The Lawrence-Krammer representation of the braid groups recently came to prominence when it was shown to be faithful by myself and Krammer. It is an action of the braid group on a certain homology module H2(C̃) over the ring of Laurent polynomials in q and t . In this paper we describe some surfaces in C̃ representing elements of homology. We use these to give a new proof that H2(C̃) is a free mod...

‎we consider two commutativity ratios $pr(g)$ and $f(g)$ in a finite group $g$‎ ‎and examine the properties of $g$ when these ratios are `large'‎. ‎we show that‎ ‎if $pr(g) > frac{7}{24}$‎, ‎then $g$ is metabelian and we give threshold‎ ‎results in the cases where $g$ is insoluble and $g'$ is nilpotent‎. ‎we also‎ ‎show that if $f(g) > frac{1}{2}$‎, ‎then $f(g) = frac{n+1}{2n}$‎, ‎for some‎ ‎na...

BACKGROUND HER-2/neu, which encodes a receptor tyrosine kinase, is amplified and overexpressed in 20%-25% of human breast cancers. Such tumors are often resistant to hormone therapy. Despite a general inverse association between HER-2/neu amplification/overexpression and estrogen receptor (ER) and/or progesterone receptor (PR) expression, a fraction of patients are both HER-2/neu- and hormone r...

BACKGROUND The aim of the present study was to evaluate cases in which intussusception was unsuccessfully treated with pneumatic reduction (PR), and intussusception recurred following PR. METHODS The medical records of 401 patients who presented with intussusception between 2003 and 2014 were retrospectively analyzed. Included were 61 patients, 20 of whom underwent unsuccessful PR (Group 1), ...

Progesterone action contributes to the signaling of many growth factor pathways relevant to breast cancer tumor biology, including the insulin-like growth factor (IGF) system. Previous work has shown that insulin receptor substrate-2 (IRS-2) but not IRS-1 levels were regulated by progestin in progesterone receptor-B (PR-B) isoform expressing MCF-7 cells (C4-12 PR-B). Furthermore, type 1 IGF rec...

Etiologic differences between subtypes of breast cancer defined by estrogen receptor (ER) and progesterone receptor (PR) status are not well understood. The authors evaluated associations of hormone-related factors with breast cancer subtypes in a population-based case-control study involving 1,409 ER-positive (ER+)/PR-positive (PR+) cases, 712 ER-negative (ER-)/PR-negative (PR-) cases, 301 ER+...

Pelvic rotation (PR) is commonly seen in patients with idiopathic scoliosis (IS), but factors contributing to this phenomenon and its relationship with the surgical outcome are not well established.This retrospective study included 85 IS patients in 2 groups: thoracic curve dominance group (group A) and lumbar curve dominance group (group B). Pre- and postoperative PR was measured on standing p...

H. Moriguchi, M. A. Griswold, J. L. Sunshine, J. L. Duerk Radiology, University Hospitals of Cleveland / Case Western Reserve University, Cleveland, OH, United States Introduction: Projection reconstruction (PR) acquisitions have re-emerged in MRI since they have several advantages over rectilinear acquisition methods. First, images reconstructed from PR acquisitions show reduced motion artifac...

The asymmetric unit of title compound, [Pr(NCS)(3)(C(15)H(15)NO(2))(3)]·H(2)O, consists of three Schiff base 2-meth-oxy-6-[(4-methyl-phen-yl)imino-meth-yl]phenol (HL) ligands, three independent thio-cyanate anions and an uncoordinated water mol-ecule. The Pr(III) ion is nine-coordinated. The thio-cyanate anions coordinate to the Pr(III) ion via the N atoms and the three HL ligands chelate the P...

1. Centro Universitário Cesumar – Unicesumar – Maringá (PR) Brasil. 2. Programa de Pós-Graduação em Ciências da Saúde, Universidade Estadual de Maringá, Maringá (PR) Brasil. 3. Hospital Paraná, Maringá (PR) Brasil. 4. University of Louisville School of Medicine, Louisville (KY) USA. 5. Laboratório de Micologia Médica, Departamento de Análises Clínicas, Universidade Estadual de Maringá, Maringá ...