On the chaotic rotation of a liquid-filled gyrostat via the Melnikov-Holmes-Marsden integral

The non-linear motions of a gyrostat with an axisymmetrical, fluid-filled cavity are investigated. The cavity is considered to be completely filled with an ideal incompressible liquid performing uniform rotational motion. Helmholtz theorem, Euler's angular momentum theorem and Poisson equations are used to develop the disturbed Hamiltonian equations of the motions of the liquid-filled gyrostat subjected to small perturbing moments. The equations are established in terms of a set of canonical variables comprised of Euler angles and the conjugate angular momenta in order to facilitate the application of the Melnikov-Holmes-Marsden (MHM) method to investigate homoclinic/heteroclinic transversal intersections. In such a way, a criterion for the onset of chaotic oscillations is formulated for liquid-filled gyrostats with ellipsoidal and torus-shaped cavities and the results are confirmed via numerical simulations. (c) 2006 Elsevier Ltd. All rights reserved.

Epidermal penetration of a therapeutic peptide by lipid conjugation; Stereo-selective peptide availability of a topical diastereomeric lipopeptide

In inflammatory disorders (e.g. psoriasis), local concentrations of human neutrophil elastase (HNE), also known as polymorphonuclear leukocyte elastase (HLE), possibly overwhelm its natural inhibitors leading to extracellular matrix degradation. Elevated levels of HNE have been reported in a variety of inflammatory disorders, including psoriasis. Peptidic HNE inhibitors have a common hydrophobic sequence (Ala-Ala-Pro-Val). This peptide sequence inhibits HNE competitively; however the stratum corneum presents an effective barrier to the delivery of this tetrapeptide across the skin. The current work investigates the delivery of the modified peptide whereby the tetrapeptide was lipidated to enhance its ability to penetrate the stratum The tetrapeptide Was Coupled to a racaemic mixture of a short chain lipoamino acid (LAA) resulting in two diastereomers of the lipoamino acid-modified tetrapeptide. The penetration of the lipopeptide mixture was assessed across human epidermis in vitro. The percentage of applied dose penetrating to the receptor over 8 h following administration was 2.53% for the D-LAA conjugate and 1.47% for the L-diastereomer, compared to 0% for the peptide. The D-diastereomer appears to be relatively stable but the L-diastereomer appears to degrade releasing possibly the tetrapeptide and peptide fragment(s). Therefore the results clearly indicate that coupling the tetrapeptide to a short chain LAA enhances its delivery across human epidermis.

Determination of chromophore charge states in the low pH color transition of the fluorescent protein Rtms5(H146S) via time-dependent DFT

The red fluorescent protein Rtms5H146S displays a transition from blue (absorbance λmax 590 nm) to yellow (absorbance λmax not, vert, similar453 nm) upon titration to low pH. The pKa of the reaction depends on the concentration of halide, offering promise for new expressible halide sensors. The protonation state involved in the low pH form of the chromophore remains, however, ambiguous. We report calculated excitation energies of different protonation states of an RFP chromophore model. These suggest that the relevant titration site is the phenoxy moiety of the chromophore, and the relevant base and conjugate acid are anionic and neutral chromophore species, respectively.

Dual-symmetric Lagrangians in quantum electrodynamics: I. Conservation laws and multi-polar coupling

By using a complex field with a symmetric combination of electric and magnetic fields, a first-order covariant Lagrangian for Maxwell's equations is obtained, similar to the Lagrangian for the Dirac equation. This leads to a dual-symmetric quantum electrodynamic theory with an infinite set of local conservation laws. The dual symmetry is shown to correspond to a helical phase, conjugate to the conserved helicity. There is also a scaling symmetry, conjugate to the conserved entanglement. The results include a novel form of the photonic wavefunction, with a well-defined helicity number operator conjugate to the chiral phase, related to the fundamental dual symmetry. Interactions with charged particles can also be included. Transformations from minimal coupling to multi-polar or more general forms of coupling are particularly straightforward using this technique. The dual-symmetric version of quantum electrodynamics derived here has potential applications to nonlinear quantum optics and cavity quantum electrodynamics.

