Geometry of the SL(3,ℂ)-character variety of torus knots.

Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presentation G = . We find a geometric description of the character variety X(G) of characters of representations of G into SL(3,ℂ), GL(3,ℂ) and PGL(3,ℂ).

A metabolomic approach to study the rhizodeposition in the tritrophic interaction: tomato, Pochonia chlamydosporia and Meloidogyne javanica

A combined chemometrics-metabolomics approach [excitation–emission matrix (EEM) fluorescence spectroscopy, nuclear magnetic resonance (NMR) and high performance liquid chromatography–mass spectrometry (HPLC–MS)] was used to analyse the rhizodeposition of the tritrophic system: tomato, the plant-parasitic nematode Meloidogyne javanica and the nematode-egg parasitic fungus Pochonia chlamydosporia. Exudates from M. javanica roots were sampled at root penetration (early) and gall development (late). EMM indicated that late root exudates from M. javanica treatments contained more aromatic amino acid compounds than the rest (control, P. chlamydosporia or P. chlamydosporia and M. javanica). 1H NMR showed that organic acids (acetate, lactate, malate, succinate and formic acid) and one unassigned aromatic compound (peak no. 22) were the most relevant metabolites in root exudates. Robust principal component analysis (PCA) grouped early exudates for nematode (PC1) or fungus presence (PC3). PCA found (PC1, 73.31 %) increased acetate and reduced lactate and an unassigned peak no. 22 characteristic of M. javanica root exudates resulting from nematode invasion and feeding. An increase of peak no. 22 (PC3, 4.82 %) characteristic of P. chlamydosporia exudates could be a plant “primer” defence. In late ones in PC3 (8.73 %) the presence of the nematode grouped the samples. HPLC–MS determined rhizosphere fingerprints of 16 (early) and 25 (late exudates) m/z signals, respectively. Late signals were exclusive from M. javanica exudates confirming EEM and 1H NMR results. A 235 m/z signal reduced in M. javanica root exudates (early and late) could be a repressed plant defense. This metabolomic approach and other rhizosphere -omics studies could help to improve plant growth and reduce nematode damage sustainably.

Collected works.

v. 1. The aquarium : an unveiling of the wonders of the deep sea -- v. 2. Assyria : her restored from her monuments -- v. 3. The Canadian naturalist : a series of conversations on the natural history of Lower Canada -- v. 4. Evenings at the microscope, or, Researches among the minuter organs and forms of animal life -- v. 5-6. An introduction to zoology. -- v. 1-2-v. 7. Land and sea -- v. 8. Life in its lower, intermediate, and higher forms, or, Manifestations of the divine wisdom in the natural history of animals. 3d. ed. -- v. 9. The monuments of ancient Egypt, and their relation to the Word of God -- v. 10. Natural history. Mammalia -- v. 11. A naturalist's rambles on the Devonshire coast -- v. 12. A naturalist's sojourn in Jamaica / (Assisted by Richard Hill) -- v. 13. The ocean -- v. 14. Ompholos : an attempt to untie the geological knot -- v. 15. Sacred streams : the ancient and modern history of the river of the Bible. New ed., rev. -- v. 16. Tenby : a sea-side holiday -- v. 17. A year at the shore.

The novels and stories.

v. 1. The late Mrs. Null.--v. 2. The Squirrel Inn. The Merry Chanter.--v. 3. Rudder Grange.--v. 4. The hundredth man.--v. 5. Ardis Claverden.--v. 6. The great war syndicate. The stories of the three burglars. The knife that killed Po Hancy. Dusky philosophy.--v. 7. The house of Martha.--v. 8. Pomona's travels. Euphemia among the pelican's. The Rudder Grangers in England. Pomona's daughter.--v. 9. The adventures of Captain Horn.--v. 10. Mrs. Cliff's yacht.--v. 11. The great stone of Sardis. The water-devil.--v. 12. The girl at Cobhurst.--v. 13. The casting away of Mrs. Lecks and Mrs. Aleshine. The vizier of the two-horned Alexander.--v. 14. The associate hermits.--v. 15. Stories. [v.]1: The lady or the tiger? The discourager of hesitancy. The transferred ghost. The spectral mortgage. Every man his own letter-writer. Thar same old coon. Our story. Derelict. On the training of parents. A borrowed month. The baker of Barnbury. The watchmaker's wife.--v. 16. Stories. [v.]2: A tale of negative gravity. Asaph. The remarkable page. The Cloverfield's carriage. A story of assisted fate. My bull-calf. As one woman to another. Our fire-screen. My terminal moraine. Plain fishing.--v. 17. Stories. [v.]3: The griffin and the minor canon. Old Pipes and the dryad. The bee-man of Orn. The queen's museum. The clocks of Rondaine. Christmas before last; or, the fruit of the fragile palm. Prince Hassak's march. The battle of the third cousins. The banished king. The philopena. Amos Kilbright: his adscititious experiences. The Christmas shadrach. The bishop's ghost and the printer's baby. The philosophy of relative existences.--v. 18. Stories. [v.]4: The magic egg. "His wife's deceased sister." The widow's cruise. Captain Eli's best ear. Love before breakfast. The staying power of Sir Rohan. A piece of red calico. The Christmas wreck. My well and what came out of it. Mr. Tolman. My unwilling neighbor. Our archery club.--v. 19. Afield and afloat: The Buller-Podington compact. The romance of a mule-car. The governor-general. Old Applejoy's ghost. Struck by a boomerang. The skipper and El Capitan. "Come in, new year." A sailor's knot. The great staircase at Landover Hall. The ghosts in my toewer. The landsman's tale.--v. 20. Kate Bonnet: the romance of a pirate's daughter.--v. 21. John Gayther's garden.--v. 22. The captain's toll-gate.--v. 23. A bicycle of Cathay. With a memorial sketch of Mr. Stockton and a bibliography of his works.

