Thermodynamic fidelity of the mammalian cytochrome P450 2B4 active site in binding substrates and inhibitors

Structural plasticity of mammalian cytochromes P450 (CYP) has recently been explored in our laboratory and elsewhere to understand the ligand-binding promiscuity. CYP2B4 exhibits very different conformations and thermodynamic signatures in binding the small inhibitor 4-(4-chlorophenyl)imidazole (4-CPI) versus the large bifonazole. Using four key active-site mutants (F296A, T302A, I363A, and V367L) that are involved in binding one or both inhibitors, we dissected the thermodynamic basis for the ability of CYP2B4 to bind substrates and inhibitors of different sizes and chemistry. In all cases, 1:1 binding stoichiometry was observed. The inhibitors 4-CPI, 1-(4-chlorophenyl)imidazole, and 1-(2-(benzyloxy)ethyl)imidazole bind to the mutants with a free energy difference (ΔΔG) of ∼ 0.5 to 1 kcal/mol compared with the wild type but with a large entropy-enthalpy compensation of up to 50 kcal/mol. The substrate testosterone binds to all four mutants with a ΔΔG of ∼ 0.5 kcal/mol but with as much as 40 kcal/mol of entropy-enthalpy compensation. In contrast, benzphetamine binding to V367L and F296A is accompanied by a ΔΔG of ∼ 1.5 and 3 kcal/mol, respectively. F296A, I363A, and V367L exhibit very different benzphetamine metabolite profiles, indicating the different substrate-binding orientations in the active site of each mutant. Overall, the findings indicate that malleability of the active site allows mammalian P450s to exhibit a high degree of thermodynamic fidelity in ligand binding.     

Analysis of the binding energies of testosterone, 5alpha-dihydrotestosterone,androstenedione and dehydroepiandrosterone sulfate with an antitestosterone antibody

Molecular dynamics simulations and molecular mechanics-Poisson-Boltzmann surface area (MM-PBSA) free energy calculations were used to study the binding of testosterone (TES), 5alpha-dihydrotestosterone (5ADHT), androstenedione (AND), and dehydroepiandrosterone sulfate (DHEAS) to the monoclonal antitestosterone antibody 3-C(4)F(5). The relative binding free energy of TES and AND was also calculated with free energy perturbation (FEP) simulations. The antibody 3-C(4)F(5) has a relatively high affinity (3 x 10(8) M(-1)) and on overall good binding profile for testosterone but its cross-reactivity with DHEAS has been the main reason for the failure to use this antibody in clinical immunoassays. The relative binding free energies obtained with the MM-PBSA method were 1.5 kcal/mol for 5ADHT, 3.8 kcal/mol for AND, and 4.3 kcal/mol for DHEAS, as compared to TES. When a water molecule of the ligand binding site, observed in the antibody-TES crystal structure, was explicitly included in MM-PBSA calculations, the relative binding energies were 3.4, 4.9, and 5.4 kcal/mol for 5ADHT, AND, and DHEAS, respectively. The calculated numbers are in correct order but larger than the corresponding experimental energies of 1.3, 1.5, and 2.6 kcal/mol, respectively. The fact that the MM-PBSA method reproduced the relative binding free energies of DHEAS, a steroid having a negatively charged sulfate group, and the neutrally charged TES, 5ADHT, and AND in satisfactory agreement with experiment shows the robustness of the method in predicting relative binding affinities. The 800-ps FEP simulations predicted that the antibody 3-C(4)F(5) binds TES 1.3 kcal/mol tighter than AND. Computational mutagenesis of selected amino acid residues of the ligand binding site revealed that the lower affinities of AND and DHEAS as compared to TES are due to a combined effect of several residues, each contributing a small fraction to the tighter binding of TES. An exception to this is Tyr99H, whose mutation to Ala lowered the binding of DHEAS 0.7 kcal/mol more than the binding of TES. This is probably due to the hydrogen bonding interaction formed between the OH group of Tyr99H and the sulfate group of DHEAS. Computational mutagensis data also showed that the affinity of the steroids to the antitestosterone antibody 3-C(4)F(5) would be enhanced if Trp47H were repositioned so that it would make more extensive contacts with the bound ligands. In addition, the binding of steroids to antitestosterone, antiprogesterone, and antiestradiol antibodies is discussed.     

