McCammon J. AndrewDepartment of Pharmacology, M/C 0365, UCSD, 9500 Gilman Drive, La Jolla, CA 92093-0636 USAPhone : 619-534-2905 Fax : 619-534-7042 Send E-Mail to McCammon J. Andrew
Title: Mapping of allosteric druggable sites in activation-associated conformers of the m2 muscarinic receptor Miao Y, Nichols SE, McCammon JA Ref: Chemical Biology Drug Des, 83:237, 2014 : PubMed
G-protein-coupled receptors (GPCRs) are key cellular signaling proteins and have been targeted by approximately 30-40% of marketed drugs for treating many human diseases including cancer and heart failure. Recently, we directly observed activation of the M2 muscarinic receptor through long-timescale accelerated molecular dynamics (aMD) simulation, which revealed distinct inactive, intermediate and active conformers of the receptor. Here, FTMAP is applied to search for 'hot spots' in these activation-associated conformers using a library of 16 organic probe molecules that represent fragments of potential drugs. Seven allosteric (non-orthosteric) binding sites are identified in the M2 receptor through the FTMAP analysis. These sites are distributed in the solvent-exposed extracellular and intracellular mouth regions, as well as the lipid-exposed pockets formed by the transmembrane alpha helices TM3-TM4, TM5-TM6 and TM7-TM1/TM2. They serve as promising target sites for designing novel allosteric modulators as receptor-selective drugs.
The biased agonism of the G protein-coupled receptors (GPCRs), where in addition to a traditional G protein-signaling pathway a GPCR promotes intracellular signals though beta-arrestin, is a novel paradigm in pharmacology. Biochemical and biophysical studies have suggested that a GPCR forms a distinct ensemble of conformations signaling through the G protein and beta-arrestin. Here we report on the dynamics of the beta2 adrenergic receptor bound to the beta-arrestin and G protein-biased agonists and the empty receptor to further characterize the receptor conformational changes caused by biased agonists. We use conventional and accelerated molecular dynamics (aMD) simulations to explore the conformational transitions of the GPCR from the active state to the inactive state. We found that aMD simulations enable monitoring of the transition within the nanosecond time scale while capturing the known microscopic characteristics of the inactive states, such as the ionic lock, the inward position of F6.44, and water clusters. Distinct conformational states are shown to be stabilized by each biased agonist. In particular, in simulations of the receptor with the beta-arrestin-biased agonist N-cyclopentylbutanepherine, we observe a different pattern of motions in helix 7 when compared to simulations with the G protein-biased agonist salbutamol that involves perturbations of the network of interactions within the NPxxY motif. Understanding the network of interactions induced by biased ligands and the subsequent receptor conformational shifts will lead to development of more efficient drugs.
This article provides a brief review of multi-scale modeling at the molecular to cellular scale, with new results for heart muscle cells. A finite element-based simulation package (SMOL) was used to investigate the signaling transduction at molecular and sub-cellular scales (http:\/\/mccammon.ucsd.edu/smol/, http:\/\/FETK.org) by numerical solution of time-dependent Smoluchowski equations and a reaction-diffusion system. At the molecular scale, SMOL has yielded experimentally-validated estimates of the diffusion-limited association rates for the binding of acetylcholine to mouse acetylcholinesterase using crystallographic structural data. The predicted rate constants exhibit increasingly delayed steady-state times with increasing ionic strength and demonstrate the role of an enzyme's electrostatic potential in influencing ligand binding. At the sub-cellular scale, an extension of SMOL solves a non-linear, reaction-diffusion system describing Ca2+ ligand buffering and diffusion in experimentally-derived rodent ventricular myocyte geometries. Results reveal the important role for mobile and stationary Ca2+ buffers, including Ca2+ indicator dye. We found that the alterations in Ca2+-binding and dissociation rates of troponin C (TnC) and total TnC concentration modulate subcellular Ca2+ signals. Model predicts that reduced off-rate in whole troponin complex (TnC, TnI, TnT) versus reconstructed thin filaments (Tn, Tm, actin) alters cytosolic Ca2+ dynamics under control conditions or in disease-linked TnC mutations. The ultimate goal of these studies is to develop scalable methods and theories for integration of molecular-scale information into simulations of cellular-scale systems.
Title: Kinetics of diffusion-controlled enzymatic reactions with charged substrates Lu B, McCammon JA Ref: PMC Biophys, 3:1, 2010 : PubMed
The Debye-Huckel limiting law (DHL) has often been used to estimate rate constants of diffusion-controlled reactions under different ionic strengths. Two main approximations are adopted in DHL: one is that the solution of the linearized Poisson-Boltzmann equation for a spherical cavity is used to estimate the excess electrostatic free energy of a solution; the other is that details of electrostatic interactions of the solutes are neglected. This makes DHL applicable only at low ionic strengths and dilute solutions (very low substrate/solute concentrations). We show in this work that through numerical solution of the Poisson-Nernst-Planck equations, diffusion-reaction processes can be studied at a variety of conditions including realistically concentrated solutions, high ionic strength, and certainly with non-equilibrium charge distributions. Reaction rate coefficients for the acetylcholine-acetylcholinesterase system are predicted to strongly depend on both ionic strength and substrate concentration. In particular, they increase considerably with increase of substrate concentrations at a fixed ionic strength, which is open to experimental testing. This phenomenon is also verified on a simple model, and is expected to be general for electrostatically attracting enzyme-substrate systems.PACS Codes: 82.45.Tv, 87.15.VvMSC Codes: 92C30.
Title: A virtual screening study of the acetylcholine binding protein using a relaxed-complex approach Babakhani A, Talley TT, Taylor P, McCammon JA Ref: Comput Biol Chem, 33:160, 2009 : PubMed
The nicotinic acetylcholine receptor (nAChR) is a member of the ligand-gated ion channel family and is implicated in many neurological events. Yet, the receptor is difficult to target without high-resolution structures. In contrast, the structure of the acetylcholine binding protein (AChBP) has been solved to high resolution, and it serves as a surrogate structure of the extra-cellular domain in nAChR. Here we conduct a virtual screening study of the AChBP using the relaxed-complex method, which involves a combination of molecular dynamics simulations (to achieve receptor structures) and ligand docking. The library screened through comes from the National Cancer Institute, and its ligands show great potential for binding AChBP in various manners. These ligands mimic the known binders of AChBP; a significant subset docks well against all species of the protein and some distinguish between the various structures. These novel ligands could serve as potential pharmaceuticals in the AChBP/nAChR systems.
Title: Molecular-dynamics simulations of ELIC-a prokaryotic homologue of the nicotinic acetylcholine receptor Cheng X, Ivanov I, Wang H, Sine SM, McCammon JA Ref: Biophysical Journal, 96:4502, 2009 : PubMed
The ligand-gated ion channel from Erwinia chrysanthemi (ELIC) is a prokaryotic homolog of the eukaryotic nicotinic acetylcholine receptor (nAChR) that responds to the binding of neurotransmitter acetylcholine and mediates fast signal transmission. ELIC is similar to the nAChR in its primary sequence and overall subunit organization, but despite their structural similarity, it is not clear whether these two ligand-gated ion channels operate in a similar manner. Further, it is not known to what extent mechanistic insights gleaned from the ELIC structure translate to eukaryotic counterparts such as the nAChR. Here we use molecular-dynamics simulations to probe the conformational dynamics and hydration of the transmembrane pore of ELIC. The results are compared with those from our previous simulation of the human alpha7 nAChR. Overall, ELIC displays increased stability compared to the nAChR, whereas the two proteins exhibit remarkable similarity in their global motion and flexibility patterns. The majority of the increased stability of ELIC does not stem from the deficiency of the models used in the simulations, and but rather seems to have a structural basis. Slightly altered dynamical correlation features are also observed among several loops within the membrane region. In sharp contrast to the nAChR, ELIC is completely dehydrated from the pore center to the extracellular end throughout the simulation. Finally, the simulation of an ELIC mutant substantiates the important role of F246 on the stability, hydration and possibly function of the ELIC channel.
We investigated the initial coupling of agonist binding to channel gating of the nicotinic acetylcholine receptor using targeted molecular-dynamics (TMD) simulation. After TMD simulation to accelerate closure of the C-loops at the agonist binding sites, the region of the pore that passes through the cell membrane expands. To determine whether the structural changes in the pore result in ion conduction, we used a coarse-grained ion conduction simulator, Biology Boltzmann transport Monte Carlo, and applied it to two structural frames taken before and after TMD simulation. The structural model before TMD simulation represents the channel in the proposed "resting" state, whereas the model after TMD simulation represents the channel in the proposed "active" state. Under external voltage biases, the channel in the "active" state was permeable to cations. Our simulated ion conductance approaches that obtained experimentally and recapitulates several functional properties characteristic of the nicotinic acetylcholine receptor. Thus, closure of the C-loop triggers a structural change in the channel sufficient to account for the open channel current. This approach of applying Biology Boltzmann transport Monte Carlo simulation can be used to further investigate the binding to gating transduction mechanism and the structural bases for ion selection and translocation.
