A ditryptophan cross-link is responsible for the covalent dimerization of human superoxide dismutase 1 during its bicarbonate-dependent peroxidase activity

Unlike intermolecular disulfide bonds, other protein cross-links arising from oxidative modifications cannot be reversed and are presumably more toxic to cells because they may accumulate and induce protein aggregation. However, most of these irreversible protein cross-links remain poorly characterized. For instance, the antioxidant enzyme human superoxide dismutase 1 (hSod1) has been reported to undergo non-disulfide covalent dimerization and further oligomerization during its bicarbonate-dependent peroxidase activity. The dimerization was shown to be dependent on the oxidation of the single, solvent-exposed TrP(32) residue of hSod1, but the covalent dimer was not isolated nor was its structure determined. In this work, the hSod1 covalent dimer was isolated, digested with trypsin in H(2)O and H(2)(18)O, and analyzed by UV-Vis spectroscopy and mass spectrometry (MS). The results demonstrate that the covalent dimer consists of two hSod1 subunits cross-linked by a ditryptophan, which contains a bond between C3 and N1 of the respective Trp(32) residues. We further demonstrate that the cross-link cleaves under usual MS/MS conditions leading to apparently unmodified Trp(32), partially hinders proteolysis, and provides a mechanism to explain the formation of hSod1 covalent trimers and tetramers. This characterization of the covalent hSod1 dimer identifies a novel oxidative modification of protein Trp residues and provides clues for studying its occurrence in vivo. (C) 2010 Elsevier Inc. All rights reserved.

Multivalency in healable supramolecular polymers: the effect of supramolecular cross-link density on the mechanical properties and healing of noncovalent polymer networks

Polymers with the ability to heal themselves could provide access to materials with extended lifetimes in a wide range of applications such as surface coatings, automotive components and aerospace composites. Here we describe the synthesis and characterisation of two novel, stimuli-responsive, supramolecular polymer blends based on π-electron-rich pyrenyl residues and π-electron-deficient, chain-folding aromatic diimides that interact through complementary π–π stacking interactions. Different degrees of supramolecular “cross-linking” were achieved by use of divalent or trivalent poly(ethylene glycol)-based polymers featuring pyrenyl end-groups, blended with a known diimide–ether copolymer. The mechanical properties of the resulting polymer blends revealed that higher degrees of supramolecular “cross-link density” yield materials with enhanced mechanical properties, such as increased tensile modulus, modulus of toughness, elasticity and yield point. After a number of break/heal cycles, these materials were found to retain the characteristics of the pristine polymer blend, and this new approach thus offers a simple route to mechanically robust yet healable materials.

Stabilization of the i-motif structure by the intra-strand cross-link formation

The i-motif structures are formed by oligonucleotides containing cytosine tracts under acidic conditions. The folding of the i-motif under physiological conditions is of great interest because of its biological role. In this study, we investigated the effect of the intra-strand cross-link on the stability of the i-motif structure. The 4-vinyl-substituted analog of thymidine (T-vinyl) was incorporated into the 5′-end of the human telomere complementary strand, which formed the intra-strand cross-link with the internal adenine. The intra-strand cross-linked i-motif displayed CD spectra similar to that of the natural i-motif at acidic pH, which was transformed into a random coil with the increasing pH. The pH midpoint for the transition from the i-motif to random coil increased from pH 6.1 for the natural one to pH 6.8 for the cross-linked one. The thermodynamic parameters were obtained by measuring the thermal melting behaviors by CD and UV, and it was determined that the intra-strand cross-linked i-motif is stabilized due to a favorable entropy effect. Thus, this study has clearly indicated the validity of the intra-strand cross-linking for stabilization of the i-motif structure.

A structural basis for a phosphoramide mustard-induced DNA interstrand cross-link at 5'-d(GAC).

