Ergodic theorems along sequences and Hardy fields.

Let a(x) be a real function with a regular growth as x --> infinity. [The precise technical assumption is that a(x) belongs to a Hardy field.] We establish sufficient growth conditions on a(x) so that the sequence ([a(n)])(infinity)(n=1) is a good averaging sequence in L2 for the pointwise ergodic theorem. A sequence (an) of positive integers is a good averaging sequence in L2 for the pointwise ergodic theorem if in any dynamical system (Omega, Sigma, m, T) for f [symbol, see text] in L2(Omega) the averages [equation, see text] converge for almost every omicron in. Our result implies that sequences like ([ndelta]), where delta > 1 and not an integer, ([n log n]), and ([n2/log n]) are good averaging sequences for L2. In fact, all the sequences we examine will turn out to be good averaging for Lp, p > 1; and even for L log L. We will also establish necessary and sufficient growth conditions on a(x) so that the sequence ([a(n)]) is good averaging for mean convergence. Note that for some a(x) (e.g., a(x) = log2 x), ([a(n)]) may be good for mean convergence without being good for pointwise convergence.

Function of von Willebrand factor after crossed bone marrow transplantation between normal and von Willebrand disease pigs: effect on arterial thrombosis in chimeras.

von Willebrand factor (vWF) is essential for the induction of occlusive thrombosis in stenosed and injured pig arteries and for normal hemostasis. To separate the relative contribution of plasma and platelet vWF to arterial thrombosis, we produced chimeric normal and von Willebrand disease pigs by crossed bone marrow transplantation; von Willebrand disease (vWD) pigs were engrafted with normal pig bone marrow and normal pigs were engrafted with vWD bone marrow. Thrombosis developed in the chimeric normal pigs that showed normal levels of plasma vWF and an absence of platelet vWF; but no thrombosis occurred in the chimeric vWD pigs that demonstrated normal platelet vWF and an absence of plasma vWF. The ear bleeding times of the chimeric pigs were partially corrected by endogenous plasma vWF but not by platelet vWF. Our animal model demonstrated that vWF in the plasma compartment is essential for the development of arterial thrombosis and that it also contributes to the maintenance of bleeding time and hemostasis.

Orientation in operator algebras

A concept of orientation is relevant for the passage from Jordan structure to associative structure in operator algebras. The research reported in this paper bridges the approach of Connes for von Neumann algebras and ourselves for C*-algebras in a general theory of orientation that is of geometric nature and is related to dynamics.

Defect in regulated secretion of P-selectin affects leukocyte recruitment in von Willebrand factor-deficient mice

Stimulation of endothelial cells by various inflammatory mediators leads to release of Weibel–Palade bodies and therefore to exocytosis of both P-selectin (adhesion receptor for leukocytes) and von Willebrand factor (vWf) (platelet ligand). The potential role of vWf in leukocyte recruitment was investigated with the use of vWf-deficient mice. We report a strong reduction of leukocyte rolling in venules of vWf-deficient mice. Similarly, vWf deficiency led to a decrease in neutrophil recruitment in a cytokine-induced meningitis model as well as in early skin wounds. In all instances with an antibody that preferentially recognizes plasma membrane P-selectin, we observed a dramatic reduction in P-selectin expression at the cell surface of vWf-deficient endothelium. With confocal microscopy, we found that the typical rodlike shape of the Weibel–Palade body is missing in vWf −/− endothelial cells and that part of the P-selectin content in the vWf −/− cells colocalized with LAMP-1, a lysosomal marker. However, intracellular P-selectin levels were similar in tumor necrosis factor α- and lipopolysaccharide-activated cells of both genotypes. We conclude that the absence of vWf, as found in severe von Willebrand disease, leads to a defect in Weibel–Palade body formation. This defect results in decreased P-selectin translocation to the cell surface and reduced leukocyte recruitment in early phases of inflammation.

Prime factors

We use Voiculescu’s free probability theory to prove the existence of prime factors, hence answering a longstanding problem in the theory of von Neumann algebras.