Glycogen phosphorylase inhibitors: a free energy perturbation analysis of glucopyranose spirohydantoin analogues

GP catalyzes the phosphorylation of glycogen to Glc-1-P. Because of its fundamental role in the metabolism of glycogen, GP has been the target for a systematic structure-assisted design of inhibitory compounds, which could be of value in the therapeutic treatment of type 2 diabetes mellitus. The most potent catalytic-site inhibitor of GP identified to date is spirohydantoin of glucopyranose (hydan). In this work, we employ MD free energy simulations to calculate the relative binding affinities for GP of hydan and two spirohydantoin analogues, methyl-hydan and n-hydan, in which a hydrogen atom is replaced by a methyl- or amino group, respectively. The results are compared with the experimental relative affinities of these ligands, estimated by kinetic measurements of the ligand inhibition constants. The calculated binding affinity for methyl-hydan (relative to hydan) is 3.75 +/- 1.4 kcal/mol, in excellent agreement with the experimental value (3.6 +/- 0.2 kcal/mol). For n-hydan, the calculated value is 1.0 +/- 1.1 kcal/mol, somewhat smaller than the experimental result (2.3 +/- 0.1 kcal/mol). A free energy decomposition analysis shows that hydan makes optimum interactions with protein residues and specific water molecules in the catalytic site. In the other two ligands, structural perturbations of the active site by the additional methyl- or amino group reduce the corresponding binding affinities. The computed binding free energies are sensitive to the preference of a specific water molecule for two well-defined positions in the catalytic site. The behavior of this water is analyzed in detail, and the free energy profile for the translocation of the water between the two positions is evaluated. The results provide insights into the role of water molecules in modulating ligand binding affinities. A comparison of the interactions between a set of ligands and their surrounding groups in X-ray structures is often used in the interpretation of binding free energy differences and in guiding the design of new ligands. For the systems in this work, such an approach fails to estimate the order of relative binding strengths, in contrast to the rigorous free energy treatment.     

Reciprocal cooperative effects of multiple ligand binding to pyruvate kinase

The formation of multiple ligand complexes with muscle pyruvate kinase was measured in terms of dissociation constants and the standard free energies of formation were calculated. The binding of Mn2+ to the enzyme (KA = 55 +/- 5 X 10(-6) M; deltaF degrees = -5.75 +/- 0.05 kcal/mol) and to the enzyme saturated with phosphoenolpyruvate (conditional free energy) KA' = 0.8 +/- 0.4 X 10(-6) M; deltaF degrees = -8.22 +/- 0.34 kcal/mol) has been measured under identical conditions giving a free energy of coupling, delta(deltaF degrees) = -2.47 +/- 0.34 kcal/mol. Such a large negative free energy of coupling is diagnostic of a strong positively cooperative effect in ligand binding. The binding of the substrate phosphoenolpyruvate to free enzyme and the enzyme-Mn2+ complex was, by necessity, measured by different methods. The free energy of phosphoenolpyruvate binding to free enzyme (KS = 1.58 +/- 0.10 X 10(-4)M; deltaF degrees = -5.13 +/- 0.04 kcal/mol) and to the enzyme-Mn2+ complex (K3 = 0.75 +/- 0.10 X 10(-6)M; deltaF degrees = -8.26 +/- 0.07 kcal/mol) also gives a large negative free energy of coupling, delta(deltaF degrees) = -3.16 +/- 0.08 kcal/mol. Such a large negative value confirms reciprocal binding effects between the divalent cation and the substrate phosphoenolpyruvate. The binding of Mn2+ to the enzyme-ADP complex was also investigated and a free energy of coupling, delta(deltaF degrees) = -0.08 +/- 0.08 kcal/mol, was measured, indicative of little or no cooperativity in binding. The free energy of coupling with Mn2+ and pyruvate was measured as -1.52 +/- 0.14 kcal/mol, showing a significant amount of cooperativity in ligand binding but a substantially smaller effect than that observed for phosphoenolpyruvate binding. The magnitude of the coupling free energy may be related to the role of the divalent cation in the formation of the enzyme-substrate complexes. In the absence of the activating monovalent cation, the coupling free energies for phosphoenolpyruvate and pyruvate binding decrease by 40-60% and 25%, respectively, substantiating a role for the monovalent cation in the formation of enzyme-substrate complexes with phosphoenolpyruvate and with pyruvate.     

