Semiempirical Study of the Bergman Reaction: Towards a Computationally Efficient and Accurate Method for Modeling Enediyne Anticancer Antibiotics

Over the past 7 years, the enediyne anticancer antibiotics have been widely studied due to their DNA cleaving ability. The focus of these antibiotics, represented by kedarcidin chromophore, neocarzinostatin chromophore, calicheamicin, esperamicin A, and dynemicin A, is on the enediyne moiety contained within each of these antibiotics. In its inactive form, the moiety is benign to its environment. Upon suitable activation, the system undergoes a Bergman cycloaromatization proceeding through a 1,4-dehydrobenzene diradical intermediate. It is this diradical intermediate that is thought to cleave double-stranded dna through hydrogen atom abstraction. Semiempirical, semiempiricalci, Hartree–Fock ab initio, and mp2 electron correlation methods have been used to investigate the inactive hex-3-ene-1,5-diyne reactant, the 1,4-dehydrobenzene diradical, and a transition state structure of the Bergman reaction. Geometries calculated with different basis sets and by semiempirical methods have been used for single-point calculations using electron correlation methods. These results are compared with the best experimental and theoretical results reported in the literature. Implications of these results for computational studies of the enediyne anticancer antibiotics are discussed.

Inhibition of DNA polymerase reaction by pyrimidine nucleotide analogues lacking the 2-keto group

To investigate the influence of the pyrimidine 2-keto group on selection of nucleotides for incorporation into DNA by polymerases, we have prepared two C nucleoside triphosphates that are analogues of dCTP and dTTP, namely 2-amino-5-(2'-deoxy-beta-d-ribofuranosyl)pyridine-5'-triphosphate (d*CTP) and 5-(2'-deoxy- beta-d-ribofuranosyl)-3-methyl-2-pyridone-5'-triphosphate (d*TTP) respectively. Both proved strongly inhibitory to PCR catalysed by Taq polymerase; d*TTP rather more so than d*CTP. In primer extension experiments conducted with either Taq polymerase or the Klenow fragment of Escherichia coli DNA polymerase I, both nucleotides failed to substitute for their natural pyrimidine counterparts. Neither derivative was incorporated as a chain terminator. Their capacity to inhibit DNA polymerase activity may well result from incompatibility with the correctly folded form of the polymerase enzyme needed to stabilize the transition state and catalyse phosphodiester bond formation.

Cis-acting elements and developmental regulators govern toxin gene expression in Bacillus anthracis

Expression of the structural genes for the anthrax toxin proteins is coordinately controlled by host-related signals such as elevated CO2 , and the trans-acting positive regulator, AtxA. No specific binding of AtxA to the toxin gene promoters has been demonstrated and no sequence-based similarities are apparent in the promoter regions of toxin genes. We hypothesized that the toxin genes possess common structural features that are required for positive regulation. To test this hypothesis, I performed an extensive characterization of the toxin gene promoters. I determined the minimal sequences required for atxA-mediated toxin gene expression and compared these sequences for structural similarities. In silico modeling and in vitro experiments indicated significant curvature within these regions. Random mutagenesis revealed that point mutations associated with reduced transcriptional activity, mostly mapped to areas of high curvature. This work enabled the identification of two potential cis-acting elements implicated in AtxA-mediated regulation of the toxin genes. In addition to the growth condition requirements and AtxA, toxin gene expression is under growth phase regulation. The transition state regulator AbrB represses atxA expression to influence toxin synthesis. Here I report that toxin gene expression also requires sigH, a gene encoding the RNA polymerase sigma factor associated with development in B. subtilis. In the well-studied B. subtilis system, σH is part of a feedback control pathway that involves AbrB and the major response regulator of sporulation initiation, Spo0A. My data indicate that in B. anthracis, regulatory relationships exist between these developmental regulators and atxA . Interestingly, during growth in toxin-inducing conditions, sigH and abrB expression deviates from that described for B. subtilis, affecting expression of the atxA gene. These findings, combined with previous observations, suggest that the steady state level of atxA expression is critical for optimal toxin gene transcription. I propose a model whereby, under toxin-inducing conditions, control of toxin gene expression is fine-tuned by the independent effects of the developmental regulators on the expression of atxA . The growth condition-dependent changes in expression of these regulators may be crucial for the correct timing and uninterrupted expression of the toxin genes during infection. ^

