Skip to main content
The Journal of Biological Chemistry logoLink to The Journal of Biological Chemistry
. 2018 Jan 22;293(10):3675–3684. doi: 10.1074/jbc.RA117.000604

Mapping allosteric linkage to channel gating by extracellular domains in the human epithelial sodium channel

Mahmoud Shobair ‡,§,¶,, Konstantin I Popov , Yan L Dang , Hong He , M Jackson Stutts ‖,1, Nikolay V Dokholyan ‡,§,¶,‖,2
PMCID: PMC5846138  PMID: 29358325

Abstract

The epithelial sodium channel (ENaC) mediates sodium absorption in lung, kidney, and colon epithelia. Channels in the ENaC/degenerin family possess an extracellular region that senses physicochemical changes in the extracellular milieu and allosterically regulates the channel opening. Proteolytic cleavage activates the ENaC opening, by the removal of specific segments in the finger domains of the α- and γ ENaC-subunits. Cleavage causes perturbations in the extracellular region that propagate to the channel gate. However, it is not known how the channel structure mediates the propagation of activation signals through the extracellular sensing domains. Here, to identify the structure–function determinants that mediate allosteric ENaC activation, we performed MD simulations, thiol modification of residues substituted by cysteine, and voltage-clamp electrophysiology recordings. Our simulations of an ENaC heterotetramer, α1βα2γ, in the proteolytically cleaved and uncleaved states revealed structural pathways in the α-subunit that are responsible for ENaC proteolytic activation. To validate these findings, we performed site-directed mutagenesis to introduce cysteine substitutions in the extracellular domains of the α-, β-, and γ ENaC-subunits. Insertion of a cysteine at the α-subunit Glu557 site, predicted to stabilize a closed state of ENaC, inhibited ENaC basal activity and retarded the kinetics of proteolytic activation by 2-fold. Our results suggest that the lower palm domain of αENaC is essential for ENaC activation. In conclusion, our integrated computational and experimental approach suggests key structure–function determinants for ENaC proteolytic activation and points toward a mechanistic model for the allosteric communication in the extracellular domains of the ENaC/degenerin family channels.

Keywords: allosteric regulation, molecular modeling, ion channel, molecular dynamics, epithelial sodium channel (ENaC), allostery, discrete molecular dynamics, ENaC/degenerin family, proteolytic activation

Introduction

Members of the epithelial sodium channel (ENaC)3/degenerin ion channel family share functions that can be backtracked to a common ancestor. This ancestral receptor was likely essential to the maintenance of electrolyte balance in eukaryotic cells as they adapted to an electrolyte-rich environment (1). The ion channels in this family control and regulate the flux of cations entering cells, thus the channels control the cell volume and the electric properties of the cell membrane. Maintaining proper cell volume is essential for cellular and organismal survival (2). Therefore, the ENaC/degenerin ion channel family is crucial to electrolyte homeostasis in organs such as the kidneys, lungs, and brain (3). Mutations in channel subunits can cause severe electrolyte disorders, such as hereditary hypertension Liddle syndrome and neuronal degeneration in Caenorhabditis elegans (1, 38). Although the channels in the ENaC/degenerin family share considerable homology, each channel has adopted a unique biochemical mechanism to regulate its function.

All of the channels contain an extracellular degenerin site that is essential for proper channel function. The domains in the extracellular region sense and process several extracellular clues, such as changes in the concentrations of electrolytes, neuropeptides, and proteases (9). It remains unknown, however, how the detection of extracellular signals modifies the operation of the distal gating mechanism. The lowest homology among the channel subunits resides in the finger domain, specifically the hypervariable region (HVR). The HVR has diverged to adopt specific folds that enable each channel to sense and respond to specific extracellular signals (10). The HVRs in the α- and γ ENaC-subunits are partially disordered, and they undergo site-specific channel activation by proteolytic cleavage that releases inhibitory peptides (11). Because perturbations in the finger domains are essential to couple the activation signals to the channel gate, we hypothesized that key extracellular residues and inter-residue interactions transduce HVR conformational changes to the gate region.

The ENaC/degenerin ion channel family utilizes a remarkable allosteric machinery that enables the large extracellular domains to act as receptors to sense specific changes in the environment (12, 13), such as the release of neuropeptides in the extracellular milieu (1). Transduction of extracellular signals into conformational changes at the gating pore implies dynamical coupling in the protein network (14). Better understanding of how extracellular signals are processed in the ENaC/degenerin family has been challenging due to limited structural data (15). The X-ray structures of the chicken acid sensing ion channel (cASIC) in multiple functional states have provided a platform for further structure–function studies of the allosteric mechanisms that regulate the function of the ENaC/degenerin ion channels (10, 1621). Results of previous computational work provided insights for developing mechanistic models that describe the inter-domain motions in ASIC subunits resulting from extracellular proton binding (19, 2225). Particular residues in the ASIC palm domain have been found to modulate the kinetics of desensitization upon stimulation by proton binding. Other investigators have used cysteine mutagenesis and chemical modification to identify functionally important extracellular sites (18). Here, we developed an integrated computational and experimental strategy to define a structural basis for the allosteric activation of ENaC by proteolytic cleavage. We used a graph-based approach to analyze the allosteric pathways that are derived from inter-residue dynamical coupling obtained from molecular dynamics simulations. We related the changes in the structural dynamics of ENaC upon proteolytic cleavage to the kinetics of proteolytic activation.

We have combined molecular dynamics simulations, chemical modifications of residues substituted by cysteine, and electrophysiology recordings to investigate the structure–function determinants of ENaC proteolytic activation. We identified residues in the α-subunit that modulate the kinetics of proteolytic activation and uncovered allosteric pathways that dynamically link the HVR region in the αENaC finger domain to the channel gate. Our molecular dynamics simulations of ENaC heterotetramer α1βα2γ predict the conformational changes and inter-subunit coupling that mediate ENaC activation. In summary, our findings offer a dynamic model of the structural basis for the allosteric sensing and processing of extracellular activation signals by the ENaC/degenerin family.