Phosphoramide mustard-induced DNA interstrand cross-links were studied both in vitro and by computer simulation. The local determinants for the formation of phosphoramide mustard-induced DNA interstrand cross-links were defined by using different pairs of synthetic oligonucleotide duplexes, each of which contained a single potentially cross-linkable site. Phosphoramide mustard was found to cross-link dG to dG at a 5'-d(GAC)-3'. The structural basis for the formation of this 1,3 cross-link was studied by molecular dynamics and quantum chemistry. Molecular dynamics indicated that the geometrical proximity of the binding sites also favored a 1,3 dG-to-dG linkage over a 1,2 dG-to-dG linkage in a 5'-d(GCC)-3' sequence. While the enthalpies of 1,2 and 1,3 mustard cross-linked DNA were found to be very close, a 1,3 structure was more flexible and may therefore be in a considerably higher entropic state.

Biocompatibilité des microcapsules d'alginate : purification d'alginate, réaction immunitaire de l'hôte et protection du receveur

L’immuno-isolation des îlots de Langerhans est proposée comme moyen d’effectuer des transplantations sans prise d’immunosuppresseurs par le patient. Cette immuno-isolation, par l’entremise d’une microcapsule composée d’alginate et de poly-L-lysine (microcapsule APA), protège le greffon d’une éventuelle attaque du système immunitaire du receveur grâce à sa membrane semi-perméable. Cette membrane empêche le système immunitaire du receveur de pénétrer la microcapsule tout en laissant diffuser librement les nutriments, le glucose et l’insuline. Avant l’application de cette technique chez l’humain, quelques défis doivent encore être relevés, dont la biocompatibilité de ce système. La biocompatibilité fait ici référence à la biocompatibilité du biomatériau utilisé pour la fabrication des microcapsules, l’alginate, mais aussi la biocompatibilité des microcapsules reliée à leur stabilité. En effet, il a été remarqué que, lors d’implantation in vivo de microcapsules fabriquées avec de l’alginate non purifiée, ceci induisait un phénomène nommé Réaction de l’Hôte contre la Microcapsule (RHM). De plus, il est connu que la stabilité des microcapsules APA peut influencer leur biocompatibilité puisqu’une microcapsule endommagée ou brisée pourrait laisser s’échapper les cellules du greffon chez le receveur. Nous croyons qu’une compréhension des processus d’initiation de la RHM en fonction de l’efficacité des procédés de purification d’alginate (et donc des quantités de contaminants présents dans l’alginate) ainsi que l’augmentation de la stabilité des microcapsules APA pourront améliorer la biocompatibilité de ce dispositif, ce que tente de démontrer les résultats présentés dans cette thèse. En effet, les résultats obtenus suggèrent que les protéines qui contaminent l’alginate jouent un rôle clé dans l’initiation de la RHM et qu’en diminuant ces quantités de protéines par l’amélioration des procédés de purification d’alginate, on améliore la biocompatibilité de l’alginate. Afin d’augmenter la stabilité des microcapsules APA, nous décrivons une nouvelle technique de fabrication des microcapsules qui implique la présence de liaisons covalentes. Ces nouvelles microcapsules APA réticulées sont très résistantes, n’affectent pas de façon négative la survie des cellules encapsulées et confinent les cellules du greffon à l’intérieur des microcapsules. Cette dernière caractéristique nous permet donc d’augmenter la biocompatibilité des microcapsules APA en protégeant le receveur contre les cellules du greffon.

Recovery and upgrading bovine rumen protein by extrusion: effect of lipid content on protein disulphide cross-linking, solubility and molecular weight

Bovine rumen protein with two levels of residual lipids (1.9 per cent or 3.8 per cent) was subjected to thermoplastic extrusion under different temperatures and moisture contents. Protein solubility in different buffers, disulphide cross-linking and molecular weight distribution were determined on the extrudates. After extrusion, samples with 1.9 per cent residual lipids content had a higher concentration of protein insoluble by undetermined forces, irrespective of feed moisture and processing temperature used. Lipid content of 3.8 per cent in the feed material resulted in more protein participating in the extrudate network through non-covalent interactions (hydrophobic and electrostatic) and disulphide bonds. A small dependency of the extrusion process on moisture and temperature and a marked dependency on lipid content, especially phospholipid, was observed, Electrophoresis under non-reducing conditions showed that protein extrusion with low feed moisture promoted high molecular breakdown inside the barrel, probably due to intense shear force, and further protein aggregation at the die end