Localization of α1,3-fucosyltransferase VI in Weibel–Palade bodies of human endothelial cells

Surface glycosylation of endothelial cells is relevant to various processes including coagulation, inflammation, metastasis, and lymphocyte homing. One of the essential sugars involved in these processes is fucose linked α1→3 to N-acetylglucosamine. A family of α1,3-fucosyltransferases (FucTs) called FucT-III, IV, V, VI, VII, and IX is able to catalyze such fucosylations. Reverse transcription–PCR analysis revealed that human umbilical vein endothelial cells express all of the FucTs except FucT-IX. The predominant activity, as inferred by acceptor specificity of enzyme activity in cell lysates, is compatible with the presence of FucT-VI. By using an antibody to recombinant soluble FucT-VI, the enzyme colocalized with β4-galactosyltransferase-1 to the Golgi apparatus. By using a polyclonal antiserum raised against a 17-aa peptide of the variable (stem) region of the FucT-VI, immunocytochemical staining of FucT-VI was restricted to Weibel–Palade bodies, as determined by colocalization with P-selectin and von Willebrand factor. SDS/PAGE immunoblotting and amino acid sequencing of internal peptides confirmed the identity of the antigen isolated by the peptide-specific antibody as FucT-VI. Storage of a fucosyltransferase in Weibel–Palade bodies suggests a function independent of Golgi-associated glycosylation.

Escherichia coli RNA polymerase terminates transcription efficiently at rho-independent terminators on single-stranded DNA templates

Several models have been proposed for the mechanism of transcript termination by Escherichia coli RNA polymerase at rho-independent terminators. Yager and von Hippel (Yager, T. D. & von Hippel, P. H. (1991) Biochemistry 30, 1097–118) postulated that the transcription complex is stabilized by enzyme–nucleic acid interactions and the favorable free energy of a 12-bp RNA–DNA hybrid but is destabilized by the free energy required to maintain an extended transcription bubble. Termination, by their model, is viewed simply as displacement of the RNA transcript from the hybrid helix by reformation of the DNA helix. We have proposed an alternative model where the RNA transcript is stably bound to RNA polymerase primarily through interactions with two single-strand specific RNA-binding sites; termination is triggered by formation of an RNA hairpin that reduces binding of the RNA to one RNA-binding site and, ultimately, leads to its ejection from the complex. To distinguish between these models, we have tested whether E. coli RNA polymerase can terminate transcription at rho-independent terminators on single-stranded DNA. RNA polymerase cannot form a transcription bubble on these templates; thus, the Yager–von Hippel model predicts that intrinsic termination will not occur. We find that transcript elongation on single-stranded DNA templates is hindered somewhat by DNA secondary structure. However, E. coli RNA polymerase efficiently terminates and releases transcripts at several rho-independent terminators on such templates at the same positions as termination occurs on duplex DNAs. Therefore, neither the nontranscribed DNA strand nor the transcription bubble is essential for rho-independent termination by E. coli RNA polymerase.

Balanced branching in transcription termination

The theory of stochastic transcription termination based on free-energy competition [von Hippel, P. H. & Yager, T. D. (1992) Science 255, 809–812 and von Hippel, P. H. & Yager, T. D. (1991) Proc. Natl. Acad. Sci. USA 88, 2307–2311] requires two or more reaction rates to be delicately balanced over a wide range of physical conditions. A large body of work on glasses and large molecules suggests that this balancing should be impossible in such a large system in the absence of a new organizing principle of matter. We review the experimental literature of termination and find no evidence for such a principle, but do find many troubling inconsistencies, most notably, anomalous memory effects. These effects suggest that termination has a deterministic component and may conceivably not be stochastic at all. We find that a key experiment by Wilson and von Hippel [Wilson, K. S. & von Hippel, P. H. (1994) J. Mol. Biol. 244, 36–51] thought to demonstrate stochastic termination was an incorrectly analyzed regulatory effect of Mg2+ binding.

Methylation-specific PCR: a novel PCR assay for methylation status of CpG islands.

Precise mapping of DNA methylation patterns in CpG islands has become essential for understanding diverse biological processes such as the regulation of imprinted genes, X chromosome inactivation, and tumor suppressor gene silencing in human cancer. We describe a new method, MSP (methylation-specific PCR), which can rapidly assess the methylation status of virtually any group of CpG sites within a CpG island, independent of the use of methylation-sensitive restriction enzymes. This assay entails initial modification of DNA by sodium bisulfite, converting all unmethylated, but not methylated, cytosines to uracil, and subsequent amplification with primers specific for methylated versus unmethylated DNA. MSP requires only small quantities of DNA, is sensitive to 0.1% methylated alleles of a given CpG island locus, and can be performed on DNA extracted from paraffin-embedded samples. MSP eliminates the false positive results inherent to previous PCR-based approaches which relied on differential restriction enzyme cleavage to distinguish methylated from unmethylated DNA. In this study, we demonstrate the use of MSP to identify promoter region hypermethylation changes associated with transcriptional inactivation in four important tumor suppressor genes (p16, p15, E-cadherin, and von Hippel-Lindau) in human cancer.

