952 resultados para Time Dependent Effects


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The motion of a vibrational wave packet in the bound A(^1 \summe^+_u) electronic state of the sodium dimer is detected in a femtosecond pump/probe molecular beam experiment. For short times harmonic motion is seen in the total ion yield of Na^+_2 as a function of delay time between the two laser pulses. The spreading of the wave packet results in the loss of the periodic variation of the ion signal. For longer delay times (47 ps) the wave packet regains its initial form which is reflected in the revival structure of the Na^+_2 signal. Time-dependent quantum calculations reproduce the measured effects.

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We present a comparison between experimental and theoretical results for pump/probe multiphoton ionizing transitions of the sodium dimer, initiated by femtosecond laser pulses. It is shown that the motion of vibrational wavepackets in two electronic states is probed simultaneously and their dynamics is reflected in the total Na^+_2 ion signal which is recorded as a function of the time delay between pump and probe pulse. The time dependent quantum calculations demonstrate that two ionization pathways leading to the same final states of the molecularion exist: one gives an oscillating contribution to the ion signal, the other yields a constant background. From additional measurements of the Na^+ -transient photofragmentation spectrum it is deduced that another ionization process leading to different final ionic states exists. The process includes the excitation of a doubly excitedbound Rydberg state. This conclusion is supported by the theoretical simulation.

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The present thesis is a contribution to the study of laser-solid interaction. Despite the numerous applications resulting from the recent use of laser technology, there is still a lack of satisfactory answers to theoretical questions regarding the mechanism leading to the structural changes induced by femtosecond lasers in materials. We provide here theoretical approaches for the description of the structural response of different solids (cerium, samarium sulfide, bismuth and germanium) to femtosecond laser excitation. Particular interest is given to the description of the effects of the laser pulse on the electronic systems and changes of the potential energy surface for the ions. Although the general approach of laser-excited solids remains the same, the potential energy surface which drives the structural changes is calculated with different theoretical models for each material. This is due to the difference of the electronic properties of the studied systems. We use the Falicov model combined with an hydrodynamic method to study photoinduced phase changes in cerium. The local density approximation (LDA) together with the Hubbard-type Hamiltonian (LDA+U) in the framework of density functional theory (DFT) is used to describe the structural properties of samarium sulfide. We parametrize the time-dependent potential energy surface (calculated using DFT+ LDA) of bismuth on which we perform quantum dynamical simulations to study the experimentally observed amplitude collapse and revival of coherent $A_{1g}$ phonons. On the basis of a time-dependent potential energy surface calculated from a non-orthogonal tight binding Hamiltonian, we perform molecular dynamics simulation to analyze the time evolution (coherent phonons, ultrafast nonthermal melting) of germanium under laser excitation. The thermodynamic equilibrium properties of germanium are also reported. With the obtained results we are able to give many clarifications and interpretations of experimental results and also make predictions.

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The interaction of short intense laser pulses with atoms/molecules produces a multitude of highly nonlinear processes requiring a non-perturbative treatment. Detailed study of these highly nonlinear processes by numerically solving the time-dependent Schrodinger equation becomes a daunting task when the number of degrees of freedom is large. Also the coupling between the electronic and nuclear degrees of freedom further aggravates the computational problems. In the present work we show that the time-dependent Hartree (TDH) approximation, which neglects the correlation effects, gives unreliable description of the system dynamics both in the absence and presence of an external field. A theoretical framework is required that treats the electrons and nuclei on equal footing and fully quantum mechanically. To address this issue we discuss two approaches, namely the multicomponent density functional theory (MCDFT) and the multiconfiguration time-dependent Hartree (MCTDH) method, that go beyond the TDH approximation and describe the correlated electron-nuclear dynamics accurately. In the MCDFT framework, where the time-dependent electronic and nuclear densities are the basic variables, we discuss an algorithm to calculate the exact Kohn-Sham (KS) potentials for small model systems. By simulating the photodissociation process in a model hydrogen molecular ion, we show that the exact KS potentials contain all the many-body effects and give an insight into the system dynamics. In the MCTDH approach, the wave function is expanded as a sum of products of single-particle functions (SPFs). The MCTDH method is able to describe the electron-nuclear correlation effects as the SPFs and the expansion coefficients evolve in time and give an accurate description of the system dynamics. We show that the MCTDH method is suitable to study a variety of processes such as the fragmentation of molecules, high-order harmonic generation, the two-center interference effect, and the lochfrass effect. We discuss these phenomena in a model hydrogen molecular ion and a model hydrogen molecule. Inclusion of absorbing boundaries in the mean-field approximation and its consequences are discussed using the model hydrogen molecular ion. To this end, two types of calculations are considered: (i) a variational approach with a complex absorbing potential included in the full many-particle Hamiltonian and (ii) an approach in the spirit of time-dependent density functional theory (TDDFT), including complex absorbing potentials in the single-particle equations. It is elucidated that for small grids the TDDFT approach is superior to the variational approach.