Recovery and upgrading bovine rumen protein by extrusion: Effect of lipid content on protein disulphide cross-linking, solubility and molecular weight

Bovine rumen protein with two levels of residual lipids (1.9% or 3.8%) was subjected to thermoplastic extrusion under different temperatures and moisture contents. Protein Solubility in different buffers, disulphide cross-linking and molecular weight distribution were determined on the extrudates. After extrusion, samples with 1.9% residual lipids content had a higher concentration of protein insoluble by undetermined forces, irrespective of feed moisture and processing temperature used. Lipid content of 3.8% in the feed material resulted in more protein participating in the extrudate network through non-covalent interactions (hydrophobic and electrostatic) and disulphide bonds. A small dependency of the extrusion process on moisture and temperature and a marked dependency on lipid content, especially phospholipid, was observed, Electrophoresis under non-reducing conditions showed that protein extrusion with low feed moisture promoted high molecular breakdown inside the barrel, probably due to intense shear force, and further protein aggregation at the die end. (C) 2009 Elsevier Ltd. All rights reserved.

Development and evaluation of antibody-MHC/peptide conjugates as a new form of cancer immunotherapy

Summary One of the major goals of cancer immunotherapy is the induction of a specific and effective antitumor cytotoxic T lymphocyte (CTL) response. However, the downregulation of Class I Major Histocompatibility Complexes (MHC) expression and the low level of tumor peptide presentation on tumor cell surface, ás well as the low immunogenicity of tumor specific antigens, limit the effectiveness of anti-tumor CTL responses. On the other hand, monoclonal antibodies, which bind with high affinity to tumor cell surface markers, are powerful tumor targeting tools. However, their capacity to .kill cancer cells is limited and mAb cancer treatments usually require the addition of different form of chemotherapy. The new cancer immunotherapy strategy described herein combines the advantage of the high tumor targeting capacity of monoclonal antibodies (mAb) with the powerful cytotoxicity of CD8 T lymphocytes directed against highly antigenic peptide-MHC complexes. Monoclonal antibody Fab fragments directed against a cell surface tumor associated antigen (TAA) are chemically coupled to soluble MHC class I complexes carrying a highly antigenic peptide. Antibody guided targeting and oligomerization of numerous antigenic class IMHC/peptide complexes on tumor cell surfaces can redirect the cytotoxicity of peptide-specific CD8 T cells towards target cancer cells. After the description of the production of murine anti-tumor xMHC/peptide conjugates in the first part of this thesis, the therapeutic potential of such conjugates were sequentially investigated in different syngeneic tumor mouse models. As a first proof of principle, transgenic OT-1 mice and later CEA transgenic C57BL/6 (B6) mice, adoptively transferred with OT-1 spleen cells and immunized with ovalbumin, were used as a model of high frequency of ova peptide specific T cells. In these mice, growth inhibition and regression of palpable colon carcinoma expressing CEA, were obtained by systemic injection of anti-CEA Fab/H-2Kb/ova peptide conjugates. Next, LCMV virus and influenza virus infection of B6 mice were used as viral models to redirect natural antiviral CTL responses to tumors via conjugates loaded with viral peptides. We showed that in mice infected with the LCMV virus, subcutaneous CEA-expressing tumor cells were inhibited by the H2Db/GP33 restricted anti-viral CTL response when preincubated before grafting with anti-CEA Fab-H-2Db/GP33 peptide conjugates. In mice infected with the influenza virus, lung metastases expressing the HER2 antigen were inhibited by the H-2Db/NP366 restricted CTLs response when preincubated before injection with anti-Her2 Fab-H-2Db/NP366 peptide conjugates. In the last chapter, the stability of the peptide in the anti-CEA Fab-H-2Db/GP33 