Lattice norms on the unitization of a truncated normed Riesz space

Positivity - Truncated Riesz spaces was first introduced by Fremlin in the context of real-valued functions. An appropriate axiomatization of the concept was given by Ball. Keeping only the first...     

Effective biosorption of U(VI) from aqueous solution using calcium alginate hydrogel beads grafted with amino-carbamate moieties

Journal of Radioanalytical and Nuclear Chemistry - The kinetics of Co ions sorption on CoTreat® was investigated in the 5–40 mg/L concentration range at a bulk temperature of...     

RuBisCO‐Inspired CO2 Activation and Transformation by an Iridium(I) Complex

The synthesis of a new iridium(I) complex containing an enamido phosphine anion (dbuP^?) and its unique reactivity with CO₂ is reported. The complex binds two equivalents of CO₂ and initiates a highly selective reaction cascade. The reaction leads to the reversible cleavage of CO₂ and the enamido ligand as well. Computational analysis points to the existence of a relatively stable Ir‐CO₂ complex as a reaction intermediate prior to CO₂ cleavage, which was confirmed experimentally. The observed transformation resembles several aspects of enzymatic CO₂ fixation by RuBisCO.     

New identities for 7-cores with prescribed BG-rank

Let $\pi$ be a partition. BG-rank$(\pi )$ is defined as an alternating sum of parities of parts of $\pi$ [A. Berkovich, F.G. Garvan, On the Andrews-Stanley refinement of Ramanujan's partition congruence modulo 5 and generalizations, Trans. Amer. Math. Soc. 358 (2006) 703–726. [1]]. Berkovich and Garvan [The BG-rank of a partition and its applications, Adv. in Appl. Math., to appear in $〈$http://arxiv.org/abs/math/0602362$〉$] found theta series representations for the t-core generating functions ${\sum }_{n?0}{a}_{t,j}(n)q^n$, where $a_{t,j}(n)$ denotes the number of t-cores of n with $\text{BG-rank}=j$. In addition, they found positive eta-quotient representations for odd t-core generating functions with extreme values of BG-rank. In this paper we discuss representations of this type for all 7-cores with prescribed BG-rank. We make an essential use of the Ramanujan modular equations of degree seven [B.C. Berndt, Ramanujan's Notebooks, Part III, Springer, New York, 1991] to prove a variety of new formulas for the 7-core generating function$\prod _{j?1}\frac{(1-q^{7j}{)}^7}{(1-q^j)}\text{.}$These formulas enable us to establish a number of striking inequalities for $a_{7,j}(n)$ with $j=-1,0,1,2$ and $a_7(n)$, such as$a_7(2n+2)?2a_7(n),a_7(4n+6)?10a_7(n)\text{.}$Here $a_7(n)$ denotes a number of unrestricted 7-cores of n. Our techniques are elementary and require creative imagination only.     

Understanding microscopic binding of human microsomal prostaglandin E synthase-1 with substrates and inhibitors by molecular modeling and dynamics simulation

Microsomal prostaglandin E synthase-1 (mPGES-1) is a promising target for development of next-generation anti-inflammatory drugs. It is crucial for rational design of the next-generation anti-inflammatory drugs to know the three-dimensional (3D) structure of mPGES-1 trimer and to understand how mPGES-1 binds with substrates and inhibitors. In the current work, a 3D structural model of human mPGES-1 trimer has been developed, for the first time, by performing combined homology modeling, molecular docking, and molecular dynamics simulation. The 3D structural model enables us to understand how mPGES-1 binds with its substrates/inhibitors, and the key amino acid residues for the mPGES-1 binding with ligands have been identified. The detailed 3D structures and calculated binding free energies for mPGES-1's binding with substrates and inhibitors are all consistent with available experimental data, suggesting that the 3D model of the mPGES-1 trimer and the enzyme-ligand binding modes are reasonable. The new structural insights obtained from this study should be valuable for rational design of next-generation anti-inflammatory drugs.     

Mechanisms of atomic layer deposition on substrates with ultrahigh aspect ratios

Atomic layer deposition (ALD) appears to be uniquely suited for coating substrates with ultrahigh aspect ratios (> or similar 10(3)), including nanoporous solids. Here, we study the ALD of Cu and Cu3N on the inner surfaces of low-density nanoporous silica aerogel monoliths. Results show that Cu depth profiles in nanoporous monoliths are limited not only by Knudsen diffusion of heavier precursor molecules into the pores, as currently believed, but also by other processes such as the interaction of precursor and reaction product molecules with pore walls. Similar behavior has also been observed for Fe, Ru, and Pt ALD on aerogels. On the basis of these results, we discuss design rules for ALD precursors specifically geared for coating nanoporous solids.     

Optimal state transfer of a single dissipative two-level system

Optimal state transfer of a single two-level system (TLS) coupled to an Ohmic boson bath via off-diagonal TLS-bath coupling is studied by using optimal control theory. In the weak system-bath coupling regime where the time-dependent Bloch-Redfield formalism is applicable, we obtain the Bloch equation to probe the evolution of the dissipative TLS in the presence of a time-dependent external control field. By using the automatic differentiation technique to compute the gradient for the cost functional, we calculate the optimal transfer integral profile that can achieve an ideal transfer within a dimer system in the Fenna-Matthews-Olson (FMO) model. The robustness of the control profile against temperature variation is also analyzed.     

Modern pathology: protein mis-folding and mis-processing in complex disease

Electrostatic and electrochemical properties of bio-molecules, such as proteins, are governed by energy parameters that are, in part dependent on its folding. Disruption of this process can lead to the development of complex, multisystem diseases whose presentation may be organ-dependent. Examples include cystic fibrosis, alpha-1 antitrypsin deficiency, and Alzheimer disease. In addition to explaining exotic pathologic syndromes, an understanding of protein folding mechanisms may facilitate the understanding of less complex diseases and allow the development of novel therapeutic approaches.     

Three-dimensional nanofabrication with elastomeric phase masks

This Feature Article reviews recent work on an optical technique for fabricating, in a single exposure step, three-dimensional (3D) nanostructures with diverse structural layouts. The approach, which we refer to as proximity field nanopatterning, uses conformable, elastomeric phase masks to pattern thick layers of transparent, photosensitive materials in a conformal contact mode geometry. Aspects of the optics, the materials, and the physical chemistry associated with this method are outlined. A range of 3D structures illustrate its capabilities, and several application examples demonstrate possible areas of use in technologies ranging from microfluidics to photonic materials to density gradient structures for chemical release and high-energy density science.