Igor Bodrenko

Filtering with Electric Field: The Case of E. coli Porins

Although the role of general bacterial porins is well established as main pathway for polar antibiotics, the molecular details of their mode-of-action are still under debate. Using molecular dynamics simulations and water as a probe, we demonstrated the strong ordering of water molecules, differently tuned along the axis of diffusion in the transversal direction. Preserved features and important differences were characterized for different channels, allowing to put forward a general model for molecular filtering. The intrinsic electric field, responsible for water ordering, (i) filters those dipolar molecules that can compensate the entropy decrease by dipole alignment in the restricted region and (ii) might create an additional barrier by changing direction when escaping from the restricted region. We tested this model using two antibiotics, cefepime and cefotaxime, through metadynamics free energy calculations. A rational drug design should take this into account for screening molecules with improved permeation properties.

Bacterial Outer Membrane Porins as Electrostatic Nanosieves: Exploring Transport Rules of Small Polar Molecules

Transport of molecules through biological membranes is a fundamental process in biology, facilitated by selective channels and general pores. The architecture of some outer membrane pores in Gram-negative bacteria, common to other eukaryotic pores, suggests them as prototypes of electrostatically regulated nanosieve devices. In this study, we sensed the internal electrostatics of the two most abundant outer membrane channels of Escherichia coli, using norfloxacin as a dipolar probe in single molecule electrophysiology. The voltage dependence of the association rate constant of norfloxacin interacting with these nanochannels follows an exponential trend, unexpected for neutral molecules. We combined electrophysiology, channel mutagenesis, and enhanced sampling molecular dynamics simulations to explain this molecular mechanism. Voltage and temperature dependent ion current measurements allowed us to quantify the transversal electric field inside the channel as well as the distance where the applied potential drops. Finally, we proposed a general model for transport of polar molecules through these electrostatic nanosieves. Our model helps to further understand the basis for permeability in Gram-negative pathogens, contributing to fill in the innovation gap that has limited the discovery of effective antibiotics in the last 20 years.

General Method to Determine the Flux of Charged Molecules through Nanopores Applied to β-Lactamase Inhibitors and OmpF

A major challenge in the discovery of the new antibiotics against Gram-negative bacteria is to achieve sufficiently fast permeation in order to avoid high doses causing toxic side effects. So far, suitable assays for quantifying the uptake of charged antibiotics into bacteria are lacking. We apply an electrophysiological zero-current assay using concentration gradients of β-lactamase inhibitors combined with single-channel conductance to quantify their flux rates through OmpF. Molecular dynamic simulations provide in addition details on the interactions between the nanopore wall and the charged solutes. In particular, the interaction barrier for three β-lactamase inhibitors is surprisingly as low as 3-5 kcal/mol and only slightly above the diffusion barrier of ions such as chloride. Within our macroscopic constant field model, we determine that at a zero-membrane potential a concentration gradient of 10 μM of avibactam, sulbactam, or tazobactam can create flux rates of roughly 620 molecules/s per OmpF trimer.

Rationalizing the permeation of polar antibiotics into Gram-negative bacteria

The increasing level of antibiotic resistance in Gram-negative bacteria, together with the lack of new potential drug scaffolds in the pipeline, make the problem of infectious diseases a global challenge for modern medicine. The main reason that Gram-negative bacteria are particularly challenging is the presence of an outer cell-protecting membrane, which is not present in Gram-positive species. Such an asymmetric bilayer is a highly effective barrier for polar molecules. Several protein systems are expressed in the outer membrane to control the internal concentration of both nutrients and noxious species, in particular: (i) water-filled channels that modulate the permeation of polar molecules and ions according to concentration gradients, and (ii) efflux pumps to actively expel toxic compounds. Thus, besides expressing specific enzymes for drugs degradation, Gram-negative bacteria can also resist by modulating the influx and efflux of antibiotics, keeping the internal concentration low. However, there are no direct and robust experimental methods capable of measuring the permeability of small molecules, thus severely limiting our knowledge of the molecular mechanisms that ultimately control the permeation of antibiotics through the outer membrane. This is the innovation gap to be filled for Gram-negative bacteria. This review is focused on the permeation of small molecules through porins, considered the main path for the entry of polar antibiotics into Gram-negative bacteria. A fundamental understanding of how these proteins are able to filter small molecules is a prerequisite to design/optimize antibacterials with improved permeation. The level of sophistication of modern molecular modeling algorithms and the advances in new computer hardware has made the simulation of such complex processes possible at the molecular level. In this work we aim to share our experience and perspectives in the context of a multidisciplinary extended collaboration within the IMI-Translocation consortium. The synergistic combination of structural data, in vitro assays and computer simulations has proven to give new insights towards the identification and description of physico-chemical properties modulating permeation. Once similar general rules are identified, we believe that the use of virtual screening techniques will be very helpful in searching for new molecular scaffolds with enhanced permeation, and that molecular modeling will be of fundamental assistance to the optimization stage.

