Reactions along the astrophysical s-process path and prospects for neutron radiotherapy with the Liquid-Lithium Target (LiLiT) at the Soreq Applied Research Accelerator Facility (SARAF)

The European Physical Journal A - An empirical formula is proposed for the two-proton decay half-lives. This study is an extension of the empirical formula reported recently by us for calculating...     

New results for global stability of a class of neutral-type neural systems with time delays

This paper studies the global convergence properties of a class of neutral-type neural networks with discrete time delays. This class of neutral systems includes Cohen–Grossberg neural networks, Hopfield neural networks and cellular neural networks. Based on the Lyapunov stability theorems, some delay independent sufficient conditions for the global asymptotic stability of the equilibrium point for this class of neutral-type systems are derived. It is shown that the results presented in this paper for neutral-type delayed neural networks are the generalization of a recently reported stability result. A numerical example is also given to demonstrate the applicability of our proposed stability criteria.     

Fibonacci oscillators

We discuss the properties of oscillators whose spectrum is given by a generalized Fibonacci sequence. The properties include: invariance under the unitary quantum group, generalized angular momentum, coherent states and difference calculus, relativistic interpretation.     

Quantification of carbamazepine and its 10,11‐epoxide metabolite in rat plasma by UPLC‐UV and application to pharmacokinetic study

A rapid, selective and sensitive UPLC‐UV method was developed and validated for the quantitative analysis of carbamazepine and its epoxide metabolite in rat plasma. A relatively small volume of plasma sample (200 μL) is required for the described analytical method. The method includes simple protein precipitation, liquid–liquid extraction, evaporation, and reconstitution steps. Samples were separated on a Waters Acquity UPLC BEH C₁₈ column (1.7 µm, 2.1 × 100 mm) with a gradient mobile phase consisted of 60:40 going to 40:60 (v/v) water–acetonitrile at a flow rate of 0.5 mL/min. The total run time was as low as 6 min, representing a significant improvement in comparison to existing methods. Excellent linearity (r² > 0.999) was achieved over a wide concentration range. Close to complete recovery, short analysis time, high stability, accuracy, precision and reproducibility, and low limit of quantitation were demonstrated. Finally, we successfully applied this analytical method to a pre‐clinical oral pharmacokinetic study, revealing the plasma profiles of both carbamazepine and carbamazepine‐10,11‐epoxide following oral administration of carbamazepine to rats. The advantages demonstrated in this work make this analytical method both time‐ and cost‐efficient approach for drug and metabolite monitoring in the pre‐clinical/clinical laboratory. Copyright © 2013 John Wiley & Sons, Ltd.     

Host defense peptides and lipopeptides: modes of action and potential candidates for the treatment of bacterial and fungal infections

Endogenous peptide antibiotics (termed also host-defense or antimicrobial peptides) are known as evolutionarily old components of innate immunity. They were found initially in invertebrates, but later on also in vertebrates, including humans. This secondary, chemical immune system provides organisms with a repertoire of small peptides that act against invasion (for both offensive and defensive purposes) by occasional and obligate pathogens. Each antimicrobial peptide has a broad but not identical spectrum of antimicrobial activity, predominantly against bacteria, providing the host maximum coverage against a rather broad spectrum of microbial organisms. Many of these peptides interact with the target cell membranes and increase their permeability, which results in cell lysis. A second important family includes lipopeptides. They are produced in bacteria and fungi during cultivation on various carbon sources, and possess a strong antifungal activity. Unfortunately, native lipopeptides are non-cell selective and therefore extremely toxic to mammalian cells. Whereas extensive studies have emerged on the requirements for a peptide to be antibacterial, very little is known concerning the parameters that contribute to antifungal activity. This review summarizes recent studies aimed to understand how antimicrobial peptides and lipopeptides select their target cell. This includes a new group of lipopeptides highly potent against pathogenic fungi and yeast. They are composed of inert cationic peptides conjugated to aliphatic acids with different lengths. Deep understanding of the molecular mechanisms underlying the differential cells specificity of these families of host defense molecule is required to meet the challenges imposed by the life-threatening infections.     

Global robust stability analysis of neural networks with discrete time delays

Global robust convergence properties of continuous-time neural networks with discrete delays are studied. By using a Lyapunov functional, we derive a delay independent stability condition for the existence uniqueness and global robust asymptotic stability of the equilibrium point. The condition is in terms of the network parameters only and can be easily verified. It is also shown that the obtained result improves and generalizes a previously published result.     

Solitons in a linearly coupled system with separated dispersion and nonlinearity

We introduce a model of dual-core waveguide with the cubic nonlinearity and group-velocity dispersion (GVD) confined to different cores, with the linear coupling between them. The model can be realized in terms of photonic-crystal fibers. It opens a way to understand how solitons are sustained by the interplay between the nonlinearity and GVD which are not "mixed" in a single nonlinear Schrodinger (NLS) equation, but are instead separated and mix indirectly, through the linear coupling between the two cores. The spectrum of the system contains two gaps, semi-infinite and finite ones. In the case of anomalous GVD in the dispersive core, the solitons fill the semi-infinite gap, leaving the finite one empty. This soliton family is entirely stable, and is qualitatively similar to the ordinary NLS solitons, although shapes of the soliton's components in the nonlinear and dispersive cores are very different, the latter one being much weaker and broader. In the case of the normal GVD, the situation is completely different: the semi-infinite gap is empty, but the finite one is filled with a family of stable gap solitons featuring a two-tier shape, with a sharp peak on top of a broad "pedestal." This case has no counterpart in the usual NLS model. An extended system, including weak GVD in the nonlinear core, is analyzed too. In either case, when the solitons reside in the semi-infinite or finite gap, they persist if the extra GVD is anomalous, and completely disappear if it is normal.