Let α1, α2, . . . , αn, β1, β2, . . . , βn be strictly positive reals with α1 +α2 + · · ·+αn = β1 + β2 + · · ·+ βn = s. In this paper, the inequality |||Aα1Bβ1Aα2 · · ·AαnBβn ||| ≤ |||AB|||s when A and B are positive-definite matrices is studied. Related questions are also studied.

Let a finite set N of points in a (finite-dimensional) normed space be given, and let α1, α2 be fixed nonnegative real numbers. The task is to find a connected graph G = (V,E) such that N ⊆ V and the cost C(G) = α1 · |V \N | + α2 · ∑

OBJECTIVES Although intravenous immunoglobulin (IVIG) is highly effective in Kawasaki disease (KD), mechanisms are not understood and 10-20% of patients are treatment-resistant, manifesting a higher rate of coronary artery aneurysms. Murine models suggest that α2-6-linked sialic acid (α2-6Sia) content of IVIG is critical for suppressing inflammation. However, pro-inflammatory states also up-reg...

RATIONALE The Na+ / K+ ATPase (NKA) directly regulates intracellular Na+ levels, which in turn indirectly regulates Ca2+ levels by proximally controlling flux through the Na+ / Ca2+ exchanger (NCX1). Elevated Na+ levels have been reported during heart failure, which permits some degree of reverse-mode Ca2+ entry through NCX1, as well as less efficient Ca2+ clearance. OBJECTIVE To determine wh...

INTRODUCTION Mechanically ventilated children in paediatric intensive care units are commonly administered analgesics and sedative agents to minimise pain and distress and facilitate cooperation with medical interventions. Opioids and benzodiazepines are the most common analgesic and sedative agents but have safety concerns. The α2 agonists clonidine and dexmedetomidine are alternative sedative...

GABA(A) receptors are critically involved in hippocampal oscillations. GABA(A) receptor α1 and α2 subunits are differentially expressed throughout the hippocampal circuitry and thereby may have distinct contributions to oscillations. It is unknown which GABA(A) receptor α subunit controls hippocampal oscillations and where these receptors are expressed. To address these questions we used transg...

We find necessary and sufficient conditions for the integrability of one type of multisymplectic 3-forms on a 6-dimensional manifold. Let V be a 6-dimensional real vector space. The general linear group GL(V ) operates naturally on the space of 3-forms Λ3V ∗ by φα(v, v′, v′′) = α(φ−1v, φ−1v′, φ−1v′′) , α ∈ Λ3V ∗, φ ∈ GL(V ) . This action has six orbits, see e.g. [1]. They can be described by th...

UNLABELLED Although all 12 subtypes of human interferon alpha (IFN-α) bind the same receptor, recent results have demonstrated that they elicit unique host responses and display distinct efficacies in the control of different viral infections. The IFN-α2 subtype is currently in HIV-1 clinical trials, but it has not consistently reduced viral loads in HIV-1 patients and is not the most effective...

Ca2+ channels are voltage-gated ion present in the membrane of most excitable cells. The nomenclature for Ca2+channels was proposed by [127] and approved NC-IUPHAR Subcommittee on [70]. Most form hetero-oligomeric complexes. α1 subunit is pore-forming provides binding site(s) practically all agonists antagonists. 10 cloned α1-subunits can be grouped into three families: (1) high-voltage activat...

Consider a composition of two regular coverings π1 : Γ0 → Γ1 and π2 : Γ1 → Γ2 of graphs, given by voltage assignments α1, α2 on Γ1, Γ2 in groups G1 and G2, respectively. In the case when π2 ◦ π1 is regular we present an explicit voltage assignment description of the composition in terms of G1, G2, α1, α2, and walks in Γ1.