Title: Acetylcholinesterase: mechanisms of covalent inhibition of H447I mutant determined by computational analyses Cheng YH, Cheng XL, Radic Z, McCammon JA Ref: Chemico-Biological Interactions, 175:196, 2008 : PubMed
The reaction mechanisms of two inhibitor TFK(+) and TFK(0) binding to H447I mutant mouse acetylcholinesterase (mAChE) have been investigated by using a combined ab initio quantum mechanical/molecular mechanical (QM/MM) approach and classical molecular dynamics (MD) simulations. TFK(+) binding to the H447I mutant may proceed with a different reaction mechanism from the wild-type. A water molecule takes over the role of His447 and participates in the bond breaking and forming as a "charge relayer". Unlike in the wild-type mAChE case, Glu334, a conserved residue from the catalytic triad, acts as a catalytic base in the reaction. The calculated energy barrier for this reaction is about 8kcal/mol. These predictions await experimental verification. In the case of the neutral ligand TFK(0), however, multiple MD simulations on the TFK(0)/H447I complex reveal that none of the water molecules can be retained in the active site as a "catalytic" water. Taken together our computational studies confirm that TFK(0) is almost inactive in the H447I mutant, and also provide detailed mechanistic insights into the experimental observations.
Acetylcholinesterase rapidly hydrolyzes the neurotransmitter acetylcholine in cholinergic synapses, including the neuromuscular junction. The tetramer is the most important functional form of the enzyme. Two low-resolution crystal structures have been solved. One is compact with two of its four peripheral anionic sites (PAS) sterically blocked by complementary subunits. The other is a loose tetramer with all four subunits accessible to solvent. These structures lacked the C-terminal amphipathic t-peptide (WAT domain) that interacts with the proline-rich attachment domain (PRAD). A complete tetramer model (AChEt) was built based on the structure of the PRAD/WAT complex and the compact tetramer. Normal mode analysis suggested that AChEt could exist in several conformations with subunits fluctuating relative to one another. Here, a multiscale simulation involving all-atom molecular dynamics and C alpha-based coarse-grained Brownian dynamics simulations was carried out to investigate the large-scale intersubunit dynamics in AChEt. We sampled the ns-mus timescale motions and found that the tetramer indeed constitutes a dynamic assembly of monomers. The intersubunit fluctuation is correlated with the occlusion of the PAS. Such motions of the subunits "gate" ligand-protein association. The gates are open more than 80% of the time on average, which suggests a small reduction in ligand-protein binding. Despite the limitations in the starting model and approximations inherent in coarse graining, these results are consistent with experiments which suggest that binding of a substrate to the PAS is only somewhat hindered by the association of the subunits.
We used molecular dynamics (MD) simulations to explore the transport of single cations through the channel of the muscle nicotinic acetylcholine receptor (nAChR). Four MD simulations of 16 ns were performed at physiological and hyperpolarized membrane potentials, with and without restraints of the structure, but all without bound agonist. With the structure unrestrained and a potential of -100 mV, one cation traversed the channel during a transient period of channel hydration; at -200 mV, the channel was continuously hydrated and two cations traversed the channel. With the structure restrained, however, cations did not traverse the channel at either membrane potential, even though the channel was continuously hydrated. The overall results show that cation selective transport through the nAChR channel is governed by electrostatic interactions to achieve charge selectivity, but ion translocation relies on channel hydration, facilitated by a trans-membrane field, coupled with dynamic fluctuations of the channel structure.
Title: Continuum simulations of acetylcholine consumption by acetylcholinesterase: a Poisson-Nernst-Planck approach Zhou YC, Lu B, Huber GA, Holst MJ, McCammon JA Ref: J Phys Chem B, 112:270, 2008 : PubMed
The Poisson-Nernst-Planck (PNP) equation provides a continuum description of electrostatic-driven diffusion and is used here to model the diffusion and reaction of acetylcholine (ACh) with acetylcholinesterase (AChE) enzymes. This study focuses on the effects of ion and substrate concentrations on the reaction rate and rate coefficient. To this end, the PNP equations are numerically solved with a hybrid finite element and boundary element method at a wide range of ion and substrate concentrations, and the results are compared with the partially coupled Smoluchowski-Poisson-Boltzmann model. The reaction rate is found to depend strongly on the concentrations of both the substrate and ions; this is explained by the competition between the intersubstrate repulsion and the ionic screening effects. The reaction rate coefficient is independent of the substrate concentration only at very high ion concentrations, whereas at low ion concentrations the behavior of the rate depends strongly on the substrate concentration. Moreover, at physiological ion concentrations, variations in substrate concentration significantly affect the transient behavior of the reaction. Our results offer a reliable estimate of reaction rates at various conditions and imply that the concentrations of charged substrates must be coupled with the electrostatic computation to provide a more realistic description of neurotransmission and other electrodiffusion and reaction processes.
Title: Nanosecond-timescale conformational dynamics of the human alpha7 nicotinic acetylcholine receptor Cheng X, Ivanov I, Wang H, Sine SM, McCammon JA Ref: Biophysical Journal, 93:2622, 2007 : PubMed
We explore the conformational dynamics of a homology model of the human alpha7 nicotinic acetylcholine receptor using molecular dynamics simulation and analyses of root mean-square fluctuations, block partitioning of segmental motion, and principal component analysis. The results reveal flexible regions and concerted global motions of the subunits encompassing extracellular and transmembrane domains of the subunits. The most relevant motions comprise a bending, hinged at the beta10-M1 region, accompanied by concerted tilting of the M2 helices that widens the intracellular end of the channel. Despite the nanosecond timescale, the observations suggest that tilting of the M2 helices may initiate opening of the pore. The results also reveal direct coupling between a twisting motion of the extracellular domain and dynamic changes of M2. Covariance analysis of interresidue motions shows that this coupling arises through a network of residues within the Cys and M2-M3 loops where Phe135 is stabilized within a hydrophobic pocket formed by Leu270 and Ile271. The resulting concerted motion causes a downward shift of the M2 helices that disrupts a hydrophobic girdle formed by 9' and 13' residues.
Title: Acetylcholinesterase: mechanisms of covalent inhibition of wild-type and H447I mutant determined by computational analyses Cheng Y, Cheng X, Radic Z, McCammon JA Ref: Journal of the American Chemical Society, 129:6562, 2007 : PubMed
The reaction mechanisms of two inhibitors TFK+ and TFK0 binding to both the wild-type and H447I mutant mouse acetylcholinesterase (mAChE) have been investigated by using a combined ab initio quantum mechanical/molecular mechanical (QM/MM) approach and classical molecular dynamics (MD) simulations. In the wild-type mAChE, the binding reactions of TFK+ and TFK0 are both spontaneous processes, which proceed through the nucleophilic addition of the Ser203-Ogamma to the carbonyl-C of TFK+ or TFK0, accompanied with a simultaneous proton transfer from Ser203 to His447. No barrier is found along the reaction paths, consistent with the experimental reaction rates approaching the diffusion-controlled limit. By contrast, TFK+ binding to the H447I mutant may proceed with a different reaction mechanism. A water molecule takes over the role of His447 and participates in the bond breaking and forming as a "charge relayer". Unlike in the wild-type mAChE case, Glu334, a conserved residue from the catalytic triad, acts as a catalytic base in the reaction. The calculated energy barrier for this reaction is about 8 kcal/mol. These predictions await experimental verification. In the case of the neutral ligand TFK0, however, multiple MD simulations on the TFK0/H447I complex reveal that none of the water molecules can be retained in the active site as a "catalytic" water. Furthermore, our alchemical free energy calculation also suggests that the binding of TFK0 to H447I is much weaker than that of TFK+. Taken together, our computational studies confirm that TFK0 is almost inactive in the H447I mutant and also provide detailed mechanistic insights into the experimental observations.
This article describes the numerical solution of the time-dependent Smoluchowski equation to study diffusion in biomolecular systems. Specifically, finite element methods have been developed to calculate ligand binding rate constants for large biomolecules. The resulting software has been validated and applied to the mouse acetylcholinesterase (mAChE) monomer and several tetramers. Rates for inhibitor binding to mAChE were calculated at various ionic strengths with several different time steps. Calculated rates show very good agreement with experimental and theoretical steady-state studies. Furthermore, these finite element methods require significantly fewer computational resources than existing particle-based Brownian dynamics methods and are robust for complicated geometries. The key finding of biological importance is that the rate accelerations of the monomeric and tetrameric mAChE that result from electrostatic steering are preserved under the non-steady-state conditions that are expected to occur in physiological circumstances.
