Positive solutions for a fourth order equation with nonlinear boundary conditions

Existence of positive solutions for a fourth order equation with nonlinear boundary conditions, which models deformations of beams on elastic supports, is considered using fixed points theorems in cones of ordered Banach spaces. Iterative and numerical solutions are also considered. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.

Adenosine Modulatesa alpha(2)-Adrenergic Receptors within Specific Subnuclei of the Nucleus Tractus Solitarius in Normotensive and Spontaneously Hypertensive Rats

Adenosine Is known to modulate neuronal activity within the nucleus tractus solitarius (NTS). The modulatory effect of adenosine A, receptors (A(1R)) on alpha(2)-adrenoceptors (Adr(2R)) was evaluated using quantitative radioautography within NTS subnuclei and using neuronal culture of normotensive (WKY) and spontaneously hypertensive rats (SHR). Radioautography was used in a saturation experiment to measure Adr2R binding parameters (B(max), K(d)) In the presence of 3 different concentrations of N(6)-cyclopentyladenosine (CPA), an A(1R) agonist. Neuronal culture confirmed our radioautographic results. [(3)H]RX821002, an Adr(2R) antagonist, was used as a ligand for both approaches. The dorsomedial/dorsolateral subnucleus of WKY showed an increase in B(max) values (21%) Induced by 10 nmol/L of CPA. However, the subpostremal subnucleus showed a decrease in Kd values (24%) induced by 10 nmol/L of CPA. SHR showed the same pattern of changes as WKY within the same subnuclei; however, the modulatory effect of CPA was induced by I nmol/L (increased B(max), 17%; decreased K(d), 26%). Cell culture confirmed these results, because 10(-5) and 10(-7) mol/L of CPA promoted an Increase in [3H]RX821002 binding of WKY (53%) and SHR cells (48%), respectively. DPCPX, an AIR antagonist, was used to block the modulatory effect promoted by CPA with respect to Adr2R binding. In conclusion, our study shows for the first time an interaction between A(1R) that increases the binding of Adr2R within specific subnuclei of the NTS. This may be important In understanding the complex autonomic response induced by adenosine within the NTS. In addition, changes in interactions between receptors might be relevant to understanding the development of hypertension. (Hypertens Res 2008; 31: 2177-2186)

PREDICTION OF METAL CATION TOXICITY TO THE BIOLUMINESCENT FUNGUS GERRONEMA VIRIDILUCENS

A correlation between the physicochemical properties of mono- [Li(I), K(I), Na(I)] and divalent [Cd(II), Cu(II), Mn(II), Ni(II), Co(II), Zn(II), Mg(II), Ca(II)] metal cations and their toxicity (evaluated by the free ion median effective concentration. EC50(F)) to the naturally bioluminescent fungus Gerronema viridilucens has been studied using the quantitative ion character activity relationship (QICAR) approach. Among the 11 ionic parameters used in the current study, a univariate model based on the covalent index (X(m)(2)r) proved to be the most adequate for prediction of fungal metal toxicity evaluated by the logarithm of free ion median effective concentration (log EC50(F)): log EC50(F) = 4.243 (+/-0.243) -1.268 (+/-0.125).X(m)(2)r (adj-R(2) = 0.9113, Alkaike information criterion [AIC] = 60.42). Additional two- and three-variable models were also tested and proved less suitable to fit the experimental data. These results indicate that covalent bonding is a good indicator of metal inherent toxicity to bioluminescent fungi. Furthermore, the toxicity of additional metal ions [Ag(I), Cs(I), Sr(II), Ba(II), Fe(II), Hg(II), and Pb(II)] to G. viridilucens was predicted, and Pb was found to be the most toxic metal to this bioluminescent fungus (EC50(F)): Pb(II) > Ag(I) > Hg(I) > Cd(II) > Cu(II) > Co(II) Ni(II) > Mn(II) > Fe(II) approximate to Zn(II) > Mg(II) approximate to Ba(II) approximate to Cs(I) > Li(I) > K(I) approximate to Na(I) approximate to Sr(II)> Ca(II). Environ. Toxicol. Chem. 2010;29:2177-2181. (C) 2010 SETAC