Flexibility Properties in Complex Analysis and Affine Algebraic Geometry

In the last decades affine algebraic varieties and Stein manifolds with big (infinite-dimensional) automorphism groups have been intensively studied. Several notions expressing that the automorphisms group is big have been proposed. All of them imply that the manifold in question is an Oka–Forstnerič manifold. This important notion has also recently merged from the intensive studies around the homotopy principle in Complex Analysis. This homotopy principle, which goes back to the 1930s, has had an enormous impact on the development of the area of Several Complex Variables and the number of its applications is constantly growing. In this overview chapter we present three classes of properties: (1) density property, (2) flexibility, and (3) Oka–Forstnerič. For each class we give the relevant definitions, its most significant features and explain the known implications between all these properties. Many difficult mathematical problems could be solved by applying the developed theory, we indicate some of the most spectacular ones.

The U7 snRNP and the hairpin binding protein: Key players in histone mRNA metabolism.

Animal replication-dependent histone mRNAs are subject to several post-transcriptional regulatory processes. Their non-polyadenylated 3' ends are formed preferentially during S phase by a unique nuclear cleavage event. This requires the base pairing between U7 snRNA and a histone spacer element 3' of the cleavage site. Cleavage occurs preferentially after adenosine, at a fixed distance from the hybrid region. A conserved RNA hairpin just upstream of the cleavage site is recognised by the hairpin binding protein (HBP) that acts as an auxiliary processing factor, stabilising the interaction of the histone pre-mRNA with the U7 snRNP. The interaction between HBP and the RNA hairpin is very stable and HBP is also found associated with histone mRNAs on polysomes. The hairpin and presumably, HBP are also required for nuclear export and translation of histone mRNA. Furthermore, histone mRNAs are selectively destabilised in the G2 phase or upon inhibition of DNA synthesis and this regulation is also associated with the hairpin. Recently, HBP-encoding cDNAs were isolated from various organisms. Human, mouse and Xenopus laevis HBPs are similar, while the Caenorhabditis elegans protein has significant homology to the others only in a central RNA binding domain.Copyright 1997 Academic Press Limited

Sterile-filtered saliva is a strong inducer of IL-6 and IL-8 in oral fibroblasts.

OBJECTIVES Saliva has been implicated to support oral wound healing, a process that requires a transient inflammatory reaction. However, definitive proof that saliva can provoke an inflammatory response remained elusive. MATERIALS AND METHODS We investigated the ability of freshly harvested and sterile-filtered saliva to cause an inflammatory response of oral fibroblasts and epithelial cells. The expression of cytokines and chemokines was assessed by microarray, RT-PCR, immunoassays, and Luminex technology. The involvement of signaling pathways was determined by Western blot analysis and pharmacologic inhibitors. RESULTS We report that sterile-filtered whole saliva was a potent inducer of IL-6 and IL-8 in fibroblasts from the gingiva, the palate, and the periodontal ligament, but not of oral epithelial cells. This strong inflammatory response requires nuclear factor-kappa B and mitogen-activated protein kinase signaling. The pro-inflammatory capacity is heat stable and has a molecular weight of <40 kDa. Genome-wide microarrays and Luminex technology further revealed that saliva substantially increased expression of other inflammatory genes and various chemokines. To preclude that the observed pro-inflammatory activity is the result of oral bacteria, sterile-filtered parotid saliva, collected under almost aseptic conditions, was used and also increased IL-6 and IL-8 expression in gingiva fibroblasts. The inflammatory response was, furthermore, independent of MYD88, an adapter protein of the Toll-like receptor signaling pathway. CONCLUSIONS We conclude that saliva can provoke a robust inflammatory response in oral fibroblasts involving the classical nuclear factor-kappa B and mitogen-activated protein kinase signaling pathway. CLINICAL RELEVANCE Since fibroblasts but not epithelial cells show a strong inflammatory response, saliva may support the innate immunity of defect sites exposing the oral connective tissue.