Control of the master virulence regulatory gene atxA in Bacillus anthracis

Transcription of the Bacillus anthracis structural genes for the anthrax toxin proteins and biosynthetic operon for capsule are positively regulated by AtxA, a transcription regulator with unique properties. Consistent with the role of atxA in virulence factor expression, a B. anthracis atxA-null mutant is avirulent in a murine model for anthrax. In batch culture, multiple signals impact atxA transcript levels, and the timing and steady state level of atxA expression is critical for optimal toxin and capsule synthesis. Despite the apparent complex control of atxA transcription, only one trans-acting protein, the transition state regulator AbrB, has been demonstrated to directly interact with the atxA promoter. The AbrB-binding site has been described, but additional cis-acting control sequences have not been defined. Using transcriptional lacZ fusions, electrophoretic mobility shift assays, and Western blot analysis, the cis-acting elements and trans-acting factors involved in regulation of atxA in B. anthracis strains containing either both virulence plasmids, pXO1 and pXO2, or only one plasmid, pXO1, were studied. This work demonstrates that atxA transcription from the major start site P1 is dependent upon a consensus sequence for the housekeeping sigma factor SigA, and an A+T-rich upstream element (UP-element) for RNA polymerase (RNAP). In addition, the data show that a trans-acting protein(s) other than AbrB negatively impacts atxA transcription when it binds specifically to a 9-bp palindrome within atxA promoter sequences located downstream of P1. Mutation of the palindrome prevents binding of the trans-acting protein(s) and results in a corresponding increase in AtxA and anthrax toxin production in a strain- and culture-dependent manner. The identity of the trans-acting repressor protein(s) remains elusive; however, phenotypes associated with mutation of the repressor binding site have revealed that the trans-acting repressor protein(s) indirectly controls B. anthracis development. Mutation of the repressor binding site results in misregulation and overexpression of AtxA in conditions conducive for development, leading to a marked sporulation defect that is both atxA- and pXO2-61-dependent. pXO2-61 is homologous to the sensor domain of sporulation sensor histidine kinases and is proposed to titrate an activating signal away from the sporulation phosphorelay when overexpressed by AtxA. These results indicate that AtxA is not only a master virulence regulator, but also a modulator of proper B. anthracis development. Also demonstrated in this work is the impact of the developmental regulators AbrB, Spo0A, and SigH on atxA expression and anthrax toxin production in a genetically incomplete (pXO1+, pXO2-) and genetically complete (pXO1+, pXO2+) strain background. AtxA and anthrax toxin production resulting from deletion of the developmental regulators are strain-dependent suggesting that factors on pXO2 are involved in control of atxA. The only developmental deletion mutant that resulted in a prominent and consistent strain-independent increase in AtxA protein levels was an abrB-null mutant. As a result of increased AtxA levels, there is early and increased production of anthrax toxins in an abrB-null mutant. In addition, the abrB-null mutant exhibited an increase in virulence in a murine model for anthrax. In contrast, virulence of the atxA promoter mutant was unaffected in a murine model for anthrax despite the production of 5-fold more AtxA than the abrB-null mutant. These results imply that AtxA is not the only factor impacting pathogenesis in an abrB-null mutant. Overall, this work highlights the complex regulatory network that governs expression of atxA and provides an additional role for AtxA in B. anthracis development.

Highly stereoselective decarboxylation of (+)-1-Bromo-1-chloro-2,2,2-trifluoropropanoic acid gives (+)-1-Bromo-1-chloro-2,2,2-trifluoroethane ((+)-Halothane) with retention of configuration

The absolute configuration of the title acid (2) has been determined to be S by X-ray crystallography. Thus, decarboxylation of 2 produces (S)-(+)-halothane with 99% retention of configuration. This behavior is compared to other stereoselective decarboxylation reactions of ?-haloacids from the literature that also give high degrees of retention of configuration when in the form of their quaternary ammonium salts, which contain one proton. The proton of the ammonium salt is necessary to protonate the anionic intermediate formed from decarboxylation. In the absence of this relatively acidic proton, we had previously found that using triethylene glycol (TEG) as both solvent and proton source for the decarboxylation reaction of acid 2 caused poor stereoselectivity. This was in contrast to 1,2,2,2-tetrafluoro-1-methoxypropionic acid (6), which showed a high degree of retention of configuration in TEG. To rationalize this differing behavior we report DFT studies at PCM-B3LYP/6-31++G** level of theory (the results were additionally confirmed with 6-311++G** and aug-cc-pVDZ basis sets). The energy barrier to inversion of configuration of the anionic reaction intermediate of acid 2 (11) is 10.23 kcal/mol. However, we find that the anionic intermediate from acid 6 (10) would rather undergo ?-elimination instead of inversion of configuration. Thus the planar transition state required for inversion of configuration is never reached, regardless of the rate of proton transfer to the anion.