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An electronic theory is developed, which describes the ultrafast demagnetization in itinerant ferromagnets following the absorption of a femtosecond laser pulse. The present work intends to elucidate the microscopic physics of this ultrafast phenomenon by identifying its fundamental mechanisms. In particular, it aims to reveal the nature of the involved spin excitations and angular-momentum transfer between spin and lattice, which are still subjects of intensive debate. In the first preliminary part of the thesis the initial stage of the laser-induced demagnetization process is considered. In this stage the electronic system is highly excited by spin-conserving elementary excitations involved in the laser-pulse absorption, while the spin or magnon degrees of freedom remain very weakly excited. The role of electron-hole excitations on the stability of the magnetic order of one- and two-dimensional 3d transition metals (TMs) is investigated by using ab initio density-functional theory. The results show that the local magnetic moments are remarkably stable even at very high levels of local energy density and, therefore, indicate that these moments preserve their identity throughout the entire demagnetization process. In the second main part of the thesis a many-body theory is proposed, which takes into account these local magnetic moments and the local character of the involved spin excitations such as spin fluctuations from the very beginning. In this approach the relevant valence 3d and 4p electrons are described in terms of a multiband model Hamiltonian which includes Coulomb interactions, interatomic hybridizations, spin-orbit interactions, as well as the coupling to the time-dependent laser field on the same footing. An exact numerical time evolution is performed for small ferromagnetic TM clusters. The dynamical simulations show that after ultra-short laser pulse absorption the magnetization of these clusters decreases on a time scale of hundred femtoseconds. In particular, the results reproduce the experimentally observed laser-induced demagnetization in ferromagnets and demonstrate that this effect can be explained in terms of the following purely electronic non-adiabatic mechanism: First, on a time scale of 10–100 fs after laser excitation the spin-orbit coupling yields local angular-momentum transfer between the spins and the electron orbits, while subsequently the orbital angular momentum is very rapidly quenched in the lattice on the time scale of one femtosecond due to interatomic electron hoppings. In combination, these two processes result in a demagnetization within hundred or a few hundred femtoseconds after laser-pulse absorption.

