Modeling the backbone dynamics of reduced and oxidized solvated rat microsomal cytochrome b5

Fractional Extended Diffusion Theory to capture anomalous relaxation from biased/accelerated molecular simulations

Biased and accelerated molecular simulations (BAMS) are widely used tools to observe relevant molecular phenomena occurring on time scales inaccessible to standard molecular dynamics, but evaluation of the physical time scales involved in the processes is not directly possible from them. For this reason, the problem of recovering dynamics from such kinds of simulations is the object of very active research due to the relevant theoretical and practical implications of dynamics on the properties of both natural and synthetic molecular systems. In a recent paper [A. Rapallo et al., J. Comput. Chem. 42, 586-599 (2021)], it has been shown how the coupling of BAMS (which destroys the dynamics but allows to calculate average properties) with Extended Diffusion Theory (EDT) (which requires input appropriate equilibrium averages calculated over the BAMS trajectories) allows to effectively use the Smoluchowski equation to calculate the orientational time correlation function of the head-tail unit vector defined over a peptide in water solution. Orientational relaxation of this vector is the result of the coupling of internal molecular motions with overall molecular rotation, and it was very well described by correlation functions expressed in terms of weighted sums of suitable time-exponentially decaying functions, in agreement with a Brownian diffusive regime. However, situations occur where exponentially decaying functions are no longer appropriate to capture the actual dynamical behavior, which exhibits persistent long time correlations, compatible with the so called subdiffusive regimes. In this paper, a generalization of EDT will be given, exploiting a fractional Smoluchowski equation (FEDT) to capture the non-exponential character observed in the relaxation of intramolecular distances and molecular radius of gyration, whose dynamics depend on internal molecular motions only. The calculation methods, proper to EDT, are adapted to implement the generalization of the theory, and the resulting algorithm confirms FEDT as a tool of practical value in recovering dynamics from BAMS, to be used in general situations, involving both regular and anomalous diffusion regimes.

Mechanistic insights into the superoxide-cytochrome c reaction by lysine surface scanning

This study summarizes results which have been obtained by a mutational study of human cytochrome c. The protein can be used as a recognition element in analytical assays and biosensors for superoxide radicals since ferricytochrome c reacts with superoxide to form ferrocytochrome c and oxygen. Here lysine mutagenesis of the distal surface (i.e., of exposed residues around the Met80 axial ligand) of human cytochrome c was pursued to evaluate the effect of the surface charges on the reaction rate with the superoxide anion radical and on the redox properties of the heme protein. The latter feature is particularly relevant when the protein is immobilized on a negatively charged self-assembled monolayer on an electrode to be used as a biosensor. The observed effects of the mutations are rationalized through structural investigations based on solution NMR spectroscopy and computational analysis of the surface electrostatics. The results suggest the presence of a specific path that guides superoxide toward an efficient reaction site. Localized positive charges at the rim of the entry channel are effective in increasing the reaction rate, whereas diffused positive charges or charges far from this area are not effective or are even detrimental, resulting in a misguided approach of the anion to the protein surface.

Electron self-exchange of cytochrome c measured via13C detected protonless NMR

The use of protonless 13C′–13C′ EXSY (COCO-EXSY) is proposed here to measure electron self-exchange rates. The experiment is compared to the commonly employed 1H and 15N EXSY experiments using as a reference system human cytochrome c. In COCO-EXSY, the exchange peaks are stronger than in the other experiments with respect to the self peaks and their intensity is less dependent on the choice of the EXSY mixing time. The use of 13C directed detection may be essential for all those cases where T2 relaxation is detrimental, as in the case of proteins containing highly paramagnetic metal centers, or rotating slowly in solution, or where the amide signals are difficult to detect due to chemical or conformational exchange. The proposed experiment has a general applicability and can be used to monitor exchange phenomena different from electron self-exchange.

