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Digital radiology using active matrix readout of amorphous selenium: theoretical analysis of detective quantum efficiency.

A flat-panel x-ray imaging detector using a layer of amorphous selenium (a-Se) for direct conversion of x rays (to charge) and an active matrix for self-scanned readout is being investigated for digital radiology. A theoretical analysis of the spatial frequency dependent detective quantum efficiency (DQE(f)) of the self-scanned a-Se detector is performed based on a model of signal and noise propagation in a cascaded imaging system. Because of the high intrinsic resolution of a-Se and the pixelated active matrix readout method, such detectors are inherently undersampled and aliasing is present. The presampling modulation transfer function (MTF) and aliased noise power spectrum (NPS) of the detector were used in the analysis of DQE(f). It is proven that the aliased NPS for the self-scanned a-Se detectors is white. Since the shape of DQE(f) is determined by the ratio of MTF squared and the NPS, the shape of DQE(f) follows the square of the presampling MTF of the detector as a result of the white NPS. The analysis also shows that DQE(0) is proportional to the pixel fill factor, i.e., the fraction of each pixel area used for image charge collection. The DQE analysis is applied to detector parameters for three x-ray imaging applications: mammography, chest radiography, and fluoroscopy. The effects of pixel fill factor, imaging geometry (i.e., incident angle of x rays), and various sources of electronic noise on the detector DQE(f) are discussed. Strategies for maximizing detector DQE for each x-ray imaging application are proposed.

Models, Theoretical↗

Pseudopotential generation.

Different classes of first-principle pseudopotentials are compared and various schemes for pseudopotential generation based on norm conservation are discussed in this paper. BHS (Bachelet, Hamann, and Schlüter)-scheme and V (Vanderbilt)-modifications are used to derive the KB (Kleinman and Bylander)-pseudopotentials and pseudo wave functions of bismuth. Quality test of pseudopotentials shows that no ghost states occur in the logarithmic derivatives of pseudo wave functions of Bismuth. The obtained bond length of bismuth dimer with this type of pseudopotentials is in good agreement with previous accurately calculated ab initio quantum chemical result.

Bismuth↗

Large-scale validation of a quantum mechanics based scoring function: predicting the binding affinity and the binding mode of a diverse set of protein-ligand complexes.

Computational methods to calculate binding affinity in protein-ligand interaction are of immense interest because of obvious practical applications in structure-based drug design. Scoring functions attempt to calculate the variation in binding affinity of ligands-inhibitors bound to protein targets at various levels of theory. In this study we use semiempirical quantum mechanics to design a scoring function that can calculate the electrostatic interactions and solvation free energy expected during complexation. This physically based approach has the ability to capture binding affinity trends in a diverse range of protein-ligand complexes. We also show the predictive power of this scoring function within protein targets and its ability to score ligand poses docked to a protein target. We also demonstrate the ability of this scoring function to discriminate between native and decoy poses and highlight the crucial role played by electrostatic interactions in molecular recognition. Finally we compare the performance of our scoring function with other available scoring functions in the literature.

HIV Protease↗

Quantum simulation of solution phase intramolecular electron transfer rates in betaine-30.

Mixed quantum-classical atomistic simulations have been carried out to investigate the mechanistic details of excited state intramolecular electron transfer in a betaine-30 molecule in acetonitrile. The key electronic degrees of freedom of the solute molecule are treated quantum mechanically using the semiempirical Pariser-Parr-Pople Hamiltonian, including the solvent influence on electronic structure. The intramolecular vibrational modes are also treated explicitly at a quantum level, with the remaining elements treated classically using empirical potentials. The electron-transfer rate, corresponding to S1 --> S0 relaxation, is evaluated via time-dependent perturbation theory with the explicit inclusion of the dynamics of solvation and intramolecular conformation. The calculations reveal that, while solvation dynamics is critical to the rate, the intramolecular torsional dynamics also plays an important role. The importance of the use of multiple high-frequency quantum modes is also discussed.

Betaine↗

The search for local native-like nucleation centers in the unfolded state of beta -sheet proteins.

An approach involving the systematic computational conformational analysis of all overlapping hexapeptide segments in the protein sequence has found fragments with the higher than average propensity to adopt the native-like three-dimensional structure and other regular nonrandom structures in the unfolded states of four beta-sheet proteins, namely IFABP (intestinal fatty acid-binding protein), ILBP (ileal fatty acid-binding protein), CRABP I (cellular retinoic acid-binding protein), and CRBP II (cellular retinal binding protein). The native three-dimensional structures of these four proteins are very similar even though they possess as little as approximately 30% sequence similarity. The computational results were validated by comparison with the experimental data of the heteronuclear sequential quantum correlation NMR spectroscopy obtained earlier for IFABP at high urea concentrations. On this basis, a molecular model of the unfolded state of IFABP has been developed. The model presumes a dynamic equilibrium between various nonrandom structures (including the native-like structure) and random coil in the local segments of the protein sequence. The model explains experimental observations obtained earlier for folding of several mutants of IFABP, as well as the observed differences in molecular mechanisms of folding for the four beta-sheet proteins. Because the computational approach itself does not employ any experimentally derived information in advance, it is not necessarily limited to the beta-sheet proteins.