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El cisplatí, PtCl2(NH3)2, ha estat una de les drogues més utilitzades en la quimioteràpia del càncer des del descobriment de la seva activitat. Però degut a la seva alta toxicitat i greus efectes secundaris, s'han sintetitzat nous compostos amb la finalitat de reduir aquests inconvenients. En aquest sentit, el treball desenvolupat en aquesta tesi doctoral ha estat la síntesi i caracterització de tretze complexos de Pt(II) amb la finalitat d'estudiar llur activitat antitumoral. Aquests complexos presenten unes característiques estructurals comunes: geometria cis, dos lligands làbils de tipus clorur i un lligand diaminoquelatant derivat dels àcids d,l-2,3-diaminopropiònic (Hdap) i d,l-2,4-diaminobutíric (Hdab). S'han dissenyat unes estratègies sintètiques a partir de les quals els lligands han estat funcionalitzats amb diferents grups de tipus éster, aminoàcid i peptídic: Etdap·2HCl, Etdab·2HCl, [(dap-Metala)·2CF3COOH], [(dab-Metala)·2CF3COOH], [(dap-phe)·2CF3COOH], [(dab-phe)·2CF3COOH], [(dap-Mettrp)·2CF3COOH], [(dab-Mettrp)·2CF3COOH], [(dap-ASTTTNYT-NH2)·2CF3COOH], essent Metala= éster metílic de L-alanina, phe= L-fenilalanina, Mettrp= éster metílic del L-triptofà. Aquests lligands diaminoquelatants s'han utilitzat per sintetitzar els corresponents complexos de Pt(II): PtCl2(Hdap), PtCl2(Hdab), PtCl2(Etdap), PtCl2(Etdab), PtCl2(dap-Metala), PtCl2(dab-Metala), PtCl2(dap-ala), PtCl2(dab-ala), PtCl2(dap-phe), PtCl2(dab-phe), PtCl2(dap-Mettrp), PtCl2(dab-Mettrp), PtCl2(dap-ASTTTNYT-NH2). A través de diferents tècniques i assaigs biològics (dicroisme circular, electroforesi en gel d'agarosa, microscopia de forces atòmiques, citometria de flux, assaigs de proliferació cel·lular) s'ha pogut demostrar l'activitat antitumoral d'aquests compostos. A través de la tècnica de dicroisme circular (DC) s'ha pogut demostrar que els lligands lliures no interaccionen covalentment amb el DNA de Calf Thymus i no modifiquen l'estructura secundària de la doble hèlix. En canvi, els respectius complexos han demostrat tenir capacitat per interaccionar amb el DNA i modificar la seva estructura secundària. Els complexos PtCl2(Hdap), PtCl2(Hdab) i PtCl2(dab-phe) mostren un comportament similar al cisplatí, generant adductes cis-bifuncionals que distorcionen la doble hèlix de forma no desnaturalitzant amb obertura de la doble cadena. Els complexos PtCl2(Etdap), PtCl2(Etdab), PtCl2(dap-ala), PtCl2(dab-ala), PtCl2(dap-Metala), PtCl2(dab-Metala), PtCl2(dap-phe), PtCl2(dap-ASTTTNYT-NH2) quan interaccionen amb el DNA generen un canvi en la conformació del DNA de la forma B a la forma C, produint-se un augment de la curvatura de l'hèlix per rotació de les bases nitrogenades. En aquests estudis s'ha comprovat que l'estructura del complex influeix en l'efecte generat sobre l'estructura secundària de l'àcid nucleic. En primer lloc, existeix una diferència en el comportament en funció del tamany del lligand diaminoquelatant, de manera que els complexos amb el lligand (dab) provoquen un efecte més remarcable. També s'observa aquest canvi de comportament al passar dels complexos que tenen el grup funcional esterificat als que el tenen protonat. D'aquesta manera, s'observa un major efecte sobre l'estructura secundària del DNA en aquells complexos que tenen el lligand diaminoquelatant de tres metilens (dab) i amb el grup carboxilat terminal protonat. Per tal de modelitzar la interacció d'aquests complexos amb el DNA, s'ha estudiat la interacció d'aquests compostos de Pt(II) amb 5'-GMP a través de RMN-1H, observant la variació dels senyals corresponents al H8 de 5'-GMP. Així s'ha pogut demostrar que aquests compostos interaccionen amb la 5'-GMP a través d'un enllaç covalent Pt-N7, de la mateixa manera a com interacciona el cisplatí. A través d'electroforesi en gel d'agarosa i microscopia de forces atòmiques (AFM) s'ha pogut determinar l'efecte que generen els lligands lliures i els respectius complexos de Pt(II) sobre l'estructura terciària del plasmidi pBR322. Els lligands provoquen un augment de l'agregació de les molècules de DNA i un lleuger augment de la compactació de l'estructura terciària. Aquests resultats s'atribueixen a la capacitat d'aquests compostos a interaccionar per pont d'hidrogen amb el DNA. Els corresponents complexos de Pt(II) provoquen un augment de l'agregació i una important compactació, degut per una banda a la capacitat de l'àtom de Pt a interaccionar covalentment amb el DNA, i per altra banda, a la capacitat del lligand a interaccionar per pont d'hidrogen amb l'àcid nucleic. Finalment s'ha estudiat l'activitat citotòxica d'aquests complexos de Pt(II) en diferents línies cel·lulars: A431 (línia de carcinoma epidermoide), HeLa (línia de carcinoma de coll d'úter) i HL-60 (línia promielocítica de leucèmia). Els complexos moderadament solubles en aigua, PtCl2(Hdap), PtCl2(Hdab), PtCl2(dap-ala), PtCl2(dab-ala), PtCl2(dap-phe) i PtCl2(dab-phe), han demostrat ser actius. L'activitat depèn de la concentració de complex, del temps d'incubació i de la línia cel·lular. Per temps d'incubació alts i concentracions de complex elevades s'observa la màxima activitat. Els complexos de l'alanina, PtCl2(dap-ala) i PtCl2(dab-ala), són els que mostren més activitat, mentre que els compostos de la fenilalanina són els menys actius, degut probablement a la voluminositat del lligand, la qual pot impedir o dificultar el transport del compost a través de la membrana cel·lular. L'activitat citotòxica dels complexos insolubles en aigua, PtCl2(Etdap) i PtCl2(Etdab), queda bloquejada per l'elevada concentració de DMSO (12%) necessària per solubilitzar els compostos. Aquests resultats permeten deduir que la presència d'un 12% de DMSO anul·la l'activitat d'aquests complexos, ja que el DMSO pot coordinar-se amb el Pt ocupant les posicions làbils del complex i evitant que es pugui coordinar amb el DNA. Els assaigs de proliferació cel·lular del complex PtCl2(dap-ASTTTNYT-NH2) i del pèptid lliure ASTTTNYT-NH2 han demostrat que ambdós compostos són actius. Tot i això, l'activitat del complex és superior a la del pèptid lliure, ja que el Pt pot interaccionar covalentment amb el DNA i augmentar l'efecte citotòxic. Per tant, el complex presenta un lligand portador biològicament actiu que pot transportar el metall a través de la membrana cel·lular i facilitar així la seva interacció amb el DNA. A través de la tècnica de citometria de flux s'ha comprovat que en tots els casos la mort cel·lular produïda pels complexos ha estat per apoptosi. Per últim, s'ha sintetitzat i caracteritzat un complex trinuclear de Pt(II), {[Pt(Me2Bpy)2][PtCl2(Me2Bpy)]2}, essent Me2Bpy= 4,4'-dimetil-2,2'-dipiridil. La resolució de la seva estructura per difracció de Raig-X ha permès determinar l'existència d'una interacció intramolecular Pt-Pt de 3.474 Å.

