Quantum Mechanical/Molecular Mechanical Investigation of the Mechanism of C−H Hydroxylation of Camphor by Cytochrome P450cam: Theory Supports a Two-State Rebound Mechanism

QM/MM study of the active species of the human cytochrome P450 3A4, and the influence thereof of the multiple substrate binding

Cytochrome P450 3A4 is involved in the metabolism of 50% of all swallowed drugs. The enzyme functions by means of a high-valent iron-oxo species, called compound I (Cpd I), which is formed after entrance of the substrate to the active site. We explored the features of Cpd I using hybrid quantum mechanical/molecular mechanical calculations on various models that are either substrate-free or containing one and two molecules of diazepam as a substrate. Mössbauer parameters of Cpd I were computed. Our major finding shows that without the substrate, Cpd I tends to elongate its Fe-S bond, localize the radical on the sulfur, and form hydrogen bonds with A305 and T309, which may hypothetically lead to Cpd I consumption by H-abstraction. However, the positioning of diazepam close to Cpd I, as enforced by the effector molecule, was found to strengthen the NH...S interactions of the conserved I443 and G444 residues with the proximal cysteinate ligand. These interactions are known to stabilize the Fe-S bond, and as such, the presence of the substrate leads to a shorter Fe-S bond and it prevents the localization of the radical on the sulfur. This diazepam-Cpd I stabilization was manifested in the 1W0E conformer. The effector substrate did not influence Cpd I directly but rather by positioning the active substrate close to Cpd I, thus displacing the hydrogen bonds with A305 and T309, and thereby giving preference to substrate oxidation. It is hypothesized that these effects on Cpd I, promoted by the restrained substrate, may be behind the special metabolic behavior observed in cases of multiple substrate binding (also called cooperative binding). This restraint constitutes a mechanism whereby substrates stabilize Cpd I sufficiently long to affect monooxygenation by P450s at the expense of Cpd I destruction by the protein residues.

Combined QM/MM calculations of active-site vibrations in binding process of P450cam to putidaredoxin

Combined QM/MM calculations of the active-site of cytochrome P450cam have been performed before and after the binding of P450cam to putidaredoxin. The calculations were carried out for both a 5-coordinated and a 6-coordinated active-site of cytochrome P450cam, with either a water molecule or a carbon monoxide molecule as a 6th distal ligand. An experimentally observed increase in the Fe-S stretching frequency that occurs after cytochrome P450cam binds to putidaredoxin, has been reproduced in our study. Experimentally observed changes in the Fe-C and C-O vibration frequencies that occur after binding of both proteins, have also been reproduced in our study. The computed increase of the Fe-S and Fe-C stretching frequencies is correlated with a corresponding decrease of the Fe-S and Fe-C interatomic distances. According to our calculations, for the active-site with carbon monoxide in the triplet electronic state, the binding process increases the spin densities on the iron and sulfur atoms, which changes the Fe-C and C-O stretching frequencies in opposite directions, in agreement with experimental data.

QM/MM modeling of compound I active species in cytochrome P450, cytochrome C peroxidase, and ascorbate peroxidase

QM/MM calculations provide a means for predicting the electronic structure of the metal center in metalloproteins. Two heme peroxidases, Cytochrome c Peroxidase (CcP) and Ascorbate Peroxidase (APX), have a structurally very similar active site, yet have active intermediates with very different electronic structures. We review our recent QM/MM calculations on these systems, and present new computational data. Our results are in good agreement with experiment, and suggest that the difference in electronic structure is due to a large number of small differences in structure from one protein to another. We also discuss recent QM/MM calculations on the active species of cytochrome P450, in which a similar sensitivity of the electronic structure to the environment is found. However, this does not appear to explain different catalytic profiles of the different drug-metabolizing isoforms of this class of enzyme.

Systematic QM/MM investigation of factors that affect the cytochrome P450-catalyzed hydrogen abstraction of camphor

The hydrogen abstraction reaction of camphor in cytochrome P450(cam) has been investigated in the native enzyme environment by combined quantum mechanical/molecular mechanical (QM/MM) calculations and in the gas phase by density functional calculations. This work has been motivated by contradictory published QM/MM results. In an attempt to pinpoint the origin of these discrepancies, we have systematically studied the factors that may affect the computed barriers, including the QM/MM setup, the optimization procedures, and the choice of QM region, basis set, and protonation states. It is found that the ChemShell and QSite programs used in the published QM/MM calculations yield similar results at given geometries, and that the discrepancies mainly arise from two technical issues (optimization protocols and initial system preparation) that need to be well controlled in QM/MM work. In the course of these systematic investigations, new mechanistic insights have been gained. The crystallographic water 903 placed near the oxo atom of Compound I lowers the hydrogen abstraction barrier by ca. 4 kcal/mol, and thus acts as a catalyst for this reaction. Spin density may appear at the A-propionate side chain of the heme if the carboxylate group is not properly screened, which might be expected to happen during protein dynamics, but not in static equilibrium situations. There is no clear correlation between the computed A-propionate spin density and the hydrogen abstraction barrier, and hence, no support for a previously proposed side-chain mediated transition state stabilization mechanism. Standard QM/MM optimizations yield an A-propionate environment close to the X-ray structure only for protonated Asp297, and not for deprotonated Asp297, but the computed barriers are similar in both cases. An X-ray like A-propionate environment can also be obtained when deprotonated Asp297 is included in the QM region and His355 is singly protonated, but this Compound II-type species with a closed-shell porphyrin ring has a higher hydrogen abstraction barrier and should thus not be mechanistically relevant.

NR Transfer Reactivity of Azo-Compound I of P450. How Does the Nitrogen Substituent Tune the Reactivity of the Species toward CH and CC Activation?

We studied electronic structures and reactivity patterns of azo-compound I species (RN-Cpd I) by comparison to O-Cpd I of, e.g., cytochrome P450. The study shows that the RN-Cpd I species are capable of C=C aziridination and C-H amidation, in a two-state mechanism similar to that of O-Cpd I. However, unlike O-Cpd I, here the nitrogen substituent (R) exerts a major impact on structure and reactivity. Thus, it is demonstrated that Fe=NR bonds of RN-Cpd I will generally be substantially longer than Fe=O bonds; electron-withdrawing R groups will generate a very long Fe=N bond, whereas electron-releasing R groups should have the opposite effect and hence a shorter Fe=N bond. The R substituent controls also the reactivity of RN-Cpd I toward C=C and C-H bonds by exerting steric and electronic effects. Our analysis shows that an electron-releasing substituent will lower the barriers for both bond activation reactions, since the electronic factor makes the reactions highly exothermic, while an electron-withdrawing one should raise both barriers. The steric bulk of the substituent is predicted to inhibit more strongly the aziridination reactions. It is predicted that electron-releasing substituents with small bulk will create powerful aziridination reagents, whereas electron-withdrawing substituents like MeSO(2) will prefer C-H bond activation with preference that increases with steric bulk. Finally, the study predicts (i) that the reactions of RN-Cpd I will be less stereospecific than those of O-Cpd I and (ii) that aziridination will be more stereoselective than amidation.

