Effect of the reflectional symmetry on the coherent hole transport across DNA hairpins

Four-channel model: An assessment of charge transfer via the backbone in B-DNA

We model charge transfer in B-DNA, the most common form of deoxyribonucleic acid, with the aim of assessing the role of the backbone. We achieve this by employing a four-channel tight binding model, where B-DNA is analyzed at the base and backbone sites level. The significant difference of our model, with other similar models that have appeared in the literature so far, is that we have calculated all tight binding on-site energies and interaction integrals using DFT; these are not roughly estimated or guessed. We study two kinds of sequences: homopolymers and randomly generated sequences. This enables us to effectively compare the relative ease of charge transfer through the backbone channels with that of the π pathway formed by the nucleobases' frontier molecular orbitals, since the latter is highly sensitive to sequence periodicity, as it determines the degree of energy uniformity across the base-pair sequence. Results are presented for the electronic structure, the localization of the energy eigenstates, and the ease of carrier transfer. Emphasis is given to results for holes, due to the inherent unreliability of DFT calculations for excited states. We demonstrate that the backbone could be essential for B-DNA charge transfer, provided limited backbone energy disorder.

Vibration spectra of DNA and RNA segments

The dispersion curves and density of states are used to analyze the vibrational characteristics of DNA and RNA segments. This is done using a harmonic Hamiltonian and the Green's function technique. Two configurations of DNA and RNA, finite and cyclic, have been investigated and compared to their infinite counterparts. For the DNA molecule, three models, including a fishbone model, a ldder model, and a fishbone ladder model, have been employed, while the RNA molecule has been represented using a half fishbone model. To enhance the realism of DNA and RNA simulations, the unit cells within each infinite system as well as the length of the finite and cyclic cases are gradually enlarged. The connections between the sub-sites have been modeled using linear springs, where the stiffness of the vertical springs exhibits random variations throughout the length of the DNA and RNA models. Shorter DNA and RNA segments exhibit additional peaks in their density of states, resulting in more bands in dispersion curves. This indicates that as the number of building blocks grows in these segments, their curves resemble those of infinite systems. These findings have practical implications for studying the vibration characteristics of similar macro-systems.

Tuning molecular fluctuation to boost the conductance in DNA based molecular wires

Inherent molecular fluctuations are known to have a significant influence on the charge transport properties of biomolecules like DNA, PNA and proteins. In this work, we show ways to control these fluctuations and further demonstrate their use to enhance the conductance of two widely studied molecular wires, namely dsDNA (DNA) and G4 Quadruplex (G4-Quad). We quantify the molecular fluctuation in terms of the root mean square deviation (RMSD) of the molecule. In the case of DNA, we use temperature to control the fluctuations, while in the case of G4-Quad the fluctuations are tuned by the ions inside the pore. The electronic coupling between the bases of dsDNA and G4-Quad, which measures the conductance of these molecular wires, shows a non-monotonic behaviour with the increase in fluctuation. We find values of fluctuation which give rise to maximum electronic coupling and hence high conductivity for both the cases. In the case of DNA, these optimal fluctuations (∼2.5 Å) are achieved at a temperature of 210 K, which gives rise to an electronic coupling of 0.135 eV between the DNA bases. The optimal fluctuations in G4-Quad are achieved (∼7 Å) in a 4 base pair long system with 2 Na⁺ ions inside the pore, giving rise to an electronic coupling of 0.09 eV.

Tight-Binding Modeling of Nucleic Acid Sequences: Interplay between Various Types of Order or Disorder and Charge Transport

This review is devoted to tight-binding (TB) modeling of nucleic acid sequences like DNA and RNA. It addresses how various types of order (periodic, quasiperiodic, fractal) or disorder (diagonal, non-diagonal, random, methylation et cetera) affect charge transport. We include an introduction to TB and a discussion of its various submodels [wire, ladder, extended ladder, fishbone (wire), fishbone ladder] and of the process of renormalization. We proceed to a discussion of aperiodicity, quasicrystals and the mathematics of aperiodic substitutional sequences: primitive substitutions, Perron–Frobenius eigenvalue, induced substitutions, and Pisot property. We discuss the energy structure of nucleic acid wires, the coupling to the leads, the transmission coefficients and the current–voltage curves. We also summarize efforts aiming to examine the potentiality to utilize the charge transport characteristics of nucleic acids as a tool to probe several diseases or disorders.