Variations in seafloor depth estimates under different swath-width characteristics of submarine structures in the California Borderlands

Senior thesis written for Oceanography 445

Microcin J25 has a threaded sidechain-to-backbone ring structure and not a head-to-tail cyclized backbone

Microcin J25 is a 21 amino acid bacterial peptide that has potent antibacterial activity against Gram-negative bacteria, resulting from its interaction with RNA polymerase. The peptide was previously proposed to have a head-to-tail cyclized peptide backbone and a tight globular structure (Blond, A., Peduzzi, J., Goulard, C., Chiuchiolo, M. J., Barthelemy, M., Prigent, Y., Salomon, R. A., Farias, R. N., Moreno, F. & Rebuffat, S. Eur. J. Biochem. 1999, 259, 747-755). It exhibits remarkable thermal stability for a peptide of its size lacking disulfide bonds and in part this was previously proposed to derive from its macrocyclic structure. We show here that in fact the peptide does not have a head-to-tail cyclic structure but rather a side chain to backbone cyclization between Glu8 and the N-terminus. This creates an embedded ring that is threaded by the C-terminal tail of the molecule, forming a noose-like feature. The three-dimensional structure deduced from NMR data suggests that slippage of the noose is prevented by two aromatic residues flanking the embedded ring. Unthreading does not occur even when the molecule is enzymatically digested with thermolysin. The new structural interpretation fully accounts for previously reported NMR and biophysical data and is consistent with the remarkable stability of this potent antimicrobial peptide.

Twists, knots, and rings in proteins: Structural definition of the cyclotide framework

In recent years an increasing number of miniproteins containing an amide-cyclized backbone have been discovered. The cyclotide family is the largest group of such proteins and is characterized by a circular protein backbone and six conserved cysteine residues linked by disulfide bonds in a tight core of the molecule. These form a cystine knot in which an embedded ring formed by two of the disulfide bonds and the connecting backbone segment is threaded by a third disulfide bond. In the current study we have undertaken high resolution structural analysis of two prototypic cyclotides, kalata B1 and cycloviolacin O1, to define the role of the conserved residues in the sequence. We provide the first comprehensive analysis of the topological features in this unique family of proteins, namely rings (a circular backbone), twists (a cis-peptide bond in the Mobius cyclotides) and knots (a knotted arrangement of the disulfide bonds).

Solution structure of the cyclotide palicourein: Implications for the development of a pharmaceutical framework

The cyclotides are a family of disulfide-rich proteins from plants. They have the characteristic structural features of a circular protein backbone and a knotted arrangement of disulfide bonds. Structural and biochemical studies of the cyclotides suggest that their unique physiological stability can be loaned to bioactive peptide fragments for pharmaceutical and agricultural development. In particular, the cyclotides incorporate a number of solvent-exposed loops that are potentially suitable for epitope grafting applications. Here, we determine the structure of the largest known cyclotide, palicourein, which has an atypical size and composition within one of the surface-exposed loops. The structural data show that an increase in size of a palicourein loop does not perturb the core fold, to which the thermodynamic and chemical stability has been attributed. The cyclotide core fold, thus, can in principle be used as a framework for the development of useful pharmaceutical and agricultural bioactivities.