Systematic study on the mechanism of aldehyde oxidation to carboxylic acid by cytochrome P450

The mechanism of aldehyde to carboxylic acid conversion catalyzed by P450 enzymes via a series of reactions was studied systematically for the first time with density functional theory calculations. A two-state reactivity mechanism has been proposed, which can be adopted for many aldehyde oxidation reactions catalyzed by P450 enzymes. The mechanism involves initial hydrogen abstraction as the rate-limiting step and this is followed by steps of oxygen rebound without barriers owing to the quick recombination of the resultant radical species. Meanwhile, in an attempt to explore whether there exist some rules for the hydroxylation of aldehyde substrates by P450, the transition state barriers of the rate-limiting step for a series of aldehyde hydroxylation reactions have been compared. A predictive pattern of extended barrier/bond energy correlation for different hydroxylations of aldehyde substrates by P450 has been established, which was further confirmed to be a reliable reactivity scale by experimental results.

Redistributed charge and dipole schemes for combined quantum mechanical and molecular mechanical calculations

Special care is needed in carrying out combined quantum mechanical and molecular mechanical (QM/MM) calculations if the QM/MM boundary passes through a covalent bond. The present paper discusses the importance of correctly handling the MM partial point charges at the QM/MM boundary, and in particular, it contributes in two aspects: (1) Two schemes, namely, the redistributed charge (RC) scheme and the redistributed charge and dipole (RCD) scheme, are introduced to handle link atoms in QM/MM calculations. In both schemes, the point charge at the MM boundary atom that is replaced by the link atom is redistributed to the midpoint of the bonds that connect the MM boundary atom and its neighboring MM atoms. These redistributed charges serve as classical mimics for the auxiliary orbitals associated with the MM host atom in the generalized hybrid orbital (GHO) method. In the RCD scheme, the dipoles of these bonds are preserved by further adjustment of the values of the redistributed charges. The treatments are justified as classical analogues of the QM description given by the GHO method. (2) The new methods are compared quantitatively to similar methods that were suggested by previous work, namely, a shifted-charge scheme and three eliminated-charge schemes. The comparisons were carried out for a series of molecules in terms of proton affinities and geometries. Point charges derived from various charge models were tested. The results demonstrate that it is critical to preserve charge and bond dipole and that it is important to use accurate MM point charges in QM/MM boundary treatments. The RCD scheme was further applied to study the H atom transfer reaction CH3 + CH3CH2CH2OH --> CH4 + CH2CH2CH2OH. Various QM levels of theory were tested to demonstrate the generality of the methodology. It is encouraging to find that the QM/MM calculations obtained a reaction energy, barrier height, saddle-point geometry, and imaginary frequency at the saddle point in quite good agreement with full QM calculations at the same level. Furthermore, analysis based on energy decomposition revealed the quantitatively similar interaction energies between the QM and the MM subsystems for the reactant, for the saddle point, and for the product. These interaction energies almost cancel each other energetically, resulting in negligibly small net effects on the reaction energy and barrier height. However, the charge distribution of the QM atoms is greatly affected by the polarization effect of the MM point charges. The QM/MM charge distribution agrees much better with full QM results than does the unpolarized charge distribution of the capped primary subsystem.

What is the Active Species of Cytochrome P450 during Camphor Hydroxylation? QM/MM Studies of Different Electronic States of Compound I and of Reduced and Oxidized Iron−Oxo Intermediates

We have investigated C-H hydroxylation of camphor by Compound I (Cpd I) of cytochrome P450cam in different electronic states and by its one-electron reduced and oxidized forms, using QM/MM calculations in the native protein/solvent environment. Cpd I species with five unpaired electrons (pentaradicaloids) are ca. 12 kcal/mol higher in energy than the ground state Cpd I species with three unpaired electrons (triradicaloids). The H-abstraction transition states of pentaradicaloids lie ca. 21 (9) kcal/mol above the triradicaloid (pentaradicaloid) reactants. Hydroxylation via pentaradicaloids is thus facile provided that they can react before relaxing to the ground-state triradicaloids. Excited states of Cpd I with an Fe(V)-oxo moiety lie more than 20 kcal/mol above the triradicaloid ground state in single-point gas-phase calculations, but these electronic configurations are not stable upon including the point-charge protein environment which causes SCF convergence to the triradicaloid ground state. One-electron reduced species (Cpd II) show sluggish reactivity compared with Cpd I in agreement with experimental model studies. One-electron oxidized species are more reactive than Cpd I but seem too high in energy to be accessible. The barriers to hydrogen abstraction for the various forms of Cpd I are generally not affected much by the chosen protonation states of the Asp297 and His355 residues near the propionate side chains of the heme or by the appearance of radical character at Asp297, His355, or the propionates.

Theoretical study of N-demethylation of substituted N,N-dimethylanilines by cytochrome P450: the mechanistic significance of kinetic isotope effect profiles

The mechanism of N-demethylation of N,N-dimethylanilines (DMAs) by cytochrome P450, a highly debated topic in mechanistic bioinorganic chemistry (Karki, S. B.; Dinnocenczo, J. P.; Jones, J. P.; Korzekwa, K. R. J. Am. Chem. Soc. 1995, 117, 3657), is studied here using DFT calculations of the reactions of the active species of the enzyme, Compound I (Cpd I), with four para-(H, Cl, CN, NO2) substituted DMAs. The calculations resolve mechanistic controversies, offer a consistent mechanistic view, and reveal the following features: (a) the reaction pathways involve C-H hydroxylation by Cpd I followed by a nonenzymatic carbinolamine decomposition. (b) C-H hydroxylation is initiated by a hydrogen atom transfer (HAT) step that possesses a "polar" character. As such, the HAT energy barriers correlate with the energy level of the HOMO of the DMAs. (c) The series exhibits a switch from spin-selective reactivity for DMA and p-Cl-DMA to two-state reactivity, with low- and high-spin states, for p-CN-DMA and p-NO2-DMA. (d) The computed kinetic isotope effect profiles (KIEPs) for these scenarios match the experimentally determined KIEPs. Theory further shows that the KIEs and TS structures vary in a manner predicted by the Melander-Westheimer postulate: as the substituent becomes more electron withdrawing, the TS is shifted to a later position along the H-transfer coordinate and the corresponding KIEs increases. (e) The generated carbinolaniline can readily dissociate from the heme and decomposes in a nonenzymatic environment, which involves water assisted proton shift.

