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The paper is concerned with a construction for H–bases of polynomial ideals without relying on term orders. The main ingredient is a homogeneous reduction algorithm which orthogonalizes leading terms instead of completely canceling them. This allows for an extension of Buchberger's algorithm to construct these H–bases algorithmically. In addition, the close(More)
Continuously proliferating cells exactly double their mass during each cell cycle. Here we have addressed the controversial question of if and how cell size is sensed and regulated. We used erythroblasts that proliferate under the control of a constitutively active oncogene (v-ErbB) or under the control of physiological cytokines (stem cell factor,(More)
Lagrange interpolation by polynomials in several variables is studied through a nite diierences approach. We establish an interpolation formula analogous to that of Newton and a remainder formula, both of them in terms of the nite diierences. We prove that the nite diierence admits an integral representation involving sim-plex spline functions. In(More)
AIMS Results from clinical trials suggest that cardiac function after acute myocardial infarction (AMI) can be enhanced by an intracoronary infusion of autologous unselected nucleated bone marrow cells (BMCs). Release of paracrine factors has been proposed as a mechanism for these therapeutic effects; however, this hypothesis has not been tested in humans.(More)
In many cases, nonviral particle-mediated gene delivery is highly dependent on the cell cycle status of transfected cells. Here we compare particle-mediated delivery with linear polyethylenimine (PEI) and physical transfer of DNA by electroporation with branched PEI and lipofection for their ability to transfect cells at different stages of the cell cycle.(More)
PURPOSE To compare the tilt and decentration of a single-piece aspheric intraocular lens (IOL) and the position of the natural crystalline lens in young individuals. SETTING Department of Ophthalmology, Knappschafts Hospital, Sulzbach, Germany. METHODS This prospective noncomparative single-center study included volunteers younger than 40 years with no(More)
We study the problem of Hermite interpolation by polynomials in several variables. A very general deenition of Hermite interpolation is adopted which consists of interpolation of consecutive chains of directional derivatives. We discuss the structure and some aspects of poisedness of the Hermite interpolation problem; using the notion of blockwise structure(More)