Molecular docking and enzyme kinetic studies of dihydrotanshinone on metabolism of a model CYP2D6 probe substrate in human liver microsomes

The effects of Danshen and its active components (tanshinone I, tanshinone IIA, dihydrotanshinone and cryptotanshinone) on CYP2D6 activity was investigated by measuring the metabolism of a model CYP2D6 probe substrate, dextromethorphan to dextrorphan in human pooled liver microsomes. The ethanolic extract of crude Danshen (6.25-100 μg/ml) decreased dextromethorphan O-demethylation in vitro (IC(50)=23.3 μg/ml) and the water extract of crude Danshen (0.0625-1 mg/ml) showed no inhibition. A commercially available Danshen pill (31.25-500 μg/ml) also decreased CYP2D6 activity (IC(50)=265.8 μg/ml). Among the tanshinones, only dihydrotanshinone significantly inhibited CYP2D6 activity (IC(50)=35.4 μM), compared to quinidine, a specific CYP2D6 inhibitor (IC(50)=0.9 μM). Crytotanshinone, tanshinone I and tanshinone IIA produced weak inhibition, with IC(20) of 40.8 μM, 16.5 μM and 61.4 μM, respectively. Water soluble components such as salvianolic acid B and danshensu did not affect CYP2D6-mediated metabolism. Enzyme kinetics studies showed that inhibition of CYP2D6 activity by the ethanolic extract of crude Danshen and dihydrotanshinone was concentration-dependent, with K(i) values of 4.23 μg/ml and 2.53 μM, respectively, compared to quinidine, K(i)=0.41 μM. Molecular docking study confirmed that dihydrotanshinone and tanshinone I interacted with the Phe120 amino acid residue in the active cavity of CYP2D6 through Pi-Pi interaction, but did not interact with Glu216 and Asp301, the key residues for substrate binding. The logarithm of free binding energy of dihydrotanshinone (-7.6 kcal/mol) to Phe120 was comparable to quinidine (-7.0 kcal/mol) but greater than tanshinone I (-5.4 kcal/mol), indicating dihydrotanshinone has similar affinity to quinidine in binding to the catalytic site on CYP2D6.     

Theoretical study on the interaction of titanocene dichloride with deoxyguanosine monophosphate

The completely hydrolyzed titanocene dichloride, [Cp₂Ti(H₂O)₂]²⁺ binding to guanine (G) and phosphate group sites of DNA were investigated by DFT method, with using deoxyguanosine monophosphate (dGMP) as incoming ligand. In the first substitutions, the calculations reveal that the diaquated titanocene binding to O6 shows the lowest activation free energy with 17.9 kcal/mol, closely followed by N7 is 20.5 kcal/mol and the O of phosphate group is 26.3 kcal/mol, respectively. It was also found that all the titanation processes are mildly endothermic. In addition, for the Ti-B(dGMP) in all separated products, the bond dissociation free energies (BDFE) of Ti-O(P, P = phosphate) is higher than those of Ti-N7/O6. In the second substitutions, the reactions leading to the didentate adducts are considered. For bidentate-bridging N7, O6 binding mode, the path of the metal Ti binding to O6 has the lower activation free energy (11.3 kcal/mol) than that of the metal Ti binding to N7 (15.3 kcal/mol). For the bidentate-bridging N7, O(P) binding mode, the path of the metal Ti binding to O(P) has the lower activation free energies (25.3 kcal/mol) than that of the metal Ti binding to N7 (26.2 kcal/mol).     

Predicting Ligand Binding Affinity with Alchemical Free Energy Methods in a Polar Model Binding Site

