Biomedical subjects

G Andrés Cisneros

Publications and source records attributed to G Andrés Cisneros.

9 recordsLinked to original sources

PubMed2006

Generalization of the Gaussian electrostatic model: extension to arbitrary angular momentum, distributed multipoles, and speedup with reciprocal space methods.

The simulation of biological systems by means of current empirical force fields presents shortcomings due to their lack of accuracy, especially in the description of the nonbonded terms. We have previously introduced a force field based on density fitting termed the Gaussian electrostatic model-0 (GEM-0) J.-P. Piquemal et al. [J. Chem. Phys. 124, 104101 (2006)] that improves the description of the nonbonded interactions. GEM-0 relies on density fitting methodology to reproduce each contribution of the constrained space orbital variation (CSOV) energy decomposition scheme, by expanding the electronic density of the molecule in s-type Gaussian functions centered at specific sites. In the present contribution we extend the Coulomb and exchange components of the force field to auxiliary basis sets of arbitrary angular momentum. Since the basis functions with higher angular momentum have directionality, a reference molecular frame (local frame) formalism is employed for the rotation of the fitted expansion coefficients. In all cases the intermolecular interaction energies are calculated by means of Hermite Gaussian functions using the McMurchie-Davidson [J. Comput. Phys. 26, 218 (1978)] recursion to calculate all the required integrals. Furthermore, the use of Hermite Gaussian functions allows a point multipole decomposition determination at each expansion site. Additionally, the issue of computational speed is investigated by reciprocal space based formalisms which include the particle mesh Ewald (PME) and fast Fourier-Poisson (FFP) methods. Frozen-core (Coulomb and exchange-repulsion) intermolecular interaction results for ten stationary points on the water dimer potential-energy surface, as well as a one-dimensional surface scan for the canonical water dimer, formamide, stacked benzene, and benzene water dimers, are presented. All results show reasonable agreement with the corresponding CSOV calculated reference contributions, around 0.1 and 0.15 kcal/mol error for Coulomb and exchange, respectively. Timing results for single Coulomb energy-force calculations for (H(2)O)(n), n=64, 128, 256, 512, and 1024, in periodic boundary conditions with PME and FFP at two different rms force tolerances are also presented. For the small and intermediate auxiliaries, PME shows faster times than FFP at both accuracies and the advantage of PME widens at higher accuracy, while for the largest auxiliary, the opposite occurs.

Models, Chemical↗

PubMed2006

Towards accurate solvation dynamics of divalent cations in water using the polarizable amoeba force field: From energetics to structure.

Molecular dynamics simulations were performed using a modified amoeba force field to determine hydration and dynamical properties of the divalent cations Ca2+ and Mg2+. The extension of amoeba to divalent cations required the introduction of a cation specific parametrization. To accomplish this, the Thole polarization damping model parametrization was modified based on the ab initio polarization energy computed by a constrained space orbital variation energy decomposition scheme. Excellent agreement has been found with condensed phase experimental results using parameters derived from gas phase ab initio calculations. Additionally, we have observed that the coordination of the calcium cation is influenced by the size of the periodic water box, a recurrent issue in first principles molecular dynamics studies.

Amoeba↗

PubMed2006

Quantum mechanics/molecular mechanics electrostatic embedding with continuous and discrete functions.

A quantum mechanics/molecular mechanics (QM/MM) implementation that uses the Gaussian electrostatic model (GEM) as the MM force field is presented. GEM relies on the reproduction of electronic density by using auxiliary basis sets to calculate each component of the intermolecular interaction. This hybrid method has been used, along with a conventional QM/MM (point charges) method, to determine the polarization on the QM subsystem by the MM environment in QM/MM calculations on 10 individual H(2)O dimers and a Mg(2+)-H(2)O dimer. We observe that GEM gives the correct polarization response in cases when the MM fragment has a small charge, while the point charges produce significant over-polarization of the QM subsystem and in several cases present an opposite sign for the polarization contribution. In the case when a large charge is located in the MM subsystem, for example, the Mg(2+) ion, the opposite is observed at small distances. However, this is overcome by the use of a damped Hermite charge, which provides the correct polarization response.

