An Application of 3-D Kinematical Conservation Laws: Propagation of a 3-D Wavefront

Three-dimensional (3-D) kinematical conservation laws (KCL) are equations of evolution of a propagating surface Omega(t) in three space dimensions. We start with a brief review of the 3-D KCL system and mention some of its properties relevant to this paper. The 3-D KCL, a system of six conservation laws, is an underdetermined system to which we add an energy transport equation for a small amplitude 3-D nonlinear wavefront propagating in a polytropic gas in a uniform state and at rest. We call the enlarged system of 3-D KCL with the energy transport equation equations of weakly nonlinear ray theory (WNLRT). We highlight some interesting properties of the eigenstructure of the equations of WNLRT, but the main aim of this paper is to test the numerical efficacy of this system of seven conservation laws. We take several initial shapes for a nonlinear wavefront with a suitable amplitude distribution on it and let it evolve according to the 3-D WNLRT. The 3-D WNLRT is a weakly hyperbolic 7 x 7 system that is highly nonlinear. Here we use the staggered Lax-Friedrichs and Nessyahu-Tadmor central schemes and have obtained some very interesting shapes of the wavefronts. We find the 3-D KCL to be suitable for solving many complex problems for which there presently seems to be no other method capable of giving such physically realistic features.

Crystal and molecular structure of the ammonium salt of the dinucleoside monophosphate d(CpG)

The crystal and molecular structure of the ammonium salt of deoxycytidylyl-(3'-5')-deoxyguanosine has been determined from 0.85 A resolution single crystal X-ray diffraction data. The crystals obtained by acetone diffusion technique at -20 degrees C, are orthorhombic, P212121, a = 12.880(2), b = 17444(2) and c = 27.642(2) A. The structure was solved by high resolution Patterson and Fourier methods and refined to R = 0.136. There are two d(CpG) molecules in the asymmetric unit forming a mini left handed Z-DNA helix. This is in contrast to the earlier reported forms of d(CpG) where the molecules form self base paired duplexes. There are two ammonium ions in the asymmetric unit. The major groove NH+4 ion interacts with N7 of guanines through water bridges besides making H-bonded interactions directly with the phosphate oxygen atoms. A second NH+4 ion is found in the minor groove interacting directly with the phosphate oxygen atoms. Symmetry related molecules pack in such a way that the cytosine base stacks on cytosine and guanine base on guanine. Our structure demonstrates that alternating d(CpG) sequences have the ability to adopt the left handed Z-DNA structure even at the dimer level i.e., in a sequence which is only two base pairs long.

Interaction of water molecules in non-identical protein structures

The interaction of the protein atoms with the surrounding water oxygen atoms has been computed for 392 protein chains from 369 protein structures belonging to 90% non-homologous high resolution (<= 1.5 angstrom) protein Structures with a crystallographic R-factor <= 20%. The percentage composition of the polar atoms is found to be 36.3%. An average of 82.55% of water oxygen atoms are found to be in the primary hydration shell and 15.12% in the secondary hydration shell. The average Percentage of interactions of water oxygen atoms with the polar atoms of the main chain and side chain are 54% and 46%. respectively. The interaction of the acidic residues, aspartate and glutamate, with the water oxygen atoms is more when compared to that of the other residues.

The biosynthesis of sulfoquinovosyldiacylglycerol: Studies with groundnut (Arachis hypogaea) leaves

