MicroRNA-381 Represses ID1 and is Deregulated in Lung Adenocarcinoma

MicroRNAs are small, noncoding RNAs that suppress gene expression by binding to the 3' untranslated region (UTR) and thereby repress translation or decrease messenger RNA stability. Inhibitor of differentiation 1 (ID1) is a putative stem-cell gene involved in invasion and angiogenesis. We previously showed that ID1 is regulated by Src kinases, overexpressed in human lung adenocarcinoma, and targeted by Src-dependent microRNAs. The current study focused on the association between miR-381 and ID1 in lung adenocarcinoma.

On restricted families of projections in ℝ3

We study projections onto non-degenerate one-dimensional families of lines and planes in R 3 . Using the classical potential theoretic approach of R. Kaufman, one can show that the Hausdorff dimension of at most 12 -dimensional sets [Math Processing Error] is typically preserved under one-dimensional families of projections onto lines. We improve the result by an ε , proving that if [Math Processing Error], then the packing dimension of the projections is almost surely at least [Math Processing Error]. For projections onto planes, we obtain a similar bound, with the threshold 12 replaced by 1 . In the special case of self-similar sets [Math Processing Error] without rotations, we obtain a full Marstrand-type projection theorem for 1-parameter families of projections onto lines. The [Math Processing Error] case of the result follows from recent work of M. Hochman, but the [Math Processing Error] part is new: with this assumption, we prove that the projections have positive length almost surely.