We present a combined experimental and modeling study of organic ligand molecules binding to a slightly polar engineered cavity site in T4 lysozyme (L99A/M102Q). For modeling, we computed alchemical absolute binding free energies. These were blind tests performed prospectively on 13 diverse, previously untested candidate ligand molecules. We predicted that eight compounds would bind to the cavity and five would not; 11 of 13 predictions were correct at this level. The RMS error to the measurable absolute binding energies was 1.8 kcal/mol. In addition, we computed “relative” binding free energies for six phenol derivatives starting from two known ligands: phenol and catechol. The average RMS error in the relative free energy prediction was 2.5 kcal/mol (phenol) and 1.1 kcal/mol (catechol). To understand these results at atomic resolution, we obtained x-ray co-complex structures for nine of the diverse ligands and for all six phenol analogs. The average RMSD of the predicted pose to the experiment was 2.0 Å (diverse set), 1.8 Å (phenol-derived predictions), and 1.2 Å (catechol-derived predictions). We found that predicting accurate affinities and rank-orderings required near-native starting orientations of the ligand in the binding site. Unanticipated binding modes, multiple ligand binding, and protein conformational change all proved challenging for the free energy methods. We believe that these results can help guide future improvements in physics-based absolute binding free energy methods.     

An epoxidation mechanism of carbamazepine by CYP3A4

Human CYP3A4 catalyzes the 10,11-epoxidation of carbamazepine (CBZ). However, the epoxide is less stable in terms of potential energy than hydroxides of the six-membered aromatic ring. To clarify the reason why CYP3A4 produces such an energetically unfavorable compound, the mechanism of epoxidation of CBZ by CYP3A4 was investigated by theoretical calculations. The reaction consisted of two elementary processes in which two C–O bonds were generated stepwise. The rate-determining step was the first one and the activation energy was 21.3 kcal/mol at the DFT (B3LYP/6-31G^**) level. The activation energy level of the first step of the 10,11-epoxidation was lower than that of the hydroxylation of the aromatic ring. For this reason, 10,11-epoxidation is more probable than hydroxylation of the aromatic ring, and only 10,11-epoxide is formed.     

Inhibition of Escherichia coli glucosamine-6-phosphate synthase by reactive intermediate analogues. The role of the 2-amino function in catalysis

Glucosamine-6-phosphate synthase (GlmS) catalyzes the formation of D-glucosamine 6-phosphate from D-fructose 6-phosphate using L-glutamine as the ammonia source. Because N-acetylglucosamine is an essential building block of both bacterial cell walls and fungal cell wall chitin, the enzyme is a potential target for antibacterial and antifungal agents. The most potent carbohydrate-based inhibitor of GlmS reported to date is 2-amino-2-deoxy-D-glucitol 6-phosphate, an analogue of the putative cis-enolamine intermediate formed during catalysis. The interaction of a series of structurally related cis-enolamine intermediate analogues with GlmS is described. Although arabinose oxime 5-phosphate is identified as a good competitive inhibitor of GlmS with an inhibition constant equal to 1. 2 (+/-0.3) mM, the presence of the amino function at the 2-position is shown to be important for potent inhibition. Comparison of the binding affinities of 2-deoxy-D-glucitol 6-phosphate and 2-amino-2-deoxy-D-glucitol 6-phosphate indicates that the amino function contributes -4.1 (+/-0.1) kcal/mol to the free energy of inhibitor binding. Similarly, comparison of the binding affinities of 2-deoxy-D-glucose 6-phosphate and D-glucosamine 6-phosphate indicates that the amino function contributes -3.0 (+/-0.1) kcal/mol to the free energy of product binding. Interactions between GlmS and the 2-amino function of its ligands contribute to the uniform binding of the product and the cis-enolamine intermediate as evidenced by the similar contribution of the amino group to the free energy of binding of D-glucosamine 6-phosphate and 2-amino-2-deoxy-D-glucitol 6-phosphate, respectively.     

Oxidation and electronic state dependence of proton transfer in the enzymatic cycle of cytochrome P450eryF

