February 6, 2013
Books
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EBooks
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Adaptive Hierarchical Isogeometric Finite Element Methods
Black-Box Models of Computation in Cryptology
Business Statistics for Competitive Advantage with Excel 2010
Basics, Model Building, and Cases
Classical Mechanics with Mathematica®
The Classical Theory of Integral Equations
A Concise Treatment
Contributions in Analytic and Algebraic Number Theory
Festschrift for S. J. Patterson
Frontiers in Statistical Quality Control 10
Geometric Optimal Control
Theory, Methods and Examples
Homotopy Analysis Method in Nonlinear Differential Equations
Imagine Math
Between Culture and Mathematics
An Introduction to Inverse Limits with Set-valued Functions
Logic: A Brief Course
Mathematical and Statistical Methods for Actuarial Sciences and Finance
Missing Data
Analysis and Design
Representing Finite Groups
A Semisimple Introduction
Selected Aspects of Fractional Brownian Motion
Six Short Chapters on Automorphic Forms and L-functions
Solving Numerical PDEs: Problems, Applications, Exercises
Statistical Tools for Measuring Agreement
TransMath
Innovative Solutions from Mathematical Technology
Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
Visualization in Medicine and Life Sciences II
Progress and New Challenges
Journal Issues
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- Algebraic & Geometric Topology
- Chinese Annals of Mathematics, Series B
- Combinatorics, Probability and Computing
- Geometry & Topology
- Journal of Algebraic Combinatorics
- Mathematical Research Letters
- Mathematische Nachrichten
- Potential Analysis
- Primus
- Proceedings of the Royal Society of Edinburgh, Section A: Mathematics
- ZAMM
New Print Journal Issues
Annali Univ. Ferrara, v.57 no.1 May2011
Annali Univ. Ferrara, v.57 no.2 Nov2011
Annali Univ. Ferrara, v.58 no.1 May2011
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By UW Authors
Recent articles by authors in Math, Applied Math, and Statistics.
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Title: A Method for Estimating Zero-Flow Pressure and Intracranial Pressure |
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Author Full Names: Marzban, Caren; Illian, Paul R.; Morison, David; Moore, Anne; Kliot, Michel; Czosnyka, Marek; Mourad, Pierre D. |
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Source: JOURNAL OF NEUROSURGICAL ANESTHESIOLOGY, 25 (1):25-32; 10.1097/ANA.0b013e318263c295 JAN 2013 |
| Language: English |
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Abstract: Background: It has been hypothesized that the critical closing pressure of cerebral circulation, or zero-flow pressure (ZFP), can estimate intracranial pressure (ICP). One ZFP estimation method used extrapolation of arterial blood pressure as against blood-flow velocity. The aim of this study was to improve ICP predictions. |
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Title: Beta amyloid, tau, neuroimaging, and cognition: sequence modeling of biomarkers for Alzheimer's Disease |
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Author Full Names: Han, S. Duke; Gruhl, Jonathan; Beckett, Laurel; Dodge, Hiroko H.; Stricker, Nikki H.; Farias, Sarah; Mungas, Dan |
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Group Author(s): Alzheimer's Dis Neuroimaging |
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Source: BRAIN IMAGING AND BEHAVIOR, 6 (4):610-620; 10.1007/s11682-012-9177-0 DEC 2012 |
| Language: English |
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Abstract: Alzheimer's disease (AD) is associated with a cascade of pathological events involving formation of amyloid-based neuritic plaques and tau-based neurofibrillary tangles, changes in brain structure and function, and eventually, cognitive impairment and functional disability. The precise sequence of when each of these disease markers becomes abnormal is not yet clearly understood. The present study systematically tested the relationship between classes of biomarkers according to a proposed model of temporal sequence by Jack et al. (Lancet Neurology 9:119-128, 2010). We examined temporal relations among four classes of biomarkers: CSF A beta, CSF tau, neuroimaging variables (hippocampal volume, ventricular volume, FDG PET), and cognitive variables (memory and executive function). Random effects modeling of longitudinal data obtained from the Alzheimer's Disease Neuroimaging Initiative (ADNI) was used to test hypotheses that putative earlier markers of AD predicted change in lat! er markers, and that intervening markers reduced effects of earlier on later markers. Specifically, we hypothesized that CSF tau would explain CSF A beta's relation to neuroimaging and cognitive variables, and neuroimaging variables would explain tau's relation to cognitive variables. Consistent with hypotheses, results indicated that CSF A beta effects on cognition change were substantially attenuated by CSF tau and measures of brain structure and function, and CSF tau effects on cognitive change were attenuated by neuroimaging variables. Contrary to hypotheses, CSF A beta and CSF tau were observed to have independent effects on neuroimaging and CSF tau had a direct effect on baseline cognition independent of brain structure and function. These results have implications for clarifying the temporal sequence of AD changes and corresponding biomarkers. |
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Title: CSF biomarker associations with change in hippocampal volume and precuneus thickness: implications for the Alzheimer's pathological cascade |
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Author Full Names: Stricker, Nikki H.; Dodge, Hiroko H.; Dowling, N. Maritza; Han, S. Duke; Erosheva, Elena A.; Jagust, William J. |