Hydrogen-bonded networks along and bifurcation of the E-pathway in quinol:fumarate reductase

The E-pathway of transmembrane proton transfer has been demonstrated previously to be essential for catalysis by the diheme-containing quinol:fumarate reductase (QFR) of Wolinella succinogenes. Two constituents of this pathway, Glu-C180 and heme b(D) ring C (b(D)-C-) propionate, have been validated experimentally. Here, we identify further constituents of the E-pathway by analysis of molecular dynamics simulations. The redox state of heme groups has a crucial effect on the connectivity patterns of mobile internal water molecules that can transiently support proton transfer from the b(D)-C-propionate to Glu-C180. The short H-bonding paths formed in the reduced states can lead to high proton conduction rates and thus provide a plausible explanation for the required opening of the E-pathway in reduced QFR. We found evidence that the b(D)-C-propionate group is the previously postulated branching point connecting proton transfer to the E-pathway from the quinol-oxidation site via interactions with the heme b(D) ligand His-C44. An essential functional role of His-C44 is supported experimentally by site-directed mutagenesis resulting in its replacement with Glu. Although the H44E variant enzyme retains both heme groups, it is unable to catalyze quinol oxidation. All results obtained are relevant to the QFR enzymes from the human pathogens Campylobacter jejuni and Helicobacter pylori.

Influence of heme post-translational modification and distal ligation on the backbone dynamics of a monomeric hemoglobin

The cyanobacterium Synechococcus sp. PCC 7002 uses a hemoglobin of the truncated lineage (GlbN) in the detoxification of reactive species generated in the assimilation of nitrate. In view of a sensing or enzymatic role, several states of GlbN are of interest with respect to its structure-activity relationship. Nuclear magnetic resonance spectroscopy was applied to compare the structure and backbone dynamics of six GlbN forms differing in their oxidation state [Fe(II) or Fe(III)], distal ligand to the iron (histidine, carbon monoxide, or cyanide), or heme post-translational modification (b heme or covalently attached heme). Structural properties were assessed with pseudocontact shift calculations. (15)N relaxation data were analyzed by reduced spectral density mapping (picosecond to nanosecond motions) and by inspection of elevated R(2) values (microsecond to millisecond motions). On the picosecond to nanosecond time scale, GlbN exhibited little flexibility and was unresponsive to the differences among the various forms. Regions of slightly higher mobility were the CE turn, the EF loop, and the H-H' kink. In contrast, fluctuations on the microsecond to millisecond time scale depended on the form. Cyanide binding to the ferric state did not enhance motions, whereas reduction to the ferrous bis-histidine state resulted in elevated R(2) values for several amides. This response was attributed, at least in part, to a weakening of the distal histidine coordination. Carbon monoxide binding quenched some of these fluctuations. The results emphasized the role of the distal ligand in dictating backbone flexibility and illustrated the multiple ways in which motions are controlled by the hemoglobin fold.

A theory of protein dynamics to predict NMR relaxation

We present a theoretical, site-specific, approach to predict protein subunit correlation times, as measured by NMR experiments of (1)H-(15)N nuclear Overhauser effect, spin-lattice relaxation, and spin-spin relaxation. Molecular dynamics simulations are input to our equation of motion for protein dynamics, which is solved analytically to produce the eigenvalues and the eigenvectors that specify the NMR parameters. We directly compare our theoretical predictions to experiments and to simulation data for the signal transduction chemotaxis protein Y (CheY), which regulates the swimming response of motile bacteria. Our theoretical results are in good agreement with both simulations and experiments, without recourse to adjustable parameters. The theory is general, since it allows calculations of any dynamical property of interest. As an example, we present theoretical calculations of NMR order parameters and x-ray Debye-Waller temperature factors; both quantities show good agreement with experimental data.

Molecular statistics of cytochrome c: structural plasticity and molecular environment

Nuclear magnetic resonance experiments performed on yeast mitochondrial cytochrome c (Cytc), a paradigmatic electron transfer protein, reveal that the two oxidation states have similar structures, but different mobility: despite the few structural differences compared with the reduced form, the oxidized form displays a larger unfolding propensity. Molecular dynamics simulations performed on both NMR reduced and NMR oxidized forms show that the reduced form has a larger solvent-accessible surface area (SASA). Starting from this observation, a molecular statistical approach was then applied in order to correlate the molecular surface to molecular mobility. Simulations started from biased initial conditions corresponding to different molecular sizes were combined with the maximal constrained entropy method. The NMR structure of oxidized Cytc is more suited to expose a smaller SASA than the NMR structure of the reduced form, but the accessible conformational landscape at 300 K around the NMR oxidized structure is flatter than for the NMR reduced structure. Protein configurations of smaller SASA and size display larger plasticity when they resemble the NMR oxidized structure, whereas they are more rigid when they resemble the NMR reduced structure. Implications of the results for the protein properties during its functional process are discussed.