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Page 5663 of Mathematical Reviews Vol. , Issue 99h [page]

1999 Mathematical Reviews  
L. (1-MIT; Cambridge, MA) The tau method as an analytic tool in the discussion of equivalence results across numerical methods. (English summary) Computing 60 (1998), no. 4, 365-376.  ...  On this basis the authors present the tau method as an analytical tool in the discussion of equivalence results across the finite difference methods, the collocation methods, the spectral schemes and the  ... 

Some remarks on structural relations between the tau method and the finite element method

E.L. Ortiz, A. Pham, Ngoc Dinh
1997 Computers and Mathematics with Applications  
We discuss structural relations between the Tau Method and the Finite Element Method (discrete step h).  ...  For a Dirichlet problem in dimensions one and two, we show that the difference between the solution given by each of these methods is bounded by C h in the norm of the Sobolev space H 1(~).  ...  In their work they have used the Tau Method, originally proposed by Lanczos [9] , as an analytic tool.  ... 
doi:10.1016/s0898-1221(97)00010-2 fatcat:l7ct2xa3izc7rbxdbiibazj4zq

The Alzheimer's Disease Neuroimaging Initiative 2 Biomarker Core: A review of progress and plans

Ju-Hee Kang, Magdalena Korecka, Michal J. Figurski, Jon B. Toledo, Kaj Blennow, Henrik Zetterberg, Teresa Waligorska, Magdalena Brylska, Leona Fields, Nirali Shah, Holly Soares, Robert A. Dean (+7 others)
2015 Alzheimer's & Dementia  
We expect that an outcome of all these efforts will be the availability of the most highly standardized methods for CSF Aβ 1-42 and tau proteins.  ...  We have continued the work of analytical method standardization in the Penn Biomarker Core of ADNI and also have collaborated with colleagues in the Global Biomarker Standardization Consortium (GBSC) in  ...  ADNI is funded by the National Institute on Aging, the National Institute of Biomedical Imaging and Bioengineering, and through generous contributions from the following: AbbVie, Alzheimer  ... 
doi:10.1016/j.jalz.2015.05.003 pmid:26194312 pmcid:PMC5127404 fatcat:77q3x2e5kfbyjfwy3osagd264q

A solution for factorial validity testing of three-item scales: An example of tau-equivalent strict measurement invariance of three-item loneliness scale

Stanisław K. Czerwiński, Paweł Andrzej Atroszko
2021 Current psychology (New Brunswick, N.J.)  
To the Authors' knowledge, it is the first practical application of a tau-equivalent model to testing the factorial validity of an ultra-short scale and probably the first empirical case of tau-equivalent  ...  A sample of 3510 students completed TILS together with the questionnaires measuring a variety of indicators of well-being. The results provided evidence for a good fit of a tau-equivalent model.  ...  A tau-equivalent model was tested instead, as it increases the number of degrees of freedom to two. Tau-equivalence means that all items in the model load unto one factor equally.  ... 
doi:10.1007/s12144-021-01554-5 pmid:33716473 pmcid:PMC7936930 fatcat:s2p4ddj34vhmzdjujb7agjboom

Python algorithms in particle tracking microrheology

Timo Maier, Tamás Haraszti
2012 Chemistry Central Journal  
The method requires intensive numerical data processing and tools allowing control of the calculation errors.  ...  The resulting program package analyzes the fundamental diffusion characteristics of particle trajectories and calculates the frequency dependent complex shear modulus using methods published in the literature  ...  Acknowledgements This work was supported by the Ministry of Science, Research, and the Arts of Baden-Württemberg (AZ:720.830-5-10a). The authors would like to thank to Professor Dr. Joachim P.  ... 
doi:10.1186/1752-153x-6-144 pmid:23186362 pmcid:PMC3545843 fatcat:mf7x4vjz7rgehg4hov46peppi4

Comprehensive Quantitative Profiling of Tau and Phosphorylated Tau Peptides in Cerebrospinal Fluid by Mass Spectrometry Provides New Biomarker Candidates