Transcription termination at intrinsic terminators: the role of the RNA hairpin.

Intrinsic termination of transcription in Escherichia coli involves the formation of an RNA hairpin in the nascent RNA. This hairpin plays a central role in the release of the transcript and polymerase at intrinsic termination sites on the DNA template. We have created variants of the lambda tR2 terminator hairpin and examined the relationship between the structure and stability of this hairpin and the template positions and efficiencies of termination. The results were used to test the simple nucleic acid destabilization model of Yager and von Hippel and showed that this model must be modified to provide a distinct role for the rU-rich sequence in the nascent RNA, since a perfect palindromic sequence that is sufficiently long to form an RNA hairpin that could destabilize the entire putative 12-bp RNA-DNA hybrid does not trigger termination at the expected positions. Rather, our results show that both a stable terminator hairpin and the run of 6-8 rU residues that immediately follows are required for effective intrinsic termination and that termination occurs at specific and invariant template positions relative to these two components. Possible structural or kinetic modifications of the simple model are proposed in the light of these findings and of recent results implicating "inchworming" and possible conformational heterogeneity of transcription complexes in intrinsic termination. Thus, these findings argue that the structure and dimensions of the hairpin are important determinants of the termination-elongation decision and suggest that a complete mechanism is likely to involve specific interactions of the polymerase, the RNA terminator hairpin, and, perhaps, the dT-rich template sequence that codes for the run of rU residues at the 3' end of the nascent transcript.

Incremental lines of von Ebner in dinosaurs and the assessment of tooth replacement rates using growth line counts

Dinosaur dentine exhibits growth lines that are tens of micrometers in width. These laminations are homologous to incremental lines of von Ebner found in extant mammal and crocodilian teeth (i.e., those of amniotes). The lines likely reflect daily dentine formation, and they were used to infer tooth development and replacement rates. In general, dinosaur tooth formation rates negatively correlated with tooth size. Theropod tooth replacement rates negatively correlated with tooth size, which was due to limitations in the dentine formation rates of their odontoblasts. Derived ceratopsian and hadrosaurian dinosaurs retained relatively rapid tooth replacement rates through ontogeny. The evolution of dental batteries in hadrosaurs and ceratopsians can be explained by dentine formation constraints and rapid tooth wear. In combination with counts of shed dinosaur teeth, tooth replacement rate data can be used to assess population demographics of Mesozoic ecosystems. Finally, it is of historic importance to note that Richard Owen appears to have been the first to observe incremental lines of von Ebner in dinosaurs more than 150 years ago.

Role of transforming growth factor-α in von Hippel– Lindau (VHL)−/− clear cell renal carcinoma cell proliferation: A possible mechanism coupling VHL tumor suppressor inactivation and tumorigenesis

Mutations of the VHL tumor suppressor gene occur in patients with VHL disease and in the majority of sporadic clear cell renal carcinomas (VHL−/− RCC). Loss of VHL protein function is associated with constitutive expression of mRNAs encoding hypoxia-inducible proteins, such as vascular endothelial growth factor. Overproduction of angiogenic factors might explain why VHL−/− RCC tumors are so highly vascularized, but whether this overproduction is sufficient for oncogenesis still remains unknown. In this report, we examined the activity of transforming growth factor-α (TGF-α), another VHL-regulated growth factor. We show that TGF-α mRNA and protein are hypoxia-inducible in VHL−/− RCC cells expressing reintroduced VHL. In addition to its overexpression by VHL−/− RCC cells, TGF-α can also act as a specific growth-stimulatory factor for VHL−/− RCC cells expressing reintroduced wild-type VHL, as well as primary renal proximal tubule epithelial cells, the likely site of origin of RCC. This role is in contrast to those of other growth factors overexpressed by VHL−/− RCC cells, such as vascular endothelial growth factor and TGF-β1, which do not stimulate RCC cell proliferation. A TGF-α-specific antisense oligodeoxynucleotide blocked TGF-α production in VHL−/− RCC cells, which led to the dependence of those cells on exogenous growth factors to sustain growth in culture. Growth of VHL−/− RCC cells was also significantly reduced by a drug that specifically inhibits the epidermal growth factor receptor, the receptor through which TGF-α stimulates proliferation. These results suggest that the generation of a TGF-α autocrine loop as a consequence of VHL inactivation in renal proximal tubule epithelial cells may provide the uncontrolled growth stimulus necessary for the initiation of tumorigenesis.