The Simultaneous Fractional Dimension of Graph Families

Acta Mathematica Sinica, English Series - For a connected graph G with vertex set V, let RG{x, y} = {z ∈ V: dG(x, z) ≠ dG(y, z)} for any distinct x, y ∈ V, where dG(u, w) denotes...     

Combined therapy of the antimetastatic compound NAMI-A and electroporation on B16F1 tumour cells in vitro

Ruthenium complex NAMI-A [ImH][trans-RuCl(4)(DMSO-S)Im] (Im = imidazole) is a potential chemotherapeutic drug in cancer treatment. Electroporation can be used to facilitate delivery of NAMI-A into cells. Suspension of B16F1 tumour cells from mouse melanoma in NAMI-A solution was exposed to a train of electric pulses. The effect of NAMI-A was determined by examining cell viability in clonogenic test. Our results show that electroporation increases the otherwise scarce in vitro effects of NAMI-A, i.e. reduces cell viability. At the conditions chosen for experiments 90% of cells survived in the presence of 1 microM NAMI-A, whereas in a combined treatment with 1 microM NAMI-A and electroporation only about 10% of cells survived.     

Polysaccharide Hydrogels for the Protection of Dairy-Related Microorganisms in Adverse Environmental Conditions

Adverse environmental conditions are severely limiting the use of microorganisms in food systems, such as probiotic delivery, where low pH causes a rapid decrease in the survival of ingested bacteria, and mixed-culture fermentation, where stepwise changes and/or metabolites of individual microbial groups can hinder overall growth and production. In our study, model probiotic lactic acid bacteria (L. plantarum ATCC 8014, L. rhamnosus GG) and yeasts native to dairy mixed cultures (K. marxianus ZIM 1868) were entrapped in an optimized (cell, alginate and hardening solution concentration, electrostatic working parameters) Ca-alginate system. Encapsulated cultures were examined for short-term survival in the absence of nutrients (lactic acid bacteria) and long-term performance in acidified conditions (yeasts). In particular, the use of encapsulated yeasts in these conditions has not been previously examined. Electrostatic manufacturing allowed for the preparation of well-defined alginate microbeads (180–260 µm diameter), high cell-entrapment (95%) and viability (90%), and uniform distribution of the encapsulated cells throughout the hydrogel matrix. The entrapped L. plantarum maintained improved viabilities during 180 min at pH 2.0 (19% higher when compared to the free culture), whereas, L. rhamnosus appeared to be less robust. The encapsulated K. marxianus exhibited double product yields in lactose- and lactic acid-modified MRS growth media (compared to an unfavorable growth environment for freely suspended cells). Even within a conventional encapsulation system, the pH responsive features of alginate provided superior protection and production of encapsulated yeasts, allowing several applications in lacto-fermented or acidified growth environments, further options for process optimization, and novel carrier design strategies based on inhibitor charge expulsion.     

Variational numerical renormalization group: bridging the gap between NRG and density matrix renormalization group

The numerical renormalization group (NRG) is rephrased as a variational method with the cost function given by the sum of all the energies of the effective low-energy Hamiltonian. This allows us to systematically improve the spectrum obtained by NRG through sweeping. The ensuing algorithm has a lot of similarities to the density matrix renormalization group (DMRG) when targeting many states, and this synergy of NRG and DMRG combines the best of both worlds and extends their applicability. We illustrate this approach with simulations of a quantum spin chain and a single impurity Anderson model where the accuracy of the effective eigenstates is greatly enhanced as compared to the NRG, especially in the transition to the continuum limit.     

Absolute determination of the X‐ray absorption coefficient of barium in the L region using a liquid absorption cell

A method of absolute measurement of X‐ray absorption coefficient is proposed, on the basis of the use of an adjustable pathlength liquid cell and a solution of the investigated element. A variational analysis of the measured data is developed to remove some sources of systematic error. A check of the exponential attenuation with thickness is used to suppress beam harmonics admixture and dark current drifts. The method is illustrated by a measurement on Ba in the L edge region, using aqueous solution of Ba nitrate. Measured data provide information on detailed energy dependence of the absorption beyond the Victoreen‐like trends reproduced in compilations. The proposed method provides a way to measure the absorption data for practically all elements and a wide range of photon energies. Copyright © 2012 John Wiley & Sons, Ltd.     

Rainbow Connection and Graph Products

A path in an edge colored graph G is called a rainbow path if all its edges have pairwise different colors. Then G is rainbow connected if there exists a rainbow path between every pair of vertices of G and the least number of colors needed to obtain a rainbow connected graph is the rainbow connection number. If we demand that there must exist a shortest rainbow path between every pair of vertices, we speak about strongly rainbow connected graph and the strong rainbow connection number. In this paper we study the (strong) rainbow connection number on the direct, strong, and lexicographic product and present several upper bounds for these products that are attained by many graphs. Several exact results are also obtained.     

A New Pathway of DNA G‐Quadruplex Formation

A new folding intermediate of Oxytricha nova telomeric Oxy‐1.5 G‐quadruplex was characterized in aqueous solution using NMR spectroscopy, native gel electrophoresis, thermal differential spectra (TDS), CD spectroscopy, and differential scanning calorimetry (DSC). NMR experiments have revealed that this intermediate (i‐Oxy‐1.5) exists in two symmetric bimolecular forms in which all guanine bases are involved in GG N1‐carbonyl symmetric base pairs. Kinetic analysis of K⁺‐induced structural transitions shows that folding of Oxy‐1.5 G‐quadruplex from i‐Oxy‐1.5 is much faster and proceeds through less intermediates than folding from single strands. Therefore, a new folding pathway of Oxy‐1.5 G‐quadruplex is proposed. This study provides evidence that G‐rich DNA sequences can self‐assemble into specific pre‐organized DNA structures that are predisposed to fold into G‐quadruplex when interacting with cations such as potassium ions.