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1

Ozansoy, M., and A. Başak. "Tauopathies: A Distinct Class of Neurodegenerative Diseases." Balkan Journal of Medical Genetics 10, no. 2 (2007): 3–14. http://dx.doi.org/10.2478/v10034-008-0001-5.

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Tauopathies: A Distinct Class of Neurodegenerative DiseasesNeurodegenerative diseases are characterized by neuronal loss and intraneuronal accumulation of fibrillary materials, of which, neurofibrillary tangles (NFT) are the most common. Neurofibrillary tangles also occur in normal aging and contain the hyperphosphorylated microtubule-associated protein tau. A detailed presentation is made of the molecular bases of Alzheimer's disease (AD), postencephalitic parkinsonism, amyotrophic lateral sclerosis/parkinsonism-dementia complex (ALS/PDC) of Guam, progressive supranuclear palsy (PSP), cortico
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2

Fajfer, S., and R. J. Oakes. "Second class current effects in Tau-Lepton decay." Physics Letters B 213, no. 3 (1988): 376–78. http://dx.doi.org/10.1016/0370-2693(88)91779-0.

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3

Demock, Melissa, and Steven Kornguth. "A Mechanism for the Development of Chronic Traumatic Encephalopathy From Persistent Traumatic Brain Injury." Journal of Experimental Neuroscience 13 (January 2019): 117906951984993. http://dx.doi.org/10.1177/1179069519849935.

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A mechanism that describes the progression of traumatic brain injury (TBI) to end-stage chronic traumatic encephalopathy (CTE) is offered in this article. This mechanism is based upon the observed increase in the concentration of both tau protein and of human leukocyte antigen (HLA) class I proteins; the HLA increase is expressed on the cell membrane of neural cells. These events follow the inflammatory responses caused by the repetitive TBI. Associated inflammatory changes include macrophage entry into the brain parenchyma from increased permeability of the blood-brain barrier (BBB) and micro
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4

Bariş, Kendirli. "Fourier Coefficients of a Class of Eta Quotients of Weight 12 with Level 12." Journal of Progressive Research in Mathematics 4, no. 1 (2015): 257–93. https://doi.org/10.5281/zenodo.3980637.

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Recently, Williams and then Yao, Xia and Jin discovered explicit formulas for the coefficients of the Fourier series expansions of a class of eta quotients. Williams expressed all coefficients of 126 eta quotients in terms of <em>&sigma;</em>(n),<em>&sigma;</em>(n/2),<em>&sigma;</em>(n/3) and <em>&sigma;</em>(n/6) and Yao, Xia and Jin, following the method of proof of Williams, expressed only even coefficients of 104 eta quotients in terms of <em>&sigma;</em><sub>3</sub>(n),<em>&sigma;</em><sub>3</sub>(n/2),<em>&sigma;</em><sub>3</sub>(n/3) and <em>&sigma;</em><sub>3</sub>(n/6). Here, we will
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5

Novak, Michal. "First-in-man and First-in-class Tau Vaccine." Neurobiology of Aging 35 (March 2014): S18. http://dx.doi.org/10.1016/j.neurobiolaging.2014.01.100.

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6

Paronetto, F. "Homogenization of a class of degenerate parabolic equations." Asymptotic Analysis 21, no. 3-4 (1999): 275–302. https://doi.org/10.3233/asy-1999-369.

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In this paper we study the homogenization problem of a sequence of degenerate linear parabolic operators [Formula: see text] ( $\gamma, \beta \geq 0$ ), where the matrix of the coefficients $a(y,\tau)$ verifies the degenerate elliptic condition $\lambda(y)\vert \xi\vert ^2\leq (a(y,\tau)\cdot \xi,\xi)\leq L\lambda(y) \vert \xi\vert ^2$ , $\lambda$ being a weight satisfying a Muckenhoupt’s condition ( $\lambda\in A_2$ ) and $(\mu,\lambda)$ being a pair of weights satisfying a generalized Muckenhoupt’s condition.
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7

P., Padma. "( τi , τj ) * - Q* g closed sets in Bitopological spaces". Journal of Progressive Research in Mathematics 2, № 1 (2015): 69–79. https://doi.org/10.5281/zenodo.3980807.

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The aim of this paper is to introduced the new type of closed sets called ( &tau;<sub>i</sub> , &tau;<sub>j</sub> )* - Q* g closed set . We introduce and study a new class of spaces namely (&tau;<sub>i</sub> , &tau;<sub>j</sub> )* - Q*g T1/2 space and ( &tau;<sub>i</sub> , &tau;<sub>j</sub> )* - Q* g T3/4 space . Also we find some basic properties and applications of ( &tau;<sub>i</sub> , &tau;<sub>j</sub> )* - Q* g closed sets .
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8

Ruben, G. C., K. Iqbal, I. Grundke-Iqbal, H. Wisniewski, T. L. Ciardelli, and J. H. Johnson. "The microtubule associated protein (MAP) tau forms a new class of triple-stranded left-hand helical fibrous protein polymer." Proceedings, annual meeting, Electron Microscopy Society of America 50, no. 1 (1992): 540–41. http://dx.doi.org/10.1017/s0424820100123106.