Results

Cleavage-triggered inter-subunit conformational changes alter intra-subunit dynamics

Because ENaC cleavage occurs mainly in the α- and γ-subunits of the protein, we focused our analysis on the interactions at the αγ interface. By analyzing multiple discrete molecular dynamics (DMD) trajectories (26, 27), we found that cleavages in the α- and γ-subunits relax the finger domains of the subunits, because the residues flanking the cleavage sites fold into a set of thermodynamically favorable conformations (Movie S1). All of the sampled conformations fell into an ensemble of structures that were stabilized by H-bonded interactions formed by the finger domain of the cleaved subunit (α or γ) and the knuckle domain of the interfacing subunit (α, β, or γ). We observed interactions between the knuckle domain of αENaC and the finger domain of γENaC that occur subsequent to cleavage. Upon relaxation of the flanking residues in the γ-subunit, the positively charged residues at the furin site, 135RKRR138, formed stabilizing contacts with neighboring polar residues. Mainly, the observed inter-subunit interactions are mediated by residues in the α-knuckle domain, such as αAsp527 and αGlu531. These acidic residues formed H-bond contacts with the lysines and arginines in the γ-furin site (Fig. 1A).

Figure 1.

Figure 1.

Structural dynamics of proteolytic activation of ENaC heterotetramer. A, schematic of a representative structure from DMD simulations of cleaved ENaC heterotetramer α1βα2γ. Dashed lines represent H-bonds formed between γ-furin site RKRR with the knuckle domain of the adjacent α-subunit. B, a schematic model showing the structural topology of domains in ENaC subunits. The blue dot indicates the site of cleavage and the source of the proteolytic activation signal. The red dot points to the wrist domain where the activation signal reaches to trigger opening of the gate. C, r.m.s. fluctuations of Cα atoms of αENaC residues in the uncleaved and cleaved states from DMD simulations. Asterisks indicate the regions exhibiting statistically significant differences in Cα fluctuations (p < 0.01), Kolmogorov-Smirnov test.

Upon cleavage, the residues flanking the furin cleavage site in γENaC undergo major relative displacements, up to ∼4 Å (Fig. 1C). The second major conformational change occurs in the knuckle domain of the α-subunit. As the furin site in the γ-subunit folds into a stable state, the polar residues in the knuckle domain of the α-subunit undergo displacements that are quantitated by an increase in the root mean square fluctuation (r.m.s. fluctuation) of the Cα atoms (Fig. 1, A and C). These observations suggest that inter-subunit dynamical coupling stabilizes intermediate structures that can promote activation of ENaC upon proteolytic cleavage. To understand the allosteric impact of the observed conformational changes on the intra-subunit dynamics, we constructed a graph, residue interactions networks (RINs), representing the protein structure.

We used the contact frequency data derived from DMD simulations to assign weights to the constructed graph edges (13, 14, 28). We then performed simulations of random walks on the constructed networks using the MapEquation method that utilizes the clustering algorithm Infomap to identify communities of inter-connected residues (see “Materials and methods”). The communities found using the MapEquation method (Fig. 2) resemble closely the domain architecture suggested by the crystal structure of the cASIC (17). The knuckle and the palm domains are part of the largest module, community I, with Ala549 as its hub. The wrist domain is shared between community I and community VI (Fig. 2, A and C). The boundaries between communities may facilitate the exchange of dynamical coupling across the network through the correlated inter-residue fluctuations. The set of inter-community links can serve as a guide for understanding the communication pathways in αENaC.

Figure 2.

Figure 2.

Network analysis reveals communication pathways in αENaC. A, each sphere corresponds to the Cα coordinates of residues in αENaC homology model. Residues are colored according to the community to which they belong. The experimentally tested sites Glu557 and Leu558 are colored red. B, schematic representation of αENaC. Residues dynamically perturbed upon cleavage are represented as dark gray spheres. The cleavage fragment is colored black. C, network organization of communities of interconnected residues found by the MapEquation method. The cleavage sites RSSR and RTAR are labeled in the black module corresponding to the finger domain. The residues in panel A are colored based on the communities presented in panel C.

We used the fluctuation-based cross-correlation data derived from DMD simulations to compare the inter-residue dynamical coupling between the cleaved and uncleaved RINs. To identify mechanisms of information transfer upon cleavage, we have analyzed two information transfer metrics: the spatial distribution of unweighted shortest paths and the flow of correlations through paths in the network. From DMD simulations, we observed local conformational changes at the cleavage sites of the α- and γ-subunits (Fig. 1). We hypothesized that the conformational changes accompanying proteolytic cleavage cause a reconfiguration of the RIN. To test this hypothesis, we aligned the two networks and, indeed, we found that upon cleavage, the uncleaved RIN gained and lost some edges due to changes in inter-residue contacts. Moreover, cleavage allowed for additional communication through an additional set of paths (Fig. 3B). The differences in the distribution of contacts in the protein structure are reflected in the network parameters and configuration (Fig. 3, A and B). We used the network analysis algorithm in Cytoscape to compute the network parameters in the cleaved and uncleaved RINs. The characteristic path length in unweighted networks reflects how information can be optimally transferred through the network (28). By analyzing the average path lengths between the source and target residues (see “Materials and methods”) in the cleaved and uncleaved networks, we found that cleavage changes the network configuration resulting in a reduced average path length. Consequently, the dynamical perturbations due to cleavage may provide more efficient information transfer in the allosteric network of αENaC.

Figure 3.

Figure 3.

Cleavage reconfigures the distribution of shortest paths in αENaC. A and B, network representation of the RINs of αENaC in the uncleaved (A) and cleaved (B) states. Residues or nodes in each RIN of αENaC are represented as circles. Edges connecting nodes represent inter-residue contacts. The size of the circle is proportional to the average number of contacts observed in DMD trajectories. The transmembrane segment in the pore region (TM2) and the residues connecting TM2 to the target residue Asn563 are colored light blue. Nodes in the common cluster of shortest paths in the cleaved and uncleaved RINs connecting Ser270 or Tyr268 to the target node Asn563 in the uncleaved and cleaved RINs, respectively, are colored blue. The cluster of shortest paths unique to the cleaved RIN is colored light orange. Residues in the furin cleavage recognition site 202RSSR205 are labeled black. The experimentally tested sites Glu557 and Leu558 are colored red.