The biosynthetic pathway of Sulfoquinovosyldiacylglycerol (SQDG) was investigated using groundnut (Arachis hypogaea) leaf discs and 35S-labeled precursors. [35S]SO2−4 was actively taken up by the leaf discs and rapidly incorporated into SQDG. After 2 h, 1.5% of the [35S]SO2−4 added to the incubation medium was taken up, of which 28% was incorporated into SQDG. The methanol-water phases of the lipid extracts of the leaf discs were analyzed for the 35S-labeled intermediates. Up to 2 h of incubation, cysteic acid, 3-sulfopyruvate, 3-sulfolactate, 3-sulfolactaldehyde, and sulfoquinovose (SQ) which have been proposed as intermediates [Davies et al. (1966) Biochem. J. 98, 369–373] were not labeled. Only a negligible amount of radioactivity was observed in these compounds after incubation for 4 h and more. Addition of sodium molybdate inhibited the uptake of [35S]SO2−4 as well as its incorporation into SQDG by the leaf discs, suggesting that 3′-phosphoadenosine-5′-phosphosulfate may be involved in the biosynthesis of SQDG. Addition of unlabeled cysteic acid to the incubation medium enhanced the uptake of [35S]SO2−4 but did not affect its incorporation into SQDG. 35S-labeled cysteic acid was taken up by the leaf discs and metabolized to sulfoacetic acid but not incorporated into SQ or SQDG. These results show that cysteic acid is not an intermediate in SQDG biosynthesis. [35S]SQ was taken up by the leaf discs and incorporated into SQDG in a time-dependent manner. [35S]Sulfoquinovosylglycerol was also taken up by the leaf discs but not incorporated into SQDG. It is concluded that SQDG is not biosynthesized by the proposed sulfoglycolytic pathway in higher plants. Though [35S]SQ was converted to SQDG, the rates are much lower compared to [35S]SO2−4 incorporation, which suggests that a more direct pathway involving sulfonation of a lipid precursor may exist in higher plants.

Isolation and characterization of heat-stable allergens from shrimp (Penaeus indicus)

Shrimp are among the more common causes of immediate hypersensitivity reactions to food. To characterize better the allergenic substances within shrimp, extracts from heated shrimp were systematically examined with solid-phase radioimmunoassay and sera from patients clinically sensitive to shrimp. Two heat-stable protein allergens, designated as Sa-I and Sa-II, were identified from boiled shrimp (Penaeus indicus) extracts. Sa-I was isolated by ultrafiltration, Sephadex G-25, and diethylaminoethyl-Sephacel chromatography, whereas Sa-II, the major allergen, was purified by successive chromatography on diethylaminoethyl-Sephacel, Bio-Gel P-200, and Sepharose 4B columns. Sa-I, which was homogeneous by polyacrylamide gel electrophoresis (PAGE), elicited a single band on sodium dodecyl sulfate-PAGE corresponding to a molecular weight of 8.2 kd. Sa-II was also found to be homogeneous by PAGE, crossed immunoelectrophoresis, and immunoblotting. On sodium dodecyl sulfate-PAGE, it elicited a single band with a molecular weight of 34 kd. Sa-II was found to contain 301 amino acid residues and was particularly rich in glutamate/glutamine and aspartate/asparagine. Solid-phase radioimmunoassay-inhibition studies revealed that Sa-I and Sa-II share 54% of the allergenic epitopes, suggesting that Sa-I may be a fragment of Sa-II.SDS-PAGE, Sodium dodecyl sulfate-polyacrylamide gel electrophoresis; MW, Molecular weight; BSA, Bovine serum albumin; DEAE, Diethylaminoethyl; SPRIA, Solid-phase radioimmunoassay; CIE, Crossed immunoelectrophoresis .

Fin de millénaire eli maailmanlopun satiiri : Frédéric Beigbederin Au secours pardon, Marie Darrieussecqin Truismes ja Michel Houellebecqin La Possibilité d'une île