conjugates was improved by the covalent photocross-link of the GP33 peptide in the H-2Db MHC groove. Thus, LCMV immune mice could reject CEA expressing tumors when treated with systemic injections of anti-CEA FabH-2Db/GP33 cross-linked conjugates. These results are encouraging for the potential application of this strategy in clinic. Such conjugates could be used alone in patients boosted by the relevant virus, or used in combination with existing T cell based ìmmunotherapy. Résumé Une des principales approches utilisées dans l'immunothérapie contre le cancer consiste en l'induction d'une réponse T cytotoxique (CTL) spécifiquement dirigée contre la tumeur. Cependant, le faible niveau d'expression des complexes majeurs d'histocompatibilité de classe I (CMH I) et de présentation des peptides tumoraux à la surface des cellules cancéreuses ainsi que la faible immunogenicité des antigens tumoraux, limitent l'efficacité de la réponse CTL. D'autre part,. l'injection d'anticorps monoclonaux (mAb), se liant avec une haute affinité aux marqueurs de surface des cellules tumorales, a fourni des résultats cliniques encourageant. Cependant l'efficacité de ces mAbs contre des tumeur solides reste limitée et necessite souvent l'addition de chimiotherapie. La nouvelle stratégie thérapeutique décrite dans ce travail associe le fort pouvoir de localisation des anticorps monoclonaux et le fort pouvoir cytotoxique des lymphocytes T CD8+. Des fragments Fab d'anticorps monoclonaux, dirigés contre des antigènes surexprimés à la surface de cellules tumorales, ont été chimiquement couplés à des CMH I solubles, portant un peptide fortement antigénique. Le ciblage et l'oligomérisation à la surface des cellules tumorales de nombreux CMH I présentant un peptide antigénique, va réorienter la cytotoxicité des cellules T CD8+ spécifiques du peptide présenté, vers les cellules tumorales cibles. Après une description de la production de conjugé anti-tumeur x CMH Upeptide dans la première partie de cette thèse, le potentiel thérapeutique de tels conjugés a été successivement étudiés in vivo dans différents modèles de tumeur syngénéiques. Tout d'abord, des souris OT-1 transgéniques, puis des souris C57BL/6 (B6) transférées avec des cellules de rate OT-1 puis immunisées avec l'ovalbumine, ont été employées comme modèle de haute fréquence de cellules T CD8+ spécifiques du peptide ova. Chez ces souris, l'inhibition de la croissance et la régression de nodules palpables de carcinomes exprimant l'antigène caccino embryonaire (ACE), ont été obtenues par l'injection systémique de conjugés anti-ACE Fab/H-2Kb/ova. Par la suite, l'infection de souris B6 par le virus LCMV et par le virus de la grippe, ont été utilisés comme modèles viraux pour redirigées des réponses anti-virales naturelles vers les tumeurs, en utilisant des conjugés chargés avec des peptides viraux. Nous avons montré que .chez les souris infectées par le LCMV, la croissance de carcinome sous-cutané est empêchée par la réponse anti-virale, spécifique du complexe H2Db/GP33, lorsque les cellules tumorales greffées sont pré-incubées avec des conjugés anti-CEA Fab-H-2Db/GP33. Dans le cas de souris infectées par le virus de la grippe, la métastatisation de mélanomes pulmonaires exprimant l'antigène HER-2 est inhibée par la réponse anti-virale spécifique du complexe H-2Db/NP366, après pré-incubation des cellules tumorales avec des conjugés anti-Her2 FabxH-2Db/NP366. Dans le dernier chapitre, la liaison covalente du peptide GP33 dans le complexe H-2Db a amélioré la stabilité des conjugés correspondants et a permis le traitement systémique de souris greffées avec des tumeurs exprimant l'ACE et infectées par le LCMV. L'ensemble de ces résultats sont encourageant pour l'application de cette strategie en clinique. De tels conjugués pourraient être employés seuls ou en combinaison avec des protocols d'immunisation peptidique anti-tumoral. Résumé pour un large public Dans les pays industrialisés, le cancer se situe au deuxième rang des causes de mortalité après les maladies cardiovasculaires. Les principaux traitement de nombreux cancers sont la chirurgie, en