Allosteric pathways that can propagate activating signal in αENaC

To choose a source node or residue, which can sense the allosteric communication triggered by cleavage, we analyzed the pairwise correlations between the residues close to the cleavage site. As expected, these residues exhibit a significant change in the cross-correlation upon cleavage. Similarly, a large cluster of residues in the knuckle domain is also dynamically perturbed upon cleavage (Fig. 2B). Additionally, using the MapEquation (see “Materials and methods”) method, we calculated the flow of random walks through the RIN. We found that Ser270 has the highest visit frequency among the residues with maximal perturbations upon cleavage. The random walk analysis suggests that Ser270 contributes strongly to the communication within its community. Thus, we used Ser270 as the source of signal transmission. Based on the crystal structure of the cASIC, the largest conformational change of activation occurs in the wrist domain (29). We chose the target residues to be where the largest conformational changes occur in the ENaC/degenerin family. Therefore, we analyzed the allosteric paths that communicate changes in the dynamical coupling between Ser270 and residues that lie at the inter-domain interface between the wrist and palm domains.

Considering that cleavage can alter not only the spatial distribution of inter-residue contacts, but also the magnitude of the dynamical coupling between residues, we analyzed the weighted RINs of αENaC, where each edge was weighted according to the inter-residue pairwise correlations obtained from DMD simulations. For these networks, the optimal paths were ranked with respect to the flow of correlations along the paths, i.e. how inter-residue correlated motions propagate along each path (see “Materials and methods”). We used PathLinker to search for and rank paths according to the correlation-based flow. By analyzing the spatial distribution of the paths sampled by PathLinker, we found that both the cleaved and uncleaved networks share one main cluster of optimal paths (Fig. 4A). The optimal paths pass through communities V, III, and I. Although the clusters of paths are identical in terms of the communities they pass through, the flow of the top optimal paths is higher in the cleaved state than in the uncleaved state (Fig. 4B). The increase in flow of the ensemble of optimal paths upon activation by proteolytic cleavage suggests that the reconfiguration of the allosteric network is mediated in part by the stabilization of interactions along the optimal paths.

Figure 4.

Figure 4.

Allosteric pathways that can propagate activating fluctuations in αENaC. A, left, surface representation of the αENaC subunit. Graph models of shortest pathways connecting the cleavage site to the wrist domain. Each shortest path is modeled as a series of connected black dots. The shortest paths are a subset of the RIN. Dots represent the Cα atoms of residues lying on the path. Links or edges connecting the residues represent the inter-residue coupling ωi,i+1 derived from DMD simulations. The flow of fluctuations Ω k of a path with index k is labeled on the protein surface with an arrow indicating the directionality of the flow. The line thickness of the links represents the magnitude of the inter-residue correlation. Right, schematic representation of the α-subunit. The cleavage fragment is colored black. One cluster of optimal paths is represented on the structural model using PyMOL. A gray sphere indicates each residue on the path. Edges connecting residues on each path are modeled as cylinders. Edges are colored yellow in the optimal paths. The target site in the wrist domain is colored orange. B, a plot of the natural algorithm of flow for the cleaved (gray) and uncleaved (blue) networks. The horizontal axis shows the index of each sampled path from the PathLinker algorithm. The indices range from 1 to 100,000, so that a path with index k = 1 has the highest flow, and path with index k = 100,000 has the lowest flow in the top 100,000 paths obtained from the PathLinker algorithm.

Lower palm domain in αENaC is essential for ENaC proteolytic activation

Because we found dynamical differences between the uncleaved and cleaved networks in the α-subunit, we hypothesized that there are sites in αENaC that regulate the structural dynamics needed for activating the channel. Moreover, our DMD simulations predicted a functional role for interactions at the αγ inter-subunit interfaces. To uncover dynamically sensitive sites that can propagate the activation signal, we used site-directed mutagenesis to substitute residues with cysteines and chemically modified these cysteines during electrophysiology recordings. We used thiol modification to probe the functional impact of chemical perturbation of specific sites on the protein structure. We selected sites that lie at the inter-subunit interfaces of our model for ENaC heterotetrameric complex. This approach allowed us to monitor, in real-time, the effect of site-specific chemical perturbations of ENaC subunits on the channel activity. First, we recorded the basal activity of ENaC by monitoring the amiloride-sensitive currents. Then we perfused the oocytes expressing cysteine-engineered ENaC subunits with a cysteine-reactive MTS reagent, such as MTSET (Fig. 5A). As a negative control, we recorded ENaC currents from oocytes expressing WT channels. As expected, the function of WT channels was insensitive to MTSET perturbations (Fig. 5A). However, MTSET modification of a site in a loop in the lower palm domain (Fig. 5B), αGlu557, which belongs to the largest community in the protein network (Fig. 2C) of the α-subunit, elicited a marked inhibition of basal activity (Fig. 5A). We found similar results for αLeu558, but not for αLys556 (Fig. 5C). The observed inhibitory response suggests that αGlu557 and αLeu558 may be important for the stabilization of a closed state of ENaC.

Figure 5.

Figure 5.

Lower palm domain in αENaC stabilizes closed states of ENaC. A, representative recording traces from whole-cell voltage-clamp experiments, repeated in 30 oocytes, for WT ENaC (gray), and αE557C (black), showing inhibition of basal currents of αE557C by MTSET. Oocytes were perfused with MTSET. In αE557C channels, MTSET inhibits basal activity, but in WT channels, MTSET has no measurable effect on ENaC activity. B, schematic representation of the structural model of αENaC illustrating the locations of tested residues, shown as spheres. αE557C and its homologous site in γENaC are colored red, residues in αENaC showing no MTSET response are colored gray, and the tested residue in βENaC is colored green. C, the MTSET responses for the different ENaC mutants are plotted as scatter plots from 9 to 11 oocytes repeated in 2–3 different batches. Asterisks represent statistically significant responses compared with WT channels; p < 0.001, using unpaired two-tail t test.

To determine whether the MTSET-triggered inhibition interferes with the proteolytic activation of ENaC, we perfused the oocytes with 10 μg/ml of chymotrypsin to proteolytically stimulate the channel. To isolate post-cleavage events that maybe related to the rate-determining conformational changes leading to activation of near-silent channels, we applied a brief protease treatment (30 s) followed by excess aprotinin (Fig. 6A). To ensure that aprotinin effectively stopped continuing chymotrypsin cleavage of ENaC, we confirmed that co-perfusion of chymotrypsin and aprotinin for 2.5 min led to no stimulation. Therefore, the cleavage events that activate ENaC occur within the first 30 s of chymotrypsin exposure. We infer that the slow stimulation of ENaC by chymotrypsin monitors events set in motion by cleavage, such as the molecular rearrangements that activate the channel.

