A compact integrated microfluidic oxygenator with high gas exchange efficiency and compatibility for long-lasting endothelialization

A novel microfluidic architecture allowing simple parallel stacking of the different 4 inch circular units of curved blood capillaries covering a maximal surface area with high compacity is proposed for blood oxygenation at high flow rate.

On the compositum of orthogonal cyclic fields of the same odd prime degree

The aim of this paper is to study circular units in the compositum K of t cyclic extensions of ${\mathbb {Q}}$ ( $t\ge 2$ ) of the same odd prime degree $\ell $ . If these fields are pairwise arithmetically orthogonal and the number s of primes ramifying in $K/{\mathbb {Q}}$ is larger than $t,$ then a nontrivial root $\varepsilon $ of the top generator $\eta $ of the group of circular units of K is constructed. This explicit unit $\varepsilon $ is used to define an enlarged group of circular units of K, to show that $\ell ^{(s-t)\ell ^{t-1}}$ divides the class number of K, and to prove an annihilation statement for the ideal class group of K.

A NOTE ON THE EQUIVALENCE OF THE PARITY OF CLASS NUMBERS AND THE SIGNATURE RANKS OF UNITS IN CYCLOTOMIC FIELDS

We collect some statements regarding equivalence of the parities of various class numbers and signature ranks of units in prime power cyclotomic fields. We correct some misstatements in the literature regarding these parities by providing an example of a prime cyclotomic field where the signature rank of the units and the signature rank of the circular units are not equal.

Sur une forme faible de la conjecture de Greenberg II

For a totally real number field which is abelian over Q, in which an odd prime [Formula: see text] is totally split, and which verifies certain rather mild conditions on the cohomology of the circular units, we show that a weak form of Greenberg’s conjecture for [Formula: see text] holds true. This fills a gap — pointed out by René Schoof — in a previous proof (see Sur la conjecture faible de Greenberg dans le cas abélien [Formula: see text]-décomposé, Int. J. Number Theory 2(1) (2006) 49–64), and also extends the original result (semi-simplicity is no longer required).

Cultivation of marine shrimp in biofloc technology (BFT) system under different water alkalinities

The aim of this study was to evaluate the influence of different levels of alkalinity for the superintensive cultivation of marine shrimp Litopenaeus vannamei in biofloc system. A total of 12 experimental circular units of 1000L were used supplied with 850L water from a nursery, populated at a density of 165 shrimps.m–3 and average weight of 5.6 g. The treatments, in triplicate, consisted in four levels of alkalinity in the water: 40, 80, 120 and 160 mg.L–1 of calcium carbonate. To correct the alkalinity was used calcium hydroxide (CaOH). It was observed a decrease in pH of the water in the treatments with lower alkalinity (p<0.05). The total suspended settleable solids were also lower in the treatment of low alkalinity. No significant difference was observed in other physico-chemical and biological parameters in the water quality assessed, as well as the zootechnical parameters of cultivation between treatments (p≥0.05). The results of survival and growth rate of shrimps were considered suitable for the cultivation system used in the different treatments. The cultivation of marine shrimp Litopenaeus vannamei in biofloc at density of 165 shrimps.m–3 can be performed in waters with alkalinity between 40 and 160 mg.L–1 of CaCO3, without compromising the zootechnical indexes of cultivation.