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Excessive levels of P in agricultural soils pose a threat to local water quality. This study evaluated (i) time-dependent changes in soil P sorption (expressed as a phosphorus sorption index, PSI) and P availability (as resin P) during incubation (100 d) with poultry litter, cattle slurry, sewage sludge, or KH2PO4, added on a P-equivalent basis (100 mg P kg(-1)), and (ii) the subsequent kinetics of P release, measured by repeated extractions with a mixed cation-anion exchange resin. Soil exchangeable Ca and ammonium oxalate-extractable Fe and Al were also determined at 100 d of incubation. The small decrease in P sorption in the litter and sludge treatments (25%), compared with that in the slurry and KH2PO4 treatments (52%) between 20 and 100 d of incubation was attributed partly to the formation of new adsorption sites for P. Subsequent P release was described by a power equation: Resin P = a(extraction number)(b), where the constants a and b represent resin P obtained with a single extraction and the rate of P release per resin extraction, respectively. On average, the rate of P release decreased in the order: KH2PO4 and slurry > litter > sludge, and was inversely related to exchangeable Ca content of the incubated soils (R-2 = 0.57). The slower rates of P release in the litter and sludge treatments (P < 0.001) are attributed to the large values for exchangeable Ca (1050-2640 and 1070-2710 mg kg(-1), respectively) in these amended soils. Future research concerned with short-term declines in environmentally harmful levels of P in recently amended soils should consider the differential effects of the amendments on soil P dynamics.

