David I. Gottlieb

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The nonuniform convergence of the Fourier series for discontinuous functions, and in particular the oscillatory behavior of the finite sum, was already analyzed by Wilbraham in 1848. This was later named the Gibbs phenomenon. This article is a review of the Gibbs phenomenon from a different perspective. The Gibbs phenomenon, as we view it, deals with the(More)
Mouse embryonic stem (ES) cells cultured as aggregates and exposed to retinoic acid are induced to express multiple phenotypes normally associated with neurons. A large percentage of treated aggregates produce a rich neuritic outgrowth. Dissociating the induced aggregates with trypsin and plating the cells as a monolayer results in cultures in which a(More)
Transplantation approaches using cellular bridges, fetal central nervous system cells, fibroblasts expressing neurotrophin-3 (ref. 6), hybridoma cells expressing inhibitory protein-blocking antibodies, or olfactory nerves ensheathing glial cells transplanted into the acutely injured spinal cord have produced axonal regrowth or functional benefits.(More)
Most of the published work on the phenomenon of axoplasmic transport has been directed towards determining the site of synthesis and the chemical nature of materials involved, the mechanisms responsible for their movement, and the rates at which they are transported (see refs. 1, 23, 44, 49, 53 for reviews). However, following the suggestion of Taylor and(More)
The dentate gyrus of the rat contains about 600,000 granule cells. These small neurons are generated over a prolonged period from the 14th day of gestation until some time after the second postnatal week. The majority of the cells pass through their last phase of DNA synthesis in the postnatal period, and during the peak period of cell generation, between(More)
The purpose of this paper is to present asymptotically stable open boundary conditions for the numerical approximation of the compressible Navier-Stokes equations in three spatial dimensions. The treatment uses the conservation form of the NavierStokes equations and utilizes linearization and localization at the boundaries based on these variables. The(More)
Two monoclonal antibodies that cause changes in the morphology of cultured myogenic cells are described. Antibody JG9 causes myoblasts to round up and causes myotubes to become thin, cable-like structures with multiple round swellings. Antibody JG22 causes both myoblasts and myotubes to become round refractile cells poorly attached to the substratum. The(More)
It has been previously shown that the temporal integration of hyperbolic partial differential equations may , because of boundary conditions, lead to deterioration of accuracy of the solution. A procedure for removal of this error in the linear case has been established previously. In the present paper we consider hyperbolic p.d.e's (linear and non-linear)(More)
We examine the merits of using prolate spheroidal wave functions (PSWFs) as basis functions when solving hyperbolic PDEs using pseudospectral methods. The relevant approximation theory is reviewed and some new approximation results in Sobolev spaces are established. An optimal choice of the band-limit parameter for PSWFs is derived for single-mode(More)
A novel member of the cytochrome P450 superfamily, CYP26, which represents a new family of cytochrome P450 enzymes, has been cloned. CYP26 mRNA is up-regulated during the retinoic acid (RA)-induced neural differentiation of mouse embryonic stem cells in vitro and is transiently expressed by embryonic stem cells undergoing predominantly non-neural(More)