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In neurons, the microtubule associated protein, tau, is found in the axons. Tau stabilizes the microtubules required for neurotransmitter transport to the axonal terminal. Since tau has been found in both Alzheimer neurofibrillary tangles (NFT) and in paired helical filaments (PHF), the study of tau's normal structure had to preceed TEM studies of NFT and PHF. The structure of tau was first studied by ultracentrifugation. This work suggested that it was a rod shaped molecule with an axial ratio of 20:1. More recently, paraciystals of phosphorylated and nonphosphoiylated tau have been reported.
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9

EL-MONSEF, M. E. ABD, A. M. KOZAE, and A. A. ABO KHADRA. "CO-RS-COMPACT TOPOLOGIES." Tamkang Journal of Mathematics 24, no. 3 (1993): 323–32. http://dx.doi.org/10.5556/j.tkjm.24.1993.4504.

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&#x0D; &#x0D; &#x0D; A topology $R(\tau)$ is contructed from a given topolgy $\tau$ on a set $X$ . $R(\tau)$ is coarser than $\tau$, and the following are some results based on this topology: &#x0D; 1. Continuity and RS-continuity are equivalent if the codomain is re­ topologized by $R(\tau)$. &#x0D; 2. The class of semi-open sets with respect to $R(\tau)$ is a topology. &#x0D; 3. $T_2$ and semi-$T_2$ properties are equivalent on a space whose topology is $R(\tau)$. &#x0D; 4. Minimal $R_0$-spaces are RS-compact: &#x0D; &#x0D; &#x0D;
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10

Kahlson, Martha A., and Kenneth J. Colodner. "Glial Tau Pathology in Tauopathies: Functional Consequences." Journal of Experimental Neuroscience 9s2 (January 2015): JEN.S25515. http://dx.doi.org/10.4137/jen.s25515.

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Tauopathies are a class of neurodegenerative diseases characterized by the presence of hyperphosphorylated and aggregated tau pathology in neuronal and glial cells. Though the ratio of neuronal and glial tau aggregates varies across diseases, glial tau aggregates can populate the same degenerating brain regions as neuronal tau aggregates. While much is known about the deleterious consequences of tau pathology in neurons, the relative contribution of glial tau pathology to these diseases is less clear. Recent studies using a number of model systems implicate glial tau pathology in contributing
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11

Kilili, Kimiti G., Neli Atanassova, Alla Vardanyan, et al. "Differential Roles of Tau Class GlutathioneS-Transferases in Oxidative Stress." Journal of Biological Chemistry 279, no. 23 (2004): 24540–51. http://dx.doi.org/10.1074/jbc.m309882200.

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12

Benfatah, Youssef, Amine El Bhih, Mostafa Rachik, and Marouane Lafif. "An Output Sensitivity Problem for a Class of Fractional Order Discrete-Time Linear Systems." Acta Mechanica et Automatica 15, no. 4 (2021): 227–35. http://dx.doi.org/10.2478/ama-2021-0029.

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Abstract Consider the linear discrete-time fractional order systems with uncertainty on the initial state { Δ α x i + 1 = A x i + B u i , i ≥ 0 x 0 = τ 0 + τ ⌢ 0 ∈ ℝ n , τ ⌢ 0 ∈ Ω , y i = C x i , i ≥ 0 \left\{ {\matrix{{{\Delta ^\alpha }{x_{i + 1}} = A{x_i} + B{u_i},} \hfill &amp; {i \ge 0} \hfill \cr {{x_0} = {\tau _0} + {{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown$}}\over \tau } }_0} \in {\mathbb{R}^n},} \hfill &amp; {{{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown$}}\over \tau } }_0} \in \Omega ,} \hfill \cr {{y_i} = C{x_{i,}}\,\,\,i \ge 0} \hfill &amp; {} \hf
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13

Hart, Sarah B., and Peter J. Rowley. "Maximal length elements of excess zero in finite Coxeter groups." Journal of Group Theory 21, no. 5 (2018): 817–37. http://dx.doi.org/10.1515/jgth-2018-0016.