Hydrogen bond networks, consisting of hydrogen bonded waters anchored by polar/acidic amino acid sidechains, are often present in the vicinity of the oxygen binding clefts of P450s. Density functional and quantum dynamics calculations of a O(2) binding cleft network model of cytochrome P450eryF(CYP107A1) indicate that such structural motifs facilitate ultrafast proton transfer from network waters to the dioxygen of the reduced oxyferrous species via a multiple proton translocation mechanism with barriers of 7-10 kcal/mol on its doublet ground state, and that the energies of the proton transfer reactant and constrained proton transfer products have an electronic and oxidation state dependence [J. Am. Chem. Soc. 124 (2002) 1430]. In the present study, the origin of the oxidation state dependence is shown to have its roots in differential proton affinities while the electronic state dependence of the reduced oxyferrous heme has its origins in subtle differences in network topologies near the transition state of the initial proton transfer event. Relaxed potential surface scans and unconstrained proton transfer product optimizations indicate that the proton transfer product in both the singlet oxyferrous heme and the reduced oxyferrous heme species in a quartet state are not viable stable (bound) states relative to the reactant form. While the proton affinity of H(3)O(+) is sufficient for it to protonate both the oxyferrous and the reduced oxyferrous heme species, hydrogen bond network stabilized water is only capable of protonating the reduced oxyferrous form. This interpretation is substantiated by study of the NO bound reduced ferrous heme of P450nor, which is isoelectronic with the oxyferrous heme and has a similar proton affinity. Density functional calculations on a more extensive O(2) binding cleft model support the multiple proton translocation mechanism of transfer but indicates that the significant negative charge density on the bound dioxygen of the reduced oxyferrous heme species, in its doublet ground state, polarizes the associated hydrogen bond network sufficiently so as to result in short, strong, low-barrier hydrogen bonds. The computed O-H-O bond distances are less than 2.55 A and have a near degeneracy of the proton transfer reactant and initial (sudden) proton transfer products. These low-barrier hydrogen bond features, in addition to the finding of a (zero point uncorrected) barrier of 1.3 kcal/mol, indicate that proton transfer from water to the distal oxygen should be rapid, facile and may not require large curvature tunneling as originally suggested by use of a smaller model. An initial assessment of protonation of the reduced oxyferrous heme distal oxygen by a model of 6-deoxyerythronolide B (6-DEB) indicates it to be low barrier (3.8 kcal/mol) and exothermic (-2.9 kcal/mol). The combined results indicate the plausibility of simultaneous diprotonation of the distal oxygen of the reduced oxyferrous heme, leading to O-O bond scission, using the combined water network and 6-DEB substrate protonation agents.     

Protein-protein recognition: an experimental and computational study of the R89K mutation in Raf and its effect on Ras binding

Binding of the protein Raf to the active form of Ras promotes activation of the MAP kinase signaling pathway, triggering cell growth and differentiation. Raf/Arg89 in the center of the binding interface plays an important role determining Ras-Raf binding affinity. We have investigated experimentally and computationally the Raf-R89K mutation, which abolishes signaling in vivo. The binding to [gamma-35S]GTP-Ras of a fusion protein between the Raf-binding domain (RBD) of Raf and GST was reduced at least 175-fold by the mutation, corresponding to a standard binding free energy decrease of at least 3.0 kcal/mol. To compute this free energy and obtain insights into the microscopic interactions favoring binding, we performed alchemical simulations of the RBD, both complexed to Ras and free in solution, in which residue 89 is gradually mutated from Arg into Lys. The simulations give a standard binding free energy decrease of 2.9+/-1.9 kcal/mol, in agreement with experiment. The use of numerous runs with three different force fields allows insights into the sources of uncertainty in the free energy and its components. The binding decreases partly because of a 7 kcal/mol higher cost to desolvate Lys upon binding, compared to Arg, due to better solvent interactions with the more concentrated Lys charge in the unbound state. This effect is expected to be general, contributing to the lower propensity of Lys to participate in protein-protein interfaces. Large contributions to the free energy change also arise from electrostatic interactions with groups up to 8 A away, namely residues 37-41 in the conserved effector domain of Ras (including 4 kcal/mol from Ser39 which loses a bifurcated hydrogen bond to Arg89), the conserved Lys84 and Lys87 of Raf, and 2-3 specific water molecules. This analysis will provide insights into the large experimental database of Ras-Raf mutations.     

A transition state in pieces: major contributions of entropic effects to ligand binding by adenosine deaminase.

