Abstract
The cellular membrane constitutes the first element that encounters a wide variety of molecular species to which a cell might be exposed. Hosting a large number of structurally and functionally diverse proteins associated with this key metabolic compartment, the membrane not only directly controls the traffic of various molecules in and out of the cell, it also participates in such diverse and important processes as signal transduction and chemical processing of incoming molecular species. In this article, we present a number of cases where details of interaction of small molecular species such as drugs with the membrane, which are often experimentally inaccessible, have been studied using advanced molecular simulation techniques. We have selected systems in which partitioning of the small molecule with the membrane constitutes a key step for its final biological function, often binding to and interacting with a protein associated with the membrane. These examples demonstrate that membrane partitioning is not only important for the overall distribution of drugs and other small molecules into different compartments of the body, it may also play a key role in determining the efficiency and the mode of interaction of the drug with its target protein.
Keywords: Membrane, Membrane Proteins, Molecular Dynamics, Small Molecules
Graphical Abstract
Membrane Activity is a Critical Factor in the Biology of Small Molecules
Membranes are abundant in biology, acting as the effective barrier that compartmentalizes life into cells and organelles that can accumulate resources and reproduce [1, 2]. This compartmentalization of life allows for concentration gradients to exist between cellular structures, which can be established or exploited by membrane-embedded proteins, such as the creation and use of a proton gradient by the oxidative phosphorylation pathway in mitochondria [3]. Membrane-embedded or membrane-associated proteins also act as the intermediaries for cellular signaling [4], allowing biological systems to respond to changing environmental conditions over a range of timescales, for instance by triggering muscle contraction [5, 6] or altering gene expression [7, 8]. Thus while membrane proteins account for only ~ 30% of the human proteome [9, 10], they play an outsized role in controlling biological processes by regulating the transit of matter and information across the membrane. Indeed, dysregulation of membrane crossing events can have profound effects leading to disease [11, 12] or even death [13, 14].
Some molecules impact biological processes without crossing the bilayer, and instead partition into the membrane, penetrating below the lipid headgroups, and diffuse within a single bilayer leaflet. This partitioning is fundamentally a result of the bilayer structure (Fig. 1) and the detailed interactions of the small molecule with individual lipids. Biological membranes are composed of two leaflets of amphipathic phospholipid molecules that can be roughly described as three chemically distinct regions: the hydrophillic headgroup, the hydrophobic fatty acid acyl tails, and a connector between the two, typically derived from glycerol (Fig. 1A). Each individual lipid can accommodate a large number of conformational states, particularly as it relates to its two acyl tails (Fig. 1B), bestowing a flexibility that helps to eliminate gaps in the membrane (Fig. 1C) while permitting a hospitable environment for specific types of molecules, as required for partitioning. Molecules that partition strongly into the hydrophobic core of the membrane, as measured by their large membrane partition coefficient logP, tend to be only weakly soluble in aqueous solution[15]. At the molecular level, weak direct interactions between solvent and solute cause solute to be excluded from the solvent, which seeks to maximize its own entropy [16]. As a result, the membrane accumulates these species, yielding up to a 10-million-fold enrichment of these molecules within the membrane relative to their concentration in solution [17, 18].
The increased concentration of molecular species within membranes is heavily utilized in biological processes. Common gases such as O2, NO and CO2 congregate in lipid membranes [19–24], and reach their target sites within membrane-embedded proteins in rapid fashion, presumably by the existence of protein tunnels leading from the membrane core [25–28]. Additionally, contemporary pharmaceuticals and drug-like signaling molecules often depend on partitioning into the membrane to find their binding target, approximately ~ 60% of which are membrane-associated [29]. Membrane-associated proteins themselves may also insert structural elements into the membrane to better carry out their function [30–33]. This includes antimicrobial peptides, which are thought embed into the membrane and generate a pore-like structure that kills the target [34], as well as other signaling or metabolic proteins that depend on access to membrane-embedded substrates, and may anchor themselves to the membrane via electrostatic or hydrophobic interactions [35–37].
Designing experiments to directly observe membrane partitioning or insertion phenomena is hindered by the exacting requirements the membrane places upon the experimenter. The membrane is a fluid environment [38], undergoing macroscopic phase changes within minutes [39] and nanoscopic lipid rearrangements on the microsecond timescale [40], precluding static diffraction techniques from being an effective tool at elucidating the details of molecule-membrane interaction. Membranes are also too thin (~ 4 nm thick) to measure membrane penetration depth using super-resolution fluorescence techniques, although other methods such as AFM can determine the fine structure of membranes [41]. The greatest experimental successes have come with ensemble spectroscopic techniques such as NMR [42–44], EPR [45, 46], and fluorescence quenching [47, 48] which have the sensitivity needed for reliable measurements, but are still more complex than their equivalent solution experiments.
As a result of the complexity and technical difficulties associated with experimental methods, modeling membrane processes through molecular dynamics (MD) simulations has a long history [49–51] in advancing our understanding of membrane biology by simultaneously exploring length and timescales unobtainable by other means [52, 53]. Membrane modeling itself has advanced significantly over the intervening 40 years; the computing power available for the simulations has grown exponentially through Moore’s Law, and the forcefields used to describe the internal dynamics and intermolecular interactions have become increasingly accurate over successive generations [54–57]. Recently developed small molecule forcefields (eg. GAFF [58], CGenFF [59], OPLS [60]) and tools for expanding parameter coverage (Antechamber [61], CGenFF Program [62], MATCH [63], flTK [64]) have greatly expanded the chemical library that molecular dynamics can access. Leveraging these advances, it is now possible to simulate real membrane systems for microseconds [65] to potentially milliseconds [66], for the first time allowing direct observations of the interactions between molecules and the membrane on the single molecule level.
For processes operating on timescales that exceed what can be achieved using simple equilibrium simulations to collect adequate statistics, working with in silico models allows a great deal of freedom and creativity to apply computational techniques that are not bound to constraints of the physical world. For example, the use of alternative membrane representations can greatly extend the timescale accessible through simulations. Coarse grained and united atom membrane representations map multiple atoms into a single simulated particle, which reduces the simulation particle count and allows for longer simulation timesteps [67, 68]. The particle count can be reduced even further by removing the explicit membrane atoms altogether, replacing them with an implicit membrane model in which the effect of the membrane is applied as a continuum with varying dielectric [69], again enabling longer simulations. Membrane representations that increase the diffusion constant of the lipids [70] by making them shorter and adding an organic solvent to fill the void have also been developed [71], which accelerates the kinetics of insertion processes [72] while preserving the energetics and specificity of a conventional membrane representation at the membrane periphery [73]. While each of these methods has their advantages, they make sacrifices in the accuracy of the molecular interactions; hence, the gold standard for MD simulation remains at the fully atomic scale.
Alternatively, enhanced sampling techniques can extend the reach of equilibrium simulation to studying membrane partitioning and insertion by biasing the sampling in favor of rarely visited states. This sampling can be explicitly defined by the user, such as in umbrella sampling where an external harmonic potential is added to a specific point on the reaction coordinate [74, 75], or guided by the system, such as in metadynamics where the resulting free energy profile is built up as the system traverses reaction coordinate space [76]. In either case, a complete free energy profile emerges, providing invaluable insight as to the location and height of energetic barriers and troughs along the reaction pathway. Combined with advanced analyses to complement these methods [77–79], computational scientists are well armed to answer fundamental questions of how small molecule interactions have a big impact in biology.
In this review, we present specific examples taken from our own research in which the interaction of small molecules with membrane proteins is mediated by and facilitated through their interaction with the lipid bilayer. This includes entrance of gas molecules into bioenergetic proteins from the membrane, binding of anesthetics to a membrane channel via a membrane-accessible pathway, membrane-mediated conformational change in proteins that bind and metabolize drugs, and lateral binding of lipids into an ABC transporter. In all cases the small molecules initially partition into the membrane, from where they finally reach their protein target. Both of these steps can be effectively described using MD simulations by combining equilibrium simulation with enhanced sampling techniques.
Lipid mediated essential functions of gases in membrane proteins
Membrane partitioning and permeability of gases are vital processes to life. Small dioxygen (O2), nitric oxide (NO), and carbon dioxide (CO2) gases function as substrates or ligands to many proteins, such as myoglobin, guanylyl cyclase and cytochrome c oxidase, triggering and regulating biochemical processes, which include but are not limited to cell signaling and metabolism. Some processes occur at the cell surface, whereas others occur inside the membrane or inside the cell. Due to the hydrophobic nature of lipids, the primary constituents of membranes, hydrophilic, charged, or large molecules require membrane channels or transporter proteins to facilitate translocation across the membrane. O2, NO, and CO2 molecules, on the other hand, can spontaneously diffuse across the membrane without having to overcome large energetic barriers, and represent some of the simplest small molecules that interact with the membrane both as a function of their size and chemical properties.
The process of gas partitioning into proteins or lipids is particularly well-suited using MD simulations. In one of the most effective of simulation-based approaches, which we term explicit ligand sampling (ELS) simulations [80–84], gas molecules are randomly placed initially in the simulation system and allowed to diffuse in an unbiased manner during the run. The ELS approach enables direct monitoring of partitioning events for individual gas molecules and provides dynamic descriptions of proteins or lipids associated with the gas partitioning processes; however, ELS is sensitive to the timescale of simulation relative to protein motion and ligand diffusion rates. In a protein or other complex systems, the target binding sites(s) for gases may be buried deep within the structure and there may be non-specific binding sites. Conformational changes ranging from localized, small breathing motions of side chains to global structural changes may be required for small molecules, even gases [85, 86], to gain access to their target binding site. Hence, with a small copy number of a gas molecule, full binding events may not be captured on the simulation timescale. Moreover, the estimations of thermodynamic and kinetic quantities, such as partitioning and permeability coefficients, require sufficient sampling of multiple events across the entire configuration space. One method within the ELS repertoire to enhance sampling for ligands that interact weakly with their surroundings is so-called “Flooding” simulations, in which ligands are added to the simulation system in high copy numbers that may exceed typical physiological concentrations [81, 87–89]. With such high numbers of ligands in the simulation system, sampling coverage of binding sites and binding pathways of molecules is maximized while the total simulation cost is significantly reduced.
An alternative and complementary approach to ELS for characterizing binding pathways of gas molecules to target binding sites in proteins is termed implicit ligand sampling (ILS) [80, 90–94]. Since individual gas molecules have small volumes and interact weakly with proteins and lipids, their presence at reasonable concentrations negligibly perturbs the overall protein or membrane structure. Following this assumption, snapshots of protein structures taken from crystal structures or trajectory frames generated by MD simulation in the absence of a targeting molecule may be used to quantitatively analyze the binding affinity for the ligand over the entire structure. Performing this affinity analysis over an ensemble of structures allows for massive ligand sampling to search for viable access pathways and binding sites. ILS is performed in a defined three-dimensional grid covering the protein or membrane, in which the grid is divided into several subgrids or positions where the targeting molecule is independently sampled. ILS calculates interaction energies between the targeting molecule and its surroundings (Ei) in any position inside the grid over an ensemble of protein conformations and ligand orientations [90], which estimate a 3D free energy map for inserting a molecule at a particular position (ΔGi),
where, p0 (in vacuum) = 1 and pi is the probability of inserting a molecule at position i. The power of the ILS approach is that it can simultaneously sample a molecule in all positions of the configuration space which cannot be achieved by ELS or flooding simulations.
Partitioning of Small Gases in Membranes
Our group and others have studied the partitioning of O2, NO, and CO2 in phospholipid bilayers using both the ELS and ILS methods [80, 82, 93–97]. As an example, in one of our studies using the ELS technique, independent simulations of O2 and NO membrane partitioning were performed using 125 copies of the gas molecule (300 mM) initially placed in the bulk aqueous solution, followed by 220 ns of equilibrium simulation. The distribution of gas molecules in the membrane vs. the aqueous phase plateaued within the first 20 ns of the simulation (Fig. 2a). Accordingly, the last 200 ns of the simulation trajectory were used to calculate the partitioning free energy profiles with respect to the equilibrated gas concentration in bulk solvent. The partitioning free energy profiles calculated from ELS align with those calculated from ILS simulations (Fig. 2a). Features present in the profile, such as maxima, minima, and inflection points, correspond to three important regions of the membrane (Fig. 1): polar head groups, hydrophobic lipid tails, and the interface between the two membrane leaflets. These profiles demonstrate that O2 and NO spontaneously partition into the membrane from the aqueous solution by first overcoming a small free energy barrier of only 0.5 kcal/mol located in the polar head group region, followed by favorable penetration into the lipid tail region, and finally settle largely near the midpoint of the bilayer corresponding to the global minimum of −2 to −1.5 kcal/mol. These results are consistent with those from obtained from fluorescence, NMR, and ESR experimental studies [22–24] and with those from previous simulations using free energy methods (e.g., ILS and umbrella sampling) [80, 94–98], establishing that small, hydrophobic gases are 5–10 fold more soluble in the membrane than in the aqueous solution. The location of the global minimum allows for O2 and NO molecules to readily migrate between upper and lower membrane leaflets, a characteristic that will be contrasted by larger amphipathic molecules described in later sections.