Magnesium↗

PubMed2006

Towards a force field based on density fitting.

Total intermolecular interaction energies are determined with a first version of the Gaussian electrostatic model (GEM-0), a force field based on a density fitting approach using s-type Gaussian functions. The total interaction energy is computed in the spirit of the sum of interacting fragment ab initio (SIBFA) force field by separately evaluating each one of its components: electrostatic (Coulomb), exchange repulsion, polarization, and charge transfer intermolecular interaction energies, in order to reproduce reference constrained space orbital variation (CSOV) energy decomposition calculations at the B3LYP/aug-cc-pVTZ level. The use of an auxiliary basis set restricted to spherical Gaussian functions facilitates the rotation of the fitted densities of rigid fragments and enables a fast and accurate density fitting evaluation of Coulomb and exchange-repulsion energy, the latter using the overlap model introduced by Wheatley and Price [Mol. Phys. 69, 50718 (1990)]. The SIBFA energy scheme for polarization and charge transfer has been implemented using the electric fields and electrostatic potentials generated by the fitted densities. GEM-0 has been tested on ten stationary points of the water dimer potential energy surface and on three water clusters (n = 16,20,64). The results show very good agreement with density functional theory calculations, reproducing the individual CSOV energy contributions for a given interaction as well as the B3LYP total interaction energies with errors below kBT at room temperature. Preliminary results for Coulomb and exchange-repulsion energies of metal cation complexes and coupled cluster singles doubles electron densities are discussed.

Algorithms↗

PubMed2006

Theoretical and experimental determination on two substrates turned over by 4-oxalocrotonate tautomerase.

Quantum mechanical/molecular mechanical (QM/MM) calculations and experimental kinetic studies have been performed on 4-oxalocrotonate tautomerase (4OT) for two different substrates, 2-hydroxymuconate (2HM) and 2-oxo-4-hexenedioate (2o4hex). Potential (deltaE) and free energy (deltaG) paths for both steps of the reaction using both substrates were calculated to determine the free energy barriers and compared to the experimental values obtained from the kinetic studies via the transition state theory. In the first step, a proton from the hydroxyl oxygen on the second carbon of 2HM, or from the third carbon of 2o4hex, is abstracted by Pro-1. In the second step, the proton is transferred to the fifth carbon of the substrate to form the product, 2-oxo-3-hexenedioate (2o3hex). For both substrates we obtain a calculated deltaG of approximately 13 kcal/mol, in agreement with experimental determinations. The calculated free energy barrier difference deltaG2o4hex - deltaG2HM (deltadeltaG) is 0.87 kcal/mol. We obtained an experimental deltadeltaG of 0.85 kcal/mol. These results suggest that 2HM is turned over faster than 2o4hex by 4OT. However, these energy differences are so small that both 2HM and 2o4hex need to be taken into account in considering the mechanism of catalysis of 4OT.

Isomerases↗

PubMed2005

Intermolecular electrostatic energies using density fitting.

A method is presented to calculate the electron-electron and nuclear-electron intermolecular Coulomb interaction energy between two molecules by separately fitting the unperturbed molecular electron density of each monomer. This method is based on the variational Coulomb fitting method which relies on the expansion of the ab initio molecular electron density in site-centered auxiliary basis sets. By expanding the electron density of each monomer in this way the integral expressions for the intermolecular electrostatic calculations are simplified, lowering the operation count as well as the memory usage. Furthermore, this method allows the calculation of intermolecular Coulomb interactions with any level of theory from which a one-electron density matrix can be obtained. Our implementation is initially tested by calculating molecular properties with the density fitting method using three different auxiliary basis sets and comparing them to results obtained from ab initio calculations. These properties include dipoles for a series of molecules, as well as the molecular electrostatic potential and electric field for water. Subsequently, the intermolecular electrostatic energy is tested by calculating ten stationary points on the water dimer potential-energy surface. Results are presented for electron densities obtained at four different levels of theory using two different basis sets, fitted with three auxiliary basis sets. Additionally, a one-dimensional electrostatic energy surface scan is performed for four different systems (H2O dimer, Mg2+-H2O, Cu+-H2O, and n-methyl-formamide dimer). Our results show a very good agreement with ab initio calculations for all properties as well as interaction energies.

Computer Simulation↗

PubMed2005

Reaction path determination for quantum mechanical/molecular mechanical modeling of enzyme reactions by combining first order and second order "chain-of-replicas" methods.

A two-step procedure for the determination of reaction paths in enzyme systems is presented. This procedure combines two chain-of-states methods: a quantum mechanical/molecular mechanical (QM/MM) implementation of the nudged elastic band (NEB) method and a second order parallel path optimizer method both recently developed in our laboratory. In the first step, a reaction path determination is performed with the NEB method, along with a restrained minimization procedure for the MM environment to obtain a first approximation to the reaction path. In the second step, the calculated path is refined with the parallel path optimizer method. By combining these two methods the reaction paths are determined accurately, and in addition, the number of path optimization iterations are significantly reduced. This procedure is tested by calculating both steps of the isomerization of 2-oxo-4-hexenedioate by 4-oxalocrotonate tautomerase, which have been previously determined by our group. The calculated paths agree with the previously reported results and we obtain a reduction of 45%-55% in the number of path optimization cycles.

Binding Sites↗

PubMed2004

The protein backbone makes important contributions to 4-oxalocrotonate tautomerase enzyme catalysis: understanding from theory and experiment.

The role of polypeptide backbone interactions in 4-oxalocrotonate tautomerase (4OT) catalysis has been investigated using a combination of site-directed mutagenesis experiments with unnatural amino acids and quantum mechanical/molecular mechanical (QM/MM) calculations of the 4OT reaction mechanism. Energy barriers for the wild-type enzyme (wt-4OT) and for a 4OT analogue containing a backbone amide to ester bond mutation between Ile-7 and Leu-8 [(OL8)4OT] were determined by both theory and experiment. The amide to ester bond mutation in (OL8)4OT effectively deleted a putative hydrogen bonding interaction between the enzyme's polypeptide backbone and its substrate. Recent theoretical calculations for the 4OT reaction mechanism suggested that this hydrogen bonding interaction helps properly position the substrate in the active site [Cisneros, G. A., et al. (2003) J. Am. Chem. Soc. 125, 10384-10393]. Our experimental results for (OL8)4OT reveal that the energy barrier for the (OL8)4OT-catalyzed reaction was increased 1.8 kcal/mol over that of the wild-type enzyme. This increase was in good agreement with the 1.0 kcal/mol increase obtained from QM/MM calculations for this analogue. Our theoretical calculations further suggest the hydrogen bond deletion in (OL8)4OT results in a rearrangement of the substrate in the active site. In this rearrangement, an ordered water molecule loses its ability to stabilize the transition state (TS), and Arg-61 gains the ability to stabilize the TS. The predicted role of Arg-61 in (OL8)4OT catalysis was confirmed in kinetic experiments with an analogue of (OL8)4OT containing an Arg to Ala mutation at position 61.

Arginine↗

PubMed2003

Ab initio QM/MM study shows there is no general acid in the reaction catalyzed by 4-oxalocrotonate tautomerase.

The mechanism for the reaction catalyzed by the 4-oxalocrotonate tautomerase (4-OT) enzyme has been studied using a quantum mechanical/molecular mechanical (QM/MM) method developed in our laboratory. Total free energy barriers were obtained for the two steps involved in this reaction. In the first step, Pro-1 acts as a general base to abstract a proton from the third carbon of the substrate, 2-oxo-4-hexenedioate, creating a negative charge on the oxygen at C-2 of this substrate. In the second step, the same hydrogen abstracted by the N-terminal Pro-1 is shuttled back to the fifth carbon of the substrate to form the product, 2-oxo-3-hexenedioate. The calculated total free energy barriers are 14.54 and 16.45 kcal/mol for the first and second steps, respectively. Our calculations clearly show that there is no general acid in the reaction. Arg-39' ', which is hydrogen bonded to the carboxylate group of the substrate, and an ordered water, which moves closer to the site of the charge formed in the transition state and intermediate, play the main role in transition state/intermediate stabilization without acting as general acids in the reaction.

Acids↗