The effect of rotation on the onset of convection in compfessible Walters‘ (model B‘) elastico-viscous fluid heated from below saturating a porous medium is considered. For the porous medium, the Brinkman model is employed and Walters‘ (model B‘) fluid used to characterize the viscoelastic fluid. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the medium permeability, compressibility, gravity field and vscoelasticity introduce oscillatory modes. For stationary convection, the rotation has stabilizing effect whereas Darcy number and medium permeability have destabilizing/stabilizing effect on the system under certain conditions. and Obsahuje seznam literatury a názvosloví
A non-regular primitive permutation group is called extremely primitive if a point stabilizer acts primitively on each of its nontrivial orbits. Let S be a nontrivial finite regular linear space and G ≤ Aut(S). Suppose that G is extremely primitive on points and let rank(G) be the rank of G on points. We prove that rank(G) ≥ 4 with few exceptions. Moreover, we show that Soc(G) is neither a sporadic group nor an alternating group, and G = PSL(2, q) with q + 1 a Fermat prime if Soc(G) is a finite classical simple group., Haiyan Guan, Shenglin Zhou., and Obsahuje seznam literatury
Obstructive sleep apnea (OSA) has been demonstrated to be
implicated in disorder of insulin secretion and diabetes mellitus.
In this study, we aimed to evaluate the protective role of tempol,
a powerful antioxidant, in chronic intermittent hypoxia
(IH)-induced pancreatic injury. The rat model of OSA was
established by IH exposure. The pathological changes, increased
blood-glucose level, and raised proinsulin/insulin ratio in
pancreatic tissues of rats received IH were effectively relieved
by tempol delivery. In addition, the enhanced levels of
pro-inflammatory cytokines, TNF-α, IL-1β, IL-6, and inflammatory
mediators, PGE2, cyclooxygenase-2 (COX-2), NO, and inducible
nitric oxide synthase (iNOS) in pancreatic tissue were suppressed
by tempol. Moreover, tempol inhibited IH-induced apoptosis in
pancreatic tissue as evidenced by upregulated Bcl-2 level, and
downregulated Bax and cleaved caspase-3 levels. Finally, the
abnormal activation of mitogen-activated protein kinase (MAPK)
and nuclear factor kappa-light-chain-enhancer of activated B cells
(NF-κB) signaling pathways induced by IH was restrained by
tempol administration. In summary, our study demonstrates that
tempol relieves IH-induced pancreatic injury by inhibiting
inflammatory response and apoptosis, which provides theoretical
basis for tempol as an effective treatment for OSA-induced
pancreatic injury.