Electronic structure and reactivity of isomeric oxo-Mn(V) porphyrins: effects of spin-state crossing and pKa modulation

The reactivity of the isomeric oxo-Mn(V)-2-tetra-N-methylpyridyl (2-TMPyP) and oxo-Mn(V)-4-tetra-N-methylpyridyl (4-TMPyP) porphyrins has been investigated by a combined experimental and theoretical approach based on density functional theory. The unusual higher reactivity of the more electron-rich 4-TMPyP species appears to be related to both the higher basicity of its oxo ligand, compared to that of the 2-TMPyP isomer, and the smaller low-spin-high-spin promotion energy of 4-TMPyP, compared to that of 2-TMPyP, because of the stabilization of the A2u orbital in the latter isomer. Therefore, in a two-state energy profile involving crossing of the initial singlet and final quintet potential energy surfaces, the 4-TMPyP isomer should be kinetically favored. The calculated differences in the singlet-quintet gaps for the 2-TMPyP and 4-TMPyP systems compare well with the measured differences in the activation energies for two isomeric porphyrins. Both effects, proton affinity and electron-promotion energy, contribute to reduce the reactivity of the more electrophilic oxidant when electron-withdrawing groups are closer to the active site, contrary to the usual expectations based on simple chemical reactivity correlations. These theoretical results are in accord with new experimental data showing O=Mn(V)-O-H pK(a)s of 7.5 and 8.6 for the isomeric 2-TMPyP and 4-TMPyP systems, respectively.

Proton assisted oxygen-oxygen bond splitting in cytochrome p450

Proton assisted O-O bond splitting of cytochromes' P450 hydroperoxo Compound 0 has been investigated by density functional theory, showing a barrier for the slightly endothermic formation of the iron-oxo Compound I. The barrier and the endothermicity increase with decreasing acidity of the distal proton source. Protonation of the proximal iron heme ligand favors the O-O bond scission and provides an important regulatory component in the catalytic cycle. The Compound 0 --> I conversion is slightly exothermic for the peroxidase and catalase models. Implications of the energetic relationship between the two reactive intermediates are discussed in terms of possible oxidative pathways.

Crystal-to-Crystal Oxidative Deprotonation of a Di(μ-hydroxo) to a Di(μ-oxo) Dimer of Dimolybdenum Units

A crystal-to-crystal transformation of (DAniF)3Mo2(micro-OH)2Mo2(DAniF)3 (1) to (DAniF)3Mo2(micro-O)2Mo2(DAniF)3 (2), where DAniF is the anion (p-anisyl)NC(H)N(p-anisyl), by dioxygen provides rare insight into the deprotonation process effected by dioxygen. In this dimolybdenum system, the conversion occurs without significant loss of crystallinity. Although no intermediates have been directly observed, a compound containing the [(DAniF)3Mo2(micro-OH)(micro-O)Mo2(DAniF)3]+ cation, a proposed intermediate, has been obtained independently. Possible pathways for the overall conversion of 1 to 2 are discussed.

Combining substrate dynamics, binding statistics, and energy barriers to rationalize regioselective hydroxylation of octane and lauric acid by CYP102A1 and mutants

Hydroxylations of octane and lauric acid by Cytochrome P450-BM3 (CYP102A1) wild-type and three active site mutants--F87A, L188Q/A74G, and F87V/L188Q/A74G--were rationalized using a combination of substrate orientation from docking, substrate binding statistics from molecular dynamics simulations, and barrier energies for hydrogen atom abstraction from quantum mechanical calculations. Wild-type BM3 typically hydroxylates medium- to long-chain fatty acids on subterminal (omega-1, omega-2, omega-3) but not the terminal (omega) positions. The known carboxylic anchoring site Y51/R47 for lauric acid, and hydrophobic interactions and steric exclusion, mainly by F87, for octane as well as lauric acid, play a role in the binding modes of the substrates. Electrostatic interactions between the protein and the substrate strongly modulate the substrate's regiodependent activation barriers. A combination of the binding statistics and the activation barriers of hydrogen-atom abstraction in the substrates is proposed to determine the product formation. Trends observed in experimental product formation for octane and lauric acid by wild-type BM3 and the three active site mutants were qualitatively explained. It is concluded that the combination of substrate binding statistics and hydrogen-atom abstraction barrier energies is a valuable tool to rationalize substrate binding and product formation and constitutes an important step toward prediction of product ratios.

QM/MM studies of enzymes

Combined quantum-mechanics/molecular-mechanics (QM/MM) methods are making rapid progress both methodologically and with respect to their range of application. Mechanistic studies on enzymes, including contributions towards the understanding of enzyme catalysis, continue to be a major target. They are joined by calculations of pK(a) values, redox properties, ground- and excited-state spectroscopic parameters, and excited-state dynamics. Methodological advances include improved QM/MM schemes, in particular new approaches for an effective treatment of the QM-MM electrostatic interactions, and the incorporation of new efficient and accurate QM methods in QM/MM schemes.

Oxidative properties of FeO2+: electronic structure and solvation effects

An electronic structure analysis is provided of the action of solvated FeO(2+), [FeO(H(2)O)(5)](2+), as a hydroxylation catalyst. It is emphasized that the oxo end of FeO(2+) does not form hydrogen bonds (as electron donor and H-bond acceptor) with H-bond donors nor with aliphatic C-H bonds, but it activates C-H bonds as an electron acceptor. It is extremely electrophilic, to the extent that it can activate even such poor electron donors as aliphatic C-H bonds, the C-H bond orbital acting as electron donor in a charge transfer type of interaction. Lower lying O-H bonding orbitals are less easily activated. The primary electron accepting orbital in a water environment is the 3sigma*alpha orbital, an antibonding combination of Fe-3d(z(2)) and O-2p(z), which is very low-lying relative to the pi*alpha compared with, for example, the sigma* orbital in O(2) relative to its pi*. This is ascribed to relatively small Fe-3d(z(2)) with O-2p(z) overlap, due to the nodal structure of the 3d(z(2)).The H-abstraction barrier is very low in the gas phase, but it is considerably enhanced in water solvent. This is shown to be due to strong screening effects of the dielectric medium, leading to relative destabilization of the levels of the charged [FeO(H(2)O)(5)](2+) species compared to those of the neutral substrate molecules, making it a less effective electron acceptor. The solvent directly affects the orbital interactions responsible for the catalytic reaction.

