We present an algorithm for computation of interpolatory splines of arbitrary order at triadic rational points. The algorithm is based on triadic subdivision of splines. Explicit expressions for the subdivision symbols are established. These are rational functions. The computations are implemented by recursive filtering.

Initial studies have established expression of low-density lipoprotein (LDL) receptor-related protein 6 (LRP6) in vascular smooth muscle cells (VSMCs). We hypothesized that LRP6 is a critical mediator governing the regulation of the canonical Wnt/beta-catenin/T cell factor 4 (Tcf-4) cascade in the vasculature. This hypothesis was based on our previous work demonstrating a role for the beta-cate...

Previously, we reported the isolation of cDNA clones representing four alternative splice forms of TCF-1, a T-cell-specific transcription factor. In the present study, Western blotting (immunoblotting) yielded a multitude of TCF-1 proteins ranging from 25-55 kDa, a pattern not simply explained from the known splice alternatives. Subsequent cDNA cloning, PCR amplification, and analysis by rapid ...

The Wnt/beta-catenin pathway is a conserved cell-cell signalling mechanism in animals that regulates gene expression via TCF/LEF DNA-binding factors to coordinate many cellular processes. Vertebrates normally have four Tcf/Lef genes, which, through alternative splicing and alternative promoter use give rise to a variety of TCF/LEF isoforms. Recent evidence from several experimental systems sugg...

T-cell factor/lymphoid enhancer factor (TCF/LEF) proteins regulate transcription by recruiting β-catenin and its associated co-regulators. Whether TCF/LEFs also recruit more factors through independent, direct interactions is not well understood. Here we discover Ring Finger Protein 14 (RNF14) as a new binding partner for all TCF/LEF transcription factors. We show that RNF14 positively regulate...

Secreted proteins of the Wnt family have profound organizing roles during animal development and are transduced via the activities of the Frizzled (Fz) class of transmembrane receptors and the TCF/LEF/Pangolin class of transcription factors. beta-catenins, including Drosophila Armadillo (Arm), link activation of Fz at the cell surface to transcriptional regulation by TCF in the nucleus. The con...

Lymphoid-enhancing factor/T-cell factors (LEF1/TCF) are a high-mobility group of transcriptional factors that play essential roles in cell fate determination during early embryogenesis and ontogenesis. Aberrant activations of LEF1/TCF-mediated transcription have been implicated in a variety of malignancies. Our recent studies on vertebrate embryogenesis identified Xom, a homeobox protein of the...

-Communication complexity scale (CCS)Brady et al., 2012 [1]was developed to assess the communication of individuals with intellectual disabilities and developmental disabilities who are mostly presymbolic communicators in the context of examiner-child scripted interaction. In the present study, CCS was adapted to assess communication oftwo typically developing children of 1.6 years age in unscr...