Molecular Modeling of Glycosylated Catalytic Domain of Human Carbonic Anhydrase IX.

Glycans exhibit significant structural diversity due to the flexibility of glycosidic bonds linking their constituent monosaccharides and the formation of numerous hydrogen bonds. The present work searches a simulated ensemble of glycan chain conformations attached to the catalytic domain of N-glycosylated human carbonic anhydrase IX (HCA IX-c) to identify conformations pointed away or back-folded toward the protein surface guided by different amino acid residues. A series of classical molecular dynamics (MD) simulation studies for a total of 30 μs followed by accelerated MD simulations for a total of 2 μs have been performed using two different force fields to capture varying degrees of fluctuations of both glycan chain and HCA IX.

pH-Dependent Structure and Dynamics of the Catalytic Domains of Human Carbonic Anhydrase II and IX.

Extensive computer simulation studies have been carried out to probe the pH-dependent structure and dynamics of the two most efficient isoenzymes II and IX of human carbonic anhydrase (HCA) that control the pH in the human body. The equilibrium structure and hydration of their catalytic domains are found to be largely unaffected by the variation of pH in the range studied, in close agreement with the known experimental results. In contrast, a significant effect of the change in pH is observed for the first time on the local electrostatic potential of the active site walls and the dynamics of active site water molecules.

A Case Study on the Use of Binding Free Energies to Screen Inhibitors of Human Carbonic Anhydrase II.

We present in this article a case study on the thermodynamics of binding to human carbonic anhydrase II (HCA II) by three well-known inhibitors, viz. (a) acetazolamide (AZM) that directly binds to the catalytic Zn(II) ion at the active site, (b) non-zinc binding 6-hydroxy-2-thioxocoumarin (FC5) (c) 2-[(S)-benzylsulfinyl]benzoic acid (3G1). In each case, the crystal structure or its analogue of inhibitor-bound HCA II has been used to perform classical molecular dynamics (MD) simulation in water till .

Structure and Dynamics of the Isozymes II and IX of Human Carbonic Anhydrase.

Human carbonic anhydrases (HCAs) are responsible for the pH control and sensing in our body and constitute key components in the central pH paradigm connected to cancer therapeutics. However, little or no molecular level studies are available on the pH-dependent stability and functional dynamics of the known isozymes of HCA. The main objective of this Article is to report the first bench-marking study on the structure and dynamics of the two most efficient isozymes, HCA II and IX, at neutral pH using classical molecular dynamics (MD) and constant pH MD (CpHMD) simulations combined with umbrella sampling, transition path sampling, and Markov state models.

In the footsteps of an inhibitor unbinding from the active site of human carbonic anhydrase II.

The crystal structure of human carbonic anhydrase (HCA) II bound to an inhibitor molecule, 6-hydroxy-2-thioxocoumarin (FC5), shows FC5 to be located in a hydrophobic pocket at the active site. The present work employs classical molecular dynamics (MD) simulation to follow the FC5 molecule for 1 μs as it unbinds from its binding location, adopts the path of substrate/product diffusion (path 1) to leave the active site at around 75 ns. It is then found to undergo repeated binding and unbinding at different locations on the surface of the enzyme in water.

Nonlinear Reaction Coordinate of an Enzyme Catalyzed Proton Transfer Reaction.

We present an in-depth study on the theoretical calculation of an optimum reaction coordinate as a linear or nonlinear combination of important collective variables (CVs) sampled from an ensemble of reactive transition paths for an intramolecular proton transfer reaction catalyzed by the enzyme human carbonic anhydrase (HCA) II. The linear models are optimized by likelihood maximization for a given number of CVs. The nonlinear models are based on an artificial neural network with the same number of CVs and optimized by minimizing the root-mean-square error in comparison to a training set of committor estimators generated for the given transition.

Coordination Dynamics of Zinc Triggers the Rate Determining Proton Transfer in Human Carbonic Anhydrase II.

We present, for the first time, how transient changes in the coordination number of zinc ion affects the rate determining step in the enzyme human carbonic anhydrase (HCA) II. The latter involves an intramolecular proton transfer between a zinc-bound water and a distant histidine residue (His-64). In the absence of time-resolved experiments, results from classical and QM-MM molecular dynamics and transition path sampling simulations are presented.