Lipidation and glycosylation of a T cell antigen receptor (TCR) transmembrane hvdrophobic peptide dramatically enhances in vitro and in vivo function

A T cell antigen receptor (TCR) transmembrane sequence derived peptide (CP) has been shown to inhibit T cell activation both in vitro and in vivo at the membrane level of the receptor signal transduction. To examine the effect of sugar or lipid conjugations on CP function, we linked CP to 1-aminoglucosesuccinate (GS), N-myristate (MYR), mono-di-tripalmitate (LP1, LP2, or LP3), and a lipoamino acid (LA) and examined the effects of these compounds on T cell activation in vitro and by using a rat model of adjuvant-induced arthritis, in vivo. In vitro, antigen presentation results demonstrated that lipid conjugation enhanced CP's ability to lower IL-2 production from 56.99% +/- 15.69 S.D. observed with CP, to 12.08% +/- 3.34 S.D. observed with LA. The sugar conjugate GS resulted in only a mild loss of in vitro activity compared to CP (82.95% +/- 14.96 S.D.). In vivo, lipid conjugation retarded the progression of adjuvant-induced arthritis by approximately 50%, whereas the sugar. conjugated CP, GS, almost completely inhibited the progression of arthritis. This study demonstrates that hydrophobic peptide activity is markedly enhanced in vitro and in vivo by conjugation to lipids or sugars. This may have practical applications in drug delivery and bioavailability of hydrophobic peptides. (c) 2006 Elsevier B.V. All rights reserved.

Time trials on second-order and variable-learning-rate algorithms

The performance of seven minimization algorithms are compared on five neural network problems. These include a variable-step-size algorithm, conjugate gradient, and several methods with explicit analytic or numerical approximations to the Hessian.

Data assimilation for precipitation nowcasting using Bayesian inference

This work introduces a new variational Bayes data assimilation method for the stochastic estimation of precipitation dynamics using radar observations for short term probabilistic forecasting (nowcasting). A previously developed spatial rainfall model based on the decomposition of the observed precipitation field using a basis function expansion captures the precipitation intensity from radar images as a set of ‘rain cells’. The prior distributions for the basis function parameters are carefully chosen to have a conjugate structure for the precipitation field model to allow a novel variational Bayes method to be applied to estimate the posterior distributions in closed form, based on solving an optimisation problem, in a spirit similar to 3D VAR analysis, but seeking approximations to the posterior distribution rather than simply the most probable state. A hierarchical Kalman filter is used to estimate the advection field based on the assimilated precipitation fields at two times. The model is applied to tracking precipitation dynamics in a realistic setting, using UK Met Office radar data from both a summer convective event and a winter frontal event. The performance of the model is assessed both traditionally and using probabilistic measures of fit based on ROC curves. The model is shown to provide very good assimilation characteristics, and promising forecast skill. Improvements to the forecasting scheme are discussed

Soft hydrogels from nanotubes of poly(ethylene oxide)−tetraphenylalanine conjugates prepared by click chemistry

A new poly(ethylene oxide)-tetraphenylalanine polymer-peptide conjugate has been prepared via a “click” reaction between an alkyne-modified peptide and an azide-terminated PEO oligomer. Self-assembled nanotubes are formed after dialysis of a THF solution of this polymer-peptide conjugate against water. The structure of these nanotubes has been probed by circular dichroism, IR, TEM, and SAXS. From these data, it is apparent that self-assembly involves the formation of antiparallel ß-sheets and p-p-stacking. Nanotubes are formed at concentrations between 2 and 10 mg mL-1. Entanglement between adjacent nanotubes occurs at higher concentrations, resulting in the formation of soft hydrogels. Gel strength increases at higher polymer-peptide conjugate concentration, as expected.

