We motivate and define $$\Phi $$ -energy density, -energy, -harmonic maps stable maps. Whereas harmonic or p-harmonic can be viewed as critical points of the integral first symmetric function $$\sigma _1$$ a pull-back tensor, second _2$$ tensor. By an extrinsic average variational method in calculus variations [cf. Howard Wei (Trans Am Math Soc 294:319–331, 1986), Yau (J Geom Anal 4(2):247–272,...

The interaction between phytochrome photoequilibrium (phi) and photon flux in the photoregulation of anthocyanin production under prolonged irradiation was studied in seedlings of Brassica oleracea L. and Lycopersicon esculentum Mill. In cabbage, anthocyanin production increases with decreasing phi, reaching a maximum at the lowest value (phi = 0.13) used in this study; in tomato, the extent of...

A method was developed in this study to measure the intracellular pH (pHi) of Dictyostelium discoideum cells with a pH-sensitive fluorescence dye, carboxyfluorescein dibutyrate, and the pHi values of cells on the stalk and spore pathways were compared. The pHi of prestalk cells was lower than that of prespore cells by approximately 0.3 pH unit. In monolayer cultures of sporogenous mutants, whic...

During mammalian development the fetal liver plays an important role in hematopoiesis. Studies with the macrophage (M phi)-specific mAb F4/80 have revealed an extensive network of M phi plasma membranes interspersed between developing erythroid cells in fetal liver. To investigate the interactions between erythroid cells and stromal M phi, we isolated hematopoietic cell clusters from embryonic ...

The regulation of intracellular pH (pHi) is a fundamental aspect of cell physiology that has received little attention in studies of reef-building corals and symbiotic cnidarians. Here, we investigated the hypothesis that dynamic changes in the pHi of coral host cells are controlled by the photosynthetic activity of the coral's dinoflagellate symbionts. Using live cell imaging and the pH-sensit...

Intraperitoneally injected rRNA from Pseudomonas aeruginosa combined with dimethyldioctadecylammonium bromide (DDA) increased nonspecifically the resistance of mice against an intraperitoneal challenge with extracellular (P. aeruginosa, Escherichia coli) and intracellular (Listeria monocytogenes) bacteria. This study concerns the mechanism underlying the nonspecific resistance. RNA with DDA (RN...

Phosphate (Pi) and its analog phosphite (Phi) are acquired by plants via Pi transporters. Although the uptake and mobility of Phi and Pi are similar, there is no evidence suggesting that plants can utilize Phi as a sole source of phosphorus. Phi is also known to interfere with many of the Pi starvation responses in plants and yeast (Saccharomyces cerevisiae). In this study, effects of Phi on pl...

The locus of all points in the complex plane of the dielectric function ?[?(r) + j?(i) = |?| exp(jtheta)], that represent all possible interfaces characterized by the same pseudo-Brewster angle theta(p)B of minimum p reflectance, is derived in the polar form: |?| = l cos(zeta/3), where l = 2(tan(2)Phi(p)B)k, zeta = arccos(- costheta cos(2)Phi(p)B/k(3)), and k = (1 - 2/3 sin(2)Phi(p)B)(1/2). Fam...

We study the cutting and packing C&P problems in two dimensions by using phi-functions. Our phi-functions describe the layout of given objects; they allow us to construct a mathematical model inwhich C&P problems become constrained optimization problems. Herewe define for the first time a complete class of basic phi-functions which allow us to derive phi-functions for all 2D objects that are fo...