Claire L. Russell, Vikram Mitra, Karl Hansson, Kaj Blennow, Johan Gobom, Henrik Zetterberg, Mikko Hiltunen, Malcolm Ward, Ian Pike, Khalid Iqbal
2016 Journal of Alzheimer's Disease  
components of AD brain tissue in CSF, and enable the quantitation of these analytes.  ...  Of these, 11 phosphopeptides were up-regulated by at least 40%, along with an overall increase in tau levels in the CSF of AD patients relative to controls.  ...  We hypothesize that this could be the result of extensive aggregation of the tau proteins in AD resulting in reduced levels in the CSF.  ... 
doi:10.3233/jad-160633 pmid:27636850 fatcat:blef2kytc5eadgpdh6am6gwj4u

Segmented Tau approximation for a forward–backward functional differential equation

Carmen Da Silva, René Escalante
2011 Computers and Mathematics with Applications  
A boundary value problem is posed, solved with the proposed method, and analyzed. The numerical results obtained are consistent with those produced by other methods found in the literature.  ...  The step by step version of the Tau method is applied to approximate the solution of Eq. (1) by a piecewise polynomial function.  ...  The second author was partially supported by the Decanato de Investigación y Desarrollo (DID) at USB.  ... 
doi:10.1016/j.camwa.2011.10.040 fatcat:5tjb6i5sgrclhkjw2bebkonndi

Reliability: Arguments for Multiple Perspectives and Potential Problems with Generalization across Studies

Dimiter M. Dimitrov
2002 Educational and Psychological Measurement  
The discussion is organized in three parts.  ...  Potential problems with RG across studies are discussed in relation to different types of reliability, different test forms, different number of items, misspecifications, and confounding independent variables  ...  The conclusion summarizes major points of the discussion in the first two parts in an attempt to provide some insight for the practice of substantive research and RG across studies.  ... 
doi:10.1177/001316402236878 fatcat:adqap2fgkvhkpkeskkxt2op6tq

Segmented Tau Approximation for a Non-Autonomous Functional Differential Equation of Mixed Type [article]

Carmen Da Silva, René Escalante
2016 arXiv   pre-print
We conclude that the good numerical results obtained in our numerical experimentation and the relative simplicity of the Tau method demonstrate that it is a promising strategy for numerically solving mixed-type  ...  The segmented formulation of the Tau method is used to numerically solve the non-autonomous forward-backward functional differential equation x'(t) = a(t)x(t) + b(t)x(t-1) + c(t)x(t+1), where x is the  ...  The second author was partially supported by the Decanato de Investigación y Desarrollo (DID) at USB.  ... 
arXiv:1608.00330v2 fatcat:mnffqmrr5fa6xpi4wovdfo7spi

Cerebrospinal Fluid Biomarkers for Alzheimer's Disease: A View of the Regulatory Science Qualification Landscape from the Coalition Against Major Diseases CSF Biomarker Team

Stephen P. Arnerić, Richard Batrla-Utermann, Laurel Beckett, Tobias Bittner, Kaj Blennow, Leslie Carter, Robert Dean, Sebastiaan Engelborghs, Just Genius, Mark Forrest Gordon, Janice Hitchcock, June Kaplow (+12 others)
2016 Journal of Alzheimer's Disease  
There is an urgent need for the discovery, development, and implementation of novel, objectively measured biomarkers for AD that would aid selection of the appropriate subpopulation of patients in clinical  ...  available to the field of AD, and highlights the current challenges facing the landscape of CSF biomarkers qualified as hallmarks of AD.  ...  CAMD acknowledges the support and contributions of the following FDA colleagues: Dr. Shashi Amur, Dr. ShaAvhrée Buckman-Garner, and Dr. Nick Kozauer. We thank Dr.  ... 
doi:10.3233/jad-160573 pmid:27662307 pmcid:PMC5115607 fatcat:wv5gwtskivbwpmpljodfavqbma