yVDAC2, the second mitochondrial porin isoform of Saccharomyces cerevisiae

The yeast Saccharomyces cerevisiae genome is endowed with two distinct isoforms of Voltage-Dependent Anion Channel (VDAC). The isoform yVDAC2 is currently understudied with respect to the best known yVDAC1. Yet, since the discovery, the function of yVDAC2 was unclear, leading to the hypothesis that it might be devoid of a channel function. In this work we have elucidated, by bioinformatics modeling and electrophysiological analysis, the functional activity of yVDAC2. The conformation of yVDAC2 and, for comparison, of yVDAC1 were modeled using a multiple template approach involving mouse, human and zebrafish structures and both showed to arrange the sequences as the typical 19-stranded VDAC β-barrel. Molecular dynamics simulations showed that yVDAC2, in comparison with yVDAC1, has a different number of permeation paths of potassium and chloride ions. yVDAC2 protein was over-expressed in the S. cerevisiae cells depleted of functional yVDAC1 (Δpor1 mutant) and, after purification, it was reconstituted in artificial membranes (planar lipid bilayer (PLB) system). The protein displayed channel-forming activity and the calculated conductance, voltage-dependence and ion selectivity values were similar to those of yVDAC1 and other members of VDAC family. This is the first time that yVDAC2 channel features are detected and characterized.

Sensing Single Molecule Penetration into Nanopores: Pushing the Time Resolution to the Diffusion Limit

To quantify small molecule penetration into and eventually permeation through nanopores, we applied an improved excess-noise analysis of the ion current fluctuation caused by entering molecules. The kinetic parameters of substrate entry and exit are derived from a two-state Markov model, analyzing the substrate concentration dependence of the average ion current and its variance. Including filter corrections allows one to detect the transition rates beyond the cutoff frequency, fc, of the instrumental ion-current filter. As an application of the method, we performed an analysis of the single-channel ion current of Meropenem, an antibiotic of the carbapenem family, interacting with OmpF, the major general outer membrane channel of Escherichia coli bacteria. At 40 °C we detected the residence time of Meropenem inside OmpF of about 500 ns-more than 2 orders of magnitude smaller than fc-1 and close to the diffusion limit of few hundred nanoseconds. We also have established theoretical limit conditions under which the substrate-induced channel blockages can be detected and suggest that submicrosecond-scale gating kinetic parameters are accessible with existing experimental equipment.

Getting drugs through small pores: exploiting the porins pathway in Pseudomonas aeruginosa

Understanding molecular properties of outer membrane channels of Gram-negative bacteria is of fundamental significance as they are the entry point of polar antibiotics into bacteria. Outer membrane proteomics revealed OccK8 (OprE) to be among the five most expressed substrate specific channels of the clinically important Pseudomonas aeruginosa. The high-resolution X-ray structure and electrophysiology highlighted a very narrow pore. However, experimental in vitro methods showed the transport of natural amino acids and antibiotics, among them ceftazidime. We used molecular dynamics simulations to reveal the importance of the physicochemical properties of ceftazidime in modulating the translocation through OccK8, proposing a structure-function relationship. As in general porins, the internal electric field favors the translocation of polar molecules by gainful energy compensation in the central constriction region. Importantly, the comparatively narrow OccK8 pore can undergo a substrate-induced expansion to accommodate relatively large-sized substrates.

Getting drugs into Gram-negative bacteria: Rational rules for permeation through general porins

Small, hydrophilic molecules, including most important antibiotics in clinical use, cross the Gram-negative outer membrane through the water-filled channels provided by porins. We have determined the X-ray crystal structures of the principal general porins from three species of Enterobacteriaceae, namely Enterobacter aerogenes, Enterobacter cloacae, and Klebsiella pneumoniae, and determined their antibiotic permeabilities as well as those of the orthologues from Escherichia coli. Starting from the structure of the porins and molecules, we propose a physical mechanism underlying transport and condense it in a computationally efficient scoring function. The scoring function shows good agreement with in vitro penetration data and will enable the screening of virtual databases to identify molecules with optimal permeability through porins and help to guide the optimization of antibiotics with poor permeation.

Water-Based Screening of Antibiotics Permeability

Multi-drug resistance bacteria are a challenging problem of contemporary medicine. A new molecular framework for identifying and developing new antinfectives is needed. This is especially true for Gram-negative bacteria where the presence of the additional outer membrane (OM) hinders the access to internal targets.1 In the OM, general diffusion porins are expressed to facilitate the entry of polar molecules, and today porins are believed to be the main pathway for polar antibiotics. Bacteria can develop resistance by reducing the OM permeability, either by modulating the expression of porins, or by selecting key residues mutations that alter the permeability of the porins themselves.2 The discovery of new effective polar antibiotics passes through the determination of the electrostatic interactions controlling translocation through porins.3Aiming to reveal the electrostatic field inside bacterial porins, we have developed a Molecular Dynamics based method to explore the electrostatics of any solvated protein.4 This method allows us not only to shed some light on protein electrostatics but also to investigate the effects caused by media conditions, e.g., pH and ion concentration, with full atom resolution. Furthermore, using the electrostatic profile of the channel and simple physico-chemical properties of antibiotics, we have implemented a simple theoretical model to score drugs for their permeability. These results may have important implications for the formulation of a general model for antibiotics translocation, and can be taken into account for screening molecules with improved permeation properties in rational drug designing.1. Nikaido, H. Microbiol Mol Biol Rev 67, 593-656 (2003).2. Lou, H. et al. PLoS ONE 6, e25825 (2011).3. A. Kumar et al. J Phys Chem B 114, 9608-9616 (2010).4. S. Acosta-Gutierrez. J Phys Chem Lett 6, 1807-1812 (2015).