Amino Acid Sequence↗

Quantum hydrodynamics: capturing a reactive scattering resonance.

The hydrodynamic equations of motion associated with the de Broglie-Bohm formulation of quantum mechanics are solved using a meshless method based upon a moving least-squares approach. An arbitrary Lagrangian-Eulerian frame of reference and a regridding algorithm which adds and deletes computational points are used to maintain a uniform and nearly constant interparticle spacing. The methodology also uses averaged fields to maintain unitary time evolution. The numerical instabilities associated with the formation of nodes in the reflected portion of the wave packet are avoided by adding artificial viscosity to the equations of motion. A new and more robust artificial viscosity algorithm is presented which gives accurate scattering results and is capable of capturing quantum resonances. The methodology is applied to a one-dimensional model chemical reaction that is known to exhibit a quantum resonance. The correlation function approach is used to compute the reactive scattering matrix, reaction probability, and time delay as a function of energy. Excellent agreement is obtained between the scattering results based upon the quantum hydrodynamic approach and those based upon standard quantum mechanics. This is the first clear demonstration of the ability of moving grid approaches to accurately and robustly reproduce resonance structures in a scattering system.

Journal Article↗

Computational engine for development of complex cascaded models of signal and noise in X-ray imaging systems.

The detective quantum efficiency (DQE) is generally accepted as the primary metric of signal-to-noise performance in medical X-ray imaging systems. Simple theoretical models of the Wiener noise power spectrum (NPS) and DQE can be developed using a cascaded-systems approach to assess particular system designs and establish operational benchmarks. However, the cascaded approach is often impractical for the development of comprehensive models due to the complexity and extremely large number of algebraic terms that must be manipulated to describe signal and noise transfer. We have developed a computational engine that overcomes this limitation. Using a predefined library of elementary physical processes, complex models are assembled and input-output relationships established using a graphical interface. A novel recursive algorithm is described that allows the signal and noise analyses of models with arbitrary complexity including the use of multiple parallel cascades. Symbolic mathematics is used to develop analytic expressions for the NPS and DQE. The algorithm is validated by manual calculation for simple models and by Monte Carlo calculation for complex models. We believe our approach enables the use of complex cascaded models to design better detectors with improved image quality.

Computer Simulation↗

Computational studies of enzyme mechanism: linking theory with experiment in the analysis of enzymic H-tunnelling.

Hydrogen transfer--an essential component of most biological reactions--is a quantum problem. A crucial question of great current interest is how enzymes modulate the quantum dynamics of hydrogen transfer to achieve their outstanding catalytic properties. That tunnelling occurs is now widely accepted, with the conceptual frameworks incorporating protein motion into the enzymic H-tunnelling process. Computational simulation can be used to help elucidate how enzymes work and facilitate H-tunnelling at the atomic level. We review the strength of a multidisciplinary approach--combining computational simulations with enzyme kinetics and structural biology--in revealing tunnelling mechanisms in enzymes. We focus on two paradigm systems--aromatic amine dehydrogenase, in which H-tunnelling is facilitated by fast (sub-picosecond) short range motions, and dihydrofolate reductase, in which a network of long-range coupled motions drives the tunnelling event.

Biophysics↗

Quantum descriptors for biological macromolecules from linear-scaling electronic structure methods.

The characterization of electrostatic and chemical properties at the surface of biological macromolecules is of interest in elucidating the fundamental biological structure-function relationships as well as in problems of rational drug design. This paper presents a set of macromolecular quantum descriptors for the characterization of biological macromolecules in solution that can be obtained with modest computational cost from linear-scaling semi-empirical quantum/solvation methods. The descriptors discussed include: solvent-polarized electrostatic surface potential maps, equilibrated atomic charges, Fukui reactivity indices, approximate local hardness maps, and relative proton potentials. These properties are applied to study the conformational dependence of the electrostatic surface potential of the solvated phosphate-binding protein mutant (T141D), the regioselectivity of the zinc finger domains of HIV-1 nucleocapsid (NC) protein, and the order of pKa values of acidic residues in turkey ovomucoid third domain (OMTKY3) and of the zinc-binding residues in the carboxyl terminal zinc finger of NC. In all cases, insight beyond that obtainable from purely classical models is gained and can be used to rationalize the experimental observations. The macromolecular quantum descriptors presented here greatly extend the arsenal of tools for macromolecular characterization and offer promise in applications to modern structure-based drug design.

Computational Biology↗

Prediction and rationalization of protein pKa values using QM and QM/MM methods.