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Many recent inverse scattering techniques have been designed for single frequency scattered fields in the frequency domain. In practice, however, the data is collected in the time domain. Frequency domain inverse scattering algorithms obviously apply to time-harmonic scattering, or nearly time-harmonic scattering, through application of the Fourier transform. Fourier transform techniques can also be applied to non-time-harmonic scattering from pulses. Our goal here is twofold: first, to establish conditions on the time-dependent waves that provide a correspondence between time domain and frequency domain inverse scattering via Fourier transforms without recourse to the conventional limiting amplitude principle; secondly, we apply the analysis in the first part of this work toward the extension of a particular scattering technique, namely the point source method, to scattering from the requisite pulses. Numerical examples illustrate the method and suggest that reconstructions from admissible pulses deliver superior reconstructions compared to straight averaging of multi-frequency data. Copyright (C) 2006 John Wiley & Sons, Ltd.

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Epidemiological data suggest that those who consume a diet rich in quercetin-containing foods may have a reduced risk of CVD. Furthermore, in vitro and ex vivo studies have observed the inhibition of collagen-induced platelet activation by quercetin. The aim of the present study was to investigate the possible inhibitory effects of quercetin ingestion from a dietary source on collagen-stimulated platelet aggregation and signalling. A double-blind randomised cross-over pilot study was undertaken. Subjects ingested a soup containing either a high or a low amount of quercetin. Plasma quercetin concentrations and platelet aggregation and signalling were assessed after soup ingestion. The high-quercetin soup contained 69 mg total quercetin compared with the low-quercetin soup containing 5 mg total quercetin. Plasma quercetin concentrations were significantly higher after high-quercetin soup ingestion than after low-quercetin soup ingestion and peaked at 2.59 (SEM 0.42) mu mol/l. Collagen-stimulated (0.5 mu g/ml) platelet aggregation was inhibited after ingestion of the high-quercetin soup in a time-dependent manner. Collagen-stimulated tyrosine phosphorylation of a key component of the collagen-signalling pathway via glycoprotein VI, Syk, was significantly inhibited by ingestion of the high-quercetin soup. The inhibition of Syk tyrosine phosphorylation was correlated with the area under the curve for the high-quercetin plasma profile. In conclusion, the ingestion of quercetin from a dietary source of onion soup could inhibit some aspects of collagen-stimulated platelet aggregation and signalling ex vivo. This further substantiates the epidemiological data suggesting that those who preferentially consume high amounts of quercetin-containing foods have a reduced risk of thrombosis and potential CVD risk.

