A conjecture on vanishing and non-negativity of intersection multiplicity on the blow-up of a regular local ring at its closed point has been proposed. Proofs of vanishing, several special cases of non-negativity and a sufficient condition for non-negativity of this conjecture are described. The topic on intersection multiplicity on vector bundles is also addressed. Introduction. Let X be a reg...

1,1-Bis(3'-indolyl)-1-(p-anisyl)methane (DIM-C-pPhOCH3) activates the orphan receptor nerve growth factor-induced Balpha (Nur77) in cancer cells, and in this study, DIM-C-pPhOCH3 decreased Panc1 pancreatic cancer cell survival and arrested cells in G0-G1. These responses were accompanied by induction of the cyclin-dependent kinase inhibitor p21 in pancreatic cancer cells. Mechanistic studies sh...

1,1-Bis(3′-indolyl)-1-(p-anisyl)methane (DIM-C-pPhOCH3) activates the orphan receptor nerve growth factor–induced Bα (Nur77) in cancer cells, and in this study, DIM-C-pPhOCH3 decreased Panc1 pancreatic cancer cell survival and arrested cells in G0-G1. These responses were accompanied by induction of the cyclin-dependent kinase inhibitor p21 in pancreatic cancer cells. Mechanistic studies showed...

We study the equivariant Gromov-Witten theory of a rank 2 vector bundle N over a nonsingular curve X of genus g: (i) We define a TQFT using the Gromov-Witten partition functions. The full theory is determined in the TQFT formalism from a few exact calculations. We use a reconstruction result proven jointly with C. Faber and A. Okounkov in the appendix. X and N is equipped with the anti-diagonal...

The Witten index for certain supersymmetric lattice models treated by de Boer, van Eerten, Fendley, and Schoutens, can be formulated as a topological invariant of simplicial complexes arising as independence complexes of graphs. We prove a general theorem on independence complexes using discrete Morse theory: If G is a graph and D a subset of its vertex set such that G\D is a forest, then P i d...

Three-dimensional nanoscale localization and tracking of dim single emitters can be obtained with a widefield fluorescence microscope exhibiting a double-helix point spread function (DH-PSF). We describe in detail how the localization precision quantitatively depends upon the number of photons detected and the z position of the nanoscale emitter, thereby showing a approximately 10 nm localizati...

q Ž . Fragmentation of the Na cluster-ion in collision with He in the 100 eV centre of mass energy range is investigated 3 theoretically. The dynamics study is split into two stages: the He–Naq encounter itself and the post-collisional motion of the 3 Naq cluster-ion. The first stage is treated semiclassically and involves a ‘frozen cluster approximation’. The second stage is 3 treated by a tra...

We study the equivariant Gromov-Witten theory of a rank 2 vector bundle N over a nonsingular curve X of genus g: (i) We define a TQFT using the Gromov-Witten partition functions. The full theory is determined in the TQFT formalism from a few exact calculations. We use a reconstruction result proven jointly with C. Faber and A. Okounkov in the appendix. X and N is equipped with the anti-diagonal...

BACKGROUND. Prostate cancer (PC) is the second leading cancer-related death in men in Western countries. Hence, efficient anti-carcinogenic and therapeutic compounds against PC are badly needed. We have previously shown that 3,30-diindolylmethane (DIM) has a suppressive effect on the growth of human breast and PC cell lines. The objective of this study was examination of the potential therapeut...

Background: Brassica vegetable consumption may confer a protective effect against cancer, possibly attributable to their glucosinolates. Glucobrassicin is a predominant glucosinolate and is the precursor of indole-3-carbinol (I3C), a compound with anticancer effects. However, objective assessments of I3C uptake from Brassica vegetables have not been successful. Methods: We conducted a randomize...