Title: Barriers to ion translocation in cationic and anionic receptors from the Cys-loop family Ivanov I, Cheng X, Sine SM, McCammon JA Ref: J Am Chem Soc, 129:8217, 2007 : PubMed
Understanding the mechanisms of gating and ion permeation in biological channels and receptors has been a long-standing challenge in biophysics. Recent advances in structural biology have revealed the architecture of a number of transmembrane channels and allowed detailed, molecular-level insight into these systems. Herein, we have examined the barriers to ion conductance and origins of ion selectivity in models of the cationic human alpha7 nicotinic acetylcholine receptor (nAChR) and the anionic alpha1 glycine receptor (GlyR), based on the structure of Torpedo nAChR. Molecular dynamics simulations were used to determine water density profiles along the channel length, and they established that both receptor pores were fully hydrated. The very low water density in the middle of the nAChR pore indicated the existence of a hydrophobic constriction. By contrast, the pore of GlyR was lined with hydrophilic residues and remained well-hydrated throughout. Adaptive biasing force simulations allowed us to reconstruct potentials of mean force (PMFs) for chloride and sodium ions in the two receptors. For the nicotinic receptor we observed barriers to ion translocation associated with rings of hydrophobic residues-Val13' and Leu9'-in the middle of the transmembrane domain. This finding further substantiates the hydrophobic gating hypothesis for nAChR. The PMF revealed no significant hydrophobic barrier for chloride translocation in GlyR. For both receptors nonpermeant ions displayed considerable barriers. Thus, the overall electrostatics and the presence of rings of charged residues at the entrance and exit of the channels were sufficient to explain the experimentally observed anion and cation selectivity.
Title: Electrodiffusion: a continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution Lu B, Zhou YC, Huber GA, Bond SD, Holst MJ, McCammon JA Ref: J Chem Phys, 127:135102, 2007 : PubMed
A computational framework is presented for the continuum modeling of cellular biomolecular diffusion influenced by electrostatic driving forces. This framework is developed from a combination of state-of-the-art numerical methods, geometric meshing, and computer visualization tools. In particular, a hybrid of (adaptive) finite element and boundary element methods is adopted to solve the Smoluchowski equation (SE), the Poisson equation (PE), and the Poisson-Nernst-Planck equation (PNPE) in order to describe electrodiffusion processes. The finite element method is used because of its flexibility in modeling irregular geometries and complex boundary conditions. The boundary element method is used due to the convenience of treating the singularities in the source charge distribution and its accurate solution to electrostatic problems on molecular boundaries. Nonsteady-state diffusion can be studied using this framework, with the electric field computed using the densities of charged small molecules and mobile ions in the solvent. A solution for mesh generation for biomolecular systems is supplied, which is an essential component for the finite element and boundary element computations. The uncoupled Smoluchowski equation and Poisson-Boltzmann equation are considered as special cases of the PNPE in the numerical algorithm, and therefore can be solved in this framework as well. Two types of computations are reported in the results: stationary PNPE and time-dependent SE or Nernst-Planck equations solutions. A biological application of the first type is the ionic density distribution around a fragment of DNA determined by the equilibrium PNPE. The stationary PNPE with nonzero flux is also studied for a simple model system, and leads to an observation that the interference on electrostatic field of the substrate charges strongly affects the reaction rate coefficient. The second is a time-dependent diffusion process: the consumption of the neurotransmitter acetylcholine by acetylcholinesterase, determined by the SE and a single uncoupled solution of the Poisson-Boltzmann equation. The electrostatic effects, counterion compensation, spatiotemporal distribution, and diffusion-controlled reaction kinetics are analyzed and different methods are compared.
Title: Conformational transitions in protein-protein association: binding of fasciculin-2 to acetylcholinesterase Bui JM, Radic Z, Taylor P, McCammon JA Ref: Biophysical Journal, 90:3280, 2006 : PubMed
The neurotoxin fasciculin-2 (FAS2) is a picomolar inhibitor of synaptic acetylcholinesterase (AChE). The dynamics of binding between FAS2 and AChE is influenced by conformational fluctuations both before and after protein encounter. Submicrosecond molecular dynamics trajectories of apo forms of fasciculin, corresponding to different conformational substates, are reported here with reference to the conformational changes of loop I of this three-fingered toxin. This highly flexible loop exhibits an ensemble of conformations within each substate corresponding to its functions. The high energy barrier found between the two major substates leads to transitions that are slow on the timescale of the diffusional encounter of noninteracting FAS2 and AChE. The more stable of the two apo substates may not be the one observed in the complex with AChE. It seems likely that the more stable apo form binds rapidly to AChE and conformational readjustments then occur in the resulting encounter complex.
Title: Protein complex formation by acetylcholinesterase and the neurotoxin fasciculin-2 appears to involve an induced-fit mechanism Bui JM, McCammon JA Ref: Proc Natl Acad Sci U S A, 103:15451, 2006 : PubMed
Specific, rapid association of protein complexes is essential for all forms of cellular existence. The initial association of two molecules in diffusion-controlled reactions is often influenced by the electrostatic potential. Yet, the detailed binding mechanisms of proteins highly depend on the particular system. A complete protein complex formation pathway has been delineated by using structural information sampled over the course of the transformation reaction. The pathway begins at an encounter complex that is formed by one of the apo forms of neurotoxin fasciculin-2 (FAS2) and its high-affinity binding protein, acetylcholinesterase (AChE), followed by rapid conformational rearrangements into an intermediate complex that subsequently converts to the final complex as observed in crystal structures. Formation of the intermediate complex has also been independently captured in a separate 20-ns molecular dynamics simulation of the encounter complex. Conformational transitions between the apo and liganded states of FAS2 in the presence and absence of AChE are described in terms of their relative free energy profiles that link these two states. The transitions of FAS2 after binding to AChE are significantly faster than in the absence of AChE; the energy barrier between the two conformational states is reduced by half. Conformational rearrangements of FAS2 to the final liganded form not only bring the FAS2/AChE complex to lower energy states, but by controlling transient motions that lead to opening or closing one of the alternative passages to the active site of the enzyme also maximize the ligand's inhibition of the enzyme.
Title: Targeted molecular dynamics study of C-loop closure and channel gating in nicotinic receptors Cheng X, Wang H, Grant B, Sine SM, McCammon JA Ref: PLoS Comput Biol, 2:e134, 2006 : PubMed
The initial coupling between ligand binding and channel gating in the human alpha7 nicotinic acetylcholine receptor (nAChR) has been investigated with targeted molecular dynamics (TMD) simulation. During the simulation, eight residues at the tip of the C-loop in two alternating subunits were forced to move toward a ligand-bound conformation as captured in the crystallographic structure of acetylcholine binding protein (AChBP) in complex with carbamoylcholine. Comparison of apo- and ligand-bound AChBP structures shows only minor rearrangements distal from the ligand-binding site. In contrast, comparison of apo and TMD simulation structures of the nAChR reveals significant changes toward the bottom of the ligand-binding domain. These structural rearrangements are subsequently translated to the pore domain, leading to a partly open channel within 4 ns of TMD simulation. Furthermore, we confirmed that two highly conserved residue pairs, one located near the ligand-binding pocket (Lys145 and Tyr188), and the other located toward the bottom of the ligand-binding domain (Arg206 and Glu45), are likely to play important roles in coupling agonist binding to channel gating. Overall, our simulations suggest that gating movements of the alpha7 receptor may involve relatively small structural changes within the ligand-binding domain, implying that the gating transition is energy-efficient and can be easily modulated by agonist binding/unbinding.
Title: Order N algorithm for computation of electrostatic interactions in biomolecular systems Lu B, Cheng X, Huang J, McCammon JA Ref: Proc Natl Acad Sci U S A, 103:19314, 2006 : PubMed
Poisson-Boltzmann electrostatics is a well established model in biophysics; however, its application to large-scale biomolecular processes such as protein-protein encounter is still limited by the efficiency and memory constraints of existing numerical techniques. In this article, we present an efficient and accurate scheme that incorporates recently developed numerical techniques to enhance our computational ability. In particular, a boundary integral equation approach is applied to discretize the linearized Poisson-Boltzmann equation; the resulting integral formulas are well conditioned and are extended to systems with arbitrary numbers of biomolecules. The solution process is accelerated by Krylov subspace methods and a new version of the fast multipole method. In addition to the electrostatic energy, fast calculations of the forces and torques are made possible by using an interpolation procedure. Numerical experiments show that the implemented algorithm is asymptotically optimal O(N) in both CPU time and required memory, and application to the acetylcholinesterase-fasciculin complex is illustrated.