Figure 6.

Figure 6.

αENaC regulates the kinetics of proteolytic activation of ENaC. A, a representative recording trace showing activation of WT ENaC by chymotrypsin after exposure to MTSET. Chymotrypsin activity was inhibited by applying excess aprotinin after 30 s of chymotrypsin treatment. The protease-activated trace was fitted to an exponential function to obtain the rate of activation 1/τ. B, quantification of the time constant τ for ENaC proteolytic activation. MTSET does not impact neither the basal activity nor the rate of proteolytic activation. MTSET treatment of αE557C slows down the rate of proteolytic activation, asterisks indicate statistically significance differences between αE557C groups, p < 0.0001 using unpaired two-tail t test. Data shown are from 8 to 9 oocytes repeated in 2–3 batches.

We hypothesized that the exponential activation rate of ENaC currents in a single oocyte is an ensemble record produced by thousands of channels undergoing sequential conformational changes that culminate in channel opening. Surprisingly, we found that the MTSET treatment slows the rate of proteolytic activation of αCys557 by ∼2-fold, but had no effect on stimulation of WT ENaC (Fig. 6A). Absent MTSET, the time constant of activation generated by brief protease stimulation, τ, is ∼50 s for WT ENaC and the Cys mutant αCys557/β/γ. Applying MTSET to oocytes expressing αCys557/β/γ increases τ to ∼100 s (Fig. 6B). We found that the fold-increase in current above basal activity was comparable between MTSET-treated and untreated groups. This slowed activation due to covalent modification of αCys557 suggests that this residue is dynamically coupled to both the cleavage site and the channel gate. Interestingly, this site belongs to the ensemble of optimal paths predicted from DMD simulations (Fig. 4A), suggesting that the optimal paths may be important for the stabilization of near-silent channels, which remain mostly closed until an activating cleavage event occurs. The presented data suggests that αGlu557 is critical for propagating rate-determining conformational changes that are required for the proteolytic activation of ENaC.

The results from DMD simulations and electrophysiology experiments suggested a novel functional role for the lower palm domain of the α-subunit in ENaC proteolytic activation. Specifically, the loop containing residues αGlu557 and αLeu558 is functionally critical for ENaC proteolytic activation. We tested whether the homologous loops in the β- and γ-subunits can exhibit a similar functional response upon MTSET perturbation. Interestingly, neither α/βQ498C/γ nor α/β/γD511C channels were affected by MTSET treatment in the whole cell voltage-clamp experiments (Fig. 5C). MTSET treatment did not affect basal activity of ENaC currents for the β and γ mutant channels, but αE557C/β/γ and αL558C/β/γ channels showed inhibitory responses to MTSET treatment. Our structural model of ENaC suggests that the homologous sites are solvent exposed. In addition to the loop in the lower palm domain of the α-subunit, we have tested an additional site in the palm domain of the α-subunit. αD148C/β/γ channels were irresponsive to MTSET perturbation with an I-MTSET of 1 (Fig. 5C). These data suggest that among all the tested sites in the α-, β-, and γ-subunits, αGlu557 and αLeu558, when mutated to cysteines, are the only sites that are responsive to MTSET treatment. Moreover, the rate of proteolytic activation is reduced for αGlu557 upon dynamical perturbation of these tested sites.

Discussion

We propose a structural model for the activation of ENaC by proteolytic cleavage in the α- and γ-subunits. We identify key allosteric pathways and residues that facilitate the propagation of proteolytic events to the channel gate. We used a combination of computational and experimental approaches to uncover key structure–function determinants for ENaC proteolytic activation. Based on the data generated from DMD simulations of the ENaC heterotetramer α1βα2γ in the cleaved and the uncleaved states, we built residue interaction networks to identify allosteric pathways that link the cleavage state of ENaC to the gate region of the channel. We substituted amino acid residues with cysteines and used thiol modification agents to identify among the substituted residues those that modulate the rate-determining conformational changes of channel activation. By integrating the predictions from molecular dynamics simulations and the experimental results from electrophysiology recordings, we derived a mechanism for ENaC proteolytic activation. Our model specifies that the lower palm domain of the α-subunit of ENaC is critical for propagating the proteolysis-triggered conformational changes, initiated by the cleavage of the prostasin site in γENaC, to the gate region. To our knowledge, this work presents the first evidence for the role of the lower palm domain of αENaC in modulating the kinetics of channel gating.

To determine the structure-function determinants of allosteric activation of ENaC, we analyzed the differences in dynamics in the allosteric networks of αENaC upon cleavage. Network analysis of protein structures using graph-based approaches can give insight to allosteric sites and mechanisms that can regulate and diversify protein function. Recently, engineering studies of mechanically coupled networks have used allostery-inspired approaches to find strategies to create new functionalities in networks (30, 31). Several structure–function network parameters have been previously used to characterize information flow in networks. Shortest path analysis has been instrumental in understanding the mechanisms of long-range communications in allosteric systems such as ligand-activated proteins (32). del Sol et al. (33) used shortest path analysis of protein structures from several protein families. The investigators found that residues that maintain the connectivity in protein networks are conserved. Our network analysis of structures of αENaC in the uncleaved and cleaved states revealed a decrease in the average shortest path length in the αENaC network. Changes in the average shortest path length suggest a rewiring in the paths that can communicate the activation signal to the channel pore region.