The computational studies of gas molecule partitioning into membrane described above employed a fixed charge model for the gas molecules. The absence of polarizability, in general, is one of the limitations in the majority of classical MD simulations. Small diatomic gases such as O2 are commonly described either as a completely apolar species (q = 0.0 e on both atoms) or by a slightly charged (e.g., q = ±0.02 e) model [28, 80, 90, 93], with the latter model designed to capture part of the polarizability through the molecular rotation of the small molecule. In another study, Hub and de Groot modeled the quadrupole moment of O2 (−0.82 D Å) by introducing a dummy atom with a charge of q = +0.452 e at the midpoint of the two oxygen atoms, neutralized by negative charges of q = −0.226 e on each oxygen atom [95]. As most of the above-described models result in comparable O2 membrane partitioning profiles, lack of polarizability does not seem to introduce a major shortcoming for O2 simulations. We note, however, that the inclusion of polarizability can significantly affect the partitioning of halogenated or hydroxylated compound, which are highly polarizable, into the membrane [99].
Membrane Delivery Pathway for O2 in Cytochrome c Oxidase
Molecular O2 plays a crucial role in bioenergetics as the final electron acceptor of aerobic respiration, which occurs in the inner mitochondria membrane of eukaryotes and in the periplasmic membrane of prokaryotes. In aerobic respiration, O2 is exergonically reduced to water by its terminal oxidase, enzyme cytochrome c oxidase (CcO) [3, 100–107]. Reduction of O2 occurs in the bimetallic site of CcO composed of a heme cofactor bearing a copper ion sequestered inside. The reaction requires protons which enter from the cytoplasmic side of the bacterial membrane via hydrophilic channel(s) [101, 104, 108, 109], electrons which are delivered by cytochrome c on the periplasmic surface, and the entry of O2 from bulk solution. The free energy released from the reaction is coupled to generate the proton motive force for the biosynthesis of ATP, as well as other energy-requiring processes [100, 102, 103, 105, 107, 110, 111].
Our study of a bacterial Thermus thermophilus CcO or cytochrome ba3 (CcO ba3) exemplifies the role of lipids in delivering hydrophobic gaseous substrates to the reaction center [28]. CcO ba3 is one of functionally and structurally well-characterized CcO enzymes [26, 27, 112–116]. The binding of O2 has been experimentally studied using X-ray crystallographic [117, 118] and spectroscopic techniques [26, 119]. From these methods, O2 was determined to be delivered to the bimetallic site of CcO ba3 at 1×109 M−1s−1, which is at the diffusion limit. Hybrid pressurization X-ray crystallography employing xenon gas (Xe) as an electron-dense stand-in for O2 with similar size and chemical properties, resolved the position of several Xe atoms in CcO ba3 [117, 118]. The Xe atoms were all located in a 25 Along hydrophobic tunnel within the protein, which is parallel and exposed to the membrane core [117, 118]. This hydrophobic tunnel is also observed in the structures resolved in the absence of Xe [112, 115, 120], indicating that the tunnel structure is not a result ligand-induced perturbations.
To provide quantitative descriptions of O2 delivery process in CcO ba3 in atomistic detail, we employed both ELS and ILS approaches (Fig. 3a–c). As described for the ILS method, a simulation was performed in the absence of O2 and the resulting trajectory was analyzed for potential O2 binding regions. These calculations reveal highly favorable O2 binding regions within the protein shown as red isosurfaces in Fig. 3b, in which the partitioning free energy (ΔG) of O2 with respect to the aqueous solution is −3.0 kcal/mol. One of these favorable regions forms a Y-shaped pathway in the same position as the experimentally observed Xe-bound tunnel, further supporting this tunnel as potential O2 delivery pathway.
Complementary ELS simulations were performed for tens of nanoseconds and were repeated to ensure the reproducibility of results (Fig. 3a). In each simulation, one hundred copies of O2, corresponding to 210 mM concentration, were added to the system. O2 molecules were initially distributed in the membrane, aqueous solution, or both phases to allow O2 to unequivocally search for its delivery pathways. ELS simulations spontaneously captured the migration of O2 molecules to the catalytic site exclusively via the Xe-bound tunnel, and are consistent with ILS calculations (Fig. 3c). No additional pathways were found to lead O2 into the catalytic site during the course of the simulations. Further, the first delivery event of O2 to the reaction center required only a few nanoseconds of simulation, reproducing the experimentally measured delivery rate of O2 at the diffusion-controlled limit.
General Anesthetics: Utilizing the Membrane as a Conduit to Modulation Sites in Ion Channels
Although the simulation of simple gases also applies to the study of general anesthetics (GAs), such as for xenon [121–125] which is both a gas and a known anesthetic, the simulation of other structuraly complex GAs in the membrane environment introduces additional obstacles and complexity. The need for de novo parametrization, together with the additional degrees of freedom available to GAs, allows for more diverse and complex interactions with membrane lipids and associated proteins. The discovery of general anesthetics over 150 years ago has generated one question that has yet to be answered; namely, what is the exact molecular mechanism(s) by which anesthetics exert their action? Early theories proposed a non-specific biological membrane disruption mechanism [126]. The first studies on the physical properties of anesthetics [127] found a direct correlation between the potency of an anesthetic and its oil:water partition coefficient, lending support to the theory. This phenomenon, deemed the “Meyer-Overton Hypothesis”, dominated clinical and scientific thinking on the molecular mechanism of anesthesia for well over a century [128]. Research on this subject has shifted significantly, however, as physicochemical studies started to show stereoisomers having different anesthetic potency [129–131] and long-chain alcohols having less anesthetic potency than short-chain alcohols [132, 133], both being contradictory to a non-specific membrane disruption mechanism. Moreover, biochemical [134–137], structural [138–140], and computational [87, 141, 142] studies have provided additional evidence that argues against the Meyer-Overton hypothesis and, instead, point to a family of pentameric ligand-gated ion channels (pLGICs), namely the Cys-loop family of receptors, as the main targets of general anesthetics, although other targets have been described [143, 144]. In this section, we describe the our simulations to study how a class of clinically used inhaled anesthetics partition into the membrane and bind to the membrane embedded pLGIC proteins.
