Energetics and Dynamics of a Cyclic Oligosaccharide Molecule in a Confined Protein Pore Environment. A Molecular Dynamics Study

Ion selectivity of alpha-hemolysin with beta-cyclodextrin adapter. II. Multi-ion effects studied with grand canonical Monte Carlo/Brownian dynamics simulations

In a previous study of ion selectivity of alpha-hemolysin (alphaHL) in complex with beta-cyclodextrin (betaCD) adapter, we calculated the potential of mean force (PMF) and characterized the self-diffusion coefficients of isolated K(+) and Cl(-) ions using molecular dynamics simulations (Y. Luo et al., "Ion Selectivity of alpha-Hemolysin with beta-Cyclodextrin Adapter: I. Single Ion Potential of Mean Force and Diffusion Coefficient"). In the present effort, these results pertaining to single isolated ions in the wide aqueous pore are extended to take into account multi-ion effects. The grand canonical Monte Carlo/Brownian dynamics (GCMC/BD) algorithm is used to simulate ion currents through the wild-type alphaHL ion channel, as well as two engineered alphaHL mutants, with and without the cyclic oligosaccaride betaCD lodged in the lumen of the pore. The GCMC/BD current-voltage curves agree well with experimental results and show that betaCD increases the anion selectivity of alphaHL. Comparisons between multi-ion PMFs from GCMC/BD simulations and single-ion PMFs demonstrate that multi-ion effects and pore shape are crucial for explaining this behavior. It is concluded that the narrow betaCD adapter increases the anion selectivity of alphaHL because it reduces the pore radius locally, which decreases the ionic screening and the dielectric shielding of the strong electrostatic field induced by a nearby ring of positively charged alphaHL side chains.

Nanoscopic porous sensors

There are thousands of different nanometer-scale pores in biology, many of which act as sensors for specific chemical agents. Recent work suggests that protein and solid-state nanopores have many potential uses in a wide variety of analytical applications. In this review we survey this field of research and discuss the prospects for advances that could be made in the near future.

AC Conductance of Transmembrane Protein Channels. The Number of Ionized Residue Mobile Counterions at Infinite Dilution

Simultaneous measurements of the AC and DC conductances of alpha-hemolysin (alphaHL) ion channels and outer membrane protein F (OmpF) porins in dilute ionic solutions is described. AC conductance measurements were performed by applying a 10 mV rms AC voltage across a suspended planar bilayer of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine in the absence and presence of the protein and detecting the AC current response using phase-sensitive lock-in techniques. The conductances of individual alphaHL channels and OmpF porins were measured in symmetric KCl solutions containing between 5 and 1000 mM KCl. The AC and DC conductances of each protein were in agreement for all solution conditions, demonstrating the reliability of the AC method in single-channel recordings. Linear plots of conductance versus bulk KCl concentration for both proteins extrapolate to significant nonzero conductances (0.150 +/- 0.050 nS and 0.028 +/- 0.008 nS for OmpF and alphaHL, respectively) at infinite KCl dilution. The infinite dilution conductances are ascribed to mobile counterions of the ionizable residues within the protein lumens. A method of analyzing the plots of conductance vs KCl concentration is introduced that allows the determination of the concentration of mobile counterions associated with ionizable groups without knowledge of either the protein geometry or the ion mobilities. At neutral pH, an equivalent of 3 mobile counterions (K+ or Cl-) is estimated to contribute to the conductivity of the alphaHL channel.

Structure and energetics of channel-forming protein-polysaccharide complexes inferred via computational statistical thermodynamics