The inter-subunit conformational changes induced by proteolytic activation of ENaC cause changes in the intra-subunit dynamics of αENaC. To explain the altered inter-residue interactions upon cleavage, we analyzed the inter-residue dynamic coupling in paths that connect the cleavage site to the pore region. A set of dominant paths spanning the β-ball, knuckle, and palm domains exhibited higher inter-residue correlations upon cleavage. del Sol et al. (32) have suggested that the dynamical properties that regulate the allosteric networks of ligand-activated proteins are tuned by an ensemble of pre-existing pathways. Our results from analyzing the flow of correlated fluctuations in the allosteric network of αENaC further support this conformational ensemble model. Consistent with previous work by Berman et al. (34), our molecular dynamics simulations predict formation of stabilizing inter-residue contacts between the knuckle domain of the α-subunit and the finger domain of the γ-subunit. The positively charged residues at the γ-cleavage site, RKRR, undergo conformational changes upon cleavage and form H-bonds with the acidic residues in the α-knuckle domain. Interestingly, similar polar contacts form between the knuckle domains and the finger domains of additional inter-subunit interfaces, such as αβ and γα. We have found that perturbations in the knuckle domain dynamics are important for the activation of ENaC. Moreover, disease-associated substitutions in the α-subunit knuckle domain result in changes in the inter-subunit structural dynamics of ENaC (35). Here, we found a loop in the lower palm domain of αENaC to be critical in linking the cleavage sites to the channel gate. Interestingly, introduction of cysteines at the homologous residues in the β- and γ-subunits did not generate a functional response upon MTSET perturbations. These results suggest the lower palm domain in αENaC may have unique dynamic properties to regulate ENaC gating. Moreover, the lack of inhibition response in the β- and γ-subunits may indicate the asymmetric nature of the structural dynamics in ENaC subunits. In summary, we present an allosteric model of ENaC proteolytic activation (Fig. 7). To identify critical residues that regulate the kinetics of proteolytic activation of ENaC, we combined computational modeling with two-electrode voltage-clamp electrophysiology recordings of chemically modified channels. We found mechanisms with which the allosteric network in αENaC can be dynamically perturbed by proteolytic cleavage. This work explains the conformational transitions and interactions that allow ENaC to cross the thermodynamic barriers to conduct sodium. The changes in structural dynamics by cleavage perturb the dynamic coupling in the residue interaction networks. The slow kinetics of ENaC proteolytic activation point to the remarkable allosteric machinery required for the channel function. Future studies should address the conformational transitions that result from specific cleavage events. How dynamically and functionally reactive is the protein network to perturbations by single cleavage events? What is the extent of asymmetry in dynamics in the different ENaC subunits, α, β, and γ? Fluctuations in allosteric networks can be a driving force to allow for conformational transitions that activate ion channels in the ENaC/degenerin family. Our work advances the structural and dynamic understanding of the microscopic variables that tune the kinetics of the conformational transitions required to activate ion channels in the ENaC/degenerin family.

Figure 7.

Figure 7.

An allosteric model of proteolytic activation of ENaC. A, a schematic model of the allosteric activation of ENaC by cleavages in the α- and γ-subunits. The cleaved peptides are shown as light brown curved lines. The double-headed arrows colored creamy-brown resemble the inter-subunit coupling at the αγ inter-subunit interface. The red arrows refer to the direction of signal propagation from the cleavage site to the channel gate. αGlu557 is indicated by the gray circle on the red arrow in the α-subunit. B, surface representation of the αγ dimer. The highest-ranked allosteric path generated by PathLinker is drawn on the model colored wheat. A file of black-filled circles represent the sodium permeation pathway through ENaC pore.

Materials and methods

Molecular biology

cDNAs of α-, β-, and γ-subunits of rat ENaC were cloned into pSDE vectors and linearized. The cDNA accession numbers for the α-, β-, and γ-subunits of rat ENaC are NM_001159576, NM_000336, and NM_001039, respectively. Linearized vectors were transcribed in vitro for cRNA synthesis using the SP6 RNA polymerase (mMessage mMachine, Ambion, Austin, TX). We used site-directed mutagenesis to create αD148C, αK556C, αE557C, αL558C, βQ498C, and γD511C.

Electrophysiology recordings

Xenopus oocytes were harvested and maintained in 85 mm NaCl, 1 mm KCl, 2.4 mm NaHCO3, 0.82 mm MgSO4, 1.88 mm CaCl2, 0.33 mm Ca(NO3)2, 16.3 mm HEPES, pH 7.4, and 10 μm amiloride. The protocols used to obtain oocytes from Xenopus laevis frogs are approved by the University of North Carolina IACUC (protocol ID 17-261.0). Oocytes were injected with 0.3 ng of each cRNA encoding ENaC subunits α, β, and γ. Two-electrode voltage-clamp recordings were performed 24 h after injection. ENaC currents were recorded using Geneclamp amplifier (Axon Instruments) in a constant perfusion system. Oocytes were voltage clamped at −100 mV. Using a Digidata 1200 A/D converter (Axon Instruments) and AxoScope software, currents were digitized and recorded. We analyzed recorded traces using the pCLAMP software. Recordings were initiated in the presence of 10 μm amiloride. Following amiloride wash, basal currents were recorded in frog Ringer's solution (2.5 mm KCl, 1.88 mm CaCl2, 120 mm NaCl, and 10 mm HEPES, pH 7.35) to obtain amiloride-sensitive currents INa. Experimental groups of 5 to 6 oocytes were used, repeated in 2–4 separate oocytes batches.

We analyzed the kinetics of proteolytic activation by fitting the recorded trace of protease-mediated ENaC current to a single exponential function. We have shown before that the rate of exponential activation in recorded ENaC currents is related to the proteolytic susceptibility of activation (36). We normalized the time constant τ for proteolytic activation that is obtained from the MTSET-treated oocytes to the τ obtained from oocytes with no MTSET treatment. We refer to this normalized rate constant as normalized τ-MTSET. A τ-MTSET of 1 indicates no MTSET effect on the proteolytic activation kinetics, and τ-MTSET >1 indicates slowing down of proteolytic activation rate. Similarly, we calculated the fraction of currents responsive to MTSET as I-MTSET. I-MTSET <1 indicates an inhibitory effect of MTSET on basal activity.

Modeling ENaC proteolytic cleavage

We performed DMD simulations (26, 27, 3739) of a heterotetramer model of ENaC (35) to catalogue structural changes accompanying ENaC proteolytic cleavage. From multiple DMD trajectories, we analyzed the backbone fluctuations of αENaC in the fully cleaved and uncleaved states. In different DMD trajectories, we observed cleavage-dependent conformational changes. To simulate the complete proteolytic activation of ENaC, we removed the inhibitory tracts in the α- and γ-subunits. Cleavages in both α- and γ-subunits are required for full activation of ENaC. Thus, we analyzed the structural dynamics at the αγ interface to uncover possible inter-subunit dynamic coupling resulting from release of the cleavage fragments. Proteolytic cleavage occurs in the hypervariable region in the finger domains of the α- and γ-subunits. Thus, we considered the interacting residues surrounding the cleavage site in the finger domains as the sources of signal propagation for proteolytic activation.