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The reaction of the redox-active ligand, Hpyramol (4-methyl-2-N-(2-pyridylmethyl)aminophenol) with K2PtCl4 yields monofunctional square-planar [Pt(pyrimol)Cl], PtL-Cl, which was structurally characterised by single-crystal X-ray diffraction and NMR spectroscopy. This compound unexpectedly cleaves supercoiled double-stranded DNA stoichiometrically and oxidatively, in a non-specific manner without any external reductant added, under physiological conditions. Spectro-electrochemical investigations of PtL-Cl were carried out in comparison with the analogue CuL-Cl as a reference compound. The results support a phenolate oxidation, generating a phenoxyl radical responsible for the ligand-based DNA cleavage property of the title compounds. Time-dependent in vitro cytotoxicity assays were performed with both PtL-Cl and CuL-Cl in various cancer cell lines. The compound CuL-Cl overcomes cisplatin-resistance in ovarian carcinoma and mouse leukaemia cell lines, with additional activity in some other cells. The platinum analogue, PtL-Cl also inhibits cell-proliferation selectively. Additionally, cellular-uptake studies performed for both compounds in ovarian carcinoma cell lines showed that significant amounts of Pt and Cu were accumulated in the A2780 and A2780R cancer cells. The conformational and structural changes induced by PtL-Cl and CuL-Cl on calf thymus DNA and phi X174 supercoiled phage DNA at ambient conditions were followed by electrophoretic mobility assay and circular dichroism spectroscopy. The compounds induce extensive DNA degradation and unwinding, along with formation of a monoadduct at the DNA minor groove. Thus, hybrid effects of metal-centre variation, multiple DNA-binding modes and ligand-based redox activity towards cancer cell-growth inhibition have been demonstrated. Finally, reactions of PtL-Cl with DNA model bases (9-Ethylguanine and 5'-GMP) followed by NMR and MS showed slow binding at Guanine-N7 and for the double stranded self complimentary oligonucleotide d(GTCGAC)(2) in the minor groove.

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Possible evidence is presented for Maillard glycation of enzymes during oligosaccharide synthesis by reverse hydrolysis. In 70% (w/v) mannose solutions, 1,2-alpha-mannosidase from Penicillium citrinum lost 40% and alpha-mannosidase from almonds lost 60% activity at 55 degreesC over 2 weeks. Oligosaccharide yields were 15 and 45% respectively. Higher molecular weight glycation adducts were formed in a time-dependent manner as seen by MALDI-TOF. Inhibitors of the Maillard. reaction were able to partially alleviate these effects resulting in reduced loss of enzyme activity and oligosaccharide yield increases of 27-53% relative to the control. (C) 2004 Elsevier B.V. All rights reserved.

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The ability of human postprandial triacylglycerol-rich lipoproteins (TRLs), isolated after meals enriched in saturated fatty acids (SFAs), n-6 PUFAs, and MUFAs, to inhibit the uptake of I-125-labeled LDL by the LDL receptor was investigated in HepG2 cells. Addition of TRLs resulted in a dose-dependent inhibition of heparin-releasable binding, cell-associated radioactivity, and degradation products of I-125-labeled LDL (P < 0.001). SFA-rich Svedberg flotation rate (S-f) 60-400 resulted in significantly greater inhibition of cell-associated radioactivity than PUFA-rich particles (P = 0.016) and total uptake of I-125-labeled LDL compared with PUFA- and MUFA-rich particles (P = 0.02). Normalization of the apolipoprotein (apo)E but not apoC-III content of the TRLs removed the effect of meal fatty acid composition, and addition of an anti-apoE antibody reversed the inhibitory effect of TRLs on the total uptake of I-125-labeled LDL. Real time RT-PCR showed that the SFA-rich Sf 60-400 increased the expression of genes involved in hepatic lipid synthesis (P < 0.05) and decreased the expression of the LDL receptor-related protein 1 compared with MUFAs (P = 0.008). In conclusion, these findings suggest an alternative or additional mechanism whereby acute fat ingestion can influence LDL clearance via competitive apoE-dependent effects of TRL on the LDL receptor.-Jackson, K. G., V. Maitin, D. S. Leake, P. Yaqoob, and C. M. Williams. Saturated fat-induced changes in Sf 60 400 particle composition reduces uptake of LDL by HepG2 cells.

