An elliptic system with bifurcation parameters on the boundary conditions

In this paper we consider the elliptic system Δu=a(x)upvq, Δv=b(x)urvs in Ω, a smooth bounded domain, with boundary conditions , on ∂Ω. Here λ and μ are regarded as parameters and p,s>1, q,r>0 verify (p−1)(s−1)>qr. We consider the case where a(x)?0 in Ω and a(x) is allowed to vanish in an interior subdomain Ω₀, while b(x)>0 in . Our main results include existence of nonnegative nontrivial solutions in the range 0<λ<λ₁?∞, μ>0, where λ₁ is characterized by means of an eigenvalue problem, and the uniqueness of such solutions. We also study their asymptotic behavior in all possible cases: as both λ,μ→0, as λ→λ₁<∞ for fixed μ (respectively μ→∞ for fixed λ) and when both λ,μ→∞ in case λ₁=∞.     

Adsorption of SO2 from Wet Mixtures on Hydrophobic Zeolites

Breakthrough curve measurements of SO₂ and water vapor were carried out on a number of selected mordenite and pentasil zeolites from their binary and ternary mixtures with CO₂ at 50 and 100°C. SO₂ capacities of these samples were found to be significantly reduced by the presence of water. Competitive adsorption led to unusually high overshoot peaks of SO₂ breakthrough curves. On the other hand, SO₂ was found to displace water on the samples with very high silica to alumina ratio. A linear driving force, isothermal model was used to predict the breakthrough curves. Langmuir and extended Langmuir equilibrium models were used to describe the equilibrium properties of water and SO₂, respectively. The overall mass transfer resistance obtained from the model was compared to the values calculated from a simplified biporous adsorbent model to shed some light on the adsorption kinetics.     

Spectroscopic and thermodynamic characterization of the E151D and E151A altered leucine aminopeptidases from Aeromonas proteolytica

Previous kinetic characterization of the glutamate 151 (E151)-substituted forms of the leucine aminopeptidase from Aeromonas proteolytica (Vibrio proteolyticus; AAP) has provided critical evidence that this residue functions as the general acid/base. The close proximity of similar glutamate residues to the bridging water/hydroxide of the dinuclear active sites of metalloenzymes (2.80 and 3.94 angstroms in carboxypeptidase G2 and 3.30 and 3.63 angstroms in AAP), suggests it may also be involved in stabilizing the active-site metal ions. Therefore, the structural perturbations of the dinuclear active site of AAP were examined for two E151-substituted forms, namely E151D-AAP and E151A-AAP, by UV-vis and electron paramagnetic resonance (EPR) spectroscopy. UV-vis spectroscopy of Co(II)-substituted E151A-AAP did not reveal any significant changes in the electronic absorption spectra. However UV-vis spectra of mono- and dicobalt(II) E151D-AAP exhibited a lower molecular absorptivity compared to AAP (23 and 43 M(-1) cm(-1) vs. 56 and 109 M(-1) cm(-1) for E151D-AAP and AAP, respectively) suggesting both Co(II) ions reside in distorted octahedral coordination geometry in E151D-AAP. EPR spectra of [Co_(E151D-AAP)], [ZnCo(E151D-AAP)], and [(CoCo(E151D-AAP)] were identical, with g(perpendicular) = 2.35, g(parallel) = 2.19, and E/D = 0.19, similar to [CoCo(AAP)]. On the other hand, the EPR spectrum of [Co_(E151A-AAP)] was best simulated assuming the presence of two species with (i) g(x,y) = 2.509, g(z) = 2.19, E/D = 0.19, A = 0.0069 cm(-1) and (ii) g(x,y) = 2.565, g(z) = 2.19, E/D = 0.20, A = 0.0082 cm(-1) indicative of a five- or six-coordinate species. Isothermal titration calorimetry experiments revealed a large decrease in Zn(II) affinities, with K(d) values elevated by factors of approximately 850 and approximately 24,000 for the first metal binding events of E151D- and E151A-AAP, respectively. The combination of these data indicates that E151 serves to stabilize the dinuclear active site of AAP.