Title: In-situ synthesis of a tacrine-triazole-based inhibitor of acetylcholinesterase: configurational selection imposed by steric interactions Senapati S, Cheng Y, McCammon JA Ref: Journal of Medicinal Chemistry, 49:6222, 2006 : PubMed
Recently, researchers have used acetylcholinesterase (AChE) as a reaction vessel to synthesize its own inhibitors. Thus, 1 (syn-TZ2PA6), a femtomolar AChE inhibitor, which is formed in a 1:1 mixture with its anti-isomer by solution phase reaction from 3 (TZ2) and 4 (PA6), can be synthesized exclusively inside the AChE gorge. Our computational approach based on quantum mechanical/molecular mechanical (QM/MM) calculations, molecular dynamics (MD), and targeted molecular dynamics (TMD) studies answers why 1 is the sole product in the AChE environment. Ab initio QM/MM results show that the reaction in the AChE gorge occurs when 3/azide and 4/acetylene are extended in a parallel orientation. An MD simulation started from the final structure of QM/MM calculations keeps the azide's and acetylene's parallel orientations intact for 10 ns of simulation time. A TMD simulation applied on an antiparallel azide-acetylene conformation flips the acetylene easily to bring it to a position that is parallel to azide. A second set of QM/MM calculations performed on this flipped structure generates a similar minimum-energy path as obtained previously. Even a TMD simulation carried out on a parallel azide-acetylene conformation could not deform their parallel arrangement. All of these results, thus, imply that inside the AChE gorge, the azide group of 3 and the acetylene group of 4 always remain parallel, with the consequence that 1 is the only product. The architecture of the gorge plays an important role in this selective formation of 1.
Title: Acetylcholinesterase: pivotal roles of its long omega loop (Cys69-Cys96) in regulating substrate binding Bui JM, McCammon JA Ref: Chemico-Biological Interactions, 157-158:357, 2005 : PubMed
Acetycholinesterase (AChE) hydrolyses neuronal and non-neuronal acetylcholine (ACh) very efficiently, and this possibly prevents the mitogenic action of ACh. AChE activity was measured in twenty-three samples of non-small lung carcinomas (NSLCs) and in their adjacent normal tissue. Twelve out of them were adenocarcinoma (AC), 6 squamous cell carcinoma (SCC) and 5 large cell carcinoma (LCC). The mean AChE activity in healthy lung was 10.95 +/- 6.90 mU/mg; in AC, 8.13 +/- 5.84 (p = 0.774); in LCC, 9.57 +/- 7.47 mU/mg (p = 0.063); and in SCC, 2.25 +/- 0.67 (p = 0.028). AChE dimers and monomers were identified in healthy and tumoral tissues and their contribution was not affected by cancer. The fraction of AChE molecules reacting with the lectin Con A increased in squamous cell carcinoma when compared to control, adenocarcinoma and large cell carcinoma specimens. The increased level of ACh in lung cancers, resulting from the fall of AChE activity, may collaborate to lung cancer growth.
We delineated acetylcholine (ACh)-dependent conformational changes in a prototype of the nicotinic receptor ligand binding domain by molecular dynamics simulation and changes in intrinsic tryptophan (Trp) fluorescence. Prolonged molecular dynamics simulation of ACh-binding protein showed that binding of ACh establishes close register of Trps from adjacent subunits, Trp(143) and Trp(53), and draws the peripheral C-loop inward to occlude the entrance to the binding cavity. Close register of Trp(143) and Trp(53) was demonstrated by ACh-mediated quenching of intrinsic Trp fluorescence, elimination of quenching by mutation of one or both Trps to Phe, and decreased lifetime of Trp fluorescence by bound ACh. Occlusion of the binding cavity by the C-loop was demonstrated by restricted access of an extrinsic quencher of binding site Trp fluorescence by ACh. The collective findings showed that ACh initially establishes close register of conserved Trps from adjacent subunits and then draws the C-loop inward to occlude the entrance to the binding cavity.
Title: Ligand-induced conformational change in the alpha7 nicotinic receptor ligand binding domain Henchman RH, Wang HL, Sine SM, Taylor P, McCammon JA Ref: Biophysical Journal, 88:2564, 2005 : PubMed
Molecular dynamics simulations of a homology model of the ligand binding domain of the alpha7 nicotinic receptor are conducted with a range of bound ligands to induce different conformational states. Four simulations of 15 ns each are run with no ligand, antagonist d-tubocurarine (dTC), agonist acetylcholine (ACh), and agonist ACh with potentiator Ca(2+), to give insight into the conformations of the active and inactive states of the receptor and suggest the mechanism for conformational change. The main structural factor distinguishing the active and inactive states is that a more open, symmetric arrangement of the five subunits arises for the two agonist simulations, whereas a more closed and asymmetric arrangement results for the apo and dTC cases. Most of the difference arises in the lower portion of the ligand binding domain near its connection to the adjacent transmembrane domain. The transfer of the more open state to the transmembrane domain could then promote ion flow through the channel. Variation in how subunits pack together with no ligand bound appears to give rise to asymmetry in the apo case. The presence of dTC expands the receptor but induces rotations in alternate directions in adjacent subunits that lead to an asymmetric arrangement as in the apo case. Ca(2+) appears to promote a slightly greater expansion in the subunits than ACh alone by stabilizing the C-loop and ACh positions. Although the simulations are unlikely to be long enough to view the full conformational changes between open and closed states, a collection of different motions at a range of length scales are observed that are likely to participate in the conformational change.
Title: The entropic cost of protein-protein association: a case study on acetylcholinesterase binding to fasciculin-2 Minh DD, Bui JM, Chang CE, Jain T, Swanson JM, McCammon JA Ref: Biophysical Journal, 89:L25, 2005 : PubMed
Title: Induced fit in mouse acetylcholinesterase upon binding a femtomolar inhibitor: a molecular dynamics study Senapati S, Bui JM, McCammon JA Ref: Journal of Medicinal Chemistry, 48:8155, 2005 : PubMed
A molecular dynamics simulation of mouse acetylcholinesterase (mAChE) complexed with syn-TZ2PA6, a femtomolar AChE inhibitor, is compared to a simulation of unliganded mAChE. The simulation of the complex was initiated by placing the inhibitor in its bound conformation of the crystal complex into a structure of unliganded mAChE selected from preliminary protein-ligand docking results. During a 2 ns period, the enzyme subsequently displayed a substantial "induced fit" response to yield a conformation very similar to that obtained by crystallography (Bourne et al. Proc. Natl. Acad. Sci. U.S.A. 2004, 101, 1449-1454). In this conformation of unique nature, the Trp 286 side chain of the enzyme flips out of the hydrophobic core and becomes highly solvent exposed. The imidazole ring of His 287 is almost orthogonal relative to its position in the unliganded enzyme, creating a stable pi stacking arrangement with the Trp 286 side chain. Other major deviations among the active site residues include side chain conformational changes of Trp 86, Tyr 133, Tyr 337, and Phe 338. These residues in the complex deviate from their positions in unliganded mAChE to better accommodate the inhibitor in the active site gorge.
The tetramer is the most important form for acetylcholinesterase in physiological conditions, i.e., in the neuromuscular junction and the nervous system. It is important to study the diffusion of acetylcholine to the active sites of the tetrameric enzyme to understand the overall signal transduction process in these cellular components. Crystallographic studies revealed two different forms of tetramers, suggesting a flexible tetramer model for acetylcholinesterase. Using a recently developed finite element solver for the steady-state Smoluchowski equation, we have calculated the reaction rate for three mouse acetylcholinesterase tetramers using these two crystal structures and an intermediate structure as templates. Our results show that the reaction rates differ for different individual active sites in the compact tetramer crystal structure, and the rates are similar for different individual active sites in the other crystal structure and the intermediate structure. In the limit of zero salt, the reaction rates per active site for the tetramers are the same as that for the monomer, whereas at higher ionic strength, the rates per active site for the tetramers are approximately 67%-75% of the rate for the monomer. By analyzing the effect of electrostatic forces on ACh diffusion, we find that electrostatic forces play an even more important role for the tetramers than for the monomer. This study also shows that the finite element solver is well suited for solving the diffusion problem within complicated geometries.
Title: The association of tetrameric acetylcholinesterase with ColQ tail: a block normal mode analysis Zhang D, McCammon JA Ref: PLoS Comput Biol, 1:e62, 2005 : PubMed
Acetylcholinesterase (AChE) rapidly hydrolyzes acetylcholine in the neuromuscular junctions and other cholinergic synapses to terminate the neuronal signal. In physiological conditions, AChE exists as tetramers associated with the proline-rich attachment domain (PRAD) of either collagen-like Q subunit (ColQ) or proline-rich membrane-anchoring protein. Crystallographic studies have revealed that different tetramer forms may be present, and it is not clear whether one or both are relevant under physiological conditions. Recently, the crystal structure of the tryptophan amphiphilic tetramerization (WAT) domain of AChE associated with PRAD ([WAT]4PRAD), which mimics the interface between ColQ and AChE tetramer, became available. In this study we built a complete tetrameric mouse [AChE(T)]4-ColQ atomic structure model, based on the crystal structure of the [WAT]4PRAD complex. The structure was optimized using energy minimization. Block normal mode analysis was done to investigate the low-frequency motions of the complex and to correlate the structure model with the two known crystal structures of AChE tetramer. Significant low-frequency motions among the catalytic domains of the four AChE subunits were observed, while the [WAT]4PRAD part held the complex together. Normal mode involvement analysis revealed that the two lowest frequency modes were primarily involved in the conformational changes leading to the two crystal structures. The first 30 normal modes can account for more than 75% of the conformational changes in both cases. The evidence further supports the idea of a flexible tetramer model for AChE. This model can be used to study the implications of the association of AChE with ColQ.