Membrane Partitioning of Inhaled Anesthetics
In constrast to the O2 and NO gases discussed above, which are described by Lennard-Jones terms and a single bond parameter, dynamic descriptions of small molecule anesthetics require substantially more parameters. Moreover, due to the intimate interaction between anesthetics and ion channels, the quality of the parameters heavily influences the quality of the simulation data. Early endeavors to perform MD simulations on the interaction of anesthetics and membranes required de novo parametrization. These early studies fit classical molecular mechanics force field parameters by multiple iterations of manual adjustment against quantum mechanical data [141, 145, 146]; beyond this, however, little benchmarking in the form of comparing simulated physical properties of these molecules to experimentally determined physical properties had been reported. These studies predate the release of generalized variants of popular biopolymer force fields, such as the Generalized AMBER Force Filed (GAFF) [58], and the CHARMM General Force Field (CGenFF) [59], which aim to provide coverage for substructures and functional groups that are commonly found in biomedically relevant small molecules, and do so quite well for a limited subset of drug-like molecules [147]. Coverage for inhaled anesthetics, which are often heavily halogenated, has remained poor due to the complexity of reproducing the physical properties of halogens using a classical force field. Alternatively, the OPLS force field is well parametrized to describe small molecules [148, 149]; however, robust support for lipid parameters has only recently been developed [150, 151], relative to the long-standing availability and highly optimized parameters for CHARMM [54, 152–154] and AMBER [55, 155] parameter sets.
In order to conduct studies on the effect of anesthetics on membrane structure, we needed to first parametrize the inhaled anesthetics, desflurane, isoflurane, sevoflurane, and propofol. While there are several resources available to obtain parameters, typically by analogy [62, 63, 156], we used the Force Field Toolkit (ffTK) [64]. ffTK was explicitly designed to develop parameters from first principles in accordance with the best practices for maintaining compatibility with the CHARMM family of force fields. This approach leveraged highly transferable parameters for the Lennard-Jones (LJ) term while optimizing all partial atomic charges and bonded parameters (i.e., bonds, angles, and dihedrals) required to describe each anesthetic molecule in a manner that can be directly combined with existing parameters for the protein, lipid, water, and ion components of the molecular system. Further, ffTK provided the flexibility to deviate from standard protocols. Specifically, using the hybrid B3LYP density-functional theory (DFT) has been shown to yield more appropriate target data for fitting fixed charges to polarizable atoms, such as halogens [146, 157, 158], compared to the commonly prescribed Møller-Plesset (MP2) level of theory. In the special case of isoflurane, the parameter describing LJ well-depth for the chlorine atom required additional tuning, performed by hand, to correctly reproduce intermolecular interactions in the bulk phase. The resulting parameters for all anesthetics were benchmarked against experimentally measured condensed phase properties, and were found to reproduce free energies of solvation in water and dodecane (used to represent an oily environment) to within 1 kcal/mol in all cases, often below a kT, in addition to excellent reproduction of density and enthalpy of vaporization [89] measures. The ability to satisfactorily reproduce both bulk phase and aqueous/organic phase properties speaks to the accuracy and robustness of the developed parameters.
With the parameters for several GAs thoroughly vetted against available experimental data, we began to explore the interaction between GAs and the membrane itself. In order to understand how anesthetics interact with their membrane protein targets, we first had to determine where these molecules partitioned in the membrane. Utilizing two approaches, namely umbrella sampling calculations and flooding simulations, we determined that anesthetics preferentially partition to the amphipathic glycerol backbone region of the membrane due to their own amphipathic nature [89]. Building on previous free energy calculations in simple polar:non-polar systems [146, 159, 160], which showed an energetic minimum at the interface between the two phases, our calculations in a more complex water:POPC system showed a 4–5 kcal/mol energetic minimum in the interfacial glycerol backbone region. This region provides interaction for both the hydrophilic and hydrophobic moieties of each GA [89], in contrast to the entirely hydrophobic gas molecules which partitioned to the center of the membrane. In fact, flooding simulations placing many copies of the drug randomly in solution followed by equilibrium simulation [87, 161–164] to probe unbiased interactions with the membrane (Fig. 5A) showed the same distribution [89] for all simulated GAs. Atomic distributions from these simulations (Fig. 4B) showed that each anesthetic also has a preferential orientation within the membrane, namely with the non-polar moiety oriented inward and the polar moiety oriented outward. These studies, therefore, provide a molecular mechanism for the strong preference of anesthetics for the membrane, namely their amphipathic nature.
As opposed to the Meyer-Overton hypothesis, however, once partitioned, GAs do not appear to perturb the physical, chemical, or electrical properties of the membrane [89], though they have been noted to lower the miscibility phase transition temperature [165]. Assessing the structure of a POPC membrane after anesthetic partitioning by analyzing the atomic distribution profile of the lipid chemical components (e.g., carbon tail, glycerol linker, phosphate and choline portions of the head group) and lipid order parameters did not demonstrate any significant signs of membrane disruption. Moreover, the dipole potential and lateral pressure profile of the POPC membrane remained unchanged. In contrast, MD simulations of ketamine, an injectable general anesthetic, have shown small changes in the lateral pressure of a DOPC membrane [166] with supraclinical concentrations. These studies, however, use the R-(−) enantiomer of ketamine that is less potent than the S-(+) form used clinically, making the generalizability of these studies unclear. Therefore, our simulations have demonstrated that while GAs readily partition to the glycerol interfacial region of the membrane, they do not appear to alter the physicochemical properties of the membrane itself.