Discrete molecular dynamics simulations

The starting structure of the ENaC heterotetramer was prepared and minimized as described previously (35). Briefly, relaxation and equilibration simulations were performed at a low temperature to minimize the potential energy of the system. Seven independent DMD trajectories were simulated at temperature (T) = 0.4 DMD reduced units (kcal/(mol of kB)) for 106 DMD steps (37), which is approximately equivalent to 50 ns of simulation time for each trajectory. Harmonic constraints were applied on all backbone atoms in the transmembrane helices. A soft potential with a force constant of 0.1 kcal mol−1−2 was applied to restrain the motion of the transmembrane helices to mimic lipid–protein interactions.

DMD simulations analysis

To analyze the structural dynamics in the extracellular regions, we obtained the equilibrated structures from each DMD trajectory after discarding the first 25 ns of equilibration. To analyze the dynamical coupling between residues in contact, we used in-house scripts to calculate the r.m.s. fluctuations of Cα atoms and the cross-correlations between the Cα fluctuations. Based on the data obtained from the trajectories we constructed a graph G(V, E), where V nodes correspond to the Cα atoms of each residue in the α-subunit. The nodes in the graph are linked to each other by a set of edges or links E; each edge eij connects a residue pair vij that are in contact. A contact between two residues was assigned if the Cα–Cα distance between two residues of less than or equal to 7.5 Å was maintained for at least half of the simulation time for each trajectory (13, 40). We obtained the absolute value for the cross-correlation values and averaged them across the different trajectories. The average cross-correlation values were used to define the weights for edges (E) that connect the nodes or vertices (V) in the graph G(V, E). This graph was used to describe the RIN. We visualized the RINs using Cytoscape.

We used the last 25 ns from DMD trajectories to analyze networks corresponding to cleaved and uncleaved proteins. We computed the change in the absolute value of the αENaC Cα cross-correlation values upon cleavages in the α- and γ-subunits. We used the common nodes and edges in the uncleaved and the cleaved states to map the nodes that are most perturbed upon proteolytic activation. As these two states correspond to inactive or closed and active or open states of the ENaC, respectively, comparing properties of two corresponding networks may uncover allosteric determinants for the activation in the ENaC heterotetramer.

RIN analysis

To find out how the observed differences in fluctuations can propagate from the cleavage site to the pore region, we analyzed the structural origins of information transfer for each network. To identify the loopless optimal paths that connect the cleavage site in the α-subunit to the wrist domain, we employed the algorithm PathLinker to find the k highest-scoring paths (28). The details of the algorithm are described in Ref. 29. Briefly, PathLinker utilizes a modified and optimized version of Yen's algorithm that iteratively uses the Dijkstra's algorithm as a subroutine. Two types of rankings were used during optimal path search: the total number of nodes along the path for the unweighted graph and the amount of flow through each path. Flow was defined as a probabilistic measure to predict the likelihood that fluctuations will propagate through a certain path from the source node to the target node. Flow Ωk was quantified as the multiplication of all the edge weights on each path, Ωk= Πi=Ni=1 ci,i+1, whereas ci,i+1 is the average cross-correlation value between two consecutive residues ci and ci,i+1, on path with index k. For unweighted shortest-path analysis, we used the Pesca application in the Cytoscape program to find the tree of paths with the minimal number of edges (41). Optimal paths were visualized using PyMOL to identify whether the paths clustered into groups on the protein structure. Unweighted shortest paths were visualized using Cytoscape (42). We used the network analysis algorithm in Cytoscape to compute the network parameters in the cleaved and uncleaved RINs. We analyzed the distribution of the shortest-paths that connect residues that are in direct contact. To analyze the distribution of the flows between dynamically coupled residues in each network we obtained the top 100,000 optimal paths in each network using the algorithm PathLinker. The algorithm calculates the top-ranking k paths according to the flow of correlations from a source node to a target node. We define each path by two structure–function descriptors: (i) the residues and communities that the path passes through, and (ii) the amount of flow of correlated fluctuations through the path. The flow in a path describes the relative probability of the fluctuations propagating from the cleavage site to the pore region.

Community clustering analysis

We clustered the protein regions into communities of interconnected residues using the Mapequation method, which utilizes the Infomap algorithm (42, 43). This method samples the protein network using random walks. The random walker defines the size of the community and the boundaries between communities according to the visit frequency and the number of links or edges each residue has with its neighbors. The trajectories of the random walks resemble the flow of information in the network (43). We mapped the communities identified by this method on the structural model of αENaC. We used the intercommunity boundaries to guide the analysis of the paths found by the PathLinker algorithm (42). Residues in each community are more dynamically coupled to their neighbors than to residues in other communities. The size of each community is characterized by the flow of a random walker within the module relative to the visit frequencies in the rest of the modules in the network (43). The inter-community link resembles how freely information is transferred between adjacent communities. We rank each community based on its total flow.

Author contributions

M. S., K. I. P., and M. J. S. formal analysis; M. S., K. I. P., Y. L. D., and H. H. investigation; M. S. visualization; M. S., K. I. P., Y. L. D., M. J. S., and N. V. D. methodology; M. S. writing-original draft; K. I. P., M. J. S., and N. V. D. conceptualization; K. I. P., M. J. S., and N. V. D. supervision; K. I. P., M. J. S., and N. V. D. writing-review and editing; N. V. D. funding acquisition; N. V. D. project administration.

Supplementary Material

Supporting Information

Acknowledgments

We acknowledge David D. Mowrey for useful discussions of the network analysis and Howard Fried, Jhuma Das, Marino Convertino, and Andrey Krokhotin for helpful comments on the manuscript.

This work was supported by the National Institutes of Health Program Project Grants P01 HL 110873-04 (to M. S.) and 110873-01 (to N. V. D. and M. J. S.), National Institutes of Health Grants R01GM114015, R01GM064803, and R01GM123247 (to N. V. D.), and Cystic Fibrosis Foundation Award STUTTS1610. The authors declare that they have no conflicts of interest with the contents of this article. The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health.

This article contains Movie S1.

3
The abbreviations used are:
ENaC
epithelial sodium channel
HVR
hypervariable region
cASIC
chicken acid sensing ion channel
DMD
discrete molecular dynamics
r.m.s. fluctuations
root mean square fluctuation
RIN
residue interactions network
MTSET
2-(trimethylammonium)ethyl methanethiosulfonate, bromide.