Common system setup for the entire catalytic cycle of cytochrome P450cam in quantum mechanical/molecular mechanical studies

We describe a system setup that is applicable to all species in the catalytic cycle of cytochrome P450(cam). The chosen procedure starts from the X-ray coordinates of the ferrous dioxygen complex and follows a protocol that includes the careful assignment of protonation states, comparison between different conceivable hydration schemes, and system preparation through a series of classical minimizations and molecular dynamics (MD) simulations. The resulting setup was validated by quantum mechanical/molecular mechanical (QM/MM) calculations on the resting state, the pentacoordinated ferric and ferrous complexes, Compound I, the transition state and hydroxo intermediate of the C--H hydroxylation reaction, and the product complex. The present QM/MM results are generally consistent with those obtained previously with individual setups. Concerning hydration, we find that saturating the protein interior with water is detrimental and leads to higher structural flexibility and catalytically inefficient active-site geometries. The MD simulations favor a low water density around Asp251 that facilitates side chain rotation of protonated Asp251 during the conversion of Compound 0 to Compound I. The QM/MM results for the two preferred hydration schemes (labeled SE-1 and SE-4) are similar, indicating that slight differences in the solvation close to the active site are not critical as long as camphor and the crystallographic water molecules preserve their positions in the experimental X-ray structures.

Benchmarking approximate density functional theory for s/d excitation energies in 3d transition metal cations

Holthausen has recently provided a comprehensive study of density functional theory for calculating the s/d excitation energies of the 3d transition metal cations. This study did not include the effects of scalar relativistic effects, and we show here that the inclusion of scalar relativistic effects significantly alters the conclusions of the study. We find, contrary to the previous study, that local functionals are more accurate for the excitation energies of 3d transition method cations than hybrid functionals. The most accurate functionals, of the 38 tested, are SLYP, PBE, BP86, PBELYP, and PW91.

On the identity and reactivity patterns of the “second oxidant” of the T252A mutant of cytochrome P450cam in the oxidation of 5-methylenenylcamphor

Density functional calculations show that in the absence of Compound I, the primary oxidant species of P450, the precursor species, Compound 0 (FeOOH), can effect double bond activation of 5-methylenylcamphor (1). The mechanism is initiated by homolytic cleavage of the O-O bond and formation of an OH radical bound to the Compound II species by hydrogen bonding interactions. Subsequently, the so-formed OH radical can either activate the double bond of 1 or attack the meso position of the heme en route to heme degradation. The calculations show that double bond activation is preferred over attack on the heme. Past the double bond activation, the intermediate can either lead to epoxidation or to a glycol formation. The glycol formation is predicted to be preferred, although in the P450(cam) pocket the competition may be closer. Therefore, in the absence of Compound I, Compound 0 will be capable of epoxidizing double bonds. Previous studies [E. Derat, D. Kumar, H. Hirao, S. Shaik, J. Am. Chem. Soc. 128 (2006) 473-484] showed that in the case of a substrate that can undergo only C-H activation, the bound OH prefers heme degradation over hydrogen abstraction. Since the epoxidation barrier for Compound I is much smaller than that of Compound 0 (12.8 vs. 18.9kcal/mol), when Compound I is present in the cycle, Compound 0 will be silent. As such, our mechanism explains lucidly why T252A P450(cam) can epoxidize olefins like 5-methylenylcamphor but is ineffective in camphor hydroxylation [S. Jin, T.M. Makris, T. A. Bryson, S.G. Sligar, J.H. Dawson, J. Am. Chem. Soc. 125 (2003) 3406-3407]. Our calculations show that the glycol formation is a marker reaction of Compound 0 with 5-methylenylcamphor. If this product can be found in T252A P450(cam) or in similar mutants of other P450 isozymes, this will constitute a more definitive proof for the action of Cpd 0 in P450 enzymes.

Mechanisms of reaction in cytochrome P450: Hydroxylation of camphor in P450cam

The fundamental nature of reactivity in cytochrome P450 enzymes is currently controversial. Modelling of bacterial P450cam has suggested an important role for the haem propionates in the catalysis, though this finding has been questioned. Understanding the mechanisms of this enzyme family is important both in terms of basic biochemistry and potentially in the prediction of drug metabolism. We have modelled the hydroxylation of camphor by P450cam, using combined quantum mechanics/molecular mechanics (QM/MM) methods. A set of reaction pathways in the enzyme was determined. We were able to pinpoint the source of the discrepancies in the previous results. We show that when a correct ionization state is assigned to Asp297, no spin density appears on the haem propionates and the protein structure in this region remains preserved. These results indicate that the haem propionates are not involved in catalysis.

The Catalytic Mechanism of Peptidylglycine α-Hydroxylating Monooxygenase Investigated by Computer Simulation

The molecular basis of the hydroxylation reaction of the Calpha of a C-terminal glycine catalyzed by peptidylglycine alpha-hydroxylating monooxygenase (PHM) was investigated using hybrid quantum-classical (QM-MM) computational techniques. We have identified the most reactive oxygenated species and presented new insights into the hydrogen abstraction (H-abstraction) mechanism operative in PHM. Our results suggest that O(2) binds to Cu(B) to generate Cu(B)(II)-O(2)(.-) followed by electron transfer (ET) from Cu(A) to form Cu(B)(I)-O(2)(.-). The computed potential energy profiles for the H-abstraction reaction for Cu(B)(II)-O(2)(.-), Cu(B)(I)-O(2)(.-), and [Cu(B)(II)-OOH](+) species indicate that none of these species can be responsible for abstraction. However, the latter species can spontaneously form [Cu(B)O](+2) (which consists of a two-unpaired-electrons [Cu(B)O](+) moiety ferromagnetically coupled with a radical cation located over the three Cu(B) ligands, in the quartet spin ground state) by abstracting a proton from the surrounding solvent. Both this monooxygenated species and the one obtained by reduction with ascorbate, [Cu(B)O](+), were found to be capable of carrying out the H-abstraction; however, whereas the former abstracts the hydrogen atom concertedly with almost no activation energy, the later forms an intermediate that continues the reaction by a rebinding step. We propose that the active species in H-abstraction in PHM is probably [Cu(B)O](+2) because it is formed exothermically and can concertedly abstract the substrate HA atom with the lower overall activation energy. Interestingly, this species resembles the active oxidant in cytochrome P450 enzymes, Compound I, suggesting that both PHM and cytochrome P450 enzymes may carry out substrate hydroxylation by using a similar mechanism.