The effect of PEO length on the self-assembly of poly(ethylene oxide)−tetrapeptide conjugates prepared by “click” chemistry

Two series of poly(ethylene oxide)-tetrapeptide conjugates have been prepared using a “Click” reaction between an alkyne-modified tetra(phenylalanine) or tetra(valine) and various azide-terminated poly(ethylene oxide) (PEO) oligomers. Three different PEO precursors were used to prepare these conjugates, with number-average molecular weights of 350, 1200, and 1800 Da. Assembly of mPEO-F4-OEt and mPEO-V4-OEt conjugates was achieved by dialysis of a THF solution of the conjugate against water or by direct aqueous rehydration of a thin film. The PEO length has a profound effect on the outcome of the self-assembly, with the F4 conjugates giving rise to nanotubes, fibers, and wormlike micelles, respectively, as the length of the PEO block is increased. For the V4 series, the propensity to form ß-sheets dominates, and hence, the self-assembled structures are reminiscent of those formed by peptides alone, even at the longer PEO lengths. Thus, this systematic study demonstrates that the self-assembly of PEO-peptides depends on both the nature of the peptides and the relative PEO block length.

Using interior point algorithms for the solution of linear programs with special structural features

Linear Programming (LP) is a powerful decision making tool extensively used in various economic and engineering activities. In the early stages the success of LP was mainly due to the efficiency of the simplex method. After the appearance of Karmarkar's paper, the focus of most research was shifted to the field of interior point methods. The present work is concerned with investigating and efficiently implementing the latest techniques in this field taking sparsity into account. The performance of these implementations on different classes of LP problems is reported here. The preconditional conjugate gradient method is one of the most powerful tools for the solution of the least square problem, present in every iteration of all interior point methods. The effect of using different preconditioners on a range of problems with various condition numbers is presented. Decomposition algorithms has been one of the main fields of research in linear programming over the last few years. After reviewing the latest decomposition techniques, three promising methods were chosen the implemented. Sparsity is again a consideration and suggestions have been included to allow improvements when solving problems with these methods. Finally, experimental results on randomly generated data are reported and compared with an interior point method. The efficient implementation of the decomposition methods considered in this study requires the solution of quadratic subproblems. A review of recent work on algorithms for convex quadratic was performed. The most promising algorithms are discussed and implemented taking sparsity into account. The related performance of these algorithms on randomly generated separable and non-separable problems is also reported.

Synthesis of triplex-forming oligonucleotide conjugates of the anticancer drug temodal

Covalent attachment of the anticancer drugs temozolomide (Temodal) and mitozolomide to triplex-forming oligonucleotides (TFOs) is a potential way of targeting these alkylating agents to specific gene sequences to maximise site-selectivity. In this work, polypyrimidine TFO conjugates of both drugs were synthesised and targeted to duplex DNA in an attempt to effect site-specific alkylation of guanine residues. Concurrently, in an attempt to enhance the triple helix stability of TFOs at neutral pH, the thermal stabilities of triplexes formed from TFOs containing isoguanine, 2-O-benzyl- and 2-O-allyl-adenine were evaluated. A novel cleavage and deprotection procedure was developed which allowed for the solid phase synthesis of the base-sensitive TFO-drug conjugates using a recently developed silyl-linked controlled pore glass (SLCPG) support. Covalent attachment of either temozolomide or mitozolomide at the 5'-end of TFO conjugates caused no destabilisation of the triplexes studied. The synthesis of a phosphoramidite derivative of mitozolomide enabled direct incorporation of this reagent into a model sequence during DNA synthesis. After cleavage and deprotection of the TFO-drug conjugate, the 5'-end mitozolomide residue was found to have decomposed presumably as a result of ring-opening of the tetrazinone ring. The base-sensitive antibacterial and antitumour agent, metronidazole, was also successfully incorporated at the 5'-end of the oligonucleotide d(T8) using conventional methods. Two C2-substituted derivatives of 2'-deoxyadenosine containing 2-O-benzyl and 2-O-allyl groups were synthesised. Hydrogenolysis of the 2-O-benzyl analogue provided a useful route, amenable to scale-up, for the synthesis of the rare nucleoside 2'-deoxyisoguanosine (isoG). Both the 2-O-allyl and 2-O-benzyl derivatives were incorporated into TFO sequences using phosphoramidite methodology. Thermal melting experiments showed that the 2-O-allyl and 2-O-benzyl groups caused marked destabilisation of the triple helices studied, in contrast to hexose-DNA duplexes, where aralkyl substituents caused significant stabilisation of duplexes. TFOs containing isoG were synthesised by Pd(O)-catalysed deallylation of 2-0-allyl adenine residues. These sequences containing isoG, in its N3- or 02-H tautomeric form, formed triple helices which were equally as stable as those containing adenine.