Orthogonal order parameters to model the reaction coordinate of an enzyme catalyzed reaction.

The choice of suitable collective variables in formulating an optimal reaction coordinate is a challenging task for activated transitions between a pair of stable states especially when dealing with biochemical changes such as enzyme catalyzed reactions. A detailed benchmarking study is carried out on the choice of collective variables that can distinguish between the stable states unambiguously. We specifically address the issue if these variables may be directly used to model the optimal reaction coordinate, or if it would be better to use their orthogonalized counterparts.

Reaction Coordinate, Free Energy, and Rate of Intramolecular Proton Transfer in Human Carbonic Anhydrase II.

The role of structure and dynamics of an enzyme has been investigated at three different stages of its function including the chemical event it catalyzes. A one-pot computational method has been designed for each of these stages on the basis of classical and/or quantum mechanical-molecular mechanical molecular dynamics and transition path sampling simulations. For a pair of initial and final states A and B separated by a high free-energy barrier, using a two-stage selection process, several collective variables (CVs) are identified that can delineate A and B.

Coupling Protein Dynamics with Proton Transport in Human Carbonic Anhydrase II.

The role of protein dynamics in enzyme catalysis is one of the most highly debated topics in enzymology. The main controversy centers around what may be defined as functionally significant conformational fluctuations and how, if at all, these fluctuations couple to enzyme catalyzed events. To shed light on this debate, the conformational dynamics along the transition path surmounting the highest free energy barrier have been herein investigated for the rate limiting proton transport event in human carbonic anhydrase (HCA) II.

Identification of putative unfolding intermediates of the mutant His-107-tyr of human carbonic anhydrase II in a multidimensional property space.

In this article, we develop an extensive search procedure of the multi-dimensional folding energy landscape of a protein. Our aim is to identify different classes of structures that have different aggregation propensities and catalytic activity. Following earlier studies by Daggett et al.

Determination of the Reaction Coordinate for a Key Conformational Fluctuation in Human Carbonic Anhydrase II.

During the reversible hydration of carbon dioxide into bicarbonate by the enzyme human carbonic anhydrase II, the rate-determining step of proton transfer across the active site has been suggested to involve side chain rotation of the residue His-64 shuttling an excess proton in and out of the active site. In the present article, we have determined the reaction coordinate for this catalytically important conformational transition starting from a set of 32 order parameters (or candidate collective variables). Following the original work by Peters and Trout (J.

Structure and dynamics of water inside endohedrally functionalized carbon nanotubes.

We have carried out classical molecular dynamics simulations on the formation of extended water chains inside single-walled carbon nanotubes (SWCNTs) in water in the presence of selected functional groups covalently attached to the inner wall of the tube. Analogues of polar amino acid sidechains have been chosen to carry out the endohedral functionalization of SWCNTs. Our results show a spontaneous and asymmetric filling of the nanotube with dynamical water chains in all the cases studied.

Modeling the structure and proton transfer pathways of the mutant His-107-Tyr of human carbonic anhydrase II.

We present molecular modeling of the structure and possible proton transfer pathways from the surface of the protein to the zinc-bound water molecule in the active site of the mutant His-107-Tyr of human carbonic anhydrase II (HCAII). No high-resolution structure or crystal structure is available till now for this particular mutant due to its lack of stability at physiological temperature. Our analysis utilizes as starting point a series of structures derived from high-resolution crystal structure of the wild type protein.

Chemical rescue of enzymes: proton transfer in mutants of human carbonic anhydrase II.

In human carbonic anhydrase II (HCA II), the mutation of position 64 from histidine to alanine (H64A) disrupts the rate limiting proton transfer (PT) event, resulting in a reduction of the catalytic activity of the enzyme as compared to the wild-type. Potential of mean force (PMF) calculations utilizing the multistate empirical valence bond (MS-EVB) methodology for H64A HCA II yields a PT free energy barrier significantly higher than that found in the wild-type enzyme. This high barrier, determined in the absence of exogenous buffer and assuming no additional ionizable residues in the PT pathway, indicates the likelihood of alternate enzyme pathways that utilize either ionizable enzyme residues (self-rescue) and/or exogenous buffers (chemical rescue).