Title: The displacement of ligand through the bottleneck region of the acetylcholinesterase gorge Bui JM, McCammon JA Ref: In: Cholinesterases in the Second Millennium: Biomolecular and Pathological Aspects, (Inestrosa NC, Campos EO) P. Universidad Catolica de Chile-FONDAP Biomedicina:207 , 2004 : PubMed
Title: Poster (69) The dynamics of ligand barrier-crossing transitions inside. the acetylcholinesterase gorge Bui JM, Straatsma T, McCammon JA Ref: In: Cholinesterases in the Second Millennium: Biomolecular and Pathological Aspects, (Inestrosa NC, Campos EO) P. Universidad Catolica de Chile-FONDAP Biomedicina:357, 2004 : PubMed
Title: Acetylcholinesterase: enhanced fluctuations and alternative routes to the active site in the complex with fasciculin-2 Bui JM, Tai K, McCammon JA Ref: Journal of the American Chemical Society, 126:7198, 2004 : PubMed
A 15 ns molecular dynamics simulation is reported for the complex of mouse acetylcholinesterase (mAChE) and the protein neurotoxin fasciculin-2. As compared to a 15 ns simulation of apo-mAChE, the structural fluctuations of the enzyme are substantially increased in magnitude for the enzyme in the complex. Fluctuations of part of the long omega loop (residues 69-96) are particularly enhanced. This loop forms one wall of the active site, and the enhanced fluctuations lead to additional routes of access to the active site.
Title: Influence of water on the function of acetylcholinesterase. Henchman R, Tai K, Shen T, McCammon JA Ref: Cholinergic Mechanisms, CRC Press, :589, 2004 : PubMed
Title: Finite element solution of the steady-state Smoluchowski equation for rate constant calculations Song Y, Zhang Y, Shen T, Bajaj CL, McCammon JA, Baker NA Ref: Biophysical Journal, 86:2017, 2004 : PubMed
This article describes the development and implementation of algorithms to study diffusion in biomolecular systems using continuum mechanics equations. Specifically, finite element methods have been developed to solve the steady-state Smoluchowski equation to calculate ligand binding rate constants for large biomolecules. The resulting software has been validated and applied to mouse acetylcholinesterase. Rates for inhibitor binding to mAChE were calculated at various ionic strengths with several different reaction criteria. The calculated rates were compared with experimental data and show very good agreement when the correct reaction criterion is used. Additionally, these finite element methods require significantly less computational resources than existing particle-based Brownian dynamics methods.
The dynamics of ligand movement through the constricted region of the acetylcholinesterase gorge is important in understanding how the ligand gains access to and is released from the active site of the enzyme. Molecular dynamics simulations of the simple ligand, tetramethylammonium, crossing this bottleneck region are conducted using umbrella potential sampling and activated flux techniques. The low potential of mean force obtained is consistent with the fast reaction rate of acetylcholinesterase observed experimentally. From the results of the activated dynamics simulations, local conformational fluctuations of the gorge residues and larger scale collective motions of the protein are found to correlate highly with the ligand crossing.
Title: Asymmetric structural motions of the homomeric alpha7 nicotinic receptor ligand binding domain revealed by molecular dynamics simulation Henchman RH, Wang HL, Sine SM, Taylor P, McCammon JA Ref: Biophysical Journal, 85:3007, 2003 : PubMed
A homology model of the ligand binding domain of the alpha7 nicotinic receptor is constructed based on the acetylcholine-binding protein crystal structure. This structure is refined in a 10 ns molecular dynamics simulation. The modeled structure proves fairly resilient, with no significant changes at the secondary or tertiary structural levels. The hypothesis that the acetylcholine-binding protein template is in the activated or desensitized state, and the absence of a bound agonist in the simulation suggests that the structure may also be relaxing from this state to the activatable state. Candidate motions that take place involve not only the side chains of residues lining the binding sites, but also the subunit positions that determine the overall shape of the receptor. In particular, two nonadjacent subunits move outward, whereas their partners counterclockwise to them move inward, leading to a marginally wider interface between themselves and an overall asymmetric structure. This in turn affects the binding sites, producing two that are more open and characterized by distinct side-chain conformations of W54 and L118, although motions of the side chains of all residues in every binding site still contribute to a reduction in binding site size, especially the outward motion of W148, which hinders acetylcholine binding. The Cys loop at the membrane interface also displays some flexibility. Although the short simulation timescale is unlikely to sample adequately all the conformational states, the pattern of observed motions suggests how ligand binding may correlate with larger-scale subunit motions that would connect with the transmembrane region that controls the passage of ions. Furthermore, the shape of the asymmetry with binding sites of differing affinity for acetylcholine, characteristic of other nicotinic receptors, may be a natural property of the relaxed, activatable state of alpha7.
Title: Studying the roles of W86, E202, and Y337 in binding of acetylcholine to acetylcholinesterase using a combined molecular dynamics and multiple docking approach Kua J, Zhang Y, Eslami AC, Butler JR, McCammon JA Ref: Protein Science, 12:2675, 2003 : PubMed
A combined molecular dynamics simulation and multiple ligand docking approach is applied to study the roles of the anionic subsite residues (W86, E202, Y337) in the binding of acetylcholine (ACh) to acetylcholinesterase (AChE). We find that E202 stabilizes docking of ACh via electrostatic interactions. However, we find no significant electrostatic contribution from the aromatic residues. Docking energies of ACh to mutant AChE show a more pronounced effect because of size/shape complementarity. Mutating to smaller residues results in poorer binding, both in terms of docking energy and statistical docking probability. Besides separating out electrostatics by turning off the partial charges from each residue and comparing it with the native, the mutations in this study are W86F, W86A, E202D, E202Q, E202A, Y337F, and Y337A. We also find that all perturbations result in a significant reduction in binding of extended ACh in the catalytically productive orientation. This effect is primarily caused by a small shift in preferred position of the quaternary tail.
Title: Nanosecond dynamics of the mouse acetylcholinesterase cys69-cys96 omega loop Shi J, Tai K, McCammon JA, Taylor P, Johnson DA Ref: Journal of Biological Chemistry, 278:30905, 2003 : PubMed
The paradox of high substrate turnover occurring within the confines of a deep, narrow gorge through which acetylcholine must traverse to reach the catalytic site of acetylcholinesterase has suggested the existence of transient gorge enlargements that would enhance substrate accessibility. To establish a foundation for the experimental study of transient fluctuations in structure, site-directed labeling in conjunction with time-resolved fluorescence anisotropy were utilized to assess the possible involvement of the omega loop (Omega loop), a segment that forms the outer wall of the gorge. Specifically, the flexibility of three residues (L76C, E81C, and E84C) in the Cys69-Cys96 Omega loop and one residue (Y124C) across the gorge from the Omega loop were studied in the absence and presence of two inhibitors of different size, fasciculin and huperzine. Additionally, to validate the approach molecular dynamics was employed to simulate anisotropy decay of the side chains. The results show that the Omega loop residues are significantly more mobile than the non-loop residue facing the interior of the gorge. Moreover, fasciculin, which binds at the mouth of the gorge, well removed from the active site, decreases the mobility of 5-((((2-acetyl)amino)ethyl)amino)naphthalene-1-sulfonic acid reporter groups attached to L76C and Y124C but increases the mobility of the reporter groups attached to E81C and E84C. Huperzine, which binds at the base of active-site gorge, has no effect on the mobility of reporter groups attached to L76C and Y124C but increases the mobility of the reporter groups attached to E81C and E84C. Besides showing that fluctuations of the Omega loop residues are not tightly coupled, the results indicate that residues in the Omega loop exhibit distinctive conformational fluctuations and therefore are likely to contribute to transient gorge enlargements in the non-liganded enzyme.
Title: Properties of water molecules in the active site gorge of acetylcholinesterase from computer simulation Henchman RH, Tai K, Shen T, McCammon JA Ref: Biophysical Journal, 82:2671, 2002 : PubMed
A 10-ns trajectory from a molecular dynamics simulation is used to examine the structure and dynamics of water in the active site gorge of acetylcholinesterase to determine what influence water may have on its function. While the confining nature of the deep active site gorge slows down and structures water significantly compared to bulk water, water in the gorge is found to display a number of properties that may aid ligand entry and binding. These properties include fluctuations in the population of gorge waters, moderate disorder and mobility of water in the middle and entrance to the gorge, reduced water hydrogen-bonding ability, and transient cavities in the gorge.
Title: Structural and dynamic properties of water around acetylcholinesterase Henchman RH, McCammon JA Ref: Protein Science, 11:2080, 2002 : PubMed
Structural and dynamic properties of water molecules around acetylcholinesterase are examined from a 10-nsec molecular dynamics simulation to help understand how the protein alters water properties. Water structure is broken down into hydration sites constructed from the water density <3.6 A from the protein surface. These sites are characterized according to occupancy, number of water neighbors, hydrogen bonds, dipole moment, and residence time. The site description provides a convenient means to describe the extent and localization of these properties. Determining the network of paths that waters follow from site to site and measuring the rate of flow of waters from the sites to the bulk make it possible to quantitatively study the time scales and paths that water molecules follow as they move around the protein.
