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Telepsychiatry:The Evaluation and Treatment of Seniors in Rural Retirement Communities

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Journal of Geriatric Medicine 2019年第2期1卷 23-31页

作者： Susanne Inez Steinberg Robert Gallop Medical Director&Psychiatrist Penn Med Princeton House Behavioral Health MoorestownNJ 08057United States Applied Statistics Program Department of MathematicsWest Chester UniversityWest ChesterPA 19383United States

Few studies examine the benefits from geriatric telepsychiatry in rural retirement ***:*** demonstrate that using telepsychiatry(a)standard approaches to psychiatric evaluation would yield diagnoses in Diagnostic and Statistical Manual of Mental Disorders(DSM-V);(b)psychotherapies and pharmacotherapy could be effectively *** examine the relationships among cognition,mood,agitation and functions at baseline and the response to treatment over ***:Prospective longitudinal ***:Geriatric Depression scale(GDS),Mini Mental State Exam(MMSE),Barthel Index(BI),Pittsburgh Agitation Scale(PAS).Setting:Video ***:Psychotherapy,***:428 Seniors over 55,met criteria for at least one DSM-V ***:Treatments were administered for a full range of psychiatric diagnoses and age-related medical *** most frequently prescribed pharmacological agents were:antidepressants(78%)antipsychotics(64%),memory enhancers(38%).Participants(66%)received psychotherapy:individual(31%),couple(7%),family(13%).Variation in the MMSE scores were observed:55%remained stable,11%declined,18%*** Scores improved from baseline to 26 weeks(p=0.02,d=0.99:95%CI 0.39-1.56).PAS scores declined from baseline to 52 weeks(McNemar’s S=11.27,p=0.0008,d=1.17:95%CI 0.63-1.68).Function(BI)at week 26 was not statistically significantly different from baseline(t(26)=1.66,p=0.11,d=0.65:95%CI-0.16-1.42).Participants maintained independence(64.5%)at 52 weeks(McNemar’s S=6.23,p=0.013,d=0.79:95%CI 0.19-1.36)Conclusion:This study demonstrates the feasibility and benefit of providing a full complement of services via telepsychiatry to seniors and provides a rationale for more comprehensive reimbursement plans.

关键词： Psychotherapy Psychopharmacology Telepsychiatry Seniors Retirement communities Nursing Homes

A stochastic MPEC approach for grid tariff design with demand-side flexibility

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ENERGY SYSTEMS-OPTIMIZATION MODELING SIMULATION AND ECONOMIC ASPECTS 2023年第3期14卷 707-729页

作者： Askeland, Magnus Burandt, Thorsten Gabriel, Steven A. Energy Systems SINTEF Energy Research Trondheim Norway Department of Electric Power Engineering Norwegian University of Science and Technology Trondheim Norway Workgroup for Infrastructure Policy Technical University of Berlin Berlin Germany The Energy Transportation Environment Department German Institute for Economic Research (DIW Berlin) Berlin Germany Department of Industrial Economics and Technology Management Norwegian University of Science and Technology Trondheim Norway Department of Mechanical Engineering Applied Math and Statistics Scientific Computation Program University of Maryland College Park MD USA

As the end-users increasingly can provide flexibility to the power system, it is important to consider how this flexibility can be activated as a resource for the grid. Electricity network tariffs is one option that can be used to activate this flexibility. Therefore, by designing efficient grid tariffs, it might be possible to reduce the total costs in the power system by incentivizing a change in consumption patterns. This paper provides a methodology for optimal grid tariff design under decentralized decision-making and uncertainty in demand, power prices, and renewable generation. A bilevel model is formulated to adequately describe the interaction between the end-users and a distribution system operator. In addition, a centralized decision-making model is provided for benchmarking purposes. The bilevel model is reformulated as a mixed-integer linear problem solvable by branch-and-cut techniques. Results based on both deterministic and stochastic settings are presented and discussed. The findings suggest how electricity grid tariffs should be designed to provide an efficient price signal for reducing aggregate network peaks.

关键词： Bilevel problem Grid tariffs Mathematical program with equilibrium constraints (MPEC) Uncertainty

Langevin equations in the small-mass limit: Higher order approximations

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arXiv 2018年

作者： Birrell, Jeremiah Wehr, Jan Department of Mathematics and Statistics University of Massachusetts Amherst AmherstMA01003 United States Department of Mathematics Program in Applied Mathematics University of Arizona TucsonAZ85721 United States

We study the small-mass (overdamped) limit of Langevin equations for a particle in a potential and/or magnetic field with matrix-valued and state-dependent drift and diffusion. The present work generalizes prior derivations of the homogenized equation for the position degrees of freedom in the m → 0 limit. Specifically, we develop a hierarchy of approximate equations for the position degrees of freedom that achieves accuracy of order m/2 over compact time intervals for any ∈ Z+. The results cover bounded forces, for which we prove convergence in Lp norms, and unbounded forces, in which case we prove convergence in probability. Copyright © 2018, The Authors. All rights reserved.

关键词： Differential equations

Entropic van der Corput’s Difference Theorem

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arXiv 2024年

作者： Gu, Weichen Li, Xiang Department of Mathematics and Statistics University of New Hampshire DurhamNH03824 United States Integrated Applied Mathematics Program University of New Hampshire DurhamNH03824 United States

We prove an entropy version of van der Corput’s difference theorem: the entropy of a sequence is equal to the entropy of its differences. This reveals a potential correspondence between the theory of uniform distribution mod 1 and entropy. As applications, we establish the corresponding entropy versions for several other results on uniform distribution. Copyright © 2024, The Authors. All rights reserved.