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Abstract In this paper we prove that for W a finite Coxeter group and C a conjugacy class of W, there is always an element of C of maximal length in C which has excess zero. An element {w\in W} has excess zero if there exist elements {\sigma,\tau\in W} such that {\sigma^{2}=\tau^{2}=1,w=\sigma\tau} and {\ell(w)=\ell(\sigma)+\ell(\tau)} , {\ell} being the length function on W.
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14

Ali, Ekram E. "Subclass of analytic functions on q-analogue connected with a new linear extended multiplier operator." Studia Universitatis Babes-Bolyai Matematica 69, no. 4 (2024): 801–11. https://doi.org/10.24193/subbmath.2024.4.07.

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Using a new linear extended multiplier $q$-Choi-Saigo-Srivastava operator $D_{\alpha ,\beta }^{m,q}(\mu ,\tau )$ we define a subclass $\Theta _{\alpha,\beta }^{m,q}(\mu ,\tau ,N,M)$ subordination and the newly defined $q$-analogue of the Choi-Saigo-Srivastava operator to the class of analytic functions. For this class, conclusions are drawn that include coefficient estimates, integral representation, linear combination, weighted and arithmetic means, and radius of starlikeness.
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15

Kanai, Y., R. Takemura, T. Oshima, et al. "Expression of multiple tau isoforms and microtubule bundle formation in fibroblasts transfected with a single tau cDNA." Journal of Cell Biology 109, no. 3 (1989): 1173–84. http://dx.doi.org/10.1083/jcb.109.3.1173.

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Tau proteins are a class of low molecular mass microtubule-associated proteins that are specifically expressed in the nervous system. A cDNA clone of adult rat tau was isolated and sequenced. To analyze functions of tau proteins in vivo, we carried out transfection experiments. A fibroblast cell line, which was transfected with the cDNA, expressed three bands of tau, while six bands were expressed in rat brain. After dephosphorylation, one of the three bands disappeared, demonstrating directly that phosphorylation was involved in the multiplicity of tau. Morphologically, we observed a thick bu
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16

Robert, Aiko, Michael Schöll, and Thomas Vogels. "Tau Seeding Mouse Models with Patient Brain-Derived Aggregates." International Journal of Molecular Sciences 22, no. 11 (2021): 6132. http://dx.doi.org/10.3390/ijms22116132.

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Tauopathies are a heterogeneous class of neurodegenerative diseases characterized by intracellular inclusions of aggregated tau proteins. Tau aggregates in different tauopathies have distinct structural features and can be found in different cell types. Transgenic animal models overexpressing human tau have been used for over two decades in the research of tau pathology. However, these models poorly recapitulate the heterogeneity of tauopathies found in human brains. Recent findings demonstrate that injection of purified tau aggregates from the brains of human tauopathy patients recapitulates
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17

Zhu, Yanan, Lauren Gandy, Fuming Zhang, et al. "Heparan Sulfate Proteoglycans in Tauopathy." Biomolecules 12, no. 12 (2022): 1792. http://dx.doi.org/10.3390/biom12121792.

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Tauopathies are a class of neurodegenerative diseases, including Alzheimer’s disease, and are characterized by intraneuronal tau inclusion in the brain and the patient’s cognitive decline with obscure pathogenesis. Heparan sulfate proteoglycans, a major type of extracellular matrix, have been believed to involve in tauopathies. The heparan sulfate proteoglycans co-deposit with tau in Alzheimer’s patient brain, directly bind to tau and modulate tau secretion, internalization, and aggregation. This review summarizes the current understanding of the functions and the modulated molecular pathways
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18

ARGYROS, SPIROS A., JESÚS F. CASTILLO, ANTONIO S. GRANERO, MAR JIMÉNEZ, and JOSÉ P. MORENO. "COMPLEMENTATION AND EMBEDDINGS OF c0(I) IN BANACH SPACES." Proceedings of the London Mathematical Society 85, no. 3 (2002): 742–68. http://dx.doi.org/10.1112/s0024611502013618.

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We investigate in this paper the complementation of copies of $c_0(I)$ in some classes of Banach spaces (in the class of weakly compactly generated (WCG) Banach spaces, in the larger class $\mathcal{V}$ of Banach spaces which are subspaces of some $C(K)$ space with $K$ a Valdivia compact, and in the Banach spaces $C([1, \alpha ])$, where $\alpha$ is an ordinal) and the embedding of $c_0(I)$ in the elements of the class $\mathcal{C}$ of complemented subspaces of $C(K)$ spaces. Two of our results are as follows:(i) in a Banach space $X \in \mathcal{V}$ every copy of $c_0(I)$ with $\# I &lt; \ale
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19

Liu, Yuji. "Asymptotic behavior for a class of delay differential equations with a forcing term." Tamkang Journal of Mathematics 34, no. 4 (2003): 309–16. http://dx.doi.org/10.5556/j.tkjm.34.2003.233.