Title: Studying enzyme binding specificity in acetylcholinesterase using a combined molecular dynamics and multiple docking approach Kua J, Zhang Y, McCammon JA Ref: J Am Chem Soc, 124:8260, 2002 : PubMed
A combined molecular dynamics simulation and multiple ligand docking approach is applied to study the binding specificity of acetylcholinesterase (AChE) with its natural substrate acetylcholine (ACh), a family of substrate analogues, and choline. Calculated docking energies are well correlated to experimental k(cat)/K(M) values, as well as to experimental binding affinities of a related series of TMTFA inhibitors. The "esteratic" and "anionic" subsites are found to act together to achieve substrate binding specificity. We find that the presence of ACh in the active site of AChE not only stabilizes the setup of the catalytic triad but also tightens both subsites to achieve better binding. The docking energy gained from this induced fit is 0.7 kcal/mol for ACh. For the binding of the substrate tailgroup to the anionic subsite, both the size and the positive charge of the tailgroup are important. The removal of the positive charge leads to a weaker binding of 1 kcal/mol loss in docking energy. Substituting each tail methyl group with hydrogen results in both an incremental loss in docking energy and also a decrease in the percentage of structures docked in the active site correctly set up for catalysis.
Molecular dynamics simulations are leading to a deeper understanding of the activity of the enzyme acetylcholinesterase. Simulations have shown how breathing motions in the enzyme facilitate the displacement of substrate from the surface of the enzyme to the buried active site. The most recent work points to the complex and spatially extensive nature of such motions and suggests possible modes of regulation of the activity of the enzyme.
Title: Mechanism of acetylcholinesterase inhibition by fasciculin: a 5-ns molecular dynamics simulation Tai K, Shen T, Henchman RH, Bourne Y, Marchot P, McCammon JA Ref: Journal of the American Chemical Society, 124:6153, 2002 : PubMed
Our previous molecular dynamics simulation (10 ns) of mouse acetylcholinesterase (EC 3.1.1.7) revealed complex fluctuation of the enzyme active site gorge. Now we report a 5-ns simulation of acetylcholinesterase complexed with fasciculin 2. Fasciculin 2 binds to the gorge entrance of acetylcholinesterase with excellent complementarity and many polar and hydrophobic interactions. In this simulation of the protein-protein complex, where fasciculin 2 appears to sterically block access of ligands to the gorge, again we observe a two-peaked probability distribution of the gorge width. When fasciculin is present, the gorge width distribution is altered such that the gorge is more likely to be narrow. Moreover, there are large increases in the opening of alternative passages, namely, the side door (near Thr 75) and the back door (near Tyr 449). Finally, the catalytic triad arrangement in the acetylcholinesterase active site is disrupted with fasciculin bound. These data support that, in addition to the steric obstruction seen in the crystal structure, fasciculin may inhibit acetylcholinesterase by combined allosteric and dynamical means. Additional data from these simulations can be found at http:\/\/mccammon.ucsd.edu/.
Title: Role of the Catalytic Triad and Oxyanion Hole in Acetylcholinesterase Catalysis: An ab initio QM/MM Study Zhang Y, Kua J, McCammon JA Ref: J Am Chem Soc, 124:10572, 2002 : PubMed
The initial step of the acylation reaction catalyzed by acetylcholinesterase (AChE) has been studied by a combined ab initio quantum mechanical/molecular mechanical (QM/MM) approach. The reaction proceeds through the nucleophilic addition of the Ser203 O to the carbonyl C of acetylcholine, and the reaction is facilitated by simultaneous proton transfer from Ser203 to His447. The calculated potential energy barrier at the MP2(6-31+G) QM/MM level is 10.5 kcal/mol, consistent with the experimental reaction rate. The third residue of the catalytic triad, Glu334, is found to be essential in stabilizing the transition state through electrostatic interactions. The oxyanion hole, formed by peptidic NH groups from Gly121, Gly122, and Ala204, is also found to play an important role in catalysis. Our calculations indicate that, in the AChE-ACh Michaelis complex, only two hydrogen bonds are formed between the carbonyl oxygen of ACh and the peptidic NH groups of Gly121 and Gly122. As the reaction proceeds, the distance between the carbonyl oxygen of ACh and NH group of Ala204 becomes smaller, and the third hydrogen bond is formed both in the transition state and in the tetrahedral intermediate
We report on a theoretical model for the complex of the enzyme alanine racemase with its natural substrate (L-alanine) and cofactor (pyridoxal 5'-phosphate). Electrostatic potentials were calculated and ionization states were predicted for all of the ionizable groups in alanine racemase. Some rather unusual charge states were predicted for certain residues. Tyr265' has an unusually low predicted pK(a) of 7.9 and at pH 7.0 has a predicted average charge of -0.37, meaning that 37% of the Tyr265' residues in an ensemble of enzyme molecules are in the phenolate form. At pH 8-9, the majority of Tyr265' side groups will be in the phenolate form. This lends support to the experimental evidence that Tyr265' is the catalytic base involved in the conversion of L-alanine to D-alanine. Residues Lys39 and Lys129 have predicted average charges of +0.91 and +0.14, respectively, at pH 7.0. Lys39 is believed to be the catalytic base for the conversion of D-alanine to L-alanine, and the present results show that, at least some of the time, it is in the unprotonated amine form and thus able to act as a base. Cys311', which is located very close to the active site, has an unusually low predicted pK(a) of 5.8 and at pH 7.0 has a predicted average charge of -0.72. The very low predicted charge for Lys129 is consistent with experimental evidence that it is carbamylated, since an unprotonated amine group is available to act as a Lewis base and form the carbamate with CO(2). Repeating the pK(a) calculations on the enzyme with Lys129 in carbamylated form predicts trends similar to those of the uncarbamylated enzyme. It appears that the enzyme has the ability to stabilize negative charge in the region of the active site. Implications for selective inhibitor design are discussed.
Title: Statistical analysis of the fractal gating motions of the enzyme acetylcholinesterase Shen TY, Tai K, McCammon JA Ref: Phys Rev E Stat Nonlin Soft Matter Phys, 63:041902, 2001 : PubMed
The enzyme acetylcholinesterase has an active site that is accessible only by a "gorge" or main channel from the surface, and perhaps by secondary channels such as the "back door." Molecular-dynamics simulations show that these channels are too narrow most of the time to admit substrate or other small molecules. Binding of substrates is therefore "gated" by structural fluctuations of the enzyme. Here, we analyze the fluctuations of these possible channels, as observed in the 10.8-ns trajectory of the simulation. The probability density function of the gorge proper radius (defined in the text) was calculated. A double-peak feature of the function was discovered and therefore two states with a threshold were identified. The relaxation (transition probability) functions of these two states were also calculated. The results revealed a power-law decay trend and an oscillation around it, which show properties of fractal dynamics with a "complex exponent." The cross correlation of potential energy versus proper radius was also investigated. We discuss possible physical models behind the fractal protein dynamics; the dynamic hierarchical model for glassy systems is evaluated in detail.
A 10-ns molecular dynamics simulation of mouse acetylcholinesterase was analyzed, with special attention paid to the fluctuation in the width of the gorge and opening events of the back door. The trajectory was first verified to ensure its stability. We defined the gorge proper radius as the measure for the extent of gorge opening. We developed an expression of an inter-atom distance representative of the gorge proper radius in terms of projections on the principal components. This revealed the fact that collective motions of many scales contribute to the opening behavior of the gorge. Covariance and correlation results identified the motions of the protein backbone as the gorge opens. In the back-door region, side-chain dihedral angles that define the opening were identified.
Title: Electrostatic steering of substrate to acetylcholinesterase: analysis of field fluctuations Wlodek ST, Shen T, McCammon JA Ref: Biopolymers, 53:265, 2000 : PubMed
Based on previous molecular dynamics simulation results for acetylcholinesterase dimer, we calculate and analyse the electrostatic field fluctuations around the enzyme. The results show that dynamic features of the electrostatic field favor attraction of the positively-charged substrate. An Internet link to an animation of the results is also provided.
Fasciculin-2 (FAS2) is a potent protein inhibitor of the hydrolytic enzyme acetylcholinesterase. A 2-ns isobaric-isothermal ensemble molecular dynamics simulation of this toxin was performed to examine the dynamic structural properties which may play a role in this inhibition. Conformational fluctuations of the FAS2 protein were examined by a variety of techniques to identify flexible residues and determine their characteristic motion. The tips of the toxin "finger" loops and the turn connecting loops I and II were found to fluctuate, while the rest of the protein remained fairly rigid throughout the simulation. Finally, the structural fluctuations were compared to NMR data of fluctuations on a similar timescale in a related three-finger toxin. The molecular dynamics results were in good qualitative agreement with the experimental measurements. Proteins 1999;36:447-453.