Electrostatic environment of hemes in proteins: pK(a)s of hydroxyl ligands

The pK(a)s of ferric aquo-heme and aquo-heme electrochemical midpoints (E(m)s) at pH 7 in sperm whale myoglobin, Aplysia myoblogin, hemoglobin I, heme oxygenase 1, horseradish peroxidase and cytochrome c oxidase were calculated with Multi-Conformation Continuum Electrostatics (MCCE). The pK(a)s span 3.3 pH units from 7.6 in heme oxygenase 1 to 10.9 in peroxidase, and the E(m)s range from -250 mV in peroxidase to 125 mV in Aplysia myoglobin. Proteins with higher in situ ferric aquo-heme pK(a)s tend to have lower E(m)s. Both changes arise from the protein stabilizing a positively charged heme. However, compared with values in solution, the protein shifts the aquo-heme E(m)s more than the pK(a)s. Thus, the protein has a larger effective dielectric constant for the protonation reaction, showing that electron and proton transfers are coupled to different conformational changes that are captured in the MCCE analysis. The calculations reveal a breakdown in the classical continuum electrostatic analysis of pairwise interactions. Comparisons with DFT calculations show that Coulomb's law overestimates the large unfavorable interactions between the ferric water-heme and positively charged groups facing the heme plane by as much as 60%. If interactions with Cu(B) in cytochrome c oxidase and Arg 38 in horseradish peroxidase are not corrected, the pK(a) calculations are in error by as much as 6 pH units. With DFT corrected interactions calculated pK(a)s and E(m)s differ from measured values by less than 1 pH unit or 35 mV, respectively. The in situ aquo-heme pK(a) is important for the function of cytochrome c oxidase since it helps to control the stoichiometry of proton uptake coupled to electron transfer [Song, Michonova-Alexova, and Gunner (2006) Biochemistry 45, 7959-7975].

Does Substrate Oxidation Determine the Regioselectivity of Cyclohexene and Propene Oxidation by Cytochrome P450?

DFT and QM/MM computations of allylic C-H hydroxylation versus C=C epoxidation in cyclohexene and propene by Compound I of P450cam demonstrate that the relative barriers for the oxidative processes themselves are not good predictors of the observed selectivity. However, a kinetic expression previously developed (Kozuch, S.; Shaik, S. J. Am. Chem. Soc. 2006, 128, 3355) for catalytic cycles under steady-state conditions, predicts, in accord with experiment, that propene will undergo exclusive C=C epoxidation, while cyclohexene will undergo both reactions with a small preference for epoxidation. The model expression for the effective barrier of the cycle forms a general basis for understanding and predicting the selectivity of P450 isozymes.

Multistate reactivity in styrene epoxidation by compound I of cytochrome p450: mechanisms of products and side products formation

Density functional theoretical calculations are used to elucidate the epoxidation mechanism of styrene with a cytochrome P450 model Compound I, and the formation of side products. The reaction features multistate reactivity (MSR) with different spin states (doublet and quartet) and different electromeric situations having carbon radicals and cations, as well as iron(III) and iron(IV) oxidation states. The mechanisms involve state-specific product formation, as follows: a) The low-spin pathways lead to epoxide formation in effectively concerted mechanisms. b) The high-spin pathways have finite barriers for ring-closure and may have a sufficiently long lifetime to undergo rearrangement and lead to side products. c) The high-spin radical intermediate, (4)2(rad)-IV, has a ring closure barrier as small as the C--C rotation barrier. This intermediate will therefore lose stereochemistry and lead to a mixture of cis and trans epoxides. The barriers for the production of aldehyde and suicidal complexes are too high for this intermediate. d) The high-spin radical intermediate, (4)2(rad)-III, has a substantial ring closure barrier and may survive long enough time to lead to suicidal, phenacetaldehyde and 2-hydroxostyrene side products. e) The phenacetaldehyde and 2-hydroxostyrene products both originate from crossover from the (4)2(rad)-III radical intermediate to the cationic state, (4)2(cat,z(2) ). The process involves an N-protonated porphyrin intermediate that re-shuttles the proton back to the substrate to form either phenacetaldehyde or 2-hydroxostyrene products. This resembles the internally mediated NIH-shift observed during benzene hydroxylation.

Factors influencing the energetics of electron and proton transfers in proteins. What can be learned from calculations

A protein structure should provide the information needed to understand its observed properties. Significant progress has been made in developing accurate calculations of acid/base and oxidation/reduction reactions in proteins. Current methods and their strengths and weaknesses are discussed. The distribution and calculated ionization states in a survey of proteins is described, showing that a significant minority of acidic and basic residues are buried in the protein and that most of these remain ionized. The electrochemistry of heme and quinones are considered. Proton transfers in bacteriorhodopsin and coupled electron and proton transfers in photosynthetic reaction centers, 5-coordinate heme binding proteins and cytochrome c oxidase are highlighted as systems where calculations have provided insight into the reaction mechanism.

Two-State Reactivity, Electromerism, Tautomerism, and “Surprise” Isomers in the Formation of Compound II of the Enzyme Horseradish Peroxidase from the Principal Species, Compound I

QM and QM/MM calculations on Compound II, the enigmatic species in the catalytic cycle of the horseradish peroxidase enzyme, reveal six low-lying isomers. The principal isomer is the triplet oxo-ferryl form (PorFe(IV)=O) that yields the hydroxo-ferryl isomer (PorFe(IV)-OH+). These are the only forms observed in experimental studies. Theory shows, however, that these are the least stable isomers of Compound II. The two most stable forms are the singlet and triplet states of the Por+*Fe(III)-OH electromer. In addition, theory reveals species never considered in heme enzymes: the singlet and triplet states of the Por+*Fe(III)-OH2 electromer. The computational results reproduce the experimental features of the known isomers and enable us to draw relationships and make predictions regarding the missing ones. For example, while the "surprise" species, singlet and triplet Por+*Fe(III)-OH2, have never been considered in heme chemistry, the calculated Fe-O bond lengths indicate that these isomers may have, in fact, been observed in one of the two opposing EXAFS studies reported previously. Furthermore, these ferric-aqua complexes could be responsible for the reported 18O exchange with bulk water. It is clear, therefore, that the role of Compound II in the HRP cycle is considerably more multi-faceted than has been revealed so far. Our suggested multi-state reactivity scheme provides a paradigm for Compound II species. The calculated Mössbauer parameters may be helpful toward eventual characterization of these missing isomers of Compound II.