Nebularine undergoes hydration at the active site of adenosine deaminase, in a reaction analogous to a partial reaction in the displacement of ammonia from adenosine by water, to generate an inhibitory complex that captures much of the binding affinity expected of an ideal transition-state analogue. Enzyme affinities of several compounds related to nebularine 1,6-hydrate, and to its stable analog 2'-deoxycoformycin, were compared in an effort to identify the structural origins of strong binding. Binding of the stable transition-state analog inhibitor 2'-deoxycoformycin was rendered 9.8 kcal/mol less favorable by removal of substituent ribose, 9.7 kcal/mol less favorable by inversion of the 8-hydroxyl substituent of the diazepine ring, and 10.0 kcal/mol less favorable by removal of atoms 4-6 of the diazepine ring. Binding of the unstable transition-state analog nebularine hydrate was rendered at least 9.9 kcal/mol less favorable by removal of the 6-hydroxyl group and 10.2 kcal/mol less favorable by removal of atoms 1-3 of the pyrimidine ring. In each case, the enzyme exhibited only modest affinity (Kd greater than or equal to 10(-2) M) for the "missing piece", indicating that incorporation of 2 binding determinants within a single molecule permits an additional 7-12 kcal/mol of intrinsic binding energy to be manifested as observed binding energy. These results are consistent with earlier indications that adenosine deaminase may use 10.5 kcal/mol of the intrinsic free energy of binding of the two substrates to place them in positions appropriate for reaction at the active site, overcoming the unfavorable entropy change of -35 eu for the equilibrium of 1,6-hydration of purine ribonucleoside and reducing the equilibrium constant for attainment of the transition state in deamination of adenosine. Thus, adenosine deaminase may achieve up to 8 orders of magnitude of its catalytic power by converting the nonenzymatic, bimolecular, hydration reaction to a monomolecular reaction at its active site. Several new 6-substituted 1,6-dihydropurine ribonucleosides, prepared by photoaddition of formate and by low-temperature addition of organolithium reagents to a derivative of purine ribonucleoside, exhibited Ki values of 9-1400 microM against adenosine deaminase, in accord with the active site's considerable tolerance of bulky leaving groups in substrates. Inhibition by one diastereomer of 6-carboxy-1,6-dihydropurine ribonucleoside was found to be time-dependent, progressing from a weakly bound to a more strongly bound complex.     

Application of molecular dynamics and free energy perturbation methods to metalloporphyrin-ligand systems II: CO and dioxygen binding to myoglobin.

The protein contribution to the relative binding affinity of the ligands CO and O2 toward myoglobin (Mb) has been simulated using free energy perturbation calculations. The tautomers of the His E7 residue are different for the oxymyoglobin (MbO2) and carboxymyoglobin (MbCO) systems. This was modeled by performing two-step calculations that mutate the ligand and mutate the His E7 tautomers in separate steps. Differences in hydrogen bonding to the O2 and CO ligands were incorporated into the model. The O2 complex was calculated to be 2-3 kcal/mol more stable than the corresponding CO complex when compared to the same difference in an isolated heme control. This value agrees well with the experimental value of 2.0 kcal/mol. In qualitative agreement with experiments, the Fe-C-O bond is found to be bent (theta = 159.8 degrees) with a small tilt (theta = 6.2 degrees). The contributions made by each of the 29 residues--within the 9.0-A radius of the iron atom--to the free energy difference are separated into van der Waals and electrostatic contributions; the latter contributions are dominant. Aside from the proximal histidine and the heme group, the residues having the largest difference in free energy in mutating MbO2-->MbCO are His E7, Phe CD1, Phe CD4, Val E11, and Thr E10.     

Study of the insulin dimerization: binding free energy calculations and per-residue free energy decomposition

A calculation of the binding free energy for the dimerization of insulin has been performed using the molecular mechanics-generalized Born surface area approach. The calculated absolute binding free energy is -11.9 kcal/mol, in approximate agreement with the experimental value of -7.2 kcal/mol. The results show that the dimerization is mainly due to nonpolar interactions. The role of the hydrogen bonds between the 2 monomers appears to give the direction of the interactions. A per-atom decomposition of the binding free energy has been performed to identify the residues contributing most to the self association free energy. Residues B24-B26 are found to make the largest favorable contributions to the dimerization. Other residues situated at the interface between the 2 monomers were found to make favorable but smaller contributions to the dimerization: Tyr B16, Val B12, and Pro B28, and to an even lesser extent, Gly B23. The energy decomposition on a per-residue basis is in agreement with experimental alanine scanning data. The results obtained from a single trajectory (i.e., the dimer trajectory is also used for the monomer analysis) and 2 trajectories (i.e., separate trajectories are used for the monomer and dimer) are similar.     