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The activation of presynaptic G protein-coupled receptors (GPCRs) is widely reported to inhibit transmitter release; however, the lack of accessibility of many presynaptic terminals has limited direct analysis of signalling mediators. We studied GPCR-mediated inhibition of fast cholinergic transmission between superior cervical ganglion neurones (SCGNs) in culture. The adrenoceptor agonist noradrenaline (NA) caused a dose-related reduction in evoked excitatory postsynaptic potentials (EPSPs). NA-induced EPSP decrease was accompanied by effects on the presynaptic action potential (AP), reducing AP duration and amplitude of the after-hyperpolarization (AHP), without affecting the pre- and postsynaptic membrane potential. All effects of NA were blocked by yohimbine and synaptic transmission was reduced by clonidine, consistent with an action at presynaptic alpha 2-adrenoceptors. NA-induced inhibition of transmission was sensitive to pre-incubation of SCGNs with pertussis toxin (PTX), implicating the involvement of G alpha(i)/(o)beta y subunits. Expression of G alpha transducin, an agent which sequesters G protein beta gamma (G beta y) subunits, in the presynaptic neurone caused a time-dependent attenuation of NA-induced inhibition. Injection of purified G beta gamma subunits into the presynaptic neurone inhibited transmission, and also reduced the AHP amplitude. Furthermore, NA-induced inhibition was occluded by pre-injection of G beta gamma subunits. The Ca2+ channel blocker Cd2+ mimicked NA effects on transmitter release. Cd2+, NA and G beta gamma subunits also inhibited somatic Ca2+ current. In contrast to effects on AP-evoked transmitter release, NA had no clear action on AP-independent EPSPs induced by hypertonic solutions. These results demonstrate that G beta gamma subunits functionally mediate inhibition of transmitter release by alpha 2-adrenoceptors and represent important regulators of synaptic transmission at mammalian presynaptic terminals.

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The plethora, and mass take up, of digital communication tech- nologies has resulted in a wealth of interest in social network data collection and analysis in recent years. Within many such networks the interactions are transient: thus those networks evolve over time. In this paper we introduce a class of models for such networks using evolving graphs with memory dependent edges, which may appear and disappear according to their recent history. We consider time discrete and time continuous variants of the model. We consider the long term asymptotic behaviour as a function of parameters controlling the memory dependence. In particular we show that such networks may continue evolving forever, or else may quench and become static (containing immortal and/or extinct edges). This depends on the ex- istence or otherwise of certain infinite products and series involving age dependent model parameters. To test these ideas we show how model parameters may be calibrated based on limited samples of time dependent data, and we apply these concepts to three real networks: summary data on mobile phone use from a developing region; online social-business network data from China; and disaggregated mobile phone communications data from a reality mining experiment in the US. In each case we show that there is evidence for memory dependent dynamics, such as that embodied within the class of models proposed here.

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We present molecular dynamics (MD) and slip-springs model simulations of the chain segmental dynamics in entangled linear polymer melts. The time-dependent behavior of the segmental orientation autocorrelation functions and mean-square segmental displacements are analyzed for both flexible and semiflexible chains, with particular attention paid to the scaling relations among these dynamic quantities. Effective combination of the two simulation methods at different coarse-graining levels allows us to explore the chain dynamics for chain lengths ranging from Z ≈ 2 to 90 entanglements. For a given chain length of Z ≈ 15, the time scales accessed span for more than 10 decades, covering all of the interesting relaxation regimes. The obtained time dependence of the monomer mean square displacements, g1(t), is in good agreement with the tube theory predictions. Results on the first- and second-order segmental orientation autocorrelation functions, C1(t) and C2(t), demonstrate a clear power law relationship of C2(t) C1(t)m with m = 3, 2, and 1 in the initial, free Rouse, and entangled (constrained Rouse) regimes, respectively. The return-to-origin hypothesis, which leads to inverse proportionality between the segmental orientation autocorrelation functions and g1(t) in the entangled regime, is convincingly verified by the simulation result of C1(t) g1(t)−1 t–1/4 in the constrained Rouse regime, where for well-entangled chains both C1(t) and g1(t) are rather insensitive to the constraint release effects. However, the second-order correlation function, C2(t), shows much stronger sensitivity to the constraint release effects and experiences a protracted crossover from the free Rouse to entangled regime. This crossover region extends for at least one decade in time longer than that of C1(t). The predicted time scaling behavior of C2(t) t–1/4 is observed in slip-springs simulations only at chain length of 90 entanglements, whereas shorter chains show higher scaling exponents. The reported simulation work can be applied to understand the observations of the NMR experiments.