The effect of heme environment on the hydrogen abstraction reaction of camphor in P450cam catalysis: a QM/MM study

The discrepancies between the published QM/MM studies (Schöneboom, J. C.; Cohen, S.; Lin, H.; Shaik, S.; Thiel, W. J. Am. Chem. Soc. 2004, 126, 4017; Guallar, V.; Friesner, R. A. J. Am. Chem. Soc. 2004, 126, 8501) on H-abstraction of camphor in P450cam have largely been resolved. The crystallographic water molecule 903 situated near the oxo atom of Compound I acts as a catalyst for H-abstraction, lowering the barrier by about 4 kcal/mol. Spin density at the A-propionate side chain of heme can occur in the case of incomplete screening but has no major effect on the computed barrier.

Rapid Freeze-Quench ENDOR Study of Chloroperoxidase Compound I: The Site of the Radical

The classical heme-monooxygenase active intermediate, compound I (Cpd-I), incorporates a heme which is oxidized by two equivalents above the resting ferric state, one equivalent associated with a ferryl center, [Fe=O]2+ (FeS = 1), and the other with an active-site radical (RS = 1/2). Theoretical calculations on models of a Cpd-I with a thiolato axial ligand have presented divergent views about its electronic structure. In one picture, the radical is on the porphyrin; in the other, it is on the sulfur. In this report, ENDOR spectroscopy answers the question, does Cpd-I of the enzyme chloroperoxidase contain a porphyrin pi-cation radical or an iron-bound cysteinyl radical: the radical is predominantly on the porphyrin, with spin density on sulfur having an upper bound, rhoS </= rhoSmax approximately 0.23. We further suggest that the same answer applies to Cpd-I of cytochromes P450.

The role of the heme propionates in heme biochemistry

There are numerous studies, relying on both experimental and theoretical observations, illustrating the active role of the heme propionates in regulating electron delivery to the iron center as well as biochemical properties of the heme. Evidences for this come from a wide variety of heme containing systems: cytochromes, heme peroxidases, globins, etc. Here, we shortly summarize these studies and revisit previous theoretical calculations (V. Guallar, M.H. Baik, S.J. Lippard, R.A. Friesner, Proc. Natl. Acad. Sci. USA 100 (2003) 6998-7002) where the propionate groups induced the delocalization of the spin density in the cytochrome P450cam putative active species, Compound I. We introduce novel data, obtained by means of mixed quantum mechanics and molecular mechanics methods, indicating a larger electron delocalization into the protein. We also present novel results based on the recent migration of spin density observed by Barrows et al. (T.P. Barrows, T.L. Poulos, Biochemistry 44 (2005) 14062-68) on an ascorbate peroxidase mutant. All this data strongly supports the importance of the propionate groups in tuning the heme electronic properties.

Theoretical spectroscopy of model-nonheme [Fe(IV)OL5]2+ complexes in their lowest triplet and quintet states using multireference ab initio and density functional theory methods

The structure, energies and spectroscopic properties of a simple [FeO(NH(3))(5)](2+) model with ground states (3)A(2g) and (5)A(1g) (in approximate C(4v) symmetry) have been studied in some detail using density functional (DFT) and simplified correlated multireference ab initio methods. The results reveal similarities as well as some pronounced differences in the properties of the molecule in the two alternative spin states.

Theoretical Study of the Mechanism of Acetaldehyde Hydroxylation by Compound I of CYP2E1

Recent experimental studies revealed that cytochrome P450 2E1 (CYP2E1) could metabolize not only ethanol but also its primary product, acetaldehyde, accompanying the well-known acetaldehyde dehydrogenases (ALDH) in the metabolism of acetaldehyde. Mechanistic aspects of acetaldehyde hydroxylation by Compound I model active species of CYP2E1 were investigated by means of B3LYP DFT calculations in the present paper. Our study results demonstrate that acetaldehyde hydroxylation by CYP2E1 is in accord with the effectively concerted mechanisms both on the high quartet spin state (HS) and on the low doublet spin state (LS). The rate-limiting step is H-abstraction, and the activation energy is about 11.7 approximately 14.0 kcal/mol on the quartet (doublet) reaction route, which is about one-half to one-third of that needed by methane hydroxylation. The phenomenon that the HS and LS reaction routes are both effectively concerted was shown for the first time to occur in trans-2-phenyl-iso-propylcyclopropane hydroxylation by Kumar et al. (see Figure 7 in the paper of Kumar, D.; de Visser, S. P.; Sharma, P. K.; Cohen, S.; Shaik, S. J. Am. Chem. Soc. 2004, 126, 1907) and was confirmed in our work of acetaldehyde hydroxylation by cytochrome P450. Theoretical exploration of the HS O-rebound barrier degradation is also presented in the present paper on the basis of Shaik's valence bond (VB) model.

The “Somersault” Mechanism for the P-450 Hydroxylation of Hydrocarbons. The Intervention of Transient Inverted Metastable Hydroperoxides

A series of model theoretical calculations are described that suggest a new mechanism for the oxidation step in enzymatic cytochrome P450 hydroxylation of saturated hydrocarbons. A new class of metastable metal hydroperoxides is described that involves the rearrangement of the ground-state metal hydroperoxide to its inverted isomeric form with a hydroxyl radical hydrogen bonded to the metal oxide (MO-OH --> MO....HO). The activation energy for this somersault motion of the FeO-OH group is 20.3 kcal/mol for the P450 model porphyrin iron(III) hydroperoxide [Por(SH)Fe(III)-OOH(-)] to produce the isomeric ferryl oxygen hydrogen bonded to an *OH radical [Por(SH)Fe(III)-O....HO(-)]. This isomeric metastable hydroperoxide, the proposed primary oxidant in the P450 hydroxylation reaction, is calculated to be 17.8 kcal/mol higher in energy than the ground-state iron(III) hydroperoxide Cpd 0. The first step of the proposed mechanism for isobutane oxidation is abstraction of a hydrogen atom from the C-H bond of isobutane by the hydrogen-bonded hydroxyl radical to produce a water molecule strongly hydrogen bonded to anionic Cpd II. The hydroxylation step involves a concerted but nonsynchronous transfer of a hydrogen atom from this newly formed, bound, water molecule to the ferryl oxygen with a concomitant rebound of the incipient *OH radical to the carbon radical of isobutane to produce the C-O bond of the final product, tert-butyl alcohol. The TS for the oxygen rebound step is 2 kcal/mol lower in energy than the hydrogen abstraction TS (DeltaE() = 19.5 kcal/mol). The overall proposed new mechanism is consistent with a lot of the ancillary experimental data for this enzymatic hydroxylation reaction.

