coefficients is a test for a concerted ligand-induced transition between two conformations of the protein, in accordance with the Monod-Wyman-Changeux model. A value of 1 for this ratio has recently been observed for a series of chaperonin GroEL mutants suggesting that ATP-induced allosteric transitions in this protein are concerted.

GroEL is an allosteric protein that facilitates protein folding in an ATP-dependent manner. Herein, the relationship between cooperative ATP binding by GroEL and the kinetics of GroE-assisted folding of two substrates with different GroES dependence, mouse dihydrofolate reductase (mDHFR) and mitochondrial malate dehydrogenase, is examined by using cooperativity mutants of GroEL. Strong intra-ring positive cooperativity in ATP binding by GroEL decreases the rate of GroEL-assisted mDHFR folding owing to a slow rate of the ATP-induced transition from the protein-acceptor state to the protein-release state. Inter-ring negative cooperativity in ATP binding by GroEL is found to affect the kinetic partitioning of mDHFR, but not of mitochondrial malate dehydrogenase, between folding in solution and folding in the cavity underneath GroES. Our results show that protein folding by this "two-stroke motor" is coupled to cooperative ATP binding.

GroEL with an intrinsic fluorescent probe was generated by introducing the mutation Phe44 --> Trp. Different concentrations of ATP were rapidly mixed with GroEL containing this mutation, and the time-resolved change in fluorescence emission, upon excitation at 280 nm, was followed. Three kinetic phases were observed: a fast phase with a large amplitude and two slower phases with small amplitudes. The phases were assigned by (i) determining their dependence on ATP concentration; (ii) measuring their sensitivity to the mutation Arg197 --> Ala, which decreases cooperativity in ATP binding; and (iii) by carrying out mixing experiments of GroEL also with ADP, ATPgammaS, and ATP without K+. The apparent rate constant corresponding to the fast phase displays a bi-sigmoidal dependence on ATP concentration with Hill coefficients that are strikingly similar to those determined in steady-state experiments. This phase, which reflects ATP-induced conformational changes, is sensitive to the mutation Arg197 --> Ala in a manner that parallels steady-state experiments. The rate of conformational change in the presence of ATP is >100 sec-1, which is fast relative to most protein folding rates, whereas in the absence of ATP it is approximately 0.7 s-1. The second phase reflects the transition from an ATP-bound state of GroEL to an ADP-bound state. The third phase, with the smallest amplitude, reflects release of residual contaminants. The results in this study are found to be consistent with the nested model for cooperativity in ATP binding by GroEL [Yifrach, O., and Horovitz, A. (1995) Biochemistry 34, 5303-5308].

Co-operativity in ATP hydrolysis by GroEL can be described by a model in which each ring of GroEL is in equilibrium between a low (T) and high (R) affinity state for ATP. According to this model, the GroEL double-ring is in equilibrium between three states: TT, TR and RR. In order to find out which states bind non-folded proteins, we measured the co-operativity in ATP hydrolysis by GroEL in the absence and presence of non-folded alpha-lactalbumin, under equilibrium conditions between GroEL and the non-folded protein. The non-folded protein is found to bind preferentially the T state of GroEL rings and to stimulate the ATPase activity of GroEL by (1) a direct effect on GroEL rings in the T state and (2) a shift in the equilibrium from the RR state toward the more active TR state. The coupling between co-operativity in ATP hydrolysis by GroEL and protein substrate binding and release by this molecular chaperone is shown.

