On the univalence of an integral operator defined by Hadamard product

In this paper, we introduce a new general integral operator defined by the Hadamard product. Furthermore, we obtained new sufficient conditions for this operator to be univalent in the open unit disk.     

Phase diagrams of the spin-2 Ising model in the presence of a quenched diluted crystal field distribution

We have investigated the random crystal field effects on the phase diagrams of the spin-2 Blume-Capel model for a honeycomb lattice using the effective-field theory with correlations.To do so,the thermal variations of magnetization are studied via calculating the phase diagrams of the model.We have found that the model displays both second-order and first-order phase transitions in addition to the tricritical and isolated points.Reentrant behavior is also observed for some appropriate values of certain system parameters.Besides the usual ground-state phases of the spin-2 model including ±2,±1,and 0,we have also observed the phases ±3/2 and ±1/2,which are unusual for the spin-2 case.     

Transport risk models for hazardous materials: revisited

Several proposed path evaluation functions for hazardous materials transport use an approximation. Modified functions that avoid the approximation violate two reasonable axioms. We present new models by redefining the decision problem as one of satisfying demand at the destination. The new models satisfy the axioms and are relatively tractable.     

The bounded approximation property for spaces of holomorphic mappings on infinite dimensional spaces

We study the bounded approximation property for spaces of holomorphic functions. We show that if U is a balanced open subset of a Fréchet–Schwartz space or (DFM )‐space E , then the space ??(U ) of holomorphic mappings on U , with the compact‐open topology, has the bounded approximation property if and only if E has the bounded approximation property. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Trimodal random-field spin- Ising systems in a transverse field

The trimodal random-field spin- Ising system in a transverse field is investigated by combining the pair approximation with the discretized path-integral representation by introducing a parameter p to simulate the fractions of the spins not exposed to the external longitudinal magnetic field. The variation of the critical reduced transverse field and longitudinal magnetic field with the parameter p is studied for different coordination numbers and it is found that the system does not exhibit any tricritical points for p>0.22. The phase diagrams with respect to the external longitudinal random-field and the second-order phase transition temperature are obtained for given values of the transverse field, coordination numbers and the parameter p. It is found that for appropriate values of the system parameters the system does present tricritical points and reentrant phase transitions, which may be caused by the competition between the quantum effects and randomness.     

Concanavalin A Binding on PHEMA Beads and Their Interactions with Myeloma Cells

The aim of this study is to prepare concanavalin A (Con A) bound poly(2-hydroxy ethyl methacrylate) (PHEMA) beads for cell affinity chromatography. In the first step, PHEMA beads were produced by suspension polymerization, and activated by cyanogen bromide (CNBr) in an alkaline medium (pH 11.5), and then, the bio-ligand “Con A” was attached by covalent binding onto the CNBr activated beads. PHEMA beads were characterized by scanning electron microscopy (SEM), surface area and pore size measurements. The PHEMA beads have a spherical shape and porous structure. The specific surface area of the PHEMA beads was found to be 39.7 m²/g with a size range of 150–200 μm in diameter and the swelling ratio was 55%. The amount of bound Con A was controlled by changing pH and the initial concentrations of CNBr and Con A. The non-specific adsorption of Con A on the plain PHEMA beads was 0.1 mg/g. The maximum Con A binding was 4.8 mg/g at pH 7.25. Both plain and Con A bound PHEMA beads were interacted first with the myeloma cell suspension in phosphate buffer. Myeloma cell attachment was very low for the plain PHEMA beads, while the number of myeloma cells attached increased almost 20 fold when the Con A bound beads were used. In order to look at whether or not the interaction of the Con A bound PHEMA beads and myeloma cells are affected from the biological molecules and other cells in the medium. We selected sheep blood itself as the medium, and mixed with the myeloma cell suspension and changed the environment. Cell adhesion decreased but not very significantly by changing the medium from simple buffer to sheep blood.     

Supramolecular strategies to construct biocompatible and photoswitchable fluorescent assemblies

We designed and synthesized an amphiphilic copolymer with pendant hydrophobic decyl and hydrophilic poly(ethylene glycol) chains along a common poly(methacrylate) backbone. This macromolecular construct captures hydrophobic boron dipyrromethene fluorophores and hydrophobic spiropyran photochromes and transfers mixtures of both components in aqueous environments. Within the resulting hydrophilic supramolecular assemblies, the spiropyran components retain their photochemical properties and switch reversibly to the corresponding merocyanine isomers upon ultraviolet illumination. Their photoinduced transformations activate intermolecular electron and energy transfer pathways, which culminate in the quenching of the boron dipyrromethene fluorescence. As a result, the emission intensity of these supramolecular constructs can be modulated in aqueous environments under optical control. Furthermore, the macromolecular envelope around the fluorescent and photochromic components can cross the membrane of Chinese hamster ovarian cells and transport its cargo unaffected into the cytosol. Indeed, the fluorescence of these supramolecular constructs can be modulated also intracellularly by operating the photochromic component with optical inputs. In addition, cytotoxicity tests demonstrate that these supramolecular assemblies and the illumination conditions required for their operation have essentially no influence on cell viability. Thus, supramolecular events can be invoked to construct fluorescent and photoswitchable systems from separate components, while imposing aqueous solubility and biocompatibility on the resulting assemblies. In principle, this simple protocol can evolve into a general strategy to deliver and operate intracellularly functional molecular components under optical control.     

Univalence criterion for meromorphic functions and Loewner chains

The object of the present paper is to obtain a more general condition for univalence of meromorphic functions in the U^∗. The significant relationships and relevance with other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.     

Coefficient bounds for a subclass of starlike functions of complex order

In the present work, we determine coefficient bounds for functions in certain subclass of starlike functions of complex order b, which are introduced here by means of a multiplier differential operator. Several corollaries and consequences of the main results are also considered.     

Fixed point theorems for operators on partial metric spaces

Fixed point theorems for operators of a certain type on partial metric spaces are given. Orbitally continuous operators on partial metric spaces and orbitally complete partial metric spaces are defined, and fixed point theorems for these operators are given.