Title: Computer Simulation of Protein-Protein Association Kinetics: Acetylcholinesterase-Fasciculin Elcock AH, Gabdoulline RR, Wade RC, McCammon JA Ref: Journal of Molecular Biology, 291:149, 1999 : PubMed
Computer simulations were performed to investigate the role of electrostatic interactions in promoting fast association of acetylcholinesterase with its peptidic inhibitor, the neurotoxin fasciculin. The encounter of the two macromolecules was simulated with the technique of Brownian dynamics (BD), using atomically detailed structures, and association rate constants were calculated for the wild-type and a number of mutant proteins. In a first set of simulations, the ordering of the experimental rate constants for the mutant proteins was correctly reproduced, although the absolute values of the rate constants were overestimated by a factor of around 30. Rigorous calculations of the full electrostatic interaction energy between the two proteins indicate that this overestimation of association rates results at least in part from approximations made in the description of interaction energetics in the BD simulations. In particular, the initial BD simulations neglect the unfavourable electrostatic desolvation effects that result from the exclusion of high dielectric solvent that accompanies the approach of the two low dielectric proteins. This electrostatic desolvation component is so large that the overall contribution of electrostatics to the binding energy of the complex is unlikely to be strongly favourable. Nevertheless, electrostatic interactions are still responsible for increased association rates, because even if they are unfavourable in the fully formed complex, they are still favourable at intermediate protein-protein separation distances. It therefore appears possible for electrostatic interactions to promote the kinetics of binding even if they do not make a strongly favourable contribution to the thermodynamics of binding. When an approximate description of these electrostatic desolvation effects is included in a second set of BD simulations, the relative ordering of the mutant proteins is again correctly reproduced, but now association rate constants that are much closer in magnitude to the experimental values are obtained. Inclusion of electrostatic desolvation effects also improves reproduction of the experimental ionic strength dependence of the wild-type association rate.
Title: Mouse acetylcholinesterase unliganded and in complex with huperzine A: a comparison of molecular dynamics simulations Tara S, Straatsma TP, McCammon JA Ref: Biopolymers, 50:35, 1999 : PubMed
A 1 ns molecular dynamics simulation of unliganded mouse acetylcholinesterase (AChE) is compared to a previous simulation of mouse AChE complexed with huperzine A (HupA). Several common features are observed. In both simulations, the active site gorge fluctuates in size during the 1 ns trajectory and is completely pinched off several times. Many of the residues in the gorge that formed hydrogen bonds with HupA in the simulation of the complex now form hydrogen bonds with other protein residues and water molecules in the gorge. The opening of a "backdoor" entrance to the active site that was found in the simulation of the complex is also observed in the unliganded simulation. Differences between the two simulations include overall lower structural rms deviations for residues in the gorge in the unliganded simulation, a smaller diameter of the gorge in the absence of HupA, and the disappearance of a side channel that was frequently present in the liganded simulation. The differences between the two simulations can be attributed, in part, to the interaction of AChE with HupA.
Two molecular dynamics simulations were performed for a modeled complex of mouse acetylcholinesterase liganded with huperzine A (HupA). Analysis of these simulations shows that HupA shifts in the active site toward Tyr 337 and Phe 338, and that several residues in the active site area reach out to make hydrogen bonds with the inhibitor. Rapid fluctuations of the gorge width are observed, ranging from widths that allow substrate access to the active site, to pinched structures that do not allow access of molecules as small as water. Additional openings or channels to the active site are found. One opening is formed in the side wall of the active site gorge by residues Val 73, Asp 74, Thr 83, Glu 84, and Asn 87. Another opening is formed at the base of the gorge by residues Trp 86, Val 132, Glu 202, Gly 448, and Ile 451. Both of these openings have been observed separately in the Torpedo californica form of the enzyme. These channels could allow transport of waters and ions to and from the bulk solution.
Title: Weighted-Ensemble Brownian Dynamics for Charged Ligand Diffusion onto Acetylcholinesterase Baker NA, Huber G, McCammon JA Ref: In: Structure and Function of Cholinesterases and Related Proteins - Proceedings of Sixth International Meeting on Cholinesterases, (Doctor, B.P., Taylor, P., Quinn, D.M., Rotundo, R.L., Gentry, M.K. Eds) Plenum Publishing Corp.:367, 1998 : PubMed
Title: Computer Simulation Studies of Acetylcholinesterase Dynamics and Activity McCammon JA, Wlodek ST, Clark TW, Kirchhoff P, Scott LR, Tara S Ref: In: Structure and Function of Cholinesterases and Related Proteins - Proceedings of Sixth International Meeting on Cholinesterases, (Doctor, B.P., Taylor, P., Quinn, D.M., Rotundo, R.L., Gentry, M.K. Eds) Plenum Publishing Corp.:327, 1998 : PubMed
Title: Rapid binding of a cationic active site inhibitor to wild type and mutant mouse acetylcholinesterase: Brownian dynamics simulation including diffusion in the active site gorge Tara S, Elcock AH, Kirchhoff PD, Briggs JM, Radic Z, Taylor P, McCammon JA Ref: Biopolymers, 46:465, 1998 : PubMed
It is known that anionic surface residues play a role in the long-range electrostatic attraction between acetylcholinesterase and cationic ligands. In our current investigation, we show that anionic residues also play an important role in the behavior of the ligand within the active site gorge of acetylcholinesterase. Negatively charged residues near the gorge opening not only attract positively charged ligands from solution to the enzyme, but can also restrict the motion of the ligand once it is inside of the gorge. We use Brownian dynamics techniques to calculate the rate constant kon, for wild type and mutant acetylcholinesterase with a positively charged ligand. These calculations are performed by allowing the ligand to diffuse within the active site gorge. This is an extension of previously reported work in which a ligand was allowed to diffuse only to the enzyme surface. By setting the reaction criteria for the ligand closer to the active site, better agreement with experimental data is obtained. Although a number of residues influence the movement of the ligand within the gorge, Asp74 is shown to play a particularly important role in this function. Asp74 traps the ligand within the gorge, and in this way helps to ensure a reaction.
Title: Molecular Dynamics of Acetylcholinesterase Dimer Wlodek ST, Clark TW, McCammon JA Ref: In: Structure and Function of Cholinesterases and Related Proteins - Proceedings of Sixth International Meeting on Cholinesterases, (Doctor, B.P., Taylor, P., Quinn, D.M., Rotundo, R.L., Gentry, M.K. Eds) Plenum Publishing Corp.:369, 1998 : PubMed
Title: Correlation between rate of enzyme-substrate diffusional encounter and average Boltzmann factor around active site Zhou HX, Briggs JM, Tara S, McCammon JA Ref: Biopolymers, 45:355, 1998 : PubMed
The utility of the average Boltzmann factor around the active site of an enzyme as the predictor of the electrostatic enhancement of the substrate binding rate is tested on a set of data on wild-type acetylcholinesterase and 18 charge mutants recently obtained by Brownian dynamics simulations. A good correlation between the average Boltzmann factors and the substrate binding rate constants is found. The effects of single charge mutations on both the Boltzmann factor and the substrate binding rate constant are modest, i.e., < 5 fold increase or decrease. This is consistent with the experimental results of Shafferman et al. but does not support their suggestion that the overall rate of the catalytic reaction is not limited by the diffusional encounter of acetylcholinesterase and its substrate.
Title: Conformation gating as a mechanism for enzyme specificity Zhou HX, Wlodek ST, McCammon JA Ref: Proceedings of the National Academy of Sciences of the United States of America, 95:9280, 1998 : PubMed
Acetylcholinesterase, with an active site located at the bottom of a narrow and deep gorge, provides a striking example of enzymes with buried active sites. Recent molecular dynamics simulations showed that reorientation of five aromatic rings leads to rapid opening and closing of the gate to the active site. In the present study the molecular dynamics trajectory is used to quantitatively analyze the effect of the gate on the substrate binding rate constant. For a 2. 4-A probe modeling acetylcholine, the gate is open only 2.4% of the time, but the quantitative analysis reveals that the substrate binding rate is slowed by merely a factor of 2. We rationalize this result by noting that the substrate, by virtue of Brownian motion, will make repeated attempts to enter the gate each time it is near the gate. If the gate is rapidly switching between the open and closed states, one of these attempts will coincide with an open state, and then the substrate succeeds in entering the gate. However, there is a limit on the extent to which rapid gating dynamics can compensate for the small equilibrium probability of the open state. Thus the gate is effective in reducing the binding rate for a ligand 0.4 A bulkier by three orders of magnitude. This relationship suggests a mechanism for achieving enzyme specificity without sacrificing efficiency.