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Group Author(s): Alzheimer's Dis Neuroimaging |
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Source: BRAIN IMAGING AND BEHAVIOR, 6 (4):599-609; 10.1007/s11682-012-9171-6 DEC 2012 |
| Language: English |
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Abstract: Neurofibrillary tangles (NFT) and amyloid plaques are hallmark neuropathological features of Alzheimer's disease (AD). There is some debate as to which neuropathological feature comes first in the disease process, with early autopsy studies suggesting that NFT develop first, and more recent neuroimaging studies supporting the early role of amyloid beta (A beta) deposition. Cerebrospinal fluid (CSF) biomarkers of A beta(42) and hyperphosphorylated tau (p-tau) have been shown to serve as in vivo proxy measures of amyloid plaques and NFT, respectively. The aim of this study was to examine the association between CSF biomarkers and rate of atrophy in the precuneus and hippocampus. These regions were selected because the precuneus appears to be affected early and severely by A beta deposition, and the hippocampus similarly by NFT pathology. We predicted (1) baseline A beta(42) would be related to accelerated rate of cortical thinning in the precuneus and volume loss in the hippoc! ampus, with the latter relationship expected to be weaker, (2) baseline p-tau(181p) would be related to accelerated rate of hippocampal atrophy and cortical thinning in the precuneus, with the latter relationship expected to be weaker. Using all ADNI cohorts, we fitted separate linear mixed-effects models for changes in hippocampus and precuneus longitudinal outcome measures with baseline CSF biomarkers modeled as predictors. Results partially supported our hypotheses: Both baseline p-tau(181p) and A beta(42) were associated with hippocampal atrophy over time. Neither p-tau(181p) nor A beta(42) were significantly related to cortical thinning in the precuneus over time. However, follow-up analyses demonstrated that having abnormal levels of both A beta(42) and p-tau(181p) was associated with an accelerated rate of atrophy in both the hippocampus and precuneus. Results support early effects of A beta in the Alzheimer's disease process, which are less apparent than and perhaps! dependent on p-tau effects as the disease progresses. However! , amyloi d deposition alone may be insufficient for emergence of significant morphometric changes and clinical symptoms. |
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Title: DIRICHLET HEAT KERNEL ESTIMATES FOR Delta(alpha/2) + Delta(beta/2) |
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Author Full Names: Chen, Zhen-Qing; Kim, Panki; Song, Renming |
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Source: ILLINOIS JOURNAL OF MATHEMATICS, 54 (4):1357-1392; SI WIN 2012 |
| Language: English |
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Abstract: For d >= 1 and 0 < beta < alpha < 2, consider a family of pseudo differential operators {Delta(alpha) + a(beta) Delta(beta/2); a is an element of [0, 1]} on R-d that evolves continuously from Delta(alpha/2) to Delta(alpha/2) + Delta(beta/2). It gives arise to a family of Levy processes {X-a, a is an element of [0, 1]} on R-d, where each X-a is the independent sum of a symmetric alpha-stable process and a symmetric beta-stable process with weight a. For any C-1,C-1 open set D subset of R-d, we establish explicit sharp two-sided estimates, which are uniform in a is an element of (0,1], for the transition density function of the subprocess X-a,X-D of X-a killed upon leaving the open set D. The infinitesimal generator of X-a,X-D is the nonlocal operator Delta(alpha) + a(beta) Delta(beta/2) with zero exterior condition on D-c. As consequences of these sharp heat kernel estimates, we obtain uniform sharp Green function estimates for X-a,X-D and uniform boundary Harnack! principle for X-a in D with explicit decay rate. |
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Title: NONUNIQUENESS FOR NONNEGATIVE SOLUTIONS OF PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS |
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Author Full Names: Burdzy, K.; Mueller, C.; Perkins, E. A. |
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Source: ILLINOIS JOURNAL OF MATHEMATICS, 54 (4):1481-1507; SI WIN 2012 |
| Language: English |
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Abstract: Pathwise nonuniqueness is established for nonnegative solutions of the parabolic stochastic pde |
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Title: Displaying Economic Value |
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Author Full Names: Marzban, Caren |
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Source: WEATHER AND FORECASTING, 27 (6):1604-1612; 10.1175/WAF-D-11-00138.1 DEC 2012 |
| Language: English |
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Abstract: The distinction between forecast quality and economic value in a cost loss formulation is well known. Also well known is their complex relationship, even with some instances of a reversal between the two, where higher quality is associated with lower economic value, and vice versa. It is reasonable to expect such counterintuitive results when forecast quality and economic value both, multifaceted quantities are summarized by single scalar measures. Diagrams are often used to display forecast quality in order to better represent the multidimensional nature of forecast quality. Here, it is proposed that economic value be displayed as a region on a plot of hit rate versus false-alarm rate. Such a display obviates any need to summarize economic value by a scalar measure. The choice of the axes is motivated by the relative operating characteristic (ROC) diagram, and, so, this manner of displaying economic value is useful for deterministic as well as probabilistic forecasts. |


