限制在光滑参数曲线上的С~1曲面插值

给出了一种限制在光滑参数曲线上的C1曲面插值方法.首先通过曲线参数化,建立从曲线到实参数轴的一个一一映射,将限制在曲线上的曲面插值问题转化为实参数轴上的一元插值问题,然后采用范数极小的方法给出参数轴上的一元C1插值函数,再将此插值函数映射到原曲线上即得到限制在参数曲线上的插值函数.理论推导和图形实例显示表明该方法具有逼近效果好的优点.     

限制在光滑参数曲线上的C1曲面插值

给出了一种限制在光滑参数曲线上的C1曲面插值方法.首先通过曲线参数化,建立从曲线到实参数轴的一个一一映射,将限制在曲线上的曲面插值问题转化为实参数轴上的一元插值问题,然后采用范数极小的方法给出参数轴上的一元C1插值函数,再将此插值函数映射到原曲线上即得到限制在参数曲线上的插值函数.理论推导和图形实例显示表明该方法具有逼近效果好的优点.     

Na(+)/H(+ ) exchanger regulatory factor 2 directs parathyroid hormone 1 receptor signalling

The parathyroid hormone 1 receptor (PTH1R) is a class II G-protein-coupled receptor. PTH1R agonists include both PTH, a hormone that regulates blood calcium and phosphate, and PTH-related protein (PTHrP), a paracrine/autocrine factor that is essential for development, particularly of the skeleton. Adenylyl cyclase activation is thought to be responsible for most cellular responses to PTH and PTHrP, although many actions appear to be independent of adenylyl cyclase. Here we show that the PTH1R binds to Na(+)/H(+) exchanger regulatory factors (NHERF) 1 and 2 through a PDZ-domain interaction in vitro and in PTH target cells. NHERF2 simultaneously binds phospholipase C beta 1 and an atypical, carboxyl-terminal PDZ consensus motif, ETVM, of the PTH1R through PDZ1 and PDZ2, respectively. PTH treatment of cells that express the NHERF2 PTH1R complex markedly activates phospholipase C beta and inhibits adenylyl cyclase through stimulation of inhibitory G proteins (G(i/o) proteins). NHERF-mediated assembly of PTH1R and phospholipase C beta is a unique mechanism to regulate PTH signalling in cells and membranes of polarized cells that express NHERF, which may account for many tissue- and cell-specific actions of PTH/PTHrP and may also be relevant to signalling by many G-protein-coupled receptors.     

A role for Drosophila LKB1 in anterior-posterior axis formation and epithelial polarity

The PAR-4 and PAR-1 kinases are necessary for the formation of the anterior-posterior (A-P) axis in Caenorhabditis elegans. PAR-1 is also required for A-P axis determination in Drosophila. Here we show that the Drosophila par-4 homologue, lkb1, is required for the early A-P polarity of the oocyte, and for the repolarization of the oocyte cytoskeleton that defines the embryonic A-P axis. LKB1 is phosphorylated by PAR-1 in vitro, and overexpression of LKB1 partially rescues the par-1 phenotype. These two kinases therefore function in a conserved pathway for axis formation in flies and worms. lkb1 mutant clones also disrupt apical-basal epithelial polarity, suggesting a general role in cell polarization. The human homologue, LKB1, is mutated in Peutz-Jeghers syndrome and is regulated by prenylation and by phosphorylation by protein kinase A. We show that protein kinase A phosphorylates Drosophila LKB1 on a conserved site that is important for its activity. Thus, Drosophila and human LKB1 may be functional homologues, suggesting that loss of cell polarity may contribute to tumour formation in individuals with Peutz-Jeghers syndrome.     

Identification of Vangl2 and Scrb1 as planar polarity genes in mammals

In mammals, an example of planar cell polarity (PCP) is the uniform orientation of the hair cell stereociliary bundles within the cochlea. The PCP pathway of Drosophila refers to a conserved signalling pathway that regulates the coordinated orientation of cells or structures within the plane of an epithelium. Here we show that a mutation in Vangl2, a mammalian homologue of the Drosophila PCP gene Strabismus/Van Gogh, results in significant disruptions in the polarization of stereociliary bundles in mouse cochlea as a result of defects in the direction of movement and/or anchoring of the kinocilium within each hair cell. Similar, but less severe, defects are observed in animals containing a mutation in the LAP protein family gene Scrb1 (homologous with Drosophila scribble). Polarization defects in animals heterozygous for Vangl2 and Scrb1 are comparable with Vangl2 homozygotes, demonstrating genetic interactions between these genes in the regulation of PCP in mammals. These results demonstrate a role for the PCP pathway in planar polarization in mammals, and identify Scrb1 as a PCP gene.     

Helicobacter pylori CagA targets PAR1/MARK kinase to disrupt epithelial cell polarity

Helicobacter pylori cagA-positive strains are associated with gastritis, ulcerations and gastric adenocarcinoma. CagA is delivered into gastric epithelial cells and, on tyrosine phosphorylation, specifically binds and activates the SHP2 oncoprotein, thereby inducing the formation of an elongated cell shape known as the 'hummingbird' phenotype. In polarized epithelial cells, CagA also disrupts the tight junction and causes loss of apical-basolateral polarity. We show here that H. pylori CagA specifically interacts with PAR1/MARK kinase, which has an essential role in epithelial cell polarity. Association of CagA inhibits PAR1 kinase activity and prevents atypical protein kinase C (aPKC)-mediated PAR1 phosphorylation, which dissociates PAR1 from the membrane, collectively causing junctional and polarity defects. Because of the multimeric nature of PAR1 (ref. 14), PAR1 also promotes CagA multimerization, which stabilizes the CagA-SHP2 interaction. Furthermore, induction of the hummingbird phenotype by CagA-activated SHP2 requires simultaneous inhibition of PAR1 kinase activity by CagA. Thus, the CagA-PAR1 interaction not only elicits the junctional and polarity defects but also promotes the morphogenetic activity of CagA. Our findings revealed that PAR1 is a key target of H. pylori CagA in the disorganization of gastric epithelial architecture underlying mucosal damage, inflammation and carcinogenesis.     

Qa-1 restricted recognition of foreign antigen by a gamma delta T-cell hybridoma

Distinct T-lymphocyte subsets recognize antigens in conjunction with different classes of major histocompatibility complex (MHC) glycoproteins using the T-cell receptor (TCR), a disulphide-linked heterodimer associated with the CD3 complex on the cell surface. In general, class I and class II MHC products provide a context for the recognition of foreign antigens by CD8+ and CD4+ T cells, respectively. This recognition seems to be largely dependent on alpha beta TCR heterodimers, whereas the function of the second gamma delta TCR, present on a minor subpopulation of cells, is still unknown. In the mouse, the existence of six cell-surface MHC class I products (K, D, L, Qa-1, Qa-2 and Tla) has been firmly established by serological, biochemical and genetic evidence. So far, only the most polymorphic of them, K, D and L ('classical' class I) have been reported as restriction elements for T-cell recognition of foreign antigens. The function of the relatively invariant Qa and Tla molecules remains unknown. We have made a T-helper cell hybridoma clone (DGT3) that recognizes synthetic copolymer poly(Glu50Tyr50) in the context of Qa-1 cell surface product, and has a CD4-CD8- phenotype. Our studies indicate that DGT3 cells express the gamma delta TCR on the cell surface, implicating its role in Qa-1-restricted antigen recognition. This is the first evidence that T cells can recognize foreign antigen in association with self Qa product, confirming that Qa molecules not only topologically, but also functionally, belong to the MHC.     

Asymmetric leaves1 mediates leaf patterning and stem cell function in Arabidopsis

Meristem function in plants requires both the maintenance of stem cells and the specification of founder cells from which lateral organs arise. Lateral organs are patterned along proximodistal, dorsoventral and mediolateral axes. Here we show that the Arabidopsis mutant asymmetric leaves1 (as1) disrupts this process. AS1 encodes a myb domain protein, closely related to PHANTASTICA in Antirrhinum and ROUGH SHEATH2 in maize, both of which negatively regulate knotted-class homeobox genes. AS1 negatively regulates the homeobox genes KNAT1 and KNAT2 and is, in turn, negatively regulated by the meristematic homeobox gene SHOOT MERISTEMLESS. This genetic pathway defines a mechanism for differentiating between stem cells and organ founder cells within the shoot apical meristem and demonstrates that genes expressed in organ primordia interact with meristematic genes to regulate shoot morphogenesis.     

Structural determinants of water permeation through aquaporin-1

Human red cell AQP1 is the first functionally defined member of the aquaporin family of membrane water channels. Here we describe an atomic model of AQP1 at 3.8A resolution from electron crystallographic data. Multiple highly conserved amino-acid residues stabilize the novel fold of AQP1. The aqueous pathway is lined with conserved hydrophobic residues that permit rapid water transport, whereas the water selectivity is due to a constriction of the pore diameter to about 3 A over a span of one residue. The atomic model provides a possible molecular explanation to a longstanding puzzle in physiology-how membranes can be freely permeable to water but impermeable to protons.     

Semaphorin 7A initiates T-cell-mediated inflammatory responses through alpha1beta1 integrin

Semaphorins are axon guidance factors that assist growing axons in finding appropriate targets and forming synapses. Emerging evidence suggests that semaphorins are involved not only in embryonic development but also in immune responses. Semaphorin 7A (Sema7A; also known as CD108), which is a glycosylphosphatidylinositol-anchored semaphorin, promotes axon outgrowth through beta1-integrin receptors and contributes to the formation of the lateral olfactory tract. Although Sema7A has been shown to stimulate human monocytes, its function as a negative regulator of T-cell responses has also been reported. Thus, the precise function of Sema7A in the immune system remains unclear. Here we show that Sema7A, which is expressed on activated T cells, stimulates cytokine production in monocytes and macrophages through alpha1beta1 integrin (also known as very late antigen-1) as a component of the immunological synapse, and is critical for the effector phase of the inflammatory immune response. Sema7A-deficient (Sema7a-/-) mice are defective in cell-mediated immune responses such as contact hypersensitivity and experimental autoimmune encephalomyelitis. Although antigen-specific and cytokine-producing effector T cells can develop and migrate into antigen-challenged sites in Sema7a-/- mice, Sema7a-/- T cells fail to induce contact hypersensitivity even when directly injected into the antigen-challenged sites. Thus, the interaction between Sema7A and alpha1beta1 integrin is crucial at the site of inflammation. These findings not only identify a function of Sema7A as an effector molecule in T-cell-mediated inflammation, but also reveal a mechanism of integrin-mediated immune regulation.     

T-cell receptor cross-linking transiently stimulates adhesiveness through LFA-1

Effective interaction between T cells and their targets requires that recognition of specific antigen be coordinated with increased cell-cell adhesion. We show that antigen-receptor cross-linking increases the strength of the adhesion mechanism between lymphocyte function-associated molecule-1 (LFA-1) and intercellular adhesion molecules (ICAMs), with intracellular signals transmitted from the T-cell antigen receptor to the LFA-1 adhesion molecule. The increase in avidity is rapid and transient, providing a dynamic mechanism for antigen-specific regulation of lymphocyte adhesion and de-adhesion.