association avec la radiothérapie et la chimiothérapie. L'immunothérapie est l'une des nouvelles approches mises en oeuvre pour la lutte contre le cancer. Elle peut être humorale, et s'appuyer alors sur la perfusion d'anticorps monoclonaux dirigés contre des antigènes tumoraux, par exemple les anticorps dirigés contre les protéines oncogéniques Her-2/neu dans le cancer du sein. Ces anticorps ont le grand avantage de spécifiquement se localiser à la tumeur et d'induire la lyse ou d'inhiber la proliferation des cellules tumorales exprimant l'antigène. Certains sont utilisés en clinique pour le traitement de lymphomes, de carcinomes de l'ovaire et du sein ou encore de carcinomes metastatiques du côlon. Cependant l'efficacité de ces anticorps contre des tumeurs solides reste limitée et les traitements exigent souvent d'être combiner avec de la chimiothérapie. L'immunothérapie spécifique peut également être cellulaire et reposer sur une démarche de type vaccinal, consistant à générer des lymphocytes T cytotoxiques (cytotoxic T lymphocytes :CTL) capables de détruire spécifiquement les cellules malignes. Pour obtenir une réponse lymphocytaire T cytotoxique antitumorale, la cellule T doit reconnaître un antigène associé à la tumeur, présenté sous forme de peptide dans un complexe majeur d'histocompatibilité de classe I. Or les cellules tumorales ne presentent pas efficacement les peptides antigèniques, car elles se caractérisent par une diminution ou une absence d'expression des antigènes d'histocompatibilité de classe I, des molécules d'adhésion et des cytokines costimulatrices, et par une faible expression des antigènes associés aux tumeurs. C'est en partie pourquoi, malgré l'induction de fortes réponses CTL specifiquement dirigés contre des antigens tumoraux, les régressions tumorales obtenus grace à ces vaccinations sont relativement rares. Alors que chez les personnes atteintes du cancer on observe l'instauration d'une tolérance immunitaire vis-à-vis de la tumeur, à l'inverse, notre systeme immunitaire reste parfaitement capable de combattre des infection virales classiques, tels que la grippe, qui font aussi appel à une réponse T cytotoxique. Notre groupe de recherche a donc eu l'idee de développer une nouvelle approche thérapeutique où une réponse immunitaire anti-virale très efficace serait redirigée vers les tumeurs par des anticorps monoclonaux. Concrètement, nous avons chimiquement couplés des fragments d'anticorps monoclonaux dirigés contre des antigènes surexprimés à la surface de cellules tumorales, à des CMH I portant un peptide viral antigénique. Les cellules tumorales, ciblées par le fragment anticorps et couvertes d' antigènes viraux présentés par des molécules de CMH I, peuvent ainsi tromper les lymphocytes cytotoxiques anti-viraux qui vont détruire les cellules tumorales comme si elles étaient infectées par le virus. Suite à des résultats prometteurs obtenus in vitro avec différents conjugués anticorps-CMH humain de type HLA.A2/peptide Flu, le but du projet était de tester in vivo des conjugués anticorps-CMH I murins sur des modèles expérimentaux de souris. Tout d'abord, des souris transgéniques pour un recepteur T specifique du peptide ova, puis des transferts adoptifs de ces cellules T specifiques dans des souris immunocompétentes, ont été choisi comme modèle de haute fréquence des cellules T spécifiques, et ont permi de valider le principe de la strategie in vivo. Puis, deux modèles viraux ont été elaboré avec le virus LCMV et le virus Influenza, pour réorienter des réponses antivirales naturelles vers les tumeurs grâce à des conjugés chargés avec des peptides viraux. Nous avons montré la grande capacité de nos conjugués à rediriger des réponses cytotoxiques vers les tumeurs et inhiber la croissance de tumeurs syngénéiques sous cutanés et pulmonaires. Ces résultats d'inhibition tumorales obtenus dans des souris immunocompétentes, grâce à l'injection de conjugués anticorps xCMH/peptide et réorientant deux réponses antivirales différentes vers deux modèles tumoraux syngeneiques, sont encourageant pour l'application de cette nouvelle stratégie en clinique.

