Inversion of analytic characteristic functions and infinite convolutions of exponential and Laplace densities

This paper shows that certain quotients of entire functions are characteristic functions. Under some conditions, we provide expressions for the densities of such characteristic functions which turn out to be generalized Dirichlet series which in turn can be expressed as an infinite linear combination of exponential or Laplace densities. We apply these results to several examples.

On rigid analytic uniformizations of Jacobians of Shimura curves

The main goal of this article is to give an explicit rigid analytic uniformization of the maximal toric quotient of the Jacobian of a Shimura curve over Q at a prime dividing exactly the level. This result can be viewed as complementary to the classical theorem of Cerednik and Drinfeld which provides rigid analytic uniformizations at primes dividing the discriminant. As a corollary, we offer a proof of a conjecture formulated by M. Greenberg in hispaper on Stark-Heegner points and quaternionic Shimura curves, thus making Greenberg's construction of local points on elliptic curves over Q unconditional.

How to improve the formal analytic reasoning and scientific motivation in the intellectual training of medical students

A review article of the The New England Journal of Medicine refers that almost a century ago, Abraham Flexner, a research scholar at the Carnegie Foundation for the Advancement of Teaching, undertook an assessment of medical education in 155 medical schools in operation in the United States and Canada. Flexner’s report emphasized the nonscientific approach of American medical schools to preparation for the profession, which contrasted with the university-based system of medical education in Germany. At the core of Flexner’s view was the notion that formal analytic reasoning, the kind of thinking integral to the natural sciences, should hold pride of place in the intellectual training of physicians. This idea was pioneered at Harvard University, the University of Michigan, and the University of Pennsylvania in the 1880s, but was most fully expressed in the educational program at Johns Hopkins University, which Flexner regarded as the ideal for medical education. (...)

Hierarchy of Notch-Delta interactions promoting T cell lineage commitment and maturation.

Notch1 (N1) receptor signaling is essential and sufficient for T cell development, and recently developed in vitro culture systems point to members of the Delta family as being the physiological N1 ligands. We explored the ability of Delta1 (DL1) and DL4 to induce T cell lineage commitment and/or maturation in vitro and in vivo from bone marrow (BM) precursors conditionally gene targeted for N1 and/or N2. In vitro DL1 can trigger T cell lineage commitment via either N1 or N2. N1- or N2-mediated T cell lineage commitment can also occur in the spleen after short-term BM transplantation. However, N2-DL1-mediated signaling does not allow further T cell maturation beyond the CD25(+) stage due to a lack of T cell receptor beta expression. In contrast to DL1, DL4 induces and supports T cell commitment and maturation in vitro and in vivo exclusively via specific interaction with N1. Moreover, comparative binding studies show preferential interaction of DL4 with N1, whereas binding of DL1 to N1 is weak. Interestingly, preferential N1-DL4 binding reflects reduced dependence of this interaction on Lunatic fringe, a glycosyl transferase that generally enhances the avidity of Notch receptors for Delta ligands. Collectively, our results establish a hierarchy of Notch-Delta interactions in which N1-DL4 exhibits the greatest capacity to induce and support T cell development.

AHP Position Statement (PDF 46 KB)

Research and Development in the Professions Allied to Medicine within NI

Engagement Plan: Review of AHP Support for Children with Statements of Special Educational Needs in Special Schools and Mainstream Education

This engagement plan outlines the collaborative and partnership approach with key stakeholders in the first phase of the Review of AHP Support for Children with Statements of Special Educational Needs in Special Schools and Mainstream Education. It provides detail on how communication objectives will be met.It gives information on:Stakeholder Analysis for Phase One of the ReviewMembership of the Project BoardMembership of the Professional Stakeholder Reference Group

Terms of Reference for Project: Review of AHP Support for Children with Statements of Special Educational Needs in Special Schools and Mainstream Education

This is the Terms of Reference for the review of Allied Health Professional (AHP) support for children/young people with statements of special educational needs.It outlines expectations of the review and should be read in conjunction with the Project Initiation Document (PID) for Phase 1of the review, the Terms of Reference for the Project Board and the Engagement Plan for phase 1.

Terms of reference for Project Board: Review of AHP Support for Children with Statements of Special Educational Needs in Special Schools and Mainstream Education

This is the Terms of Reference for the Project Board of the review of Allied Health Professions (AHP) support for children/young people with statements of special educational needs.It outlines the:Purpose of the Project BoardResponsibilities of the Project BoardMembership of the Project Board

Phase 2 Parent/Carer Questionnaire: Review of Allied Health Professions��' (AHP) support for children/young people with a statement of special educational needs

We want to know what you think about the AHP services for your child. We will also seek views of AHPs and teachers who work with your children and we will use them all to inform our decisions. This phase of the review is focusing on current AHP services for children/young people with a statement of special educational needs enrolled in mainstream schools and learning support centres/units attached to a mainstream school.

Review of AHP Support for Children with Statements of Special Educational Needs in Special Schools and Mainstream Education: Phase 2 Engagement Plan

This engagement plan outlines the collaborative and partnership approach with key stakeholders in the second phase of the Review of AHP Support for Children with Statements of Special Educational Needs in Special Schools and Mainstream Education. It provides detail on how communication objectives will be met. It gives information on: Stakeholder Analysis for Phase Two of the Review Membership of the Project Board Membership of the Professional Stakeholder Reference Group

Summary Interim Report on Findings and Interim Themes from Phase 1 of the review of Allied Health Professions (AHP) support for children/young people with a statement of special educational needs (SEN)

Summary Interim Report on Findings and Interim Themes from Phase 1 of the review of Allied Health Professions (AHP) support for children/young people with a statement of special educational needs (SEN)This interim report is outlining the service principles agreed by the Project Board and the themes identified throughout engagement and information gathering.

AHP Services Data Definitions Guidance June 2015

Allied Health Professionals work with all age groups and conditions and are trained to assess, diagnose, treat and rehabilitate people with health and social care needs. They work in a range of settings including hospital, community, education, housing, independent and voluntary sectors.