Anesthetics Accumulate in the Membrane and Bind to Multiple Modulation Sites of Ion Channels
The discovery that anesthetics bind to and affect ion conduction in pLGICs [167, 168], as well as experimental [169] and our computational [89] studies demonstrating that anesthetics do not appreciably affect membrane properties, we were inspired to explore how anesthetics bind to an interact with pLGICs. While previous cryo-EM structures [170] were of too low resolution to perform MD simulations, discovery of a family of bacterial homologues [171] that are sensitive to clinical concentrations of anesthetics [167, 168] opened the field to higher resolution X-ray crystal structures [138, 140, 172–178]. Simulating anesthetics in an a priori bound state determined by crystallography [138] of the Gloeobacter violaceus ligand-gated ion channel (GLIC), a bacterial homologue of eukaryotic pLGIC, we observed that the anesthetics are loosely bound and spontaneously dissociate from the GLIC binding site within 50 ns of simulation. Moreover, once dissociated from the initial binding pocket, the anesthetics diffuse through an intrasubunit, membrane-accessible lumen, eventually partitioning to the glycerol region of the membrane. Analysis of the binding pocket interactions showed that there is not a complimentary arrangement of residues that tightly binds the anesthetic, but a general amphipathic pocket that is accessible to the membrane. The exceedingly low affinity of the general anesthetic for the binding site provides rationale for why such a large concentration is required for clinical effect [167, 168]
Due to the instability of desflurane in the binding pocket uncovered from crystal structures [138], we performed flooding simulations with GLIC (Fig. 5B) to determine a stable anesthetic binding site. From these simulations, two binding sites were elucidated, the site observed by crystallization studies (TM1 site) and a previously undiscovered site, which occupies a proximal location along the binding path. In addition to crystallographic and simulation studies of GLIC supporting the presence of the TM1 site, flooding simulations on a eukaryotic nicotinic acetylcholine receptor homology model [87] have demonstrated the same binding site. Interestingly, in order to reach both the TM1 and TM2 binding sites, the anesthetics must first partition to the membrane (Fig. 5B). This result helps to shed light on why the Meyer and Overton observed a correlation between hydrophobicity and anesthetic potency; hydrophobicity is necessary for membrane partitioning which is required for anesthetic binding. Once anesthetics are bound to the TM1 and TM2 sites simultaneously, the anesthetic becomes more stably bound, occupying the pocket for over 200 ns in the flooding simulations, compared to a little over 40 ns in the a priori state simulations. At this point, however, further work is needed to clarify whether the second binding site identified in these simulations causes a simple kinetic barrier to prevent the anesthetic from leaving the low affinity binding region or whether occupation of this binding site alters the energy landscape of the TM1 site.
Interactions of Steroid Hormones with Lipid Bilayers and Membrane–Bound Proteins
Steroid hormones regulate many cellular processes, including gene expression and cell signaling [179, 180], by binding to steroid hormone receptors typically located in the cell nucleus [181, 182], but also found in the cytoplasm [180, 183]. Steroid hormones are synthesized from cholesterol [184] which retain the lipophilic core and are often decorated with pendant groups of diverse chemical properties, which facilitates crossing the plasma membrane to bind to their respective steroid receptors inside the cell. Cholesterol is one of the primary components of mammalian cell membranes [185]. The conversion of cholesterol into steroid hormones is mainly mediated by enzymes belonging to two main families, namely hydroxysteroid dehydrogenases (HSD) and the cytochrome P450 (CYP) family [186]. While HSD enzymes are mostly involved in the biotransformation of steroid hormones, CYPs constitute a large family of proteins with diverse functions [187] involved in the metabolism of drugs and a broad spectrum of endogenous compounds, including steroids hormones [188].
Importantly, both clases of enzymes involved in steroid biosynthesis are primarily membrane–bound proteins [189–191], and because of the amphipathic nature of steroid hormones, it is presumed that precursor partitioning into the membrane is a crucial step for steroid synthesis. Additionally, a growing body of evidence suggests that steroid hormones can modulate and inhibit the function of integral membrane proteins, including neuroreceptors and ion channels [192–195]. Hence, it is important to understand the partitioning and localization of steroid hormones in lipid-bilayer environments.
We have employed a combination of different computational approaches to study the interaction steroid hormones with lipid bilayers and membrane–bound proteins. To gain insights of steroid–membrane interactions, we have performed a series of equilibrium simulations to investigate the spontaneous membrane binding of two prototypical steroid molecules, namely estradiol and progesterone. Using this approach allowed the characterization of the insertion depth and orientation of estradiol within the membrane. To characterize the binding pathway of steroids to CYP enzymes, we have performed a series of simulations of progesterone bound to Cytochrome P450 3A4 (CYP3A4). CYP3A4 is the most abundant isoform in the human body [196] and is responsible for the metabolism of more than 50% of drugs [197], including a variety of steroid hormones [188]. This approach not only allowed us to characterize the steroid binding pathway to CYP, but also provided insights into the general drug binding mechanism of CYP3A4 mediated by the membrane.
Steroid Hormone Partitioning Into the Cellular Membrane
Herein, to explore the interactions of steroid molecules with lipid bilayers, we present preliminary simulation results obtained for estradiol in a POPC membrane. Estradiol is a prototypical example of amphipathic steroid hormones (Fig. 6), and it is the most prevalent endogenous estrogen [184]. The general approach employed to study steroid–membrane interactions was to perform simulations where multiple estradiol copies were initially placed at random positions and orientations in the bulk solution, in order to capture the unbiased membrane insertion of the steroid. Primary simulations resulted in significant aggregation of the estradiol copies located in bulk solution, which retarded the penetration of the molecules to the lipid bilayer. To overcome this phenomenon, an additional non–bonded interaction parameter (a short-range force acting only between the oxygen atoms of estradiol) was applied in order to artificially introduce a minimally repulsive force between estradiol molecules, thereby preventing aggregation.
In the extended simulations in the POPC membrane (performed for 200 ns) estradiol molecules were often found in ~90° orientations with respect to the membrane normal (i.e., the z–axis), such that they were parallel to the membrane surface (Fig. 6A–C). The preference for a perpendicular orientation is distinct in comparison to the distribution measured for estradiol in bulk solution (Fig. 6C, red vs. blue). After partitioning into the membrane, estradiol molecules spent most of the time in the glycerol region at the interface of the polar head groups and lipophilic acyl tails (Fig. 6D), similarly to the anesthetic drugs described in previous section. The preferred perpendicular orientation of estradiol in the membrane can be understood in terms of the amphipathic nature of estradiol in which the polar hydroxyl groups, located at opposite ends of the molecule, formed hydrogen bonds with lipid phosphate and carbonyl groups at the lipid-water interface of the membrane, therefore facilitating an almost parallel orientation with respect to the membrane surface. Cholesterol, in contrast, possess only a single hydroxyl group and has been shown to adopt an almost parallel orientation with respect to the membrane normal [198, 199], presumably to facilitate the insertion of its extended hydrophobic acyl chain towards the lipophilic membrane center. These observations therefore suggest that steroid hormones, despite sharing the same scaffold derived from cholesterol, adopt significantly different membrane orientations and interactions which have implications mediating protein–steroid interactions within the membrane.
