On the Uniqueness ofL 2-solutions in half-space of certain differential equations

Square integrable solutions to the equation{– ²/y² + P(D_x)+b(y)–}u(x, y) = f(x, y) are considered in the half-spacey>0, x ⁿ , whereP(D _x) is a constant coefficient operator. Under suitable conditions on lim_y0u(x, y), b(y), f(x, y) and , it is shown that suppu = suppf. This generalizes a result due to Walter Littman.Research partially supported by USNSF Grant 79-02538-A02.     

EVENTS SURROUNDING THE EARLY DEVELOPMENT OF EUGLENA CHLOROPLASTS. 12. SPECTROSCOPIC EXAMINATION OF THE PROTOCHLOROPHYLL(IDE) PHOTOTRANSFORMATION IN INTACT CELLS*

Abstract— Absorption measurements in the 600–720 nm region of dark-grown cells of Euglena gracilis Klebs var. bacillaris Cori were made in vivo at room temperature using computer-assisted spectrophotometry. Dark-grown wild-type cells have a prominent absorption maximum at 634 nm due to protochlorophyll(ide) absorption. Upon illumination, the absorption at 634nm decreases and a peak appears at 674nm, representing the phototransformation of protochlorophyll(ide) to chlorophyll(ide). Using difference spectroscopy, the resynthesis in the dark of protochlorophyll(ide) by previously-illuminated wild-type dark-grown cells was found to begin at about 10min after illumination and reached completion by about 25 min, the amount of protochlorophyll(ide) resynthesized being equivalent to that of dark-grown cells. Resynthesis of protochlorophyll(ide) following a second illumination follows the same kinetics, indicating that protochlorophyll(ide) resynthesis is under tight regulation, possibly via feedback control. Cells of dark-grown wild-type and W₃BUL, a mutant lacking protochlorophyll(ide) contain a component absorbing at 658 nm which does not undergo phototransformation when examined by difference spectroscopy at room and liquid N₂ temperatures. Following the phototransformation of protochlorophyll(ide) 634 to chlorophyll(ide) 674, the chlorophyll(ide) 674 shifts to shorter wavelengths, ultimately to 671 nm. Possible relationships among the various spectroscopic forms of protochlorophyll(ide) and chlorophyll(ide) at room temperature and liquid N₂ temperature in Euglena and higher plants are presented. It is concluded that Euglena, unlike older, etiolated higher plants, contains only protochlorophyll(ide) 634, making it an excellent system in which to examine the phototransformation of this pigment species in the absence of other forms.     

Determination of the Failure Stresses for Fluid-filled Microcapsules that Rupture Near the Elastic Regime

The encapsulation of liquids within an external wall or shell is an important technology often utilized in the production of many commercial products. The mechanical characterization of such microcapsules is paramount in order to fully understand their performance in their target environment. Some microcapsules, with wall materials such as inorganic based compounds, rupture at small deformations, commonly near the elastic regime. The study herein presents a general methodology that enables calculation of the failure stresses leading to the elastic-like rupture of microcapsules under parallel compression testing. Two scenarios of failure, brittle and ductile, were considered. Analyses of the critical stresses present within the microcapsule wall during different degrees of fractional deformation were obtained using finite element modelling, resulting in similar values for both the brittle and ductile scenarios. The correlations presented were used to determine the failure stresses of tetraethoxyorthosilane-methyltrimethoxysilane (TEOS-MTMS) microcapsules with a model core oil, which are 11?C14?±?10?MPa. The data were further analyzed using Weibull distributions.     

Food structure: Roles of mechanical properties and oral processing in determining sensory texture of soft materials

There is a desire to alter food composition to make foods healthier and at the same time not diminish sensory quality. This requires an understanding of key elements of food structure associated with texture perception. Texture, in part, is perceived during oral processing of food. Knowledge of structure–oral processing–texture interrelations could be utilized to develop or prevent specified textural attributes. Overall, the investigation of structure–oral processing–texture interrelations is just starting as a research focus. Factors including non-universal and inconsistent sensory terminology, omission of consideration for structural changes incurred by oral processes, and the lack of cross-disciplinary investigations hamper progress in this field. Consideration of these factors in future investigations on sensory texture will increase the applicability of their findings and bring us closer to understanding the contribution of food structure to sensory texture.     

A Simple Approach for Multi‐fidelity Experimentation Applied to Financial Engineering

In practical applications, information about the accuracy or ‘fidelity’ of alternative surrogate systems may be ambiguous and difficult to determine. To address this problem, we propose to treat surrogate system fidelity level as a categorical factor in optimal response surface design. To design the associated experiments, we apply the Expected Integrated Mean Squared Error optimal design criterion, which takes into account both variance and bias errors. The performance of the proposed design was compared using three test cases to four types of alternatives using the Empirical Integrated Squared Error. Because of its ability to foster relatively accurate predictions, the proposed design is recommended in fidelity experimental design, particularly when the experimenters lack sufficient information about the fidelity levels of surrogate systems. The method was applied to the case of intraday trading optimization in which data were collected from the Taiwan Futures Exchange. We also calculated the implied volatility from the Merton's Jump‐diffusion model via the fast Fourier transform algorithm with three different models of varying fidelity levels. Copyright © 2014 John Wiley & Sons, Ltd.     

Changes in metal specificity due to iron ligand substitutions in reaction centers fromRhodobacter sphaeroides

Bacterial reaction centers have a single nonheme iron that is located between two bound quinones, Q_A and Q_B, which are the primary and secondary electron acceptors during photosynthesis, respectively. InRhodobacter sphaeroides, the iron is coordinated by four nitrogen atoms, contributed by histidines at L190, L230, M219, and M266, and two oxygen atoms, contributed by Glu at M234. The roles of these ligands in determining the metal-binding specificity and electron transfer properties of the quinones were investigated by mutagenesis. Each of the four His ligands was changed to Glu, Gln, and Cys, whereas Glu was changed to His, Gln, Cys, and Asp. All mutants supported photosynthetic growth except for those with substitutions of Glu or Cys at L190 or M219. The metal specificity of isolated mutant RCs was determined by measurements using atomic absorption and 35 GHz electron paramagnetic resonance spectroscopy. The M234 mutants had a lesser iron specificity than the wild type with a mole fraction of 0.7 to 0.8 iron but retained a total metal content of 1.0. All His mutants had an even lower iron content with mole fractions of 0.04 to 0.16. The His to Cys at M266 mutant had a significantly greater amount of bound zinc that was further enhanced when the strain was grown in zinc-supplemented media. The charge recombination rates from Q _B ^?. , which ranged from 0.5 to 1 s^?1 in the mutants, were comparable to the 1 s^?1 value for the wild type. Charge recombination from Q _A ^?. showed complex kinetics, with rates of 15 to 30 s^?1 for the L190, L230, and M234 mutants and 200 s^?1 for the M266 mutants compared with 8 s^?1 for the wild type. The faster rates in the mutants most likely reflected a smaller free energy difference between Q _A ^?. and Φ _A ^? , a nearby bacteriopheophytin, with the smaller energy difference facilitating indirect recombination. All of the mutants transferred electrons to the secondary quinone, with rates (1200 to 4700 s^?1) comparable to that of the native (3700 s^?1). The data demonstrate that neither the ligands nor the bound metal play a critical role in the electron transfer processes at the acceptor side.