Combined Electrostatic and Covalent Polymer Networks for Cell Microencapsulation

Two types of hydrogel microspheres have been developed. Fast ionotropic gelation of sodium alginate (Na-alg) in the presence of calcium ions was combined with slow covalent cross-linking of poly(ethylene glycol) (PEG) derivatives. For the first type, the fast obtainable Ca-alg hydrogel served as spherical matrix for the simultaneously occurring covalent cross-linking of multi-arm PEG derivative. A two-component interpenetrating network was formed in one step upon extruding the mixture of the two polymers into the gelation bath. For the second type, heterobifunctional PEG was grafted onto Na-alg prior to gelation. Upon extrusion of the polymer solution into the gelation bath, fast Ca-alg formation ensured the spherical shape and was accompanied by cross-linker-free covalent cross-linking of the PEG side chains. Thus, one-component hydrogel microspheres resulted. We present the physical properties of the hydrogel microspheres and demonstrate the feasibility of cell microencapsulation for both types of polymer networks.

X-ray crystallographic study of DNA duplex cross-linking: simultaneous binding to two d(CGTACG)(2) molecules by a bis(9-aminoacridine-4-carboxamide) derivative

Acridine-4-carboxamides form a class of known DNA mono-intercalating agents that exhibit cytotoxic activity against tumour cell lines due to their ability to inhibit topoisomerases. Previous studies of bis-acridine derivatives have yielded equivocal results regarding the minimum length of linker necessary between the two acridine chromophores to allow bis-intercalation of duplex DNA. We report here the 1.7 angstrom resolution X-ray crystal structure of a six-carbon-linked bis(acridine-4-carboxamide) ligand bound to d(CGTACG)(2) molecules by non-covalent duplex cross-linking. The asymmetric unit consists of one DNA duplex containing an intercalated acridine-4-carboxamide chromophore at each of the two CG steps. The other half of each ligand is bound to another DNA molecule in a symmetry-related manner, with the alkyl linker threading through the minor grooves. The two crystallographically independent ligand molecules adopt distinct side chain interactions, forming hydrogen bonds to either O6 or N7 on the major groove face of guanine, in contrast to the semi-disordered state of mono-intercalators bound to the same DNA molecule. The complex described here provides the first structural evidence for the non-covalent cross-linking of DNA by a small molecule ligand and suggests a possible explanation for the inconsistent behaviour of six-carbon linked bis-acridines in previous assays of DNA bis-intercalation.

Development of films based on blends of gelatin and poly(vinyl alcohol) cross linked with glutaraldehyde

Both gelatin and poly(vinyl alcohol) (PVA) can be cross linked with glutaraldehyde (GLU). In the case of gelatin, the GLU reacts with each e-NH2 functional group of adjacent lysine residues, while for PVA, the GLU reacts with two adjacent hydroxyl groups, forming acetal bridges. Thus it can be considered possible to cross link adjacent macromolecules of gelatin and PVA using GLU. In this context, the aims of this work were the development of biodegradable films based on blends of gelatin and poly(vinyl alcohol) cross linked with GLU, and the characterization of some of their main physical and functional properties. All the films were produced from film-forming solutions (FFS) containing 2 g macromolecules (PVA + gelatin)/100 g FFS, 25 g glycerol/100 g macromolecules, and 4 g GLU (25% solution)/100 g FFS. The FFS were prepared with two concentrations of PVA (20 or 50 g PVA/100 g macromolecules) and two reaction temperatures: 90 or 55 degrees C, applied for 30 min. The films were obtained after drying (30 degrees C/24 h) and conditioning at 25 degrees C and 58% of relative humidity for 7 days, and were then characterized. The results for the color parameters, mechanical properties, phase transitions and infrared spectra showed that some chemical modifications occurred, principally for the gelatin. However, in general, all the characteristics of the films were either typical of films based on blends of these macromolecules without cross linking, or slightly higher. A greater improvement in the properties of this material was probably not observed due to the crystallinity of the PVA, which has a melting point above 90 degrees C. The presence of microcrystals in the polymer chain probably reduced macromolecular mobility, hindering the reaction. Thus more research is necessary to produce biodegradable films with improved properties. (C) 2011 Elsevier Ltd. All rights reserved.

