The molecular basis for Na/Li exchange is unknown. Li can be transported by the Na pump, anion exchanger (AE1), a background leak, and the Na/Li exchanger. In vivo the intraerythrocyte concentration of Li results from the balance of passive entry, mostly on AE1, and the active extrusion on the Na/Li exchanger. Here we show that erythrocytes have Li-activated PO4 transport that behaves as if it ...

The human response to acute phosphate (PO4) loading is poorly characterized, and it is unknown whether an intestinal phosphate sensor mechanism exists. Here, we characterized the human mineral and endocrine response to parenteral and duodenal acute phosphate loads. Healthy human participants underwent 36 hours of intravenous (IV; 1.15 [low dose] and 2.30 [high dose] mmol of PO4/kg per 24 hours)...

In order to better understand the influence and mechanism of soil-derived humic acid (SHA) on adsorption of P onto particles in soils, the amounts of PO4 adsorbed by synthetic goethite (a-FeOOH) were determined at different concentrations of SHA, pH, ionic strength and order of addition of adsorbents. Addition of SHA can significantly reduce the amount of PO4 adsorption as much as 27.8%. Both g...

Before getting into details, I would like to recall the p-adic inspiration for this theory. Here is a list of things we looked at in Chapter III. (1) Polynomials f ∈ Z[X1, . . . , Xn] and their solutions over Z/pZ ' Zp/pZp, where p is a fixed prime and m ≥ 0. Such a solution can be written as x1 = a10 + a11p+ . . .+ a1mp m , . . . , xn = an0 + an1p+ . . .+ anmp m with ai ∈ {0, . . . , p− 1}. (2...

Since in situ formation of Mg(OH)2 can efficiently sorb phosphate (PO4) from low concentrations in the environment, a novel dispersed magnesium oxide nanoflake-modified diatomite adsorbent (MOD) was developed for use in restoration of eutrophic lakes by removal of excess PO4. Various adsorption conditions, such as pH, temperature and contact time were investigated. Overall, sorption capacities ...

and Applied Analysis 3 Proof. Assume that xN xN 2k and xN 1 xN 2k 1, for every k ∈ N0, and some N ≥ −2, with xN / xN 1. Then, we have xN 4 xN 2xN 1 − 1 xNxN 1 − 1 xN 3 xN 1. 2.4 From this and since xN 4 xN , we obtain a contradiction, finishing the proof of the result. Theorem 2.3. There are no periodic or eventually periodic solutions of 1.1 with prime period three. Proof. If xN xN 3k, xN 1 xN...

Let {Xn, n >= 1} be a strictly stationary sequence of negatively associated random variables, with common continuous and bounded distribution function F. In this paper, we consider the estimation of the two-dimensional distribution function of (X1,Xk+1) based on histogram type estimators as well as the estimation of the covariance function of the limit empirical process induced by the se...

We study a random walk on Fp defined by Xn+1=1∕Xn+εn+1 if Xn≠0, and Xn+1=εn+1 Xn=0, where εn+1 are independent identically distributed. This can be seen as non-linear analogue of the Chung–Diaconis–Graham process. show that mixing time is order logp, answering question Chatterjee Diaconis.

Our aim in this paper is to obtain formulas for solutions of rational difference equations such as xn+1=1±xn−1yn/1−yn,yn+1=1±yn−1xn/1−xn, and xn+1=1±xn−1yn−2/1−yn,yn+1=1±yn−1xn−2/1−xn, where the initial conditions x−2, x−1, x0, y−2, y−1, y0 are non-zero real numbers. In addition, we show that some these systems periodic with different periods. We also verify our theoretical outcomes at end nume...

Mango stone biocomposite efficiency for the removal of phosphate ions (PO4) from aqueous solution was investigated as a function of pH (2–8), biocomposite dose (0.05–0.40 g/100 mL solution), contact time (5–120 min), initial PO4 ions concentration (20–800 mg/L) and temperature (33–61 C). Maximum PO4 ions removal was achieved at pH 2, biocomposite dose 0.3 g, contact time 90 min and initial PO4 ...