In marine fish, high epithelial intestinal HCO₃− secretion generates luminal carbonate precipitates of divalent cations that play a key role in water and ion homeostasis. The present study was designed to expose the putative role for calcium and the calcium-sensing receptor (CaSR) in the regulation of HCO₃− secretion in the intestine of the sea bream (Sparus aurata L.). Effects on t...

We give an arithmetic count of the lines on a smooth cubic surface over arbitrary field $k$ , generalizing counts that ${\mathbf {C}}$ there are $27$ lines, and {R}}$ number hyperbolic minus elliptic is $3$ . In general, defined extension $L$ have associated type $\alpha$ in $L^*/(L^*)^2$ There equality Grothendieck–Witt group $\operatorname {GW}(k)$ \[ \sum_{\text{lines}} \operatorname{Tr}_{L/...

Let $X$ be a compact K\"ahler manifold with given ample line bundle $L$. In \cite{Don05}, Donaldson proved that the Calabi energy of metric in $c_1(L)$ is bounded from below by supremum normalized version minus Donaldson--Futaki invariants test configurations $(X,L)$. He also conjectured bound sharp. this paper, we prove analogue Donaldson's conjecture, show if enlarge space to geodesic rays $\...

Let $D=(V,A)$ be a finite simple directed graph. A function$f:Vlongrightarrow {-1,0,1}$ is called a twin minus dominatingfunction (TMDF) if $f(N^-[v])ge 1$ and $f(N^+[v])ge 1$ for eachvertex $vin V$. The twin minus domination number of $D$ is$gamma_{-}^*(D)=min{w(f)mid f mbox{ is a TMDF of } D}$. Inthis paper, we initiate the study of twin minus domination numbersin digraphs and present some lo...