Pro gradu -työni käsittelee ranskalaisen nykykirjallisuuden yhteiskunnallista suuntausta, jota kirjallisuudentutkija Ruth Cruickshank kutsuu fin de millénaire -kirjallisuudeksi. Tutkimani teokset ovat Frédéric Beigbederin Au secours pardon (2007), Marie Darrieussecqin Truismes (1996) ja Michel Houellebecqin La Possibilité d'une île (2005). Pohdin, millaisena ja millaisin keinoin teokset kuvaavat seksuaalisuutta ja sen tulevaisuudennäkymiä kulutusyhteiskunnassa, ja millaisiin yhteiskunnallisiin olosuhteisiin niiden havainnot perustuvat. Hahmottelen reittejä, joita pitkin globaalin mittakaavan yhteiskunnalliset muutokset vaikuttavat ihmisten intiimeihin tunteisiin ja ihmissuhteisiin. Seksuaalisuuden tarkastelun avulla osoitan, että ranskalaisessa nykykirjallisuudessa ilmenee varsin yhteneviä näkemyksiä ja uhkakuvia aikamme sosiaalisesta todellisuudesta. Tällä tavoin tarkennan ja vankennan vielä hajanaista fin de millénaire -käsitettä. Fin de millénaire -kirjallisuuden oma lajityyppi on massakulttuurin, esimerkiksi viihteen ja mainosten, kielestä vaikutteita ammentava dystopian ja satiirin liitto. Kuten Cruickshank kirjoittaa, fin de millénaire -kirjallisuus heijastaa Ranskassa vuosituhannen vaihteessa korostunutta tunnetta käännekohtaan saapumisesta. Dystopian ohella voidaankin puhua myös apokalyptisesta tekstistä, etenkin siksi, että teokset tarjoavat niukasti ratkaisuja kuvaamiinsa ongelmiin. Eritoten Houellebecqin ja Beigbederin teokset käsittelevät tarpeiden luomista kuluttajille seksuaalivietin ja seksuaalisen kilpailun avulla. Kutsun tätä järjestelmää halutaloudeksi, ja käytän sen toiminnan analysoimisessa apuna Michel Foucault'n käsityksiä vallasta ja Jean Baudrillardin käsityksiä kulutusyhteiskunnasta. Halutalouden sosiaalisia seurauksia ovat vieraantuminen, seksuaalisten hierarkioiden jyrkentyminen ja valinnanvapauden kaventuminen. Teosten kuvaamassa yhteiskunnassa erilaiset esimerkiksi sukupuolen, iän ja ulkonäön perusteella rakentuvat seksuaaliset hierarkiat käyvät yhä merkittävämmiksi. Au secours pardon ja La Possibilité d'une île kuvaavat tapahtumaketjua, jossa etenkin heteromiehistä yhä useampi luisuu seksuaaliseen kurjuuteen muun muassa naisten emansipaation sekä yleisen nuoruuden ja kauneuden palvonnan myötä. Truismesissa taas kuvitellaan yhteiskunta, johon feminismi ei ole päässyt vaikuttamaan mutta pornoistuminen on; naisten ruumiista on tullut miesten yhteistä omaisuutta ja seksuaalinen väkivalta on arkipäivää. Sen maailmassa viehättävä ulkonäkö on naisille miltei elinehto. Yleistäen Houellebecqin ja Beigbederin teokset edustavat miesnäkökulmaa ja Darrieussecqin teos naisnäkökulmaa. Teosten näkemyksiä naisten ja miesten välisistä valtasuhteista pohdin naisten seksuaalisesta vallasta kirjoittaneen Henry Laasasen käyttökelpoisten käsitteiden avulla. Kolmea teosta yhdistävät kuvaukset kulttuurista, jossa ihmissuhteet ovat kaupankäyntiä ja seksuaalinen viehätysvoima määrittelee ihmisen arvon. Darrieussecqin teos on lähitulevaisuuteen sijoittuva dystopia, jossa Beigbederin ja Houellebecqin kuvaama arvoliberalismia ja taloudellista liberalismia yhdistävä kulttuuri on vaihtunut uuskonservatiiviseen ja kaksinaismoralistiseen, naisia räikeästi sortavaan yhteiskuntaan. Teoksen kertoja vähättelee itseensä kohdistuvia koskemattomuuden loukkauksia ja pahoittelee kertomuksensa käänteiden säädyttömyyttä varsinkin kuvatessaan omaa haluaan ja seksuaalista subjektiuttaan. Katson teoksen kritisoivan kirjallisuudentutkija Shirley Ann Jordanin termein poliittisen korrektiuden tyranniaa ja peräänkuuluttavan suoraa puhetta pornografiasta ja naisen halusta. Seksuaalisuus toimii tutkimuksessani lähtökohtana, jonka avulla teoksista nousee esiin julma ja rakkaudeton, säälimättömän kilpailun ja väkivallan täyttämä yhteiskunta. Viime kädessä teosten kuvaama maailmanloppu on se, että rakkaus katoaa ihmisten välisistä suhteista, koska rakkaudessa ei ole voiton tavoittelun kannalta mitään järkeä. Satiirin keinojen, kuten päättymättömän ja monikerroksisen ironian, yhdistyminen dystopiaan pelastaa teokset osoittelevalta moralisoinnilta ja tekee niistä toimivaa yhteiskunnallista kirjallisuutta.