We describe the development and application of a computational method for the prediction and rationalization of pKa values of ionizable residues in proteins, based on ab initio quantum mechanics (QM) and the effective fragment potential (EFPs) method (a hybrid QM/MM method). The theoretical developments include (1) a covalent boundary method based on frozen localized orbitals, (2) divide-and-conquer methods for the ab initio computation of protein EFPs consisting of multipoles up to octupoles and dipole polarizability tensors, (3) a method for computing vibrational free energies for a localized molecular region, and (4) solutions of the polarized continuum model of bulk solvation equations for protein-sized systems. The QM-based pKa prediction method is one of the most accurate methods currently available and can be used in cases where other pKa prediction methods fail. Preliminary analysis of the computed results indicate that many pKa values (1) are primarily determined by hydrogen bonds rather than long-range charge-charge interactions and (2) are relatively insensitive to large-scale dynamical fluctuations of the protein structure.

Algorithms↗

A new method for solving the quantum hydrodynamic equations of motion: application to two-dimensional reactive scattering.

The de Broglie-Bohm hydrodynamic equations of motion are solved using a meshless method based on a moving least squares approach and an arbitrary Lagrangian-Eulerian frame of reference. A regridding algorithm adds and deletes computational points as needed in order to maintain a uniform interparticle spacing, and unitary time evolution is obtained by propagating the wave packet using averaged fields. The numerical instabilities associated with the formation of nodes in the reflected portion of the wave packet are avoided by adding artificial viscosity to the equations of motion. The methodology is applied to a two-dimensional model collinear reaction with an activation barrier. Reaction probabilities are computed as a function of both time and energy, and are in excellent agreement with those based on the quantum trajectory method.

Journal Article↗

Interpreting nonlinear vibrational spectroscopy with the classical mechanical analogs of double-sided Feynman diagrams.

Observables in coherent, multiple-pulse infrared spectroscopy may be computed from a vibrational nonlinear response function. This response function is conventionally calculated quantum-mechanically, but the challenges in applying quantum mechanics to large, anharmonic systems motivate the examination of classical mechanical vibrational nonlinear response functions. We present an approximate formulation of the classical mechanical third-order vibrational response function for an anharmonic solute oscillator interacting with a harmonic solvent, which establishes a clear connection between classical and quantum mechanical treatments. This formalism permits the identification of the classical mechanical analog of the pure dephasing of a quantum mechanical degree of freedom, and suggests the construction of classical mechanical analogs of the double-sided Feynman diagrams of quantum mechanics, which are widely applied to nonlinear spectroscopy. Application of a rotating wave approximation permits the analytic extraction of signals obeying particular spatial phase matching conditions from a classical-mechanical response function. Calculations of the third-order response function for an anharmonic oscillator coupled to a harmonic solvent are compared to numerically correct classical mechanical results.

Computer Simulation↗

Computational enzymology.

Numerical simulations of enzyme reaction mechanisms are beginning to provide quantitative as well as qualitative insights. Methods based on hybrid quantum mechanical/molecular mechanical technique permit the natural inclusion of protein solvation effects. Coupled with modern experimental techniques, the numerical simulations are providing details at the atomic level about how enzyme structure influences its function.

Computer Simulation↗

Hydrophobic and ionic hydration phenomena.

Computer simulation offers an increasing opportunity to examine the details of solvation structure for well-defined solution models. One can characterize idealized models that exemplify specific aspects of solution behavior or those that realistically model systems experimentally difficult to access. As an example from the first category, results are presented for the aqueous solvation structure and solvent hydrogen bonding in the presence of a small apolar solute, and these are contrasted with the quite different behavior observed for a large apolar surface. As an example from the second category, structural results are presented for hydration of an excess electron in bulk water. These latter results, obtained via recent path integral simulation methods, manifest significant solvent structural disruption compared to the case of a simple ion, due to the irregular and fluctuating shape of the quantum solute.

Chemical Phenomena↗

Experimental and computational screening models for the prediction of intestinal drug absorption.

The aim of this study was to devise experimental protocols and computational models for the prediction of intestinal drug permeability. Both the required experimental and computational effort and the accuracy and quality of the resulting predictions were considered. In vitro intestinal Caco-2 cell monolayer permeabilities were determined both in a highly accurate experimental setting (Pc) and in a faster, but less accurate, mode (Papp). Computational models were built using four different principles for generation of molecular descriptors (atom counts, molecular mechanics calculations, fragmental, and quantum mechanics approaches) and were evaluated for their ability to predict intestinal membrane permeability. A theoretical deconvolution of the polar molecular surface area (PSA) was also performed to facilitate the interpretation of this composite descriptor and allow the calculation of PSA in a simplified and fast mode. The results indicate that it is possible to predict intestinal drug permeability from rather simple models with little or no loss of accuracy. A new, fast computational model, based on partitioned molecular surface areas, that predicts intestinal drug permeability with an accuracy comparable to that of time-consuming quantum mechanics calculations is presented.

Biological Transport↗