72 research outputs found
The enumeration of simultaneous higher-order contacts between plane curves
Using the Semple bundle construction, we derive an intersection-theoretic
formula for the number of simultaneous contacts of specified orders between
members of a generic family of degree plane curves and finitely many fixed
curves. The contacts counted by the formula occur at nonsingular points of both
the members of the family and the fixed curves.Comment: 32 pages, AmS-TeX v2.1 (Revised statement and proof of one lemma;
other minor changes.
Cartan Prolongation of a Family of Curves Acquiring a Node
Using the monster/Semple tower construction, we study the structure of the
Cartan prolongation of the family of plane curves with nodal
central member
Review: The Mathematics of Sex: How Biology and Society Conspire to Limit Talented Women and Girls
The structural invariants of Goursat distributions
This is the first of a pair of papers devoted to the local invariants of
Goursat distributions. The study of these distributions naturally leads to a
tower of spaces over an arbitrary surface, called the monster tower, and thence
to connections with the topic of singularities of curves on surfaces. Here we
study those invariants of Goursat distributions akin to those of curves on
surfaces, which we call structural invariants. In the subsequent paper we will
relate these structural invariants to the small-growth invariants.Comment: 35 pages, 6 figure
Recommendations for the transition of patients with ADHD from child to adult healthcare services:a consensus statement from the UK adult ADHD network
The aim of this consensus statement was to discuss transition of patients with ADHD from child to adult healthcare services, and formulate recommendations to facilitate successful transition. An expert workshop was convened in June 2012 by the UK Adult ADHD Network (UKAAN), attended by a multidisciplinary team of mental health professionals, allied professionals and patients. It was concluded that transitions must be planned through joint meetings involving referring/receiving services, patients and their families. Negotiation may be required to balance parental desire for continued involvement in their childâs care, and the childâs growing autonomy. Clear transition protocols can maintain standards of care, detailing relevant timeframes, responsibilities of agencies and preparing contingencies. Transition should be viewed as a process not an event, and should normally occur by the age of 18, however flexibility is required to accommodate individual needs. Transition is often poorly experienced, and adherence to clear recommendations is necessary to ensure effective transition and prevent drop-out from services
Sexual and reproductive health and human rights of women living with HIV
Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/138378/1/jia20834-sup-0001.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/138378/2/jia20834.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/138378/3/jia20834-sup-0002.pd
International genome-wide meta-analysis identifies new primary biliary cirrhosis risk loci and targetable pathogenic pathways.
Primary biliary cirrhosis (PBC) is a classical autoimmune liver disease for which effective immunomodulatory therapy is lacking. Here we perform meta-analyses of discovery data sets from genome-wide association studies of European subjects (n=2,764 cases and 10,475 controls) followed by validation genotyping in an independent cohort (n=3,716 cases and 4,261 controls). We discover and validate six previously unknown risk loci for PBC (Pcombined<5 Ă 10(-8)) and used pathway analysis to identify JAK-STAT/IL12/IL27 signalling and cytokine-cytokine pathways, for which relevant therapies exist
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