References

  • 1. Rossier B. C., Baker M. E., and Studer R. A. (2015) Epithelial sodium transport and its control by aldosterone: the story of our internal environment revisited. Physiol. Rev. 95, 297–340 10.1152/physrev.00011.2014 [DOI] [PubMed] [Google Scholar]
  • 2. Pedersen S. F., Hoffmann E. K., and Novak I. (2013) Cell volume regulation in epithelial physiology and cancer. Front. Physiol. 4, 233 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 3. Bhalla V., and Hallows K. R. (2008) Mechanisms of ENaC regulation and clinical implications. J. Am. Soc. Nephrol. 19, 1845–1854 10.1681/ASN.2008020225 [DOI] [PubMed] [Google Scholar]
  • 4. Moreau A., Gosselin-Badaroudine P., and Chahine M. (2014) Biophysics, pathophysiology, and pharmacology of ion channel gating pores. Front. Pharmacol. 5, 53 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 5. Baker S. E., Wheatley C. M., Cassuto N. A., Foxx-Lupo W. T., Sprissler R., and Snyder E. M. (2011) Genetic variation of αENaC influences lung diffusion during exercise in humans. Respir. Physiol. Neurobiol. 179, 212–218 10.1016/j.resp.2011.08.007 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 6. Rauh R., Soell D., Haerteis S., Diakov A., Nesterov V., Krueger B., Sticht H., and Korbmacher C. (2013) A mutation in the β-subunit of ENaC identified in a patient with cystic fibrosis-like symptoms has a gain-of-function effect. Am. J. Physiol. Lung Cell Mol. Physiol. 304, L43–L55 10.1152/ajplung.00093.2012 [DOI] [PubMed] [Google Scholar]
  • 7. Rauh R., Diakov A., Tzschoppe A., Korbmacher J., Azad A. K., Cuppens H., Cassiman J.-J., Dötsch J., Sticht H., and Korbmacher C. (2010) A mutation of the epithelial sodium channel associated with atypical cystic fibrosis increases channel open probability and reduces Na+ self inhibition. J. Physiol. 588, 1211–1225 10.1113/jphysiol.2009.180224 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 8. Azad A. K., Rauh R., Vermeulen F., Jaspers M., Korbmacher J., Boissier B., Bassinet L., Fichou Y., des Georges M., Stanke F., De Boeck K., Dupont L., Balascáková M., Hjelte L., Lebecque P., et al. (2009) Mutations in the amiloride-sensitive epithelial sodium channel in patients with cystic fibrosis-like disease. Hum. Mutat. 30, 1093–1103 10.1002/humu.21011 [DOI] [PubMed] [Google Scholar]
  • 9. Ben-Shahar Y. (2011) Sensory functions for degenerin/epithelial sodium channels (DEG/ENaC). Adv Genet. 76, 1–26 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 10. Stockand J. D., Staruschenko A., Pochynyuk O., Booth R. E., and Silverthorn D. U. (2008) Insight toward epithelial Na+ channel mechanism revealed by the acid-sensing ion channel 1 structure. IUBMB Life. 60, 620–628 10.1002/iub.89 [DOI] [PubMed] [Google Scholar]
  • 11. Kashlan O. B., Boyd C. R., Argyropoulos C., Okumura S., Hughey R. P., Grabe M., and Kleyman T. R. (2010) Allosteric inhibition of the epithelial Na+ channel through peptide binding at peripheral finger and thumb domains. J. Biol. Chem. 285, 35216–35223 10.1074/jbc.M110.167064 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 12. Dokholyan N. V. (2016) Controlling allosteric networks in proteins. Chem Rev. 116, 6463–6487 10.1021/acs.chemrev.5b00544 [DOI] [PubMed] [Google Scholar]
  • 13. Proctor E. A., Kota P., Aleksandrov A. A., He L., Riordan J. R., and Dokholyan N. V. (2015) Rational coupled dynamics network manipulation rescues disease-relevant mutant cystic fibrosis transmembrane conductance regulator. Chem Sci. 6, 1237–1246 10.1039/C4SC01320D [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 14. Aleksandrov A. A., Kota P., Cui L., Jensen T., Alekseev A. E., Reyes S., He L., Gentzsch M., Aleksandrov L. A., Dokholyan N. V., and Riordan J. R. (2012) Allosteric modulation balances thermodynamic stability and restores function of ΔF508 CFTR. J. Mol. Biol.. 419, 41–60 10.1016/j.jmb.2012.03.001 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 15. Garty H., and Palmer L. G. (1997) Epithelial sodium channels: function, structure, and regulation. Physiol. Rev. 77, 359–396 10.1152/physrev.1997.77.2.359 [DOI] [PubMed] [Google Scholar]
  • 16. Jasti J., Furukawa H., Gonzales E. B., and Gouaux E. (2007) Structure of acid-sensing ion channel 1 at 1.9-Å resolution and low pH. Nature 449, 316–323 10.1038/nature06163 [DOI] [PubMed] [Google Scholar]
  • 17. Baconguis I., Bohlen C. J., Goehring A., Julius D., and Gouaux E. (2014) X-ray structure of acid-sensing ion channel 1-snake toxin complex reveals open state of a Na+-selective channel. Cell. 156, 717–729 10.1016/j.cell.2014.01.011 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 18. Swain S. M., and Bera A. K. (2013) Coupling of proton binding in extracellular domain to channel gating in acid-sensing ion channel. J. Mol. Neurosci. 51, 199–207 10.1007/s12031-013-9991-x [DOI] [PubMed] [Google Scholar]
  • 19. Della Vecchia M. C., Rued A. C., and Carattino M. D. (2013) Gating transitions in the palm domain of ASIC1a. J. Biol. Chem. 288, 5487–5495 10.1074/jbc.M112.441964 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 20. Yang H., Yu Y, Li W.-G., Yu F., Cao H., Xu T.-L., and Jiang H. (2009) Inherent dynamics of the acid-sensing ion channel 1 correlates with the gating mechanism. PLoS Biol. 7, e1000151 10.1371/journal.pbio.1000151 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 21. Roy S., Boiteux C., Alijevic O., Liang C., Bernèche S., and Kellenberger S. (2013) Molecular determinants of desensitization in an ENaC/degenerin channel. FASEB J. 27, 5034–5045 10.1096/fj.13-230680 [DOI] [PubMed] [Google Scholar]
  • 22. Yang H., Yu Y., Li W.-G., Xu T.-L., and Jiang H. (2009) Conformational sampling on acid-sensing ion channel 1 (ASIC1): implication for a symmetric conformation. Cell Res. 19, 1035–1037 10.1038/cr.2009.90 [DOI] [PubMed] [Google Scholar]