Modelización de reacciones químicas en presencia de un campo electromagnético variable

En esta tesis se aborda el estudio del proceso de isomerización del sistema molecular LiNC/LiCN tanto aislado como en presencia de un pulso láser aplicando la teoría del estado de transición (TST). Esta teoría tiene como pilar fundamental el hecho de que el conocimiento de la dinámica en las proximidades de un punto de silla de la superficie de energía potencial permite determinar los parámetros cinéticos de la reacción objeto de estudio. Históricamente, existen dos formulaciones de la teoría del estado de transición, la versión termodinámica de Eyring (Eyr38) y la visión dinámica de Wigner (Wig38). Ésta última ha sufrido recientemente un amplio desarrollo, paralelo a los avances en sistemas dinámicos que ha dado lugar a una formulación geométrica en el espacio de fases que sirve como base al trabajo desarrollado en esta tesis. Nos hemos centrado en abordar el problema desde una visión fundamentalmente práctica, ya que la teoría del estado de transición presenta una desventaja: su elevado coste computacional y de tiempo de cálculo. Dos han sido los principales objetivos de este trabajo. El primero de ellos ha sido sentar las bases teóricas y computacionales de un algoritmo eficiente que permita obtener las magnitudes fundamentales de la TST. Así, hemos adaptado con éxito un algoritmo computacional desarrollado en el ámbito de la mecánica celeste (Jor99), obteniendo un método rápido y eficiente para la obtención de los objetos geométricos que rigen la dinámica en el espacio de fases y que ha permitido calcular magnitudes cinéticas tales como el flujo reactivo, la densidad de estados de reactivos y productos y en última instancia la constante de velocidad. Dichos cálculos han sido comparados con resultados estadísticos (presentados en (Mül07)) lo cual nos ha permitido demostrar la eficacia del método empleado. El segundo objetivo de esta tesis, ha sido la evaluación de la influencia de los parámetros de un pulso electromagnético sobre la dinámica de reacción. Para ello se ha generalizado la metodología de obtención de la forma normal del hamiltoniano cuando el sistema químico es alterado mediante una perturbación temporal periódica. En este caso el punto fijo inestable en cuya vecindad se calculan los objetos geométricos de interés para la aplicación de la TST, se transforma en una órbita periódica del mismo periodo que la perturbación. Esto ha permitido la simulación de la reactividad en presencia de un pulso láser. Conocer el efecto de esta perturbación posibilita el control de la reactividad química. Además de obtener los objetos geométricos que rigen la dinámica en una cierta vecindad de la órbita periódica y que son la clave de la TST, se ha estudiado el efecto de los parámetros del pulso sobre la reactividad en el espacio de fases global así como sobre el flujo reactivo que atraviesa la superficie divisoria que separa reactivos de productos. Así, se ha puesto de manifiesto, que la amplitud del pulso es el parámetro más influyente sobre la reactividad química, pudiendo producir la aparición de flujos reactivos a energías inferiores a las de aparición del sistema aislado y el aumento del flujo reactivo a valores constantes de energía inicial. ABSTRACT We have studied the isomerization reaction LiNC/LiCN isolated and perturbed by a laser pulse. Transition State theory (TST) is the main tool we have used. The basis of this theory is knowing the dynamics close to a fixed point of the potential energy surface. It is possible to calculate kinetic magnitudes by knowing the dynamics in a neighbourhood of the fixed point. TST was first formulated in the 30's and there were 2 points of view, one thermodynamical by Eyring (Eyr38) and another dynamical one by Wigner (Wig38). The latter one has grown lately due to the growth of the dynamical systems leading to a geometrical view of the TST. This is the basis of the work shown in this thesis. As the TST has one main handicap: the high computational cost, one of the main goals of this work is to find an efficient method. We have adapted a methodology developed in the field of celestial mechanics (Jor99). The result: an efficient, fast and accurate algorithm that allows us to obtain the geometric objects that lead the dynamics close to the fixed point. Flux across the dividing surface, density of states and reaction rate coefficient have been calculated and compared with previous statistical results, (Mül07), leading to the conclusion that the method is accurate and good enough. We have widen the methodology to include a time dependent perturbation. If the perturbation is periodic in time, the fixed point becomes a periodic orbit whose period is the same as the period of the perturbation. This way we have been able to simulate the isomerization reaction when the system has been perturbed by a laser pulse. By knowing the effect of that perturbation we will be able to control the chemical reactivity. We have also studied the effect of the parameters on the global phase space dynamics and on the flux across the dividing surface. It has been prove that amplitude is the most influent parameter on the reaction dynamics. Increasing amplitude leads to greater fluxes and to some flux at energies it would not if the systems would not have been perturbed.

