The physical stage of radiolysis of solvated DNA by high-energy-transfer particles: insights from new first principles simulations.

The primary processes that occur following direct irradiation of bio-macromolecules by ionizing radiation determine the multiscale responses that lead to biomolecular lesions. The so-called physical stage loosely describes processes of energy deposition and molecular ionization/excitation but remains largely elusive. We propose a new approach based on first principles density functional theory to simulate energy deposition in large and heterogeneous biomolecules by high-energy-transfer particles. Unlike traditional Monte Carlo approaches, our methodology does not rely on pre-parametrized sets of cross-sections, but captures excitation, ionization and low energy electron emission at the heart of complex biostructures. It furthermore gives access to valuable insights on ultrafast charge and hole dynamics on the femtosecond time scale. With this new tool, we reveal the mechanisms of ionization by swift ions in microscopic DNA models and solvated DNA comprising almost 750 atoms treated at the DFT level of description. We reveal a so-called ebb-and-flow ionization mechanism in which polarization of the irradiated moieties appears as a key feature. We also investigate where secondary electrons produced by irradiation localize on chemical moieties composing DNA. We compare irradiation of solvated DNA by light (H+, and He2+) vs. heavier (C6+) ions, highlighting the much higher probability of double ionization with the latter. Our methodology constitutes a stepping stone towards a greater understanding of the chemical stage and more generally towards the multiscale modelling of radiation damage in biology using first principles.

Molecular Simulations with in-deMon2k QM/MM, a Tutorial-Review.

deMon2k is a readily available program specialized in Density Functional Theory (DFT) simulations within the framework of Auxiliary DFT. This article is intended as a tutorial-review of the capabilities of the program for molecular simulations involving ground and excited electronic states. The program implements an additive QM/MM (quantum mechanics/molecular mechanics) module relying either on non-polarizable or polarizable force fields. QM/MM methodologies available in deMon2k include ground-state geometry optimizations, ground-state Born-Oppenheimer molecular dynamics simulations, Ehrenfest non-adiabatic molecular dynamics simulations, and attosecond electron dynamics. In addition several electric and magnetic properties can be computed with QM/MM. We review the framework implemented in the program, including the most recently implemented options (link atoms, implicit continuum for remote environments, metadynamics, etc.), together with six applicative examples. The applications involve (i) a reactivity study of a cyclic organic molecule in water; (ii) the establishment of free-energy profiles for nucleophilic-substitution reactions by the umbrella sampling method; (iii) the construction of two-dimensional free energy maps by metadynamics simulations; (iv) the simulation of UV-visible absorption spectra of a solvated chromophore molecule; (v) the simulation of a free energy profile for an electron transfer reaction within Marcus theory; and (vi) the simulation of fragmentation of a peptide after collision with a high-energy proton.

QM/MM calculations with deMon2k.

The density functional code deMon2k employs a fitted density throughout (Auxiliary Density Functional Theory), which offers a great speed advantage without sacrificing necessary accuracy. Powerful Quantum Mechanical/Molecular Mechanical (QM/MM) approaches are reviewed. Following an overview of the basic features of deMon2k that make it efficient while retaining accuracy, three QM/MM implementations are compared and contrasted. In the first, deMon2k is interfaced with the CHARMM MM code (CHARMM-deMon2k); in the second MM is coded directly within the deMon2k software; and in the third the Chemistry in Ruby (Cuby) wrapper is used to drive the calculations. Cuby is also used in the context of constrained-DFT/MM calculations. Each of these implementations is described briefly; pros and cons are discussed and a few recent applications are described briefly. Applications include solvated ions and biomolecules, polyglutamine peptides important in polyQ neurodegenerative diseases, copper monooxygenases and ultra-rapid electron transfer in cryptochromes.

Variational Density Fitting with a Krylov Subspace Method.

In this work, we present the implementation of a variational density fitting methodology that uses iterative linear algebra for solving the associated system of linear equations. It is well known that most difficulties with this system arise from the fact that the coefficient matrix is in general ill-conditioned and, due to finite precision round-off errors, it may not be positive definite. The dimensionality, given by the number of auxiliary functions, also poses a challenge in terms of memory and time demand since the coefficient matrix is dense. The methodology presented is based on a preconditioned Krylov subspace method able to deal with indefinite ill-conditioned equation systems. To assess its potential, it has been combined with double asymptotic electron repulsion integral expansions as implemented in the deMon2k package. A numerical study on a set of problems with up to 130,000 auxiliary functions shows its effectiveness to alleviate the abovementioned problematic. A comparison with the default methodology used in deMon2k based on a truncated eigenvalue decomposition of the coefficient matrix indicates that the proposed method exhibits excellent robustness and scalability when implemented in a parallel setting.

Quantum Chemical Topology of the Electron Localization Function in the Field of Attosecond Electron Dynamics.

We report original analyses of attosecond electron dynamics of molecules subject to collisions by high energy charged particles based on Real-Time Time-Dependent-Density-Functional-Theory simulations coupled to Topological Analyses of the Electron Localization Function (TA-TD-ELF). We investigate irradiation of water and guanine. TA-TD-ELF enables qualitative and quantitative characterizations of bond breaking and formation, of charge migration within topological basins, or of electron attachment to the colliding particle. Whereas the Lewis-VSEPR structure of gas phase water is blown out within a few attoseconds after collision, that of guanine is far more robust and reconstitutes rapidly after impact even though the molecule remains electronically excited. This difference is accounted by the presence of the electron bath surrounding the impact point which enables energy relaxation within the molecule. Our approach should stimulate future studies to unravel the early steps following irradiation of various types of systems (isolated molecules, biomolecules, nanoclusters, solids, etc.) and is also readily applicable to irradiation by photons of various energies.

Asymptotic Expansion for Electrostatic Embedding Integrals in QM/MM Calculations.

In QM/MM studies with large MM regions, the calculation of electrostatic embedding integrals can become a computational bottleneck. To overcome this problem, an asymptotic expansion for nuclear attraction-type integrals is developed. As a result, the long-range interactions between the QM and MM atoms reduce to atom-centered multipole moment-like expansions. The algorithm uses a natural spatial division of the molecular structure. To further improve the computational performance, a cutoff radius for the multipole moment-like expansion is introduced. The new code was validated and benchmarked with deMon2k/CHARMM QM/MM calculations on an RNA polymerase II model with almost 350 000 atoms. It is shown that the computational time for the calculation of the embedding integrals in this system can be reduced below 200 s on a small parallel architecture (eight cores) without a loss of accuracy.