Epichlorohydrin Cross-Linking of Synthetic DNA Oligomers

Epichlorohydrin (ECH), an important chemical in the synthetic polymer industry, is a bifunctional alkylating agent with the potential to form DNA interstrand crosslinks. Occupational exposure to this suspect carcinogen leads to chromosomal aberrations, and ECH has been shown to undergo reaction with DNA in vivo and in vitro. We are using denaturing polyacrylamide gel electrophoresis to assess cross-linking of synthetic DNA oligomers by both ECH and the related compound, epibromohydrin (EBH). Both epihalohydrins produce a low-mobility band on denaturing gels consistent with an interstrand cross-link. Moreover, the efficiencies, sequence preferences, reaction kinetics, and pH dependence differ for the two compounds, suggesting different mechanisms of reaction. Understanding these alkylation reactions may help explain the role of the epihalohydrins in cancer development.

Obtenção de amido resistente por intercruzamento e por tratamento hidrotérmico, e sua incorporação em bolos

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Deterministic Solutions for a Step-growth Polymerization

Chain topology, including branch node, chain link and cross-link dynamics that contribute to the number of elastically active strands and junctions, are calculated using purely deterministic derivations. Solutions are not coupled to population density distributions. An eigenzeit transformation assists in the conversion of expressions derived by chemical reaction principles from time to conversion space, yielding transport phenomena type expressions where the rate of change in the molar concentrations of branch nodes with respect to conversion is expressed as functions of the fraction of reactive sites on precursors and reactants. Analogies are hypothesized to exist in cross-linking space that effectively distribute branch nodes with i reacted moieties between cross-links having j bonds extending to the gel. To obtain solutions, reacted sites on nodes or links with finite chain extensions are examined in terms of stoichiometry associated with covalent bonding. Solutions replicate published results based on Miller and Macosko’s recursive procedure and results obtained from truncated weighted sums of population density distributions as suggested by Flory.

Interacting helical faces of subunits a and c in the F1Fo ATP synthase of Escherichia coli defined by disulfide cross-linking

Subunits a and c of Fo are thought to cooperatively catalyze proton translocation during ATP synthesis by the Escherichia coli F1Fo ATP synthase. Optimizing mutations in subunit a at residues A217, I221, and L224 improves the partial function of the cA24D/cD61G double mutant and, on this basis, these three residues were proposed to lie on one face of a transmembrane helix of subunit a, which then interacted with the transmembrane helix of subunit c anchoring the essential aspartyl group. To test this model, in the present work Cys residues were introduced into the second transmembrane helix of subunit c and the predicted fourth transmembrane helix of subunit a. After treating the membrane vesicles of these mutants with Cu(1,10-phenanthroline)2SO4 at 0°, 10°, or 20°C, strong a–c dimer formation was observed at all three temperatures in membranes of 7 of the 65 double mutants constructed, i.e., in the aS207C/cI55C, aN214C/cA62C, aN214C/cM65C, aI221C/cG69C, aI223C/cL72C, aL224C/cY73C, and aI225C/cY73C double mutant proteins. The pattern of cross-linking aligns the helices in a parallel fashion over a span of 19 residues with the aN214C residue lying close to the cA62C and cM65C residues in the middle of the membrane. Lesser a–c dimer formation was observed in nine other double mutants after treatment at 20°C in a pattern generally supporting that indicated by the seven landmark residues cited above. Cross-link formation was not observed between helix-1 of subunit c and helix-4 of subunit a in 19 additional combinations of doubly Cys-substituted proteins. These results provide direct chemical evidence that helix-2 of subunit c and helix-4 of subunit a pack close enough to each other in the membrane to interact during function. The proximity of helices supports the possibility of an interaction between Arg210 in helix-4 of subunit a and Asp61 in helix-2 of subunit c during proton translocation, as has been suggested previously.