Non-Redox Assisted Oxygen-Oxygen Bond Homolysis in Titanocene Alkylperoxide Complexes: [Cp(2)Ti(eta-OOBu)L], L = Cl, OTf, Br, OEt(2), Et(3)P

The titanium(IV) alkylperoxide complex Cp(2)Ti(OO(t)Bu)Cl (1) is formed on treatment of Cp(2)TiCl(2) with NaOO(t)Bu in THF at -20 degrees C. Treatment of 1 with AgOTf at -20 degrees C gives the triflate complex Cp(2)Ti(OO(t)Bu)OTf (2), which is rapidly converted to the bromide Cp(2)Ti(OO(t)Bu)Br (3) on addition of (n)Bu(4)NBr. The X-ray crystal structures of 1 and 3 both show eta(1)-OO(t)Bu ligands. Complex 2 is stable only below -20 degrees C; (1)H, (13)C, and (19)F NMR spectra suggest that it also contains an eta(1)-OO(t)Bu ligand. Removal of the chloride from 1 with [Ag(Et(2)O)(2)]BAr'(4) (Ar' = 3,5-(CF(3))(2)C(6)H(3))) yields the etherate complex [Cp(2)Ti(OO(t)Bu)(OEt(2))]BAr'(4) (4). Again, coordination of a fourth ligand to the Ti center indicates an eta(1)-OO(t)Bu ligand in 4. These peroxide complexes do not directly oxidize olefins or phosphines. For instance, the cationic etherate complex 4 reacts with excess Et(3)P simply by displacement of the ether to form [Cp(2)Ti(eta(1)-OO(t)Bu)(Et(3)P)]BAr'(4) (5). Compounds 1-5 all decompose by O-O bond homolysis, based on trapping and computational studies. The lack of direct oxygen atom transfer reactivity is likely due to the eta(1) coordination of the peroxide and the inability to adopt more reactive eta(2) geometry. DFT calculations indicate that the steric bulk of the (t)Bu group inhibits formation of the hypothetical [Cp(2)Ti(eta(2)-OO(t)Bu)](+) species.

Modeling heme proteins using atomistic simulations

Heme proteins are found in all living organisms, and perform a wide variety of tasks ranging from electron transport, to the oxidation of organic compounds, to the sensing and transport of small molecules. In this work we review the application of classical and quantum-mechanical atomistic simulation tools to the investigation of several relevant issues in heme proteins chemistry: (i) conformational analysis, ligand migration, and solvation effects studied using classical molecular dynamics simulations; (ii) electronic structure and spin state energetics of the active sites explored using quantum-mechanics (QM) methods; (iii) the interaction of heme proteins with small ligands studied through hybrid quantum mechanics-molecular mechanics (QM-MM) techniques; (iv) and finally chemical reactivity and catalysis tackled by a combination of quantum and classical tools.

Regiospecificity of human cytochrome P450 1A1-mediated oxidations: the role of steric effects

Cytochrome P450 1A1 oxidizes a diverse range of substrates, including the procarcinogenic xenobiotic benzo[a]pyrene (B[a]P) and endogenous fatty acid precursors of prostaglandins, such as arachidonic acid (AA) and eicosapentaenoic acid (EA). We have investigated the extent to which enzyme-substrate interactions govern regio- and stereoselectivity of oxidation of these compounds by using docking and molecular dynamics (MD) simulations to examine the likelihood of substrate oxidation at various sites. Due to structural differences between the substrates analyzed, B[a]P and its diols (planar, rigid), and the fatty acids AA and EA (long, flexible), different docking strategies were required. B[a]P, B[a]P-7,8-diols, (+) 7S,8S- and (-) 7R,8R-diols, were docked into the active site of a homology model of P450 1A1 using an automated routine, Affinity (Accelrys, San Diego, CA). AA and EA, on the other hand, required a series of restrained MD simulations to obtain a variety of productive binding modes. All complexes were evaluated by MD-based in silico site scoring to predict product profiles based on certain geometric criteria, such as angle and distance of a given substrate atom from the ferryl oxygen. For all substrates studied, the in vitro profiles were generally reflected by the in silico scores, which suggests that steric factors play a key role in determining regiospecificity in P450 1A1-mediated oxidations. We have also shown that molecular dynamics simulations may be very useful in determination of product profiles for structurally diverse substrates of P450 enzymes.

Kinetic Isotope Effect is a Sensitive Probe of Spin State Reactivity in C−H Hydroxylation of N,N-Dimethylaniline by Cytochrome P450

This paper presents DFT calculations of C-H hydroxylation of N,N-dimethylaniline by Compound I (Cpd I) of cytochrome P450. The reaction involves two processes nascent from the two spin states of Cpd I, the low-spin (LS) and high-spin (HS) states. The calculations demonstrate that the kinetic isotope effects (KIEs) of the two processes are very different, and only KIELS fits the experimental datum. As such, KIE can be a sensitive probe of spin state reactivity.

The axial ligand effect of oxo-iron porphyrin catalysts. How does chloride compare to thiolate?

We have performed density functional theory calculations on an oxo-iron porphyrin catalyst with chloride as an axial ligand and tested its reactivity toward propene. The reactions proceed via multistate reactivity on competing doublet and quartet spin surfaces. Close-lying epoxidation and hydroxylation mechanisms are identified, whereby in the gas phase the epoxidation reaction is dominant, while in environments with a large dielectric constant the hydroxylation pathways become competitive. By contrast to reactions with thiolate as an axial ligand all low-lying pathways have small ring-closure and rebound barriers, so it is expected that side products and rearrangements will be unlikely with Fe=O(porphyrin)Cl, whereas with Fe=O(porphyrin)SH some side products were predicted. The major differences in the electronic configurations of Fe=O(porphyrin)Cl and Fe=O(porphyrin)SH are due to strong mixing of thiolate orbitals with iron 3d orbitals, a mixing which is much less with chloride as an axial ligand. Predictions of the reactivity of ethylbenzene-h (12) versus ethylbenzene-d (12) are made.