Initial rates of ATP hydrolysis by wild-type GroEL were measured as a function of ATP concentration from 0 to 0.8 mM. Two allosteric transitions are observed: one at relatively low ATP concentrations (< or = 100 microM) and the second at higher concentrations of ATP with respective midpoints of about 16 and 160 microM. Two allosteric transitions were previously observed also in the case of the Arg-196-->Ala GroEL mutant [Yifrach, O., & Horovitz, A. (1994) J. Mol. Biol. 243, 397-401]. On the basis of these observations a mathematical model for nested cooperativity in ATP hydrolysis by GroEL is developed in which there are two levels of allostery: one within each ring and the second between rings. In the first level, each hepatameric ring is in equilibrium between the T and R states, in accordance with the Monod-Wyman-Changeux (MWC) model of cooperativity [Monod et al. (1965) J. Mol. Biol. 12, 88-118]. A second level of allostery is between the rings of the GroEL particle which undergoes sequential Koshland-Némethy-Filmer (KNF)-type transitions from the TT state via the TR state to the RR state [Koshland et al. (1966) Biochemistry 5, 365-385]. Using our model, we estimate the values of the Hill coefficient for the negative cooperativity between rings in wild-type GroEL and the Arg-196-->Ala mutant to be 0.003 (+/- 0.001) and 0.07 (+/- 0.02), respectively. The inter-ring coupling free energies in wild-type GroEL and the Arg-196-->Ala mutant are -7.5 (+/- 0.4) and -3.9 (+/- 0.3) kcal mol-1, respectively.

The conserved residue Lys-34 in GroES was replaced by alanine and glutamic acid using site-directed mutagenesis. This residue is near the carboxy terminus of the mobile loop in GroES (residues 17-32) which becomes immobilized upon formation of the GroEL/GroES complex [Landry et al. (1993) Nature 364, 255-258]. Both charge neutralization (Lys-34-->Ala) and charge reversal (Lys-34-->Glu) at this position have little effect on the binding constant of GroES to GroEL, but they increase the enhancement by GroES of cooperativity in ATP hydrolysis by GroEL. This is reflected by a change in the Hill coefficient (at 10 mM K+) from 4.10 (+/- 0.22) in the presence of wild-type GroES to 5.17 (+/- 0.24) and 4.46 (+/- 0.14) in the presence of the GroES mutants Lys-34-->Ala and Lys-34-->Glu, respectively. The results are interpreted using the Monod-Wyman-Changeux (MWC) model for cooperativity [Monod et al. (1965) J. Mol. Biol. 12, 88-118]. They suggest that Lys-34 in GroES modulates the allosteric transition in GroEL by stabilizing a relaxed (R)-like state.

Sequence homology between GroEL and Escherichia coli DNA polymerase I, together with the fact that both proteins bind adenine nucleotides, suggested to us that they may have a similar nucleotide binding site. Arg196 in GroEL corresponds to Arg425 in DNA polymerase I, which is near its nucleotide binding site. Here, we report the striking effects of the mutation Arg196-->Ala in GroEL on its kinetic and allosteric properties with respect to ATP. The mutation reduces positive co-operativity in ATP hydrolysis found in wild-type GroEL. It also gives rise to strong substrate (ATP) inhibition, which is not apparent in the wild-type protein. The dual effect of the mutation reflects the presence of two lines of allosteric communication between ATP binding sites in GroEL and suggests the existence of nested co-operativity.

A search for co-ordinated amino acid changes in the hsp60 family of chaperonins suggested that cysteine residues at positions 137 and 518 in the Escherichia coli chaperonin GroEL may interact with each other. In order to determine whether this interaction indeed exists we constructed a double-mutant cycle comprising wild-type GroEL, the single mutants Cys137-->Ser and Cys518-->Ser and the corresponding double mutant. The effects of the two mutations on the function of GroEL, in assisting the refolding of a non-folded protein substrate (rhodanese), are shown to be non-additive. It is also shown that ADP by itself specifically destabilizes the Cys518-->Ser mutant GroEL particle with this effect being suppressed in the double mutant. The observed pattern of co-ordinated mutations in the hsp60 family of chaperonins is thus shown to reflect a real interaction, though most likely indirect, between Cys137 and Cys518 in GroEL. Our study demonstrates that patterns of co-ordinated mutations combined with double-mutant cycle analysis can provide structural information on interactions in a protein without an available three-dimensional structure at atomic resolution.