Integrating molecular, histopathological, neuroimaging and clinical neuroscience data with NeuroPM-box

Yasser Iturria-Medina, Félix Carbonell, Atousa Assadi, Quadri Adewale, Ahmed F Khan, Tobias R Baumeister, Lazaro Sanchez-Rodriguez
2021 Communications Biology  
in Neurology.  ...  Using advanced analytical modeling for molecular, histopathological, brain-imaging and/or clinical evaluations, this framework has multiple applications, validated here with synthetic (N > 2900), in-vivo  ...  This project was also undertaken thanks in part to the following funding awards to Y.  ... 
doi:10.1038/s42003-021-02133-x pmid:34021244 fatcat:wlncznrxbzatxmsapuy22446fa

Developing novel blood-based biomarkers for Alzheimer's disease

Heather M. Snyder, Maria C. Carrillo, Francine Grodstein, Kim Henriksen, Andreas Jeromin, Simon Lovestone, Michelle M. Mielke, Sid O'Bryant, Manual Sarasa, Magnus Sjøgren, Holly Soares, Jessica Teeling (+7 others)
2014 Alzheimer's & Dementia  
Analytic aspects that contribute to variability include different assessment platforms, methods of analysis, and analytic performance characteristics such as precision, analytical accuracy, and dilution  ...  This manuscript summarizes the meeting and the resultant discussion, including identified steps to move the field forward.  ... 
doi:10.1016/j.jalz.2013.10.007 pmid:24365657 pmcid:PMC4769619 fatcat:exmhmlbpy5hyhlxgq75amydgce

Measuring Personal Values: An Evaluation of Alternative Methods

Thomas J. Reynolds, James P. Jolly
1980 Journal of Marketing Research  
Measuring Personal Values: An Evaluation o f Alternative Methods Munson and McIntyre (1979), in noting the need to study cultural differences as a basis for developing international marketing strategy,  ...  Implications for method choice and future research are discussed.  ...  As Munson and McIntyre may have been misled in their findings of equivalence between the ranking and rating methods because of the inappropriateness of Spearman's rho as a measure of reliability and the  ... 
doi:10.2307/3150506 fatcat:l6344fw7hngrpgj3sjzbc27iza

NeuroPM toolbox: integrating Molecular, Neuroimaging and Clinical data for Characterizing Neuropathological Progression and Individual Therapeutic Needs [article]

Yasser Iturria-Medina, Felix Carbonell, Atoussa Assadi, Quadri Adewale, Ahmed F. Khan, Robert Baumeister, Lazaro M Sanchez-Rodriguez
2020 medRxiv   pre-print
The implemented methods have been extensively tested and validated in the neurodegenerative context, but there is not restriction in the kind of disorders that can be analyzed.  ...  This open-access tool for academic researchers may significantly contribute to a better understanding of complex brain processes and to accelerating the implementation of Precision Medicine (PM) in neurology  ...  In addition, dataset-2 collection and sharing for this project was funded by ADNI (National Institutes of Health Grant U01 AG024904) and DOD ADNI (Department of Defense award number W81XWH-12-2-0012).  ... 
doi:10.1101/2020.09.24.20200964 fatcat:p77phej36nfkxhkwso7ddqvzp4

A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds

Varun Shankar, Grady B. Wright, Akil Narayan
2020 SIAM Journal on Scientific Computing  
We conclude with a summary of our results and a discussion of future work in section 6. 2. RBF-LOI on surfaces.  ...  When combined with the recently developed RBF-LOI method, the resulting numerical method is free of stagnation errors and is empirically both locally and globally stable for the examples we have investigated  ...  Radial basis functions (RBFs) are a powerful and flexible tool for generating numerical methods for the solution of partial differential equations (PDEs).  ... 
doi:10.1137/19m1288747 fatcat:4wa3foqvhrgp7ao2hxoj3ewtem
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