关键词： Entropy

Using spatial characteristics to aid automation of SOM segmentation of functional image data

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Using spatial characteristics to aid automation of SOM segme...

International Workshop on Self-Organizing Maps and Learning Vector Quantization, Clustering and Data Visualization (WSOM)

作者： Patrick O'Driscoll Erzsébet Merényi Robert Grossman Applied Physics Program Rice University Houston Texas Departments of Statistics and Electrical and Computer Engineering Rice University Houston Texas Department of Neurosurgery Houston Methodist Neurological Institute Houston Texas

ISBN: (纸本)9781509066391

We propose a new similarity measure, Combined Connectivity and Spatial Adjacency (CCSA), to be used in hierarchical agglomerative clustering (HAC) for automated segmentation of Self-Organizing Maps (SOMs, Kohonen [1]). The CCSA measure is specifically designed to assist segmentation of large, complex, functional image data by exploiting general spatial characteristics of such data. The proposed CCSA measure is constructed from two strong indicators of cluster structure: the degree of localization of data points in physical space and the degree of connectivity of SOM prototypes (as defined by Taçdemir and Merényi [2]). The new measure is expected to enhance cluster capture in large functional image data cubes such as hyperspectral imagery or fMRI brain images, where many relevant clusters exist with widely varying statistical properties and in complex relationships both in feature space and in physical (image) space. We demonstrate the effectiveness of our approach using the CCSA measure on progressively complex synthetic spatial data and on real fMRI brain data.

关键词： Prototypes Resource description framework Extraterrestrial measurements Brain Spatial databases Image segmentation Hyperspectral imaging

New Diagnostics and Comparisons for Estimates of Climate System Properties from Climate Observations

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New Diagnostics and Comparisons for Estimates of Climate Sys...

10th International Meeting on Statistical Climatology (IMSC) (第十届国际统计气候学大会)

作者： Chris E.Forest Bruno Sansò Daniel Zantedeschi Andrei P.Sokolov Peter H.Stone Joint Program on the Science and Policy of Global Change Massachusetts Institute of TechnologyCambridgeMA 02139USA Department of Applied Mathematics and StatisticsUniversity of CaliforniaSanta CruzSanta CruzCA

Cupolets in a Chaotic Neuron Model

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arXiv 2022年

作者： Parker, John E. Short, Kevin M. Department of Mathematics University of Pittsburgh PittsburghPA15260 United States Integrated Applied Mathematics Program Department of Mathematics and Statistics University of New Hampshire DurhamNH03824 United States

This paper reports the first finding of cupolets in a chaotic Hindmarsh-Rose neural model. Cupolets (chaotic, unstable, periodic, orbit-lets) are unstable periodic orbits that have been stabilized through a particular control scheme applying a binary control sequence. We demonstrate different neural dynamics (periodic or chaotic) of the Hindmarsh-Rose model through a bifurcation diagram where the external input current, I, is the bifurcation parameter. We select a region in the chaotic parameter space and provide the results of numerical simulations. In this chosen parameter space, a control scheme is applied when the trajectory intersects with either of the two control planes. The size of the control is determined by a bit in a binary control sequence. The control is either a small microcontrol (0) or a large macrocontrol (1) that adjusts the future dynamics of the trajectory. We report the discovery of many cupolets with corresponding control sequences and comment on the differences with previously reported cupolets in the double scroll system. We provide some examples of the generated cupolets and conclude by discussing potential implications for biological neurons. © 2022, CC BY.

关键词： Bifurcation (mathematics)

Ecumenical modal logic

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arXiv 2020年

作者： Marin, Sonia Pereira, Luiz Carlos Pimentel, Elaine Sales, Emerson Department of Computer Science University College London United Kingdom Philosophy Department PUC-Rio Brazil Department of Mathematics UFRN Brazil Graduate Program of Applied Mathematics and Statistics UFRN Brazil

The discussion about how to put together Gentzen's systems for classical and intuitionistic logic in a single unified system is back in fashion. Indeed, recently Prawitz and others have been discussing the so called Ecumenical Systems, where connectives from these logics can co-exist in peace. In Prawitz' system, the classical logician and the intuitionistic logician would share the universal quantifier, conjunction, negation, and the constant for the absurd, but they would each have their own existential quantifier, disjunction, and implication, with different meanings. Prawitz' main idea is that these different meanings are given by a semantical framework that can be accepted by both parties. In a recent work, Ecumenical sequent calculi and a nested system were presented, and some very interesting proof theoretical properties of the systems were established. In this work we extend Prawitz' Ecumenical idea to alethic *** Codes 03B45, 03F03 Copyright © 2020, The Authors. All rights reserved.

关键词： Computer circuits

Constructions and existence of tight fusion frames

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Constructions and existence of tight fusion frames

Wavelets XIII

作者： Casazza, Peter G. Fickus, Matthew Mixon, Dustin G. Wang, Yang Zhou, Zhengfang Department of Mathematics and Statistics Air Force Institute of Technology Wright-Patterson Air Force Base OH 45433 United States Program in Applied and Computational Mathematics Princeton University Princeton NJ 08544 United States Department of Mathematics Michigan State University East Lansing MI 48824 United States Department of Mathematics University of Missouri Columbia MO 65211 United States

ISBN: (纸本)9780819477361

Fusion frames are an emerging topic of frame theory, with applications to communications and distributed processing. However, until recently, little was known about the existence of tight fusion frames, much less how to construct them. We discuss a new method for constructing tight fusion frames which is akin to playing Tetris with the spectrum of the frame operator. When combined with some easily obtained necessary conditions, these Spectral Tetris constructions provide a near complete characterization of the existence of tight fusion frames. © 2009 SPIE.

关键词： Optical engineering