Mechanism of interaction of O-amino-D-serine with sheep liver serine hydroxymethyltransferase

The mechanism of interaction of 0-amino-D-serine (OADS) with sheep liver serine hydroxymethyltransferase (EC 2.1.2.1) (SHMT) was established by measuring changes in the enzyme activity,absorption spectra, circular dichroism (CD) spectra, and stopped-flow spectrophotometry. OADS was a reversible noncompetitive inhibitor (Ki = 1.8 pM) when serine was the varied substrate. The first step in the interaction of OADS with the enzyme was the disruption of enzyme-Schiff base, characterized by the rapid disappearance of absorbance at 425 nm (6.5 X lo3 M-' s-') and CD intensity at 430 nm. Concomitantly,there was a rapid increase in absorbance and CD intensity at 390 nm. The spectral properties of this intermediate enabled its identification as pyridoxal 5'-phosphate (PLP). These changes were followed by a slow unimolecular step (2 X s-') leading to the formation of PLP-OADS oxime, which was confirmed by its absorbance and fluorescence spectra and retention time on high-performance liquid chromatography. The PLP-OADS oxime was displaced from the enzyme by the addition of PLP as evidenced by the restoration of complete enzyme activity as well as by the spectral properties. The unique feature of the mechanism proposed for the interaction of OADS with sheep liver SHMT was the formation of PLP as an intermediate.

Search on a hypercubic lattice using a quantum random walk. I. d > 2

Random walks describe diffusion processes, where movement at every time step is restricted to only the neighboring locations. We construct a quantum random walk algorithm, based on discretization of the Dirac evolution operator inspired by staggered lattice fermions. We use it to investigate the spatial search problem, that is, to find a marked vertex on a d-dimensional hypercubic lattice. The restriction on movement hardly matters for d > 2, and scaling behavior close to Grover's optimal algorithm (which has no restriction on movement) can be achieved. Using numerical simulations, we optimize the proportionality constants of the scaling behavior, and demonstrate the approach to that for Grover's algorithm (equivalent to the mean-field theory or the d -> infinity limit). In particular, the scaling behavior for d = 3 is only about 25% higher than the optimal d -> infinity value.

Search on a hypercubic lattice using a quantum random walk. II. d = 2

We investigate the spatial search problem on the two-dimensional square lattice, using the Dirac evolution operator discretized according to the staggered lattice fermion formalism. d = 2 is the critical dimension for the spatial search problem, where infrared divergence of the evolution operator leads to logarithmic factors in the scaling behavior. As a result, the construction used in our accompanying article A. Patel and M. A. Rahaman, Phys. Rev. A 82, 032330 (2010)] provides an O(root N ln N) algorithm, which is not optimal. The scaling behavior can be improved to O(root N ln N) by cleverly controlling the massless Dirac evolution operator by an ancilla qubit, as proposed by Tulsi Phys. Rev. A 78, 012310 (2008)]. We reinterpret the ancilla control as introduction of an effective mass at the marked vertex, and optimize the proportionality constants of the scaling behavior of the algorithm by numerically tuning the parameters.

Eigenvalues of kinematical conservation laws (KCL) based 3-D weakly nonlinear ray theory (WNLRT)

System of kinematical conservation laws (KCL) govern evolution of a curve in a plane or a surface in space, even if the curve or the surface has singularities on it. In our recent publication K. R. Arun, P. Prasad, 3-D kinematical conservation laws (KCL): evolution of a surface in R-3-in particular propagation of a nonlinear wavefront, Wave Motion 46 (2009) 293-311] we have developed a mathematical theory to study the successive positions and geometry of a 3-D weakly nonlinear wavefront by adding an energy transport equation to KCL. The 7 x 7 system of equations of this KCL based 3-D weakly nonlinear ray theory (WNLRT) is quite complex and explicit expressions for its two nonzero eigenvalues could not be obtained before. In this short note, we use two different methods: (i) the equivalence of KCL and ray equations and (ii) the transformation of surface coordinates, to derive the same exact expressions for these eigenvalues. The explicit expressions for nonzero eigenvalues are important also for checking stability of any numerical scheme to solve 3-D WNLRT. (C) 2010 Elsevier Inc. All rights reserved.