Title: Electrostatic influence on the kinetics of ligand binding to acetylcholinesterase. Distinctions between active center ligands and fasciculin Radic Z, Kirchhoff PD, Quinn DM, McCammon JA, Taylor P Ref: Journal of Biological Chemistry, 272:23265, 1997 : PubMed
To explore the role that surface and active center charges play in electrostatic attraction of ligands to the active center gorge of acetylcholinesterase (AChE), and the influence of charge on the reactive orientation of the ligand, we have studied the kinetics of association of cationic and neutral ligands with the active center and peripheral site of AChE. Electrostatic influences were reduced by sequential mutations of six surface anionic residues outside of the active center gorge (Glu-84, Glu-91, Asp-280, Asp-283, Glu-292, and Asp-372) and three residues within the active center gorge (Asp-74 at the rim and Glu-202 and Glu-450 at the base). The peripheral site ligand, fasciculin 2 (FAS2), a peptide of 6.5 kDa with a net charge of +4, shows a marked enhancement of rate of association with reduction in ionic strength, and this ionic strength dependence can be markedly reduced by progressive neutralization of surface and active center gorge anionic residues. By contrast, neutralization of surface residues only has a modest influence on the rate of cationic m-trimethylammoniotrifluoroacetophenone (TFK+) association with the active serine, whereas neutralization of residues in the active center gorge has a marked influence on the rate but with little change in the ionic strength dependence. Brownian dynamics calculations for approach of a small cationic ligand to the entrance of the gorge show the influence of individual charges to be in quantitative accord with that found for the surface residues. Anionic residues in the gorge may help to orient the ligand for reaction or to trap the ligand. Bound FAS2 on AChE not only reduces the rate of TFK+ reaction with the active center but inverts the ionic strength dependence for the cationic TFK+ association with AChE. Hence it appears that TFK+ must traverse an electrostatic barrier at the gorge entry imparted by the bound FAS2 with its net charge of +4.
Title: Acetylcholinesterase: role of the enzyme's charge distribution in steering charged ligands toward the active site Antosiewicz J, Wlodek ST, McCammon JA Ref: Biopolymers, 39:85, 1996 : PubMed
The electrostatic steering of charged ligands toward the active site of Torpedo californica acetylcholinesterase is investigated by Brownian dynamics simulations of wild type enzyme and several mutated forms, in which some normally charged residues are neutralized. The simulations reveal that the total ligand influx through a surface of 42 A radius centered in the enzyme monomer and separated from the protein surface by 1-14 A is not significantly influenced by electrostatic interactions. Electrostatic effects are visible for encounters with a surface of 32 A radius, which is partially hidden inside the protein, but mostly within the solvent. A clear accumulation of encounter events for that sphere is observed in the area directly above the entrance to the active site gorge. In this area, the encounter events are increased by 40% compared to the case of a neutral ligand. However, the differences among the encounter rates for the various mutants considered here are not pronounced, all rate constants being within +/- 10% of the average value. The enzyme charge distribution becomes more important as the charged ligand moves toward the bottom of the gorge, where the active site is located. We show that neither the enzyme's total charge, nor its dipole moment, fully account for the electrostatic steering of ligand to the active site. Higher moments of the enzyme's charge distribution are also important. However, for a series of mutations for which the direction of the enzyme dipole moment is constant within a few degrees, one observes a gradual decrease in the diffusional encounter rate constant with the number of neutralized residues. On the other hand, for other mutants that change the direction of the dipole moment from that of the wild type, the calculated encounter rate constants can be very close to that of the wild type. The present work yields two new insights to the kinetics of acetylcholinesterase. First, evolution appears to have built a redundant electrostatic steering capability into this important enzyme through the overall distribution of its thousands of partially charged atoms. And second, roughly half of the rate enhancement due to electrostatics arises from steering of the substrate outside the enzyme; the other half of the rate enhancement arises from improved trapping of the substrate after it has entered the gorge. The computational results reproduce qualitatively, and help to rationalize, many surprising experimental results obtained recently for human acetylcholinesterase.
Multiconfiguration thermodynamic integration was used to determine the relative binding strength of tacrine and 6-chlorotacrine by Torpedo californica acetylcholinesterase. 6-Chlorotacrine appears to be bound stronger by 0.7+/-0.4 kcal/mol than unsubstituted tacrine when the active site triad residue His-440 is deprotonated. This result is in excellent agreement with experimental inhibition data on electric eel acetylcholinesterase. Electrostatic Poisson-Boltzmann calculations confirm that order of binding strength, resulting in deltaG of binding of -2.9 and -3.3 kcal/mol for tacrine and chlorotacrine, respectively, and suggest inhibitor binding does not occur when His-440 is charged. Our results suggest that electron density redistribution upon tacrine chlorination is mainly responsible for the increased attraction potential between pronated inhibitor molecule and adjacent aromatic groups of Phe-330 and Trp-84.
A recent experimental study of human acetylcholinesterase has shown that the mutation of surface acidic residues has little effect on the rate constant for hydrolysis of acetylthiocholine. It was concluded, on this basis, that the reaction is not diffusion controlled and that electrostatic steering plays only a minor role in determining the rate. Here we examine this issue through Brownian dynamics simulations on Torpedo californica acetylcholinesterase in which the surface acidic residues homologous with those mutated in the human enzyme are artificially neutralized. The computed effects of the mutations on the rate constants reproduce quite well the modest effects of the mutations upon the measured encounter rates. Nonetheless, the electrostatic field of the enzyme is found to increase the rate constants by about an order of magnitude in both the wild type and the mutants. We therefore conclude that the mutation experiments do not disprove that electrostatic steering substantially affects the catalytic rate of acetylcholinesterase.
Title: Acetylcholinesterase: diffusional encounter rate constants for dumbbell models of ligand Antosiewicz J, Gilson MK, Lee IH, McCammon JA Ref: Biophysical Journal, 68:62, 1995 : PubMed
For some enzymes, virtually every substrate molecule that encounters the entrance to the active site proceeds to reaction, at low substrate concentrations. Such diffusion-limited enzymes display high apparent bimolecular rate constants ((kcat/KM)), which depend strongly upon solvent viscosity. Some experimental studies provide evidence that acetylcholinesterase falls into this category. Interestingly, the asymmetric charge distribution of acetylcholinesterase, apparent from the crystallographic structure, suggests that its electrostatic field accelerates the encounter of its cationic substrate, acetylcholine, with the entrance to the active site. Here we report simulations of the diffusion of substrate in the electrostatic field of acetylcholinesterase. We find that the field indeed guides the substrate to the mouth of the active site. The computed encounter rate constants depend upon the particular relative geometries of substrate and enzyme that are considered to represent successful encounters. With loose reaction criteria, the computed rates exceed those measured experimentally, but the rate constants vary appropriately with ionic strength. Although more restrictive reaction criteria lower the computed rates, they also lead to unrealistic variation of the rate constants with ionic strength. That these simulations do not agree well with experiment suggests that the simple diffusion model is incomplete. Structural fluctuations in the enzyme or events after the encounter may well contribute to rate limitation.
Title: Computer Modeling of Acetylcholinesterase and Acetylcholinesterase-Ligand Complexes Wlodek ST, Antosiewicz J, Gilson MK, McCammon JA, Clark TW, Scott LR Ref: In Enzyme of the Cholinesterase Family - Proceedings of Fifth International Meeting on Cholinesterases, (Quinn, D.M., Balasubramanian, A.S., Doctor, B.P., Taylor, P., Eds) Plenum Publishing Corp.:97, 1995 : PubMed
The enzyme acetylcholinesterase generates a strong electrostatic field that can attract the cationic substrate acetylcholine to the active site. However, the long and narrow active site gorge seems inconsistent with the enzyme's high catalytic rate. A molecular dynamics simulation of acetylcholinesterase in water reveals the transient opening of a short channel, large enough to pass a water molecule, through a thin wall of the active site near tryptophan-84. This simulation suggests that substrate, products, or solvent could move through this "back door," in addition to the entrance revealed by the crystallographic structure. Electrostatic calculations show a strong field at the back door, oriented to attract the substrate and the reaction product choline and to repel the other reaction product, acetate. Analysis of the open back door conformation suggests a mutation that could seal the back door and thus test the hypothesis that thermal motion of this enzyme may open multiple routes of access to its active site.
Title: Acetylcholinesterase: electrostatic steering increases the rate of ligand binding Tan RC, Truong TN, McCammon JA, Sussman JL Ref: Biochemistry, 32:401, 1993 : PubMed
Brownian dynamics simulations have been used to calculate the diffusion-controlled rate constants for the binding of a positively charged ligand to several models of acetylcholinesterase (AChE). The crystal structure was used to define the detailed topography and the active sites of the dimeric enzyme. The electric field around AChE was then computed by solving the Poisson equation for different charge distributions in the enzyme at zero ionic strength. These fields were used in turn to calculate the forces on the diffusing ligand. Significant increases in the rate constant resulted in going from a model with no charges to one with the net charges concentrated at the centers of the monomers and then to a model with a realistic distribution of charges throughout the enzyme. The results show that electrostatic steering of ligands contributes to the high rate constants that are observed experimentally for AChE.