The ion channel protein alpha-hemolysin (alphaHL) forms supramolecular complexes with the polysaccharide beta-cyclodextrin (betaCD). This system has potential uses in nanoscale device engineering. It has been found recently that betaCD formed longer- or shorter-lived complexes with some engineered alphaHL mutants then with a wild type protein (Gu et al. J. Gen. Physiol. 2001, 118, 481-493). However, how changes in the protein sequence affect complex lifetime was not completely understood in part due to the lack of knowledge of structures of these metastable complexes. In this paper, we present an extensive molecular modeling study of the betaCD-alphaHL and selected mutant complexes to gain insights into the betaCD-alphaHL interaction mechanisms and to predict possible structures and energetics of the complexes. Thermodynamic integration (TI) and umbrella sampling (US) techniques (with the weighted histogram analysis method (WHAM)) were used to calculate the relative binding affinities of the complexes formed with the wild type alphaHL and the M113N, M113E, M113A, and M113V mutants. Our results are in excellent agreement with experiment. While betaCD-M113N and betaCD-M113A complexes were stable in the configuration of the wild type complex, the equilibrium configuration of the betaCD-M113V and betaCD-M113E complexes was significantly different. In these cases, TI alone was insufficient to accurately calculate the corresponding free energy differences. By utilizing a TI/US combination in a novel manner, we were able to accurately calculate free energy changes in these flexible systems. The betaCD-M113A and betaCD-M113E complexes, which exhibited shorter lifetimes than other complexes in an experiment, in simulations exhibited greater flexibility and higher water solvation of the betaCD adapter. MD simulations of the betaCD-M113N complex with betaCD in a downward orientation were also performed.

Imaging alpha-hemolysin with molecular dynamics: ionic conductance, osmotic permeability, and the electrostatic potential map

alpha-Hemolysin of Staphylococcus aureus is a self-assembling toxin that forms a water-filled transmembrane channel upon oligomerization in a lipid membrane. Apart from being one of the best-studied toxins of bacterial origin, alpha-hemolysin is the principal component in several biotechnological applications, including systems for controlled delivery of small solutes across lipid membranes, stochastic sensors for small solutes, and an alternative to conventional technology for DNA sequencing. Through large-scale molecular dynamics simulations, we studied the permeability of the alpha-hemolysin/lipid bilayer complex for water and ions. The studied system, composed of approximately 300,000 atoms, included one copy of the protein, a patch of a DPPC lipid bilayer, and a 1 M water solution of KCl. Monitoring the fluctuations of the pore structure revealed an asymmetric, on average, cross section of the alpha-hemolysin stem. Applying external electrostatic fields produced a transmembrane ionic current; repeating simulations at several voltage biases yielded a current/voltage curve of alpha-hemolysin and a set of electrostatic potential maps. The selectivity of alpha-hemolysin to Cl(-) was found to depend on the direction and the magnitude of the applied voltage bias. The results of our simulations are in excellent quantitative agreement with available experimental data. Analyzing trajectories of all water molecule, we computed the alpha-hemolysin's osmotic permeability for water as well as its electroosmotic effect, and characterized the permeability of its seven side channels. The side channels were found to connect seven His-144 residues surrounding the stem of the protein to the bulk solution; the protonation of these residues was observed to affect the ion conductance, suggesting the seven His-144 to comprise the pH sensor that gates conductance of the alpha-hemolysin channel.

Ion permeation through the alpha-hemolysin channel: theoretical studies based on Brownian dynamics and Poisson-Nernst-Plank electrodiffusion theory

Identification of the molecular interaction governing ion conduction through biological pores is one of the most important goals of modern electrophysiology. Grand canonical Monte Carlo Brownian dynamics (GCMC/BD) and three-dimensional Poisson-Nernst-Plank (3d-PNP) electrodiffusion algorithms offer powerful and general approaches to study of ion permeation through wide molecular pores. A detailed analysis of ion flows through the staphylococcal alpha-hemolysin channel based on series of simulations at different concentrations and transmembrane potentials is presented. The position-dependent diffusion coefficient is approximated on the basis of a hydrodynamic model. The channel conductance calculated by GCMC/BD is approximately 10% higher than (electrophysiologically measured) experimental values, whereas results from 3d-PNP are always 30-50% larger. Both methods are able to capture all important electrostatic interactions in equilibrium conditions. The asymmetric conductance upon the polarity of the transmembrane potential observed experimentally is reproduced by GCMC/BD and 3d-PNP. The separation of geometrical and energetic influence of the channel on ion conduction reveals that such asymmetries arise from the permanent charge distribution inside the pore. The major determinant of the asymmetry is unbalanced charge in the triad of polar residues D127, D128, and K131. The GCMC/BD or 3d-PNP calculations reproduce also experimental reversal potentials and permeability rations in asymmetric ionic solutions. The weak anionic selectivity of the channel results from the presence of the salt bridge between E111 and K147 in the constriction zone. The calculations also reproduce the experimentally derived dependence of the reversible potential to the direction of the salt gradient. The origin of such effect arises from the asymmetrical distribution of energetic barriers along the channel axis, which modulates the preferential ion passage in different directions.