Discovery, structure and biological activities of the cyclotides

The cyclotides are a family of small disulfide rich proteins that have a cyclic peptide backbone and a cystine knot formed by three conserved disulfide bonds. The combination of these two structural motifs contributes to the exceptional chemical, thermal and enzymatic stability of the cyclotides, which retain bioactivity after boiling. They were initially discovered based on native medicine or screening studies associated with some of their various activities, which include uterotonic action, anti-HIV activity, neurotensin antagonism, and cytotoxicity. They are present in plants from the Rubiaceae, Violaceae and Cucurbitaccae families and their natural function in plants appears to be in host defense: they have potent activity against certain insect pests and they also have antimicrobial activity. There are currently around 50 published sequences of cyclotides and their rate of discovery has been increasing over recent years. Ultimately the family may comprise thousands of members. This article describes the background to the discovery of the cyclotides, their structural characterization, chemical synthesis, genetic origin, biological activities and potential applications in the pharmaceutical and agricultural industries. Their unique topological features make them interesting from a protein folding perspective. Because of their highly stable peptide framework they might make useful templates in drug design programs, and their insecticidal activity opens the possibility of applications in crop protection.

The role of the cyclic peptide backbone in the anti-HIV activity of the cyclotide kalata B1

The plant cyclotides, the largest known family of circular proteins, have tightly folded structures and a range of biological activities that lend themselves to potential pharmaceutical and agricultural applications. Based on sequence homology, they are classified into the bracelet and Mobius subfamilies. The bracelet subfamily has previously been shown to display anti-HIV activity. We show here that a member of the Mobius subfamily, kalata B1, also exhibits anti-HIV activity despite extensive sequence differences between the subfamilies. In addition, acyclic permutants of kalata B1 displayed no anti-HIV activity, suggesting that this activity is critically dependent on an intact circular backbone. (C) 2004 Federation of European Biochemical Societies. Published by Elsevier B.V. All rights reserved.

Cyclization of pyrrhocoricin retains structural elements crucial for the antimircobial activity of the native peptide

Pyrrhacoricin is a naturally occurring antimicrobial peptide from the European fire bug Pyrrhocoris apterus. It has submicromolar activity against a range of Gram-negative bacterial strains and has created recent interest as a lead for the development of novel antibiotic compounds. In this study, we have used NMR spectroscopy to determine the solution structures of pyrrhocoricin and a synthetic macrocyclic derivative that has improved in vivo pharmaceutical properties. Native pyrrhocoricin is largely disordered in solution, but there is evidence of a subpopulation with ordered turn regions over residues 2-5, 4-7, and 16-19. The macrocyclic derivative incorporates a nine amino acid linker joining the N- and C-termini, which does not adversely affect the antimicrobial potency but leads to a broader spectrum of activity. The NMR data suggest that the turn conformations in the cyclic derivative are similar to those in the native form, thus implicating them in the biological function. (C) 2004 Wiley Periodicals, Inc.

Capped acyclic permutants of the circular protein kalata B1

The cyclotides are a family of head-to-tail cyclized peptides that display exceptionally high stability and a range of biological activities. Acyclic permutants that contain a break in the circular backbone have been reported to be devoid of the haemolytic activity of the prototypic cyclotide kalata B1, but the potential role of the charges at the introduced termini in this loss of membraneolytic activity has not been fully determined. In this study, acyclic permutants of kalata B1 with capped N- and G termini were synthesized and found to adopt a native fold. These variants were observed to cause no measurable lysis of erythrocytes, strengthening the connection between backbone cyclization and haemolytic activity. (C) 2004 Published by Elsevier B.V. on behalf of the Federation of European Biochemical Societies.

Variations in cyclotide expression in Viola species

Cyclotides, a family of approximately 50 mini-proteins isolated from various Violaceae and Rubiaceae plants, are characterized by their circular peptide backbone and six conserved cysteine residues arranged in a cystine knot motif. Cyclotides show a wide range of biological activities, making them interesting targets for both pharmaceutical and agrochemical research, but little is known about their natural function and the events that trigger their expression. An investigation of the geographical and seasonal variations of cyclotide profiles has been performed, using the native Australian violet, Viola hederacea, and the Swedish sweet violet, Viola odorata, as model plants. The results showed that in the Australian violet the relative peptide levels of some cyclotides remained almost constant throughout the year, while other cyclotides were present only at certain times of the year. Therefore, it appears that V. hederacea expresses a basic armory of cyclotides as well as special add-ons whose levels are influenced by external factors. In the Swedish violet, cyclotide levels were increased up to 14 times during the warmest period of the year. The larger variation in expression levels of the Swedish plants may be a reflection of a greater climatic variation.