Evaluating the roles of the heme a side chains in cytochrome c oxidase using designed heme proteins

Heme a is a redox cofactor unique to cytochrome c oxidases and vital to aerobic respiration. Heme a differs from the more common heme b by two chemical modifications, the C-8 formyl group and the C-2 hydroxyethylfarnesyl group. The effects of these porphyrin substituents on ferric and ferrous heme binding and electrochemistry were evaluated in a designed heme protein maquette. The maquette scaffold chosen, [Delta7-H3m](2), is a four-alpha-helix bundle that contains two bis(3-methyl-l-histidine) heme binding sites with known absolute ferric and ferrous heme b affinities. Hemes b, o, o+16, and heme a, those involved in the biosynthesis of heme a, were incorporated into the bis(3-methyl-l-histidine) heme binding sites in [Delta7-H3m](2). Spectroscopic analyses indicate that 2 equiv of each heme binds to [Delta7-H3m](2), as designed. Equilibrium binding studies of the hemes with the maquette demonstrate the tight affinity for hemes containing the C-2 hydroxyethylfarnesyl group in both the ferric and ferrous forms. Coupled with the measured equilibrium midpoint potentials, the data indicate that the hydroxyethylfarnesyl group stabilizes the binding of both ferrous and ferric heme by at least 6.3 kcal/mol via hydrophobic interactions. The data also demonstrate that the incorporation of the C-8 formyl substituent in heme a results in a 179 mV, or 4.1 kcal/mol, positive shift in the heme reduction potential relative to heme o due to the destabilization of ferric heme binding relative to ferrous heme binding. The two substituents appear to counterbalance each other to provide for tighter heme a affinity relative to heme b in both the ferrous and ferric forms by at least 6.3 and 2.1 kcal/mol, respectively. These results also provide a rationale for the reaction sequence observed in the biosynthesis of heme a.     

Free energy simulations and MM-PBSA analyses on the affinity and specificity of steroid binding to antiestradiol antibody

Antiestradiol antibody 57-2 binds 17beta-estradiol (E2) with moderately high affinity (K(a) = 5 x 10(8) M(-1)). The structurally related natural estrogens estrone and estriol as well synthetic 17-deoxy-estradiol and 17alpha-estradiol are bound to the antibody with 3.7-4.9 kcal mol(-1) lower binding free energies than E2. Free energy perturbation (FEP) simulations and the molecular mechanics-Poisson-Boltzmann surface area (MM-PBSA) method were applied to investigate the factors responsible for the relatively low cross-reactivity of the antibody with these four steroids, differing from E2 by the substituents of the steroid D-ring. In addition, computational alanine scanning of the binding site residues was carried out with the MM-PBSA method. Both the FEP and MM-PBSA methods reproduced the experimental relative affinities of the five steroids in good agreement with experiment. On the basis of FEP simulations, the number of hydrogen bonds formed between the antibody and steroids, which varied from 0 to 3 in the steroids studied, determined directly the magnitude of the steroid-antibody interaction free energies. One hydrogen bond was calculated to contribute about 3 kcal mol(-1) to the interaction energy. Because the relative binding free energies of estrone (two antibody-steroid hydrogen bonds), estriol (three hydrogen bonds), 17-deoxy-estradiol (no hydrogen bonds), and 17alpha-estradiol (two hydrogen bonds) are close to each other and clearly lower than that of E2 (three hydrogen bonds), the water-steroid interactions lost upon binding to the antibody make an important contribution to the binding free energies. The MM-PBSA calculations showed that the binding of steroids to the antiestradiol antibody is driven by van der Waals interactions, whereas specificity is solely due to electrostatic interactions. In addition, binding of steroids to the antiestradiol antibody 57-2 was compared to the binding to the antiprogesterone antibody DB3 and antitestosterone antibody 3-C4F5, studied earlier with the MM-PBSA method.     