Effect of the axial cysteine ligand on the electronic structure and reactivity of high-valent iron(IV) oxo-porphyrins (Compound I): A theoretical study

The effect of axial ligands on the reactivity of high-valent iron(IV) oxo-porphyrins (Compound I) was investigated using the B3LYP hybrid density functional method. We studied alkane hydroxylation using four models: Compound I with thiolate, imidazole, phenolate, and chloride anions as axial ligands. The first three ligands were employed as models for cysteinate, histidine, and tyrosinate, respectively. Our calculations show that anionic ligands and neutral ligands favor different electronic states for stationary points in the reaction coordinate, and the calculated energy barrier and energy of several reaction intermediates show similar values. A remarkable effect of axial ligands was found in the final product release step. Our calculations show that the thiolate ligand weakens a bond between heme and an alcohol. In contrast, the imidazole ligand significantly increases the interaction between heme and an alcohol, which causes the catalytic cycle to be less efficient.

Electronic structure of compound I in human isoforms of cytochrome P450 from QM/MM modeling

Human cytochromes P450 play a vital role in drug metabolism. The key step in substrate oxidation involves hydrogen atom abstraction or C=C bond addition by the oxygen atom of the Compound I intermediate. The latter has three unpaired electrons, two on the Fe-O center and one shared between the porphyrin ring and the proximal cysteinyl sulfur atom. Changes in its electronic structure have been suggested to affect reactivity. The electronic and geometric structure of Compound I in three important human subfamilies of cytochrome P450 (P450, 2C, 2B, and 3A) that are major contributors to drug metabolism is characterized here using combined quantum mechanical/molecular mechanical (QM/MM) calculations at the B3LYP:CHARMM27 level. Compound I is remarkably similar in all isoforms, with the third unpaired electron located mainly on the porphyrin ring, and this prediction is not very sensitive to details of the QM/MM methodology, such as the DFT functional, the basis set, or the size of the QM region. The presence of substrate also has no effect. The main source of variability in spin density on the cysteinyl sulfur (from 26 to 50%) is the details of the system setup, such as the starting protein geometry used for QM/MM minimization. This conformational effect is larger than the differences between human isoforms, which are therefore not distinguishable on electronic grounds, so it is unlikely that observed large differences in substrate selectivity can be explained to a large extent in these terms.

X-ray absorption spectroscopy of chloroperoxidase compound I: Insight into the reactive intermediate of P450 chemistry

We report the structural characterization of a thiolate-ligated ferryl radical. Using x-ray absorption spectroscopy, we examined chloroperoxidase (CPO) compound I (CPO-I). Our results indicate that CPO-I is an authentic ferryl species with an Fe-O bond of 1.65 A. Axial-ligand interactions result in a remarkably long 2.48-A Fe-S bond. Analogous forms of cytochrome P450 and CPO have been shown to possess virtually identical coordination environments. Thus, it seems likely that our findings provide a good structural description of the elusive P450-I.

Modelling enzyme reaction mechanisms, specificity and catalysis

Modern modelling methods can now give uniquely detailed understanding of enzyme-catalyzed reactions, including the analysis of mechanisms and the identification of determinants of specificity and catalytic efficiency. A new field of computational enzymology has emerged that has the potential to contribute significantly to structure-based design and to develop predictive models of drug metabolism and, for example, of the effects of genetic polymorphisms. This review outlines important techniques in this area, including quantum-chemical model studies and combined quantum-mechanics and molecular-mechanics (QM/MM) methods. Some recent applications to enzymes of pharmacological interest are also covered, showing the types of problems that can be tackled and the insight they can give.

Principal Active Species of Horseradish Peroxidase, Compound I: A Hybrid Quantum Mechanical/Molecular Mechanical Study

The active species, Compound I, of horseradish peroxidase (HRP) has been investigated by quantum mechanical/molecular mechanical (QM/MM) calculations using 10 different QM regions. In accord with experimental data, the lowest doublet and quartet states are found to be virtually degenerate, with two unpaired electrons on the FeO moiety and one localized on the porphyrin in an a(2u)-dominant orbital with a minor, but nonnegligible, a(1u) component. The proximal ligand appears to be imidazole rather than imidazolate. The hydrogen-bonding network around the FeO moiety (i.e., Arg38 and His42) has significant influence on the axial bonds and the spin density distribution in the FeO moiety. Including this network in the QM region was found to be essential for reproducing the experimental Mössbauer parameters. The protein environment shapes most of the subtle features of Compound I of HRP.

Two States and Two More in the Mechanisms of Hydroxylation and Epoxidation by Cytochrome P450

Past studies have shown that oxidation reactions by P450 Compound I (Cpd I) can be described by two competing quartet and doublet spin states, which possess three unpaired electrons, hence tri-radicals. One electron excitation from the delta orbital to sigma* xy generates two states that possess five unpaired electrons, so-called penta-radicals, in sextet and quartet situations, and which were shown by theory to lie only approximately 12-14 kcal/mol higher in energy than the tri-radical ground states (ref 7). The present study focuses on the C-H hydroxylation and C=C epoxidation of propene by these penta-radical states. It is shown that the initial energy differences, between the penta-radical and tri-radical states, diminish along the reaction pathway, due to the favorable and cumulative exchange stabilization of the more open-shell species. Furthermore, theory suggests that hydrogen bonding to the thiolate ligand, and general polarity of the environment, reduce these gaps further, thereby making the penta-radical states accessible to ground-state reactivity. The interconversion between the tri-radical and penta-radical states along the reaction coordinate will depend on the dynamics of spin-flips and energy barriers between the states. Especially interesting should be the region of the reaction intermediates; for both epoxidation and hydroxylation, this region is typified by a dense manifold of spin states and electromeric states (that differ by the oxidation state of iron), such that the total reactivity would be expected to reflect the interplay of these states, giving rise to multistate reactivity.

Lennard-Jones parameters for the combined QM/MM method using the B3LYP/6-31G*/AMBER potential

A combined DFT quantum mechanical and AMBER molecular mechanical potential (QM/MM) is presented for use in molecular modeling and molecular simulations of large biological systems. In our approach we evaluate Lennard-Jones parameters describing the interaction between the quantum mechanical (QM) part of a system, which is described at the B3LYP/6-31+G* level of theory, and the molecular mechanical (MM) part of the system, described by the AMBER force field. The Lennard-Jones parameters for this potential are obtained by calculating hydrogen bond energies and hydrogen bond geometries for a large set of bimolecular systems, in which one hydrogen bond monomer is described quantum mechanically and the other is treated molecular mechanically. We have investigated more than 100 different bimolecular systems, finding very good agreement between hydrogen bond energies and geometries obtained from the combined QM/MM calculations and results obtained at the QM level of theory, especially with respect to geometry. Therefore, based on the Lennard-Jones parameters obtained in our study, we anticipate that the B3LYP/6-31+G*/AMBER potential will be a precise tool to explore intermolecular interactions inside a protein environment.