Existence, positivity and stability for a nonlinear model of cellular proliferation

In this paper, we investigate a system of two nonlinear partial differential equations, arising from a model of cellular proliferation which describes the production of blood cells in the bone marrow. Due to cellular replication, the two partial differential equations exhibit a retardation of the maturation variable and a temporal delay depending on this maturity. We show that this model has a unique solution which is global under a classical Lipschitz condition. We also obtain the positivity of the solutions and the local and global stability of the trivial equilibrium

Power Spectra for Galaxy Shape Correlations

It has recently been argued that the observed ellipticities of galaxies may be determined at least in part by the primordial tidal gravitational field in which the galaxy formed. Long-range correlations in the tidal field could thus lead to an ellipticity-ellipticity correlation for widely separated galaxies. I present results of a calculation of the angular power spectrum of intrinsic galaxy shape correlations using a new model relating ellipticity to angular momentum. I show that for low redshift galaxy surveys, the model predicts that intrinsic correlations will dominate correlations induced by weak lensing, in good agreement with previous theoretical work and observations. The model also produces `E-mode' correlations enhanced by a factor of 3.5 over `B-modes' on small scales, making it harder to disentangle intrinsic correlations from weak lensing.Comment: 4 pages, 1 figure. in ``The Shapes of Galaxies and Their Dark Halos,'' Yale Cosmology Workshop, Ed. P. Natarajan (New Haven CT, May 2001). Revised web version corrects lensing curve normalisation in fig.1; text as publishe

From introspections, brain scans, and memory tests to the role of social context:advancing research on interaction and learning

The goal of this epilogue is to use the methodological contributions of the studies presented in this special issue as a starting point for suggestions about methodology in conducting future interaction research. As is the case in most developing fields, interaction research develops methods internally as it continually borrows and extends techniques used in other disciplines and revitalizes older techniques by adding new or different angles unique to interaction. Interaction researchers have also begun to forge relationships in new areas (e.g., by working with psychologists and developing working memory [WM] tests). This sort of cooperation is an important step in the drive to uncover more information about the relationship between interaction and learning. As several contributors to this special issue have noted, the most recent advances in methodology have been driven by questions about how interaction works (as opposed to whether it works). In turn, some of the methodological innovations discussed here will also ultimately allow new questions to be asked. Indeed, the relationship between questions (i.e., suggestions about what needs to be investigated next) and methods (i.e., plans for how to carry out such investigations) is particularly close in interaction research, which is a relatively new but vibrant and quickly developing area. Consequently, this epilogue considers both methods and questions conjointly, beginning with a discussion of methodological issues in the most recent theorizing about the interaction hypothesis

Brexit outcome unlikely to satisfy anyone

https://www.bu.edu/bostonia/2016/brexit-eu-referendum/Published versio

What it Means To Be a Man: A Character Study of Macduff

In this thesis I will be discussing my process as an actor when approaching a role, specifically the role of Macduff in William Shakespeare’s, Macbeth. I will include a character/script/event analysis as well as a journal of my experiences during the rehearsal process. I will also include production photos, programs, a link to my website, and my headshot and resume at the end

The Core Film Collection: 500 Titles Selected by the FLIC Board for a Medium-Sized Public Library

published or submitted for publicatio

Numerical Control Machine Data Manual

Numerical Control Machine Data Manual provides programmers with specific information for various types and sizes of numerical control machine tools and auxiliary equipment