Chemical composition and reaction analysis of single aerosol particles

In situ measurements of gas-liquid surface reactions of single aerosol microdroplets are presented. By means of optical levitation in combination with elastic (Mie) and inelastic (Raman) light scattering it is possible to get information on the chemistry of e.g. acid/base reactions as well as the physical behavior of single microparticles.     

Separation of chromosomal length DNA molecules: pneumatic apparatus for rotating gels during electrophoresis

The maximum length of DNA molecules that can be separated by gel electrophoresis can be increased greatly by periodically altering the direction of the electric field with respect to the gel by an angle that exceeds 90 degrees. One method involves rotating the gel by the desired angle in alternate directions periodically during electrophoresis. We describe a modification of the rotating gel electrophoresis apparatus developed by Serwer (Electrophoresis 1987, 8, 301-304) that uses a pneumatic rotary actuator instead of a stepping motor, hence reducing the cost by about 50%. Other advantages of our design are a lower center of gravity that makes the apparatus more stable and the removal of all electrical power from beneath the fluid-filled electrophoresis chamber. We present data demonstrating the separation of chromosomal length DNA molecules from Saccharomyces cerevisiae strain 334 into 14 resolved bands in parallel lanes.     

ALFALFA SEEDLINGS GROWN OUTDOORS ARE MORE RESISTANT TO UV-INDUCED DNA DAMAGE THAN PLANTS GROWN IN A UV-FREE ENVIRONMENTAL CHAMBER

Abstract The relative UV sensitivities of alfalfa seedlings grown outdoors versus plants grown in a growth chamber under UV-filtered cool white fluorescent bulbs have been determined using three criteria: (1) level of endogenous DNA damage as sites for the UV endonuclease from Micrococcus luteus . (2) susceptibility to pyrimidine dimer induction by a UV challenge exposure and (3) ability to repair UV-induced damage. We find that outdoor-grown plants contain approximately equal frequencies of endogenous DNA damages, are less susceptible to dimer induction by a challenge exposure of broad-spectrum UV and photorepair dimers more rapidly than plants grown in an environmental chamber under cool white fluorescent lamps plus a filter that removes most UV radiation. These data suggest that plants grown in a natural environment would be less sensitive to UVB-induced damage than would be predicted on the basis of studies on plants grown under minimum UV.     

Chemical composition and reaction analysis of single aerosol particles

In situ measurements of gas-liquid surface reactions of single aerosol microdroplets are presented. By means of optical levitation in combination with elastic (Mie) and inelastic (Raman) light scattering it is possible to get information on the chemistry of e.g. acid/base reactions as well as the physical behavior of single microparticles.     

Spectrum and analyticity of semigroups arising in elasticity theory and hydromechanics

Cauchy problems for a second order linear differential operator equation

Spectralizable Operators

We introduce the notion of spectralizable operators. A closed operator A in a Hilbert space is called spectralizable if there exists a non-constant polynomial p such that the operator p(A) is a scalar spectral operator in the sense of Dunford. We show that such operators belongs to the class of generalized spectral operators and give some examples where spectralizable operators occur naturally. Vladimir Strauss gratefully acknowledges support by DFG, Grant No. TR 903/3-1.     

Limit-point / limit-circle classification of second-order differential operators arising in PT quantum mechanics

We consider a second-order differential equation −y^″ + q(x)y(x) = λy(x) with complex-valued potential q and eigenvalue parameter λ ∈ ℂ. In PT quantum mechanics the potential q is given by q(x) = −(ix)^N+2 on a contour Γ ⊂ ℂ. Via a parametrization we obtain two differential equations on [0, ∞) and (−∞, 0]. We give a limit-point/limit-circle classification of this problem via WKB-analysis. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

On stability of closedness and self-adjointness for 2 × 2 operator matrices

Mathematical Notes - Consider an operator which is defined in Banach or Hilbert space X = X 1 × X 2 by the matrix $L = left( {begin{array}{*{20}{c}}A&;amp;B C&;amp;D end{array}}...     

Schnelles und praktikables Verfahren zur Elimination der labilen Form bei der Messung des glykosylierten H?moglobins (Hb A1)

Ohne Zusammenfassung

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Rapid and convenient method for the elimination of labile glycosylated hemoglobin (Hb A₁)

     

Sturm-Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions

We consider a class of boundary value problems for Sturm-Liouville operators with indefinite weight functions. The spectral parameter appears nonlinearly in the boundary condition in the form of a function τ which has the property that λ?λτ(λ) is a generalized Nevanlinna function. We construct linearizations of these boundary value problems and study their spectral properties.