Role of protein motions on proton transfer pathways in human carbonic anhydrase II.

We report here a theoretical study on the formation of long-range proton transfer pathways in proteins due to side chain conformational fluctuations of amino acid residues and reorganization of interior hydration positions. The proton transfer pathways in such systems may be modeled as fluctuating hydrogen-bonded networks with both short- and long-lived connections between the networked nodes, the latter being formed by polar protein atoms and water molecules. It is known that these fluctuations may extend over several decades of time ranging from a few femtoseconds to a few milliseconds.

Transition path sampling study of the conformational fluctuation of His-64 in human carbonic anhydrase II.

We report here a transition path sampling study of the conformational fluctuation of His-64 that is known to be important in the enzymatic catalysis of human carbonic anhydrase II. The dynamical transition between experimentally detected conformations of His-64 could not be observed using classical molecular dynamics trajectories extended to 3.5 ns, indicating the transition to be rare on the time scale of molecular dynamics.

Proton affinities of some amino acid side chains in a restricted environment.

We investigate the dependence of proton affinity values of the side chains of amino acids such as Asp, Glu, His, Ser, and Thr on confinement in a single-walled carbon nanotube. The proton affinity values, estimated using the density functional theories (PW91/dnp and BLYP/dnp), are found to be highly sensitive toward confinement. We find that for both Asp and Glu, the proton affinity, while suspended inside the carbon nanotube, becomes much less in comparison to their respective gas phase values.

A theoretical study on the detection of proton transfer pathways in some mutants of human carbonic anhydrase II.

Structural and kinetic studies of mutants can give much insight into the function of an enzyme. We report the detection of possible proton transfer pathways into the active site of a number of mutants of the enzyme human carbonic anhydrase II (HCA II). Using a recently developed method of path search in the protein conformational space, we identify hydrogen-bonded networks (or proton paths) that can dynamically connect the protein surface to the active site through fluctuations in protein structure and hydration.

Identification of proton-transfer pathways in human carbonic anhydrase II.

We investigate the probable proton-transfer pathways from the surface of human carbonic anhydrase II into the active site cavity through His-64 that has been widely implicated as a key residue along the proton-transfer path. A recursive analysis of hydrogen-bonded clusters in the static crystallographic structure shows that there is no complete path through His-64 in either of its experimentally detected conformations. Side chain conformational fluctuation of His-64 from its outward conformation toward the active site is found to provide a crucial dynamic connectivity needed to complete the path coupled to local reorganization of the protein structure and hydration.

Bridge functions near the liquid-vapor coexistence curve in binary Lennard-Jones mixtures.

We have carried out extensive molecular-dynamics simulation studies of binary Lennard-Jones mixtures to calculate directly the bridge function at state points lying in a very narrow single fluid phase region between the vapor-liquid and solid-liquid coexistence lines [Lamm and Hall, Fluid Phase Equilib. 182, 37 (2001); 194-197, 197 (2002)]. By varying the density close to the liquid-vapor coexistence line, significant deviations are observed at intermediate distances between the simulated bridge function and two widely used approximate closures in the integral equation theory of liquids, viz.

Proton transfer pathways in the mutant His-64-Ala of human carbonic anhydrase II.

We have investigated the possible proton transfer pathways from the surface of the protein to the zinc-bound water molecule in the mutant His-64-Ala of human carbonic anhydrase II. Starting with an input of known crystallographic structures of the mutant, we model the proton pathways as hydrogen-bonded networks of proton conducting groups and bound solvent molecules. No proton path is detected in the mutant, in close agreement with the experimental observation of a 20-fold decrease in its catalytic efficiency compared to the wild-type enzyme.

Molecular dynamics study of the density and temperature dependence of bridge functions in normal and supercritical Lennard-Jones fluids.

A systematic study of the density and temperature dependence of bridge functions has been carried out using molecular dynamics simulation studies in one-component Lennard-Jones fluids. In deriving the liquid structure, approximate closures are generally used in integral equation theories of liquids to obtain static density correlations. In the present work, we have directly compared the simulated bridge function to two such commonly used closures, viz.