Delivery and stability of antisense oligonucleotide conjugates in vitro

The efficacy of antisense oligonucleotide (ODN) therapy is dependent on four major parameters: delivery to cells, intracellular stability and localisation and efficient action at the target site.The aim of this project was to study the delivery of ODNs to macrophages and to assess the stability of two ODN conjugates, in vitro. The first conjugate aimed to improve uptake of ODNs via mannose receptor mediated delivery, the second investigated the improved delivery of ODN conjugates via non-specific lipophilic interaction with the cell membrane. A mono-mannose phosphoramidite derivative was designed and synthesised and a mono-mannose ODN conjugate synthesised by standard phosphoramidite chemistry. Delivery of this conjugate was enhanced to RAW264.7 and J774 macrophage cell lines via a mechanism of receptor mediated endocytosis. The delivery of three lipophilic ODN conjugates, cholesterol (cholhex), 16-carbon alkyl chain (C16) and hexa-ethylene glycol (HEG) moieties and an unconjugated ODN were assessed in RAW264.7 macrophages. All three conjugates increased the lipophilicity of the ODN as assessed from partition coefficient data. Both the cholhex and unconjugated ODNs were found to have higher degrees of cellular association than the C16 and HEG conjugates. Cellular uptake studies implicated internalisation of these ODNs by an adsorptive endocytosis mechanism. Following endocytosis, ODNs must remain stable during their residence in endosomal/lysosomal compartments prior to exiting and exerting their biological action in either the cytosol or nucleus. Assessment of in vitro stability in a lysosomal extract revealed the cholhex conjugate and unconjugated ODNs to have a longer half-life than the C16 and HEG conjugated ODNs, highlighting the influence of conjugate moieties on lysosomal stability. The effects of base composition and length on stability in a lysosomal extract revealed the longest half-life for homo-cytidine ODNs and ODNs over 20 nucleotides in length. These studies suggest that the above conjugates can enhance cellular association and delivery of antisense ODNs to cultured macrophages. This may lead to their use in treating disorders such as HIV infection, which affects this cell type.

Design, synthesis and evaluation of cyclothialidine analogues as DNA gyrase inhibitors