Accurate PDZ/Peptide Binding Specificity with Additive and Polarizable Free Energy Simulations

PDZ domains contain 80–100 amino acids and bind short C-terminal sequences of target proteins. Their specificity is essential for cellular signaling pathways. We studied the binding of the Tiam1 PDZ domain to peptides derived from the C-termini of its Syndecan-1 and Caspr4 targets. We used free energy perturbation (FEP) to characterize the binding energetics of one wild-type and 17 mutant complexes by simulating 21 alchemical transformations between pairs of complexes. Thirteen complexes had known experimental affinities. FEP is a powerful tool to understand protein/ligand binding. It depends, however, on the accuracy of molecular dynamics force fields and conformational sampling. Both aspects require continued testing, especially for ionic mutations. For six mutations that did not modify the net charge, we obtained excellent agreement with experiment using the additive, AMBER ff99SB force field, with a root mean square deviation (RMSD) of 0.37 kcal/mol. For six ionic mutations that modified the net charge, agreement was also good, with one large error (3 kcal/mol) and an RMSD of 0.9 kcal/mol for the other five. The large error arose from the overstabilization of a protein/peptide salt bridge by the additive force field. Four of the ionic mutations were also simulated with the polarizable Drude force field, which represents the first test of this force field for protein/ligand binding free energy changes. The large error was eliminated and the RMS error for the four mutations was reduced from 1.8 to 1.2 kcal/mol. The overall accuracy of FEP indicates it can be used to understand PDZ/peptide binding. Importantly, our results show that for ionic mutations in buried regions, electronic polarization plays a significant role.     

A comparison of the reaction mechanisms of iron- and manganese-containing 2,3-HPCD: an important spin transition for manganese

Homoprotocatechuate (HPCA) dioxygenases are enzymes that take part in the catabolism of aromatic compounds in the environment. They use molecular oxygen to perform the ring cleavage of ortho-dihydroxylated aromatic compounds. A theoretical investigation of the catalytic cycle for HPCA 2,3-dioxygenase isolated from Brevibacterium fuscum (Bf 2,3-HPCD) was performed using hybrid DFT with the B3LYP functional, and a reaction mechanism is suggested. Models of different sizes were built from the crystal structure of the enzyme and were used in the search for intermediates and transition states. It was found that the enzyme follows a reaction pathway similar to that for other non-heme iron dioxygenases, and for the manganese-dependent analog MndD, although with different energetics. The computational results suggest that the rate-limiting step for the whole reaction of Bf 2,3-HPCD is the protonation of the activated oxygen, with an energy barrier of 17.4 kcal/mol, in good agreement with the experimental value of 16 kcal/mol obtained from the overall rate of the reaction. Surprisingly, a very low barrier was found for the O-O bond cleavage step, 11.3 kcal/mol, as compared to 21.8 kcal/mol for MndD (sextet spin state). This result motivated additional studies of the manganese-dependent enzyme. Different spin coupling between the unpaired electrons on the metal and on the evolving substrate radical was observed for the two enzymes, and therefore the quartet spin state potential energy surface of the MndD reaction was studied. The calculations show a crossing between the sextet and the quartet surfaces, and it was concluded that a spin transition occurs and determines a barrier of 14.4 kcal/mol for the O-O bond cleavage, which is found to be the rate-limiting step in MndD. Thus the two 83% identical enzymes, using different metal ions as co-factors, were found to have similar activation energies (in agreement with experiment), but different rate-limiting steps.     

Relative binding free energy calculations of inhibitors to two mutants (Glu46----Ala/Gln) of ribonuclease T1 using molecular dynamics/free energy perturbation approaches.

We present free energy perturbation calculations on the complexes of Glu46----Ala46 (E46A) and Glu46----Gln46 (E46Q) mutants of ribonuclease T1 (RNaseT1) with inhibitors 2'-guanosine monophosphate (GMP) and 2'-adenosine monophosphate (AMP) by a thermodynamic perturbation method implemented with molecular dynamics (MD). Using the available crystal structure of the RNaseT1-GMP complex, the structures of E46A-GMP and E46Q-GMP were model built and equilibrated with MD simulations. The structures of E46A-AMP and E46Q-AMP were obtained as a final structure of the GMP----AMP perturbation calculation respectively. The calculated difference in the free energy of binding (delta delta Gbind) was 0.31 kcal/mol for the E46A system and -1.04 kcal/mol for the E46Q system. The resultant free energies are much smaller than the experimental and calculated value of approximately 3 kcal/mol for the native RNaseT1, which suggests that both mutants have greater relative adenine affinities than native RNaseT1. Especially E46Q is calculated to have a larger affinity for adenine than guanine, as we suggested previously from the calculation on the native RNaseT1. Thus, the molecular dynamics/free energy perturbation method may be helpful in protein engineering, directed toward increasing or changing the substrate specificity of enzymes.