Mechanical and chemical unfolding of a single protein: A comparison

Is the mechanical unraveling of protein domains by atomic force microscopy (AFM) just a technological feat or a true measurement of their unfolding? By engineering a protein made of tandem repeats of identical Ig modules, we were able to get explicit AFM data on the unfolding rate of a single protein domain that can be accurately extrapolated to zero force. We compare this with chemical unfolding rates for untethered modules extrapolated to 0 M denaturant. The unfolding rates obtained by the two methods are the same. Furthermore, the transition state for unfolding appears at the same position on the folding pathway when assessed by either method. These results indicate that mechanical unfolding of a single protein by AFM does indeed reflect the same event that is observed in traditional unfolding experiments. The way is now open for the extensive use of AFM to measure folding reactions at the single-molecule level. Single-molecule AFM recordings have the added advantage that they define the reaction coordinate and expose rare unfolding events that cannot be observed in the absence of chemical denaturants.

Role of a critical water in scytalone dehydratase-catalyzed reaction

Scytalone dehydratase (EC 4.2.1.94) catalyzes the dehydration of two important intermediates in the biosynthesis of melanin, and it functions without metal ions or any cofactors. Using molecular orbital theory, we have examined the role of a critical water molecule in the mechanism of scytalone dehydratase. The water, together with an internal hydrogen bonding, contributes significantly to the stabilization of the transition state (or the enolate intermediate). The role of two active site tyrosines (Tyr-50 and Tyr-30) is (i) to hold the critical water in place so that it may stabilize the transition state without much structural rearrangement during the catalytic reaction, and (ii) to polarize the water, making it a better general acid. The stereochemistry of the scytalone dehydratase-catalyzed dehydration is also discussed.

Exploring the origins of topological frustration: Design of a minimally frustrated model of fragment B of protein A

Topological frustration in an energetically unfrustrated off-lattice model of the helical protein fragment B of protein A from Staphylococcus aureus was investigated. This Gō-type model exhibited thermodynamic and kinetic signatures of a well-designed two-state folder with concurrent collapse and folding transitions and single exponential kinetics at the transition temperature. Topological frustration is determined in the absence of energetic frustration by the distribution of Fersht φ values. Topologically unfrustrated systems present a unimodal distribution sharply peaked at intermediate φ, whereas highly frustrated systems display a bimodal distribution peaked at low and high φ values. The distribution of φ values in protein A was determined both thermodynamically and kinetically. Both methods yielded a unimodal distribution centered at φ = 0.3 with tails extending to low and high φ values, indicating the presence of a small amount of topological frustration. The contacts with high φ values were located in the turn regions between helices I and II and II and III, intimating that these hairpins are in large part required in the transition state. Our results are in good agreement with all-atom simulations of protein A, as well as lattice simulations of a three- letter code 27-mer (which can be compared with a 60-residue helical protein). The relatively broad unimodal distribution of φ values obtained from the all-atom simulations and that from the minimalist model for the same native fold suggest that the structure of the transition state ensemble is determined mostly by the protein topology and not energetic frustration.

Use of intrinsic binding energy for catalysis by an RNA enzyme

The contribution of several individual ribozyme⋅substrate base pairs to binding and catalysis has been investigated using hammerhead ribozyme substrates that were truncated at their 3′ or 5′ ends. The base pairs at positions 1.1–2.1 and 15.2–16.2, which flank the conserved core, each contribute 104-fold in the chemical step, without affecting substrate binding. In contrast, base pairs distal to the core contribute to substrate binding but have no effect on the chemical step. These results suggest a “fraying model” in which each ribozyme⋅substrate helix can exist in either an unpaired (“open”) state or a helical (“closed”) state, with the closed state required for catalysis. The base pairs directly adjacent to the conserved core contribute to catalysis by allowing the closed state to form. Once the number of base pairs is sufficient to ensure that the closed helical state predominates, additional residues provide stabilization of the helix, and therefore increase binding, but have no further effect on the chemical step. Remarkably, the >5 kcal/mol free energy contribution to catalysis from each of the internal base pairs is considerably greater than the free energy expected for formation of a base pair. It is suggested that this unusually large energetic contribution arises because free energy that is typically lost in constraining residues within a base pair is expressed in the transition state, where it is used for positioning. This extends the concept of “intrinsic binding energy” from protein to RNA enzymes, suggesting that intrinsic binding energy is a fundamental feature of biological catalysis.