Cyclothialidine, a natural product isolated from Streptomyces .filipinensis NR0484, has been proven to be a potent and selective inhibitor of the bacterial enzyme DNA gyrase. Gyrase inhibition results in cell death, the enzyme being the target of several currently used antibiotics. Cyclothialidine showed poor activity against whole bacterial cells, highlighting scope for improvement regarding cell membrane pemeability in order for the full potential of this new class of antibiotics to be realised, Structurally, cyclothialidine contains a 12-membered lactone ring which is partly integrated into a pentapeptide chain, with a substituted aromatic moiety bordering the lactone, Retrosynthetically it can be traced back to cis-3-hydroxyproline, 3,5-dihydroxy-2,6-dimethylbenzoic acid and four commercially available amino acids; two serine, one cysteine and one alanine. In this work, a model of cyclothialidine was synthesised in order to establish the methodology for more complex compounds. Analogues with hydroxy, dihydroxy and dihydroxymethyl substituted aromatic moieties were then prepared to ensure successful protection methods could be performed and the pharmacophore synthesised. The key aromatic moiety, 2,6-dimethyl-3,5-dihydroxybenzoic acid was produced via two successive Mannich reaction/reduction steps. Acid protection using 4-nitrobenzyl bromide and TBDMS hydroxyl protection followed by bromination of one methyl afforded the desired intermediate. Reaction with a serine/cysteine dipeptide, followed by deprotection and cyclisation under Mitsunobu conditions lead to the 12-membered lactone. An amine substituted aromatic analogue and also replacement of the cysteine sulphur by oxygen were attempted but without success. In an effort to improve cell permeability, a conjugate was synthesised between the pharmacophore and a cholesterol moiety. It was hoped the steroid fragment would serve to increase potency by escorting the molecule through the lipid environment of the cell membrane. The pharmacophore and conjugate were tested against a variety of bacterial strains but the conjugate failed to improve activity.

Delivery of phosphonoformate prodrugs

AIDS dementia complex is a common neurological syndrome thought to result from the invasion of the CNS by HIV. Phosphonoformate has anti-HIV activity but due to its charged nature is excluded from the CNS by the blood-brain barrier. Lipophilic triesters of phosphonoformate designed to improve transport properties are unsuitable prodrugs due to their rapid and complicated hydrolysis, involving competitive P-O and P-C bond cleavage. Diesters, though hydrolytically stable, are considered too polar to passively diffuse into the CNS. Hydrophilic drugs mimicking endogenous nutrients are known to be actively transported across the blood-brain barrier. In this thesis the possibility that diesters of phosphonoformate may be actively transported is investigated. Triesters of phosphonoformate with labile aryl carboxyl esterrs were synthesised and their hydrolysis followed by 31P NMR spectroscopy. The triesters were found to undergo rapid hydrolysis via P-C bond cleavage to the phosphite. Phosphonoformate diesters designed to be analogues of actively transported -keto acids have been synthesised and fully characterised. Tyrosine-phosphonoformate and lipid-phosphonoformate conjugates have also been synthesised and characterised. An in vitro model of the blood-brain barrier utilising confluent monolayers of porcine brain microvessel endothelial cells grown on a permeable support has been established. The presence of enzyme and antigen markers specific to the blood-brain barrier has been demonstrated for the endothelial cells and the diffusional properties of the model investigated with hydrophilic and lipophilic compounds. Active transport systems for -keto acids and large amino acids have been identified in the endothelial cell monolayers using 14C-pyruvate and 3H-L-tyrosine respectively. Temperature and concentration dependence of the two systems have been demonstrated and transport constants calculated. Competition with 14C-pyruvate transport was shown with other monocarboxylic acids including the anti-epileptic drug valproate. Stereospecificity was shown in that L-lactate inhibited pyruvate transport while D-lactate did not. Sodium methyl methoxycarbonylphosphonate, a phosphonoformate diester was shown not to compete for 14C-pyruvate transport indicating that this compound has no affinity for the carrier. Competition with 3H-L-tyrosine transport was shown with other large amino acids, including the anti-Parkinsonian agent L-dopa. Stereospecificity was shown using L- and D-tyrosine and L- and D-dopa. The tyrosine-phosphonoformate conjugate, which was stable under the experimental conditions, was shown to compete with 3H-Ltyrosine transport indicating that it may be actively transported at the blood-brain barrier. Thirty two triesters, diesters and monoesters of phosphonoformate, showed no activity in an anti-HIV screen above that attributable to hydrolysis to the parent compound.