Membrane-Mediated Drug Recruitment by Cytochrome P450
Cytochrome P450 (CYP) enzymes are large family of heme–containing proteins [187], involved in the metabolism of a wide range of chemical compounds. In the human body, CYPs are involved in the biotransformation of drugs and endogenous compounds [200], such as steroid hormones [186], most of which partition substantially into membranes in the cell. Thus, a key aspect of the function of CYPs is the mechanism by which various molecular species gain access to the active site, a process that is particularly important for membrane-associated CYPs. It has been suggested that the interaction of CYPs with the cell membrane is crucial for the recruitment of lipophilic and amphiphilic substrates, such as steroid hormones and drugs, to the active site of the enzyme [201, 202].
In our studies of CYP3A4, the most abundant CYP isoform in the human body, we have been able to characterize the membrane-bound form by employing a combined simulation/experimental approach [203]. First, to obtain the membrane–bound form of CYP3A4, the spontaneous membrane–association of the globular domain of the enzyme was captured with a membrane mimetic model [71]. Multiple independent simulations were started by placing CYP3A4 away from a PC membrane, each with different initial orientations, achieving the unbiased binding of the protein to the membrane. It is important to note that the initial membrane-binding simulations started with the globular domain of CYP3A4 only, i.e., without including the transmembrane (TM) helix which has not been solved in most crystal structures. This was done since the initial goal of the study was to characterize membrane-interactions of the globular domain alone. The TM helix was added later to CYP3A4 once a membrane-bound model of the globular domain was generated. The resulting membrane–bound model provided details about key protein–lipid interactions, such as the involvement of structural elements (e.g., the F′-G′ loop) in membrane interaction. Moreover, the simulations showed that CYP3A4 takes a specific orientation on the membrane after binding, rather than adhering non-specifically to the lipid bilayer. Furthermore, these interactions were preserved after the membrane mimetic model was converted to a full membrane system by extending the lipid tails, and after adding the missing TM helix, confirming the stability of the model. Importantly, the orientation did not significantly change once the TM helix was added to the simulation system, suggesting that it is the membrane interaction of globular domain, not the TM helix, that determines the orientation of the enzyme on the surface of the membrane. In parallel to the simulations, linear dichroism measurements of nanodisc-bound CYP3A4 were performed to characterize the orientation of the enzyme in the membrane [203]. These measurements further confirmed that CYP3A4 adopts a specific orientation in the membrane, with the heme moiety oriented ~60° with respect to the membrane normal.
One of the observations of our CYP3A4 study is the transient opening of access tunnels that lead to the active site of the enzyme, resulting from protein–membrane interactions. Given their location with respect to the membrane, the observed access tunnels could be involved in the mechanism of drug–binding to CYP3A4. However, the relevance of the access tunnels is not immediately clear given the relative small size (i.e., < 1.5 Å) of their average opening [203], making it difficult for any of the typical substrates of CYP3A4 to bind. We hypothesized that these tunnels could be the initial openings that would require a longer equilibration time to fully open. Thus, to further explore the relevance of these access tunnels in CYP3A4 drug recruitment in the presence of the membrane, we performed a long-timescale (1μs) simulation, starting from our membrane-bound model derived previously [203]. However, although the observed access tunnels in the microsecond simulation are consistent with our shorter simulations, the extended timescale did not reveal any significant opening beyond what was previously achieved.
To take advantage of the conformational sampling of membrane–bound CYP3A4 in the microsecond–long simulation, we adopted an alternative approach to study drug–binding, in which we combined MD simulations with ensemble molecular docking [204, 205] of progesterone, a prototypical steroid substrate of CYP3A4. The proposed approach consisted in performing molecular docking of progesterone on multiple snapshots (e.g., ~ 8500) of the protein obtained from the microsecond simulation, allowing to account for transient conformational changes captured during the simulation that would facilitate accommodating progesterone along a putative access pathway leading to the active site of the enzyme. The analysis of the resulting docked poses revealed a continuous distribution of progesterone docked poses in the membrane-bound CYP3A4, connecting the active site of the enzyme to the membrane, suggesting a putative binding pathway for progesterone (Fig. 7). Interestingly, these results suggest that the access tunnels are not necessarily open in a continuous manner (i.e., connecting the membrane and the active site at once), and instead consist of smaller, contiguous segments, which openings are controlled by transient sidechain fluctuations.
The relevance of the putative progesterone binding pathway identified with molecular docking was further explored with additional MD simulations, starting from a selection of progesterone docked poses, consisting of structures with the best docking score. The simulations started with progesterone located at different positions along its putative binding pathway, in order to increase the sampling of important protein–ligand interactions. Remarkably, we were able to reconstruct an access pathway for progesterone from the protein–ligand conformations generated from multiple independent unbiased simulations, as shown in Fig. 7. Clustering analysis of the resulting simulations revealed significant spatial overlap of progesterone along different simulations in which the molecule preserves its overall orientation and direction through the overlapping regions, indicating that progesterone is able to sample a continuous pathway connecting the membrane to the active site in the ensemble generated by combining independent simulations (Fig. 7). Thus, the combined molecular docking/MD approach revealed the presence of a complete binding pathway that could facilitate the binding of amphipathic molecules partitioning into the membrane into the active site of CYP3A4. Indeed, our simulation of progesterone binding to a POPC membrane revealed that this steroid remains at the phosphate level of the lipid bilayer, where it could be recruited by CYP3A4, as shown in our fully reconstructed binding pathway (Fig. 7). Given the propensity of other molecules discussed in this review (including steroids and anesthetics) to partition into this same region of the lipid bilayer, our findings provide insights into a general mechanism for drug binding to peripheral membrane proteins, including other CYP enzymes, in which the membrane plays a major role in facilitating drug recruitment by serving as an intermediate binding partner for small molecules.
Phospholipid Binding in a Multi-drug Resistant Export Pump
Membrane partitioning studies of anesthetics and steroid hormones discussed in previous sections demonstrated how amphipathic small molecules tend to accumulate at the interfacial region between the head groups and lipid tails of the cellular membrane. Examining their free energy profiles calculated along the membrane normal (Fig. 4) clearly shows that these amphipathic molecules face a high energy barrier at the highly lipophilic membrane core during translocation from one leaflet to another. This aspect is highly relevant to the rate of passive absorption of many drugs through protein-independent pathways (i.e., diffusion through the lipid bilayer). Promiscuous membrane transport proteins with no substrate specificity facilitate the binding and transport of a variety of amphipathic small molecules from one side of the membrane to the other. In this section, we report an interesting aspect of phospholipid binding laterally from the membrane bilayer to a large molecular transport protein with multi-drug resistance, P-glycoprotein (Pgp), observed in MD simulations. Binding characteristics of amphipathic phospholipid molecules can be studied as a surrogate for the binding of any amphipathic substrate, including important drugs, which are believed to be transported through similar mechanisms and pathways.
In both the prokaryotic and eukaryotic kingdoms, many transporters confer multidrug resistance to the cell in which they reside. Some of these transporters, such as ATP-powered ABC transporters [206, 207], undergo a complex and large-scale structural transition while others, such as EmrD [208], perform comparatively simple rocker-switch structural transitions, harnessing the concentration gradients of different ion species to drive the transport. These transporters are mostly known to transport the drugs from the inner leaflet of the lipid bilayer, where the amphipathic drug molecules accumulate [18, 209, 210]. Several ABC transporters, including multidrug-resistant human Pgp and E. coli MsbA, are also lipid flippases [211–213], which move lipids between leaflets in the same manner as drug export occurs. Despite of 40 years of research, the polyspecific transport capability of Pgp and how drug molecules enter the central binding cavity still remain unclear. Existing models claim that the substrate is recruited directly from the inner leaflet based on experimental evidence [210, 211, 214, 215].
Crystal structures of mouse Pgp [206, 207] are important starting points for various structural studies focusing on mechanistic details of its function. Pgp is comprised of two transmembrane (TM) domains (TMDs), each of which contains six TM helices and undergoes a large conformational change when transitioning between the inward(intracellular)-facing (IF) and outward(extracellular)-facing (OF) states during molecular transport. These TMDs fold with respect to each other to form a central drug binding cavity. The regions between these domains are open either to inner or outer leaflets of the lipid bilayer [206]. In addition to the known high membrane partition coefficients of Pgp substrates, MD simulations have shown that many of these drugs accumulate near the head group level of the membrane [216], where the location of several charged residues in Pgp near the membrane interface could provide a “solvation exchange mechanism” to facilitate drug binding from the inner leaflet into the lumen of Pgp [216]. Our equilibrium and nonequilibrium MD simulations of IF and modeled OF states of Pgp have revealed spontaneous binding of lipid molecules from inner and outer leaflets in IF and OF states, respectively.
In the IF state of Pgp, the lipid molecules initially interact with the charged residues of the protein present at the level of lower leaflet and gain entry into the translocation chamber (Fig. 8A left). Independent simulations were performed using two (pre-refined [206] and refined [207]) crystal structures of IF state of Pgp. Simulations starting from the pre-refined structure have shown a few lipid atoms protruding between the transmembrane domains [217]. However, in one of our recent longer (300 ns) simulations of the IF state using the refined crystal structure of Pgp, two full inner leaflet lipid molecules have gained entry into the central chamber through the openings formed between key transmembrane helices (TM4 and TM6; TM10 and TM12). Though our simulations did not include a drug substrate, we expect similar observations because of the similar amphiphilic character of lipids [210]. The observed lipid binding events were either initiated by the head groups entering the cavity followed by lipid tails or vice versa (Fig. 8B). The first molecule entered the cavity interacted with both helices; however, the consequent lipids have only interacted with one of the two helices that form the opening as they moved away from each other after the binding of the first lipid. Extending and repeating these simulations may reveal further information on how these bound lipid molecules would influence the dynamics of IF state of Pgp.
We have recently modeled a stable OF state of Pgp using a combination of structure-based sequence alignment and nonequilibrium MD simulations. A 300 ns-long MD simulation of the stable OF model of Pgp has shown that lipids enter between the openings formed between helices (TM1 and TM3; TM7 and TM9) from the outer leaflet of the lipid bilayer (Fig. 8A right). Though we did not observe a full lipid molecule entering into the extracellular side of the translocation chamber, a total ~160 lipid heavy atoms occupy the extracellular opening (Fig. 8C). In terms of how the lipids enter, the same trend has been observed as for the IF state, either head groups or tails initiate the entry. Presence of these lipid molecules at the extracellular opening certainly influence the dynamics and stability of the OF state and may facilitate substrate exit into the upper leaflet supporting the flippase model over the hydrophobic vacuum cleaner model. The discussed results, though preliminary, provide general mechanistic insights on how amphipathic molecules may bind to biomedically important multi-drug transporter, Pgp.
Conclusions and Future Perspectives
Membranes are one of the central compartments of the living cell, providing a critical barrier that defines the inside versus outside of cells [218]. In addition to controlling the traffic of small molecules across this border, membranes are also host to many diverse processes including signaling, energy transduction, and recognition. In order to understand the mechanism of action and cellular effects of both endogenous and xenobiotic small molecules, it is critical to understand how they interact with and distribute within or across the membrane. Although some experimental techniques can be successfully employed to study these processes, the fluid and dynamic nature of the membrane, both at the microscopic and macroscopic levels, introduces a number of technical difficulties. The spatiotemporal resolution of molecular dynamics simulations [52, 53], in contrast, are well-suited to investigations of highly dynamic properties like those that occur near or in the membrane with atomistic resolution.