On the reaction mechanism of l-lactate oxidase: Quantitative structure-activity analysis of the reaction with para-substituted l-mandelates

The rate constants for reduction of the flavoenzyme, l-lactate oxidase, and a mutant (in which alanine 95 is replaced by glycine), by a series of para-substituted mandelates, in both the 2-1H- and 2-2H- forms, have been measured by rapid reaction spectrophotometry. In all cases, significant isotope effects (1H/2H = 3–7) on the rate constants of flavin reduction were found, indicating that flavin reduction is a direct measure of α-C-H bond breakage. The rate constants show only a small influence of the electronic characteristics of the substituents, but show a good correlation when combined with some substituent volume parameters. A surprisingly good correlation is found with the molecular mass of the substrate. The results are compatible with any mechanism in which there is little development of charge in the transition state. This could be a transfer of hydride to the flavin N(5) position or a synchronous mechanism in which the α-C-H is formally abstracted as a H+ while the resulting charge is simultaneously neutralized by another event.

Exploring the folding free energy surface of a three-helix bundle protein

The multidimensional free energy surface for a small fast folding helical protein is explored based on first-principle calculations. The model represents the 46-residue segment from fragment B of staphylococcal protein A. The relationship between collapse and tertiary structure formation, and the order of collapse and secondary structure formation, are investigated. We find that the initial collapse process gives rise to a transition state with about 30% of the native tertiary structure and 50–70% of the native helix content. We also observe two distinct distributions of native helix in this collapsed state (Rg ≈ 12 Å), one with about 20% of the native helical hydrogen bonds, the other with near 70%. The former corresponds to a local minimum. The barrier from this metastable state to the native state is about 2 kBT. In the latter case, folding is essentially a downhill process involving topological assembly. In addition, the order of formation of secondary structure among the three helices is examined. We observe cooperative formation of the secondary structure in helix I and helix II. Secondary structure in helix III starts to form following the formation of certain secondary structure in both helix I and helix II. Comparisons of our results with those from theory and experiment are made.

Conformation of coenzyme pyrroloquinoline quinone and role of Ca2+ in the catalytic mechanism of quinoprotein methanol dehydrogenase

The ab initio structures of 2,7,9-tricarboxypyrroloquinoline quinone (PQQ), semiquinone (PQQH), and dihydroquinone (PQQH2) have been determined and compared with ab initio structures of the (PQQ)Ca2+, (PQQH)Ca2+, and (PQQH2)Ca2+ complexes as well as the x-ray structure of (PQQ)Ca2+ bound at the active site of the methanol dehydrogenase (MDH) of methyltropic bacteria. Plausible mechanisms for the MDH oxidation of methanol involving the (PQQ)Ca2+ complex are explored via ab initio computations and discussed. Considering the reaction of methanol with PQQ in the absence of Ca2+, nucleophilic addition of methanol to the PQQ C-5 carbonyl followed by a retro-ene elimination is deemed unlikely due to large energy barrier. A much more favorable disposition of the methanol C-5 adduct to provide formaldehyde involves proton ionization of the intermediate followed by elimination of methoxide concerted with hydride transfer to the oxygen of the C-4 carbonyl. Much the same transition state is reached if one searches for the transition state beginning with Asp-303–CO2−general-base removal of the methanol proton of the (PQQ)Ca2+O(H)CH3 complex concerted with hydride transfer to the oxygen at C-4. For such a mechanism the role of the Ca2+ moiety would be to (i) contribute to the formation of the ES complex (ii) provide a modest decrease in the pKa of methanol substrate,; and (iii) polarize the oxygen at C-5.

Inhibition of regulator of G protein signaling function by two mutant RGS4 proteins

Regulators of G protein signaling (RGS) proteins limit the lifetime of activated (GTP-bound) heterotrimeric G protein α subunits by acting as GTPase-activating proteins (GAPs). Mutation of two residues in RGS4, which, based on the crystal structure of RGS4 complexed with Giα1-GDP-AlF4−, directly contact Giα1 (N88 and L159), essentially abolished RGS4 binding and GAP activity. Mutation of another contact residue (S164) partially inhibited both binding and GAP activity. Two other mutations, one of a contact residue (R167M/A) and the other an adjacent residue (F168A), also significantly reduced RGS4 binding to Giα1-GDP-AlF4−, but in addition redirected RGS4 binding toward the GTPγS-bound form. These two mutant proteins had severely impaired GAP activity, but in contrast to the others behaved as RGS antagonists in GAP and in vivo signaling assays. Overall, these results are consistent with the hypothesis that the predominant role of RGS proteins is to stabilize the transition state for GTP hydrolysis. In addition, mutant RGS proteins can be created with an altered binding preference for the Giα-GTP conformation, suggesting that efficient RGS antagonists can be developed.