The role of metabolism in the toxicity of N-alkylformamides

Using ionspray tandem mass spectrometry the glutathione conjugate SMG was identified as a biliary metabolite of DMF in rats (0.003% of a dose of 5OOmg/kg DMF i.p.). Formation of this metabolite was increased five fold after induction of CYP2E1 by acetone, and was inhibited to 20% of control values following pretreatment with disulfrram. Generation of SMG from DMF in vivo was shown to exhibit a large kinetic deuterium isotope effect (KWKD=10.1 ± 1.3), which most likely represents the product of 2 discrete isotope effects on N-demethylation and formyl oxidation reactions.The industrial solvent N,N-dimethylformamide (DMF) and the investigational anti-tumour agent N-methylformamide (NMF) cause liver damage in rodents and humans. The hepatotoxicity of N-alkylformamides is linked to their metabolism to N-alkylcarbamic acid thioesters. The enzymatic details of this pathway were investigated. Hepatocytes isolated from BALB/c mice which had been pretreated with acetone, an inducer of the cytochrome P-450 isozyme CYP2E1, were incubated with NMF (10mM). NMF caused extensive toxicity (> 90% ) as determined by lactate dehydrogenase (LDH) release, compared to cells from untreated animals. Incubation of liver cells with NMF for 6 hrs caused 60±17% LDH release whilst in the presence of DMSO (10mM), an alternative substrate for CYP2E1, LDH release was reduced to 20±10% . The metabolism of NMF to S-(N-methylcarbamoyl)glutathione (SMG) was measured in incubates with liver microsomes from mice, rats or humans. Metabolism of NMF was elevated in microsomes isolated from rats and mice pretreated with acetone, by 339% and 183% respectively. Pretreatment of animals with 4-methylpyrazole induced the metabolism of NMF to 280% by rat microsomes, but was without effect on NMF metabolism by mouse microsomes. The CYP2E1 inhibitors or alternative substrates diethyl dithiocarbamate (DEDTC), p-nitrophenol (PNP) and dimethyl sulphoxide (DMSO) strongly inhibited the metabolism of NMF in suspensions of rat liver microsomes, at concentrations which did not effect aminopyrine N-demethylation. The rate of metabolism of NMF to SMG in human microsomes correlated (r> 0.8) with the rate of metabolism of chlorzoxazone, a CYP2E1 probe. A polyclonal antibody against rat CYP2E1 (10mg/nmol P-450) inhibited NMF metabolism in microsomes from rats and humans by 75% and 80% , respectively. The amount of immunoblottable enzyme in human microsomes, determined using an anti-rat CYP2E1 antibody, correlated with the rate of NMF metabolism (r> 0.8). Purified rat CYP2E1 catalysed the generation of SMG from NMF. Formation of the DMF metabolite N-hydroxymethyl-N-methylformamide (HMMF) in incubations with rat liver microsomes was elevated by 200% following pretreatment of animals with acetone. Co-incubation with DEDTC (100μM) inhibited HMMF generation from DMF by 88% . Co-incubation of DMF (10mM) with NMF (1mM) inhibited the formation of SMG by 95% . A polyclonal antibody against rat CYP2E1 (10mg/nmol P-450) inhibited generation of HMMF in incubates with rat and human liver microsomes by 68.4% and 67.5% , respectively. Purified rat CYP2E1 catalysed the generation of HMMF from DMF. Using ionspray tandem mass spectrometry the glutathione conjugate SMG was identified as a biliary metabolite of DMF in rats (0.003% of a dose of 5OOmg/kg DMF i.p.). Formation of this metabolite was increased five fold after induction of CYP2E1 by acetone, and was inhibited to 20% of control values following pretreatment with disulfrram. Generation of SMG from DMF in vivo was shown to exhibit a large kinetic deuterium isotope effect (KHKD=10.1 ± 1.3), which most likely represents the product of 2 discrete isotope effects on N-demethylation and formyl oxidation reactions.