We have described four examples from our own research which encompass different aspects of membrane processes at both qualitative and quantitative levels. It is clear from these studies that the chemical properties of the small molecule are the primary determinants for partitioning based on how they interact with lipid molecules. Small non-polar species, such as O2 and NO gas molecules, spontaneously partition to the center of the membrane where the lipid tails create a favorable and strongly hydrophobic environment. While gas molecules are able to penetrate the membrane structure by non-specific diffusion, we have found that the rapid activity of oxidase proteins, e.g., cytochrome C oxidase detailed here, requires that gas molecules access the reaction center buried deeply within the protein structure using explicit tunnels. The partitioning profiles of larger, amphipathic molecules, such as anesthetics, hormones, and lipids themselves, in contrast to the hydrophobic gases, indicate that these molecules prefer to reside near the glycerol region of the membrane. Accumulating to establish high concentrations of such molecules within the localized region of the membrane might facilitate binding to their target sites, both for proteins that are embedded and those that are otherwise associated with the membrane. X-ray crystal structures of GLIC (a channel protein) have revealed binding sites for anesthetics in the transmembrane region, which we show to be positioned near the glycerol-tail interfacial region when embedded into a POPC lipid bilayer. Our simulation studies, however, further revealed a second putative binding site just proximal to the first site and that the anesthetic binding to the second site is required to stabilize binding to the first site, a unique feature not previously hypothesized. These observations finally explain why anesthetic potency was correlated with hydrophobicity, yet was in some cases sensitive to stereochemical configurations, and why anesthetics are necessary at high concentrations to exert their action. Even in cases where the ligand binding site exists at a level outside of the membrane, such as in cytochrome P450, small molecules like hormones and xenobiotics reach the reaction center via access tunnels leading into the protein interior from the glycerol region of the membrane where amphipathic molecules tend to accumulate [203]. Amphipathic molecules also differ from the hydrophobic gases, as characterized by free energy techniques, in that they must overcome an energetic barrier to move between the two leaflets of the membrane. This situation suggests that while these molecules can spontaneously partition into one leaflet of the membrane, they are shuttled across the hydrophobic core by membrane proteins to facilitate traversal through the entirety of the membrane. Such shuttling proteins, e.g., the case of Pgp described here, are involved in moving chemicals into and out of the cell, and can serve to export xenobiotics from the cell. In addition to conventional small molecules, Pgp also binds and acts on lipid molecules, moving them across the membrane interface giving rise to its flipase activity, which is necessary to modify the membrane lipid composition during signaling processes. While full details of this process remain to be determined, our initial simulation results begin to elucidate the interactions between individual lipids and Pgp, presumably priming the lipid for a flipping event.
Characterizing the broader properties of small molecules and membranes, such as structure of different regions of the membrane or the accumulation of molecules within the membrane, are driven by the chemical composition of each component. Accurately capturing and characterizing the processes that small molecules undergo within the context of the membrane requires a robust set of force field parameters that are able to accurately describe internal dynamics and intermolecular interactions within a diverse set of environments (e.g., bulk solvent, membrane regions varying from polar to hydrophobic, protein surface, protein core). While quality parameter sets for water, proteins, and lipids have been extensively refined over time, the parametrization of small molecules has only recently been supported in a broader way with the development of force field extensions specifically catering to small molecules, particularly for drug-like compounds. The great expanse of small molecule space, however, precludes the ability of a single parameter set from providing universal coverage. Several toolsets, such as the Force Field Toolkit [64], developed in our lab and employed in our anesthetic studies presented here, and the CGenFF Program [62] used for the hormones, have been developed to facilitate and automate the process of computing and refining parameters for a given molecule, enabling a whole new area of simulation-based studies like those described in this review. As we illustrated for the heavily halogenated anesthetics, molecules bearing complex functional groups often require deviations from standard parametrization protocols; the details surrounding when and how to achieve this currently must be assessed on a case-by-case basis, and better tools are required to make this process more straightforward for non-experts. Further, these parameters apply to the CHARMM force field, which contains a number of limitations, the most prominent of these being a fixed point charge model that cannot account for atomic polarizability. Work is currently progressing on this front using alternative force field models, such as the Drude Force Field [219, 220] and AMOEBA [221], however, their use has yet to become widespread and the need for parametrization tools have not been addressed to the same level as for the non-polarizable CHARMM force field.
All of the studies covered herein utilized membranes consisting of POPC lipids, which are prominent in mammalian membranes [222]. Membranes, however, are rarely homogeneous and the composition of the membrane with respect to lipid species can have significant impact on membrane properties. Many membrane processes are actually dependent on changes in membrane composition, such as cell signaling. Therefore, the actual environments in which drugs and other small molecules exert their activity are much more complex. How specific mixtures of components that can be present in high concentrations in mammalian cells, such as charged lipids (e.g., POPS), sphingomyelin, or cholesterol, affect membrane dynamics and small molecule interactions remains an active area of research. Simulations employing realistic membrane compositions have begun to address these questions [223, 224]. One remaining challenge, however, is insufficient sampling due to the slow mixing of lipids within the membrane relative to the timescale accessible to molecular dynamics. Embedding proteins into such complex membranes further exacerbates the sampling problem due to increased viscosity, yielding protein structures that exhibit dynamics very different from their solution form. These scenarios may be alleviated by alternative methods that enhance sampling, e.g., reduced representations of the membrane as done in the HMMM model [70, 71], coarse-grained membrane models [67], or implicit membrane models for protein complex formation [225–227], and will likely be required in future studies.
In the future, we can only expect more examples in which the importance and specific role of biological membranes in determining the fate of small molecules will be demonstrated. Molecular simulations will continue to play a central role in these studies, since they offer the most detailed microscopic view of such processes. Along with more realistic representations of the cellular membrane, accurate force field parameters for a larger number of small molecules, and our increased ability to access the configuration space by longer simulations and better sampling, we should look forward to discovering more surprises and specific molecular phenomena for drugs and other small molecules such as endogenous hormones and neurotransmitters that may substantiate some of their characteristic chemical behavior within a biological context.
Supplementary Material
Acknowledgments
This work was supported in part by the National Institutes of Health (Grants R01-GM101048, R01-GM086749, U54-GM087519, and P41-GM104601 to E.T.) and XSEDE compute resources (grant TG-MCA06N060 to E.T.). M.J.A. acknowledges past support from the NSF GRF Program. J.V.V. acknowledges support from the Sandia National Laboratories Campus Executive Program, which is funded by the Laboratory Directed Research and Development (LDRD) Program. Sandia is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the US Department of Energy’s National Nuclear Security Administration under Contract No. DE-AC04-94AL85000.
Footnotes
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Contributor Information
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