  • 23. Sherwood T. W., Frey E. N., and Askwith C. C. (2012) Structure and activity of the acid-sensing ion channels. Am. J. Physiol. Cell Physiol. 303, C699–C710 10.1152/ajpcell.00188.2012 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 24. Dawson R. J., Benz J., Stohler P., Tetaz T., Joseph C., Huber S., Schmid G., Hügin D., Pflimlin P., Trube G., Rudolph M. G., Hennig M., and Ruf A. (2012) Structure of the acid-sensing ion channel 1 in complex with the gating modifier Psalmotoxin 1. Nat. Commun. 3, 936 10.1038/ncomms1917 [DOI] [PubMed] [Google Scholar]
  • 25. Ramaswamy S. S., MacLean D. M., Gorfe A. A., and Jayaraman V. (2013) Proton-mediated conformational changes in an acid-sensing ion channel. J. Biol. Chem. 288, 35896–35903 10.1074/jbc.M113.478982 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 26. Ding F., Tsao D., Nie H., and Dokholyan N. V. (2008) Ab initio folding of proteins with all-atom discrete molecular dynamics. Structure 16, 1010–1018 10.1016/j.str.2008.03.013 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 27. Dokholyan N. V., Buldyrev S. V., Stanley H. E., and Shakhnovich E. I. (1998) Discrete molecular dynamics studies of the folding of a protein-like model. Fold Des. 3, 577–587 10.1016/S1359-0278(98)00072-8 [DOI] [PubMed] [Google Scholar]
  • 28. Dokholyan N. V., Lee Y., Buldyrev S. V., Havlin S., King P. R., and Stanley H. E. (1998) Scaling of the distribution of shortest paths in percolation. J. Stat. Phys. 93, 603–613 [Google Scholar]
  • 29. Ritz A., Poirel C. L., Tegge A. N., Sharp N., Simmons K., Powell A., Kale S. D., and Murali T. M. (2016) Pathways on demand: automated reconstruction of human signaling networks. Syst. Biol. Appl. 2, 16002 10.1038/npjsba.2016.2 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 30. Dagliyan O., Shirvanyants D., Karginov A. V., Ding F., Fee L., Chandrasekaran S. N., Freisinger C. M., Smolen G. A., Huttenlocher A., Hahn K. M., and Dokholyan N. V. (2013) Rational design of a ligand-controlled protein conformational switch. Proc. Natl. Acad. Sci. U.S.A. 110, 6800–6804 10.1073/pnas.1218319110 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 31. Rocks J. W., Pashine N., Bischofberger I., Goodrich C. P., Liu A. J., and Nagel S. R. (2017) Designing allostery-inspired response in mechanical networks. Proc. Natl. Acad. Sci. U.S.A. 114, 2520–2525 10.1073/pnas.1612139114 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 32. del Sol A., Tsai C.-J., Ma B., and Nussinov R. (2009) The origin of allosteric functional modulation: multiple pre-existing pathways. Structure. 17, 1042–1050 10.1016/j.str.2009.06.008 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 33. del Sol A., Fujihashi H., Amoros D., and Nussinov R. (2006) Residues crucial for maintaining short paths in network communication mediate signaling in proteins. Mol. Syst. Biol. 2, 2006.0019 10.1038/msb4100063 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 34. Berman J. M., Awayda R. G., and Awayda M. S. (2015) Interacting domains in the epithelial sodium channel that mediate proteolytic activation. Channels 9, 281–290 10.1080/19336950.2015.1073869 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 35. Shobair M., Dagliyan O., Kota P., Dang Y. L., He H., Stutts M. J., and Dokholyan N. V. (2016) Gain-of-function mutation W493R in the epithelial sodium channel allosterically reconfigures intersubunit coupling. J. Biol. Chem. 291, 3682–3692 10.1074/jbc.M115.678052 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 36. Kota P., Buchner G., Chakraborty H., Dang Y. L., He H., Garcia G. J., Kubelka J., Gentzsch M., Stutts M. J., and Dokholyan N. V. (2014) The N-terminal domain allosterically regulates cleavage and activation of the epithelial sodium channel. J. Biol. Chem. 289, 23029–23042 10.1074/jbc.M114.570952 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 37. Shirvanyants D., Ding F., Tsao D., Ramachandran S., and Dokholyan N. V. (2012) Discrete molecular dynamics: an efficient and versatile simulation method for fine protein characterization. J. Phys. Chem. B 116, 8375–8382 10.1021/jp2114576 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 38. Proctor E. A., and Dokholyan N. V. (2016) Applications of discrete molecular dynamics in biology and medicine. Curr. Opin. Struct. Biol. 37, 9–13 10.1016/j.sbi.2015.11.001 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 39. Sharma S., Ding F., and Dokholyan N. V. (2007) Multiscale modeling of nucleosome dynamics. Biophys. J. 92, 1457–1470 10.1529/biophysj.106.094805 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 40. Aleksandrov A. A., Kota P., Aleksandrov L. A., He L., Jensen T., Cui L., Gentzsch M., Dokholyan N. V., and Riordan J. R. (2010) Regulatory insertion removal restores maturation, stability and function of DeltaF508 CFTR. J. Mol. Biol. 401, 194–210 10.1016/j.jmb.2010.06.019 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 41. Scardoni G., Tosadori G., Pratap S., Spoto F., and Laudanna C. (2015) Finding the shortest path with PesCa: a tool for network reconstruction. F1000Res. 4, 484 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 42. Doncheva N. T., Assenov Y., Domingues F. S., and Albrecht M. (2012) Topological analysis and interactive visualization of biological networks and protein structures. Nat. Protoc. 7, 670–685 10.1038/nprot.2012.004 [DOI] [PubMed] [Google Scholar]
  • 43. Rosvall M., Axelsson D., and Bergstrom C. T. (2009) The map equation. Eur. Phys. J. Spec. Top. 178, 13–23 10.1140/epjst/e2010-01179-1 [DOI] [Google Scholar]

Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Supplementary Materials

Supporting Information
Download video file (3.6MB, avi)

Articles from The Journal of Biological Chemistry are provided here courtesy of American Society for Biochemistry and Molecular Biology

RESOURCES