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We study the asymptotic behavior of solutions of the following forced delay differential equation $$ x'(t)=-p(t)f(x(t-\tau))+r(t),\quad t\ge 0. \eqno{(*)}$$ It is show that if $ f$ is increasing and $ |f(x)|\le |x|$ for all $ x\in R$, $ \lim_{t\to +\infty} {r(t)\over p(t)}=0$, $ \int_0^{+\infty} p(s)ds=+\infty$ and $ \limsup_{t\to+\infty} \int_{t-\tau}^t p(s)ds
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20

Shulman, Joshua M., and Mel B. Feany. "Genetic Modifiers of Tauopathy in Drosophila." Genetics 165, no. 3 (2003): 1233–42. http://dx.doi.org/10.1093/genetics/165.3.1233.

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Abstract In Alzheimer's disease and related disorders, the microtubule-associated protein Tau is abnormally hyperphosphorylated and aggregated into neurofibrillary tangles. Mutations in the tau gene cause familial frontotemporal dementia. To investigate the molecular mechanisms responsible for Tau-induced neurodegeneration, we conducted a genetic modifier screen in a Drosophila model of tauopathy. Kinases and phosphatases comprised the major class of modifiers recovered, and several candidate Tau kinases were similarly shown to enhance Tau toxicity in vivo. Despite some clinical and pathologic
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21

Batko, Joanna, Katarzyna Antosz, Weronika Miśków, Magdalena Pszczołowska, Kamil Walczak, and Jerzy Leszek. "Chaperones—A New Class of Potential Therapeutic Targets in Alzheimer’s Disease." International Journal of Molecular Sciences 25, no. 6 (2024): 3401. http://dx.doi.org/10.3390/ijms25063401.

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The review describes correlations between impaired functioning of chaperones and co-chaperones in Alzheimer’s disease (AD) pathogenesis. The study aims to highlight significant lines of research in this field. Chaperones like Hsp90 or Hsp70 are critical agents in regulating cell homeostasis. Due to some conditions, like aging, their activity is damaged, resulting in β-amyloid and tau aggregation. This leads to the development of neurocognitive impairment. Dysregulation of co-chaperones is one of the causes of this condition. Disorders in the functioning of molecules like PP5, Cdc37, CacyBP/SIP
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22

Shea, Thomas B., Eva P. Klinger, and Corinne M. Cressman. "Calcium influx recruits an additional class of kinases to hyperphosphorylate tau." NeuroReport 6, no. 10 (1995): 1437–40. http://dx.doi.org/10.1097/00001756-199507100-00019.

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23

El-Daou, Mohamed K., and Nadia R. Al-Matar. "An improved Tau method for a class of Sturm–Liouville problems." Applied Mathematics and Computation 216, no. 7 (2010): 1923–37. http://dx.doi.org/10.1016/j.amc.2010.03.022.

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24

JAVANSHIRI, HOSSEIN, and RASOUL NASR-ISFAHANI. "THE STRONG DUAL OF MEASURE ALGEBRAS WITH CERTAIN LOCALLY CONVEX TOPOLOGIES." Bulletin of the Australian Mathematical Society 87, no. 3 (2013): 353–65. http://dx.doi.org/10.1017/s0004972713000142.

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AbstractFor a locally compact group $ \mathcal{G} $, we introduce and study a class of locally convex topologies $\tau $ on the measure algebra $M( \mathcal{G} )$ of $ \mathcal{G} $. In particular, we show that the strong dual of $(M( \mathcal{G} ), \tau )$ can be identified with a closed subspace of the Banach space $M\mathop{( \mathcal{G} )}\nolimits ^{\ast } $; we also investigate some properties of the locally convex space $(M( \mathcal{G} ), \tau )$.
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25

Huang, Jane, Christian Ginski, Myriam Benisty, et al. "Disk Evolution Study through Imaging of Nearby Young Stars (DESTINYS): A Panchromatic View of DO Tau’s Complex Kilo-astronomical-unit Environment." Astrophysical Journal 930, no. 2 (2022): 171. http://dx.doi.org/10.3847/1538-4357/ac63ba.

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Abstract While protoplanetary disks are often treated as isolated systems in planet formation models, observations increasingly suggest that vigorous interactions between Class II disks and their environments are not rare. DO Tau is a T Tauri star that has previously been hypothesized to have undergone a close encounter with the HV Tau system. As part of the DESTINYS ESO Large Programme, we present new Very Large Telescope (VLT)/SPHERE polarimetric observations of DO Tau and combine them with archival Hubble Space Telescope (HST) scattered-light images and Atacama Large Millimeter/submillimete
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26

Chen, Xiaojing, and Wenchang Chu. "On a generalized class of bi-univalent functions defined by subordination and \(q\)-derivative operator." Open Journal of Mathematical Analysis 6, no. 1 (2022): 7–14. http://dