In lily (Lilium formosanum) pollen tubes, pectin, a major component of the cell wall, is delivered through regulated exocytosis. The targeted transport and secretion of the pectin-containing vesicles may be controlled by the cortical actin fringe at the pollen tube apex. Here, we address the role of the actin fringe using three different inhibitors of growth: brefeldin A, latrunculin B, and pot...

The Notch signalling pathway plays an important role during the development of the wing primordium, especially of the wing blade and margin. In these processes, the activity of Notch is controlled by the activity of the dorsal specific nuclear protein Apterous, which regulates the expression of the Notch ligand, Serrate, and the Fringe signalling molecule. The other Notch ligand, Delta, also pl...

We consider sums of functions of fringe subtrees of binary search trees and random recursive trees (of total size n). The use of Stein’s method and certain couplings allow provision of simple proofs showing that in both of these trees, the number of fringe subtrees of size k < n, where k → ∞, can be approximated by a Poisson distribution. Combining these results and another version of Stein’s m...

A calibration method for micro-topographic measuring of a surface is described. Based on fringe projection using a stereo-microscope, an unmagnified Talbot self-image of a Ronchi ruling is imaged on the surface target through one of the microscope oculars. It is well-known that if a linear fringe pattern is projected on a surface object, the fringes are deformed according to its topography. The...

We propose a liquid crystal (LC)-based 3D optical surface profilometer that can utilize multiple fringe patterns to extract an enhanced 3D surface depth profile. To avoid the optical phase ambiguity and enhance the 3D depth extraction, 16 interference patterns were generated by the LC-based dynamic fringe pattern generator (DFPG) using four-step phase shifting and four-step spatial frequency va...

Two glycosyltransferases that transfer sugars to EGF domains, OFUT1 and Fringe, regulate Notch signaling. However, sites of O-fucosylation on Notch that influence Notch activation have not been previously identified. Moreover, the influences of OFUT1 and Fringe on Notch activation can be positive or negative, depending on their levels of expression and on whether Delta or Serrate is signaling t...

This survey studies asymptotics of random fringe trees and extended fringe trees in random trees that can be constructed as family trees of a Crump–Mode–Jagers branching process, stopped at a suitable time. This includes random recursive trees, preferential attachment trees, fragmentation trees, binary search trees and (more generally) m-ary search trees, as well as some other classes of random...

The fringe field effects on the transient characteristics of nano-electromechanical (NEM) memory cells have been discussed by using an analytical model. The influence of fringe field becomes stronger as the size of a cell decreases. By using the proposed model, the dependency of NEM memory transient characteristics on cell parameters has been evaluated.

Recent results show that in the developing Drosophila wing, the secreted pioneer protein Fringe regulates the sensitivity of the Notch signaling pathway to different ligands. This provides a likely mechanism by which Fringe-like molecules may control patterning in both Drosophila and vertebrates.

BACKGROUND Signalling via the Notch receptor is a key regulator of many developmental processes. The differential responsiveness of Notch-expressing cells to the ligands Delta and Serrate is controlled by Fringe, itself essential for normal patterning in Drosophila and vertebrates. The mechanism of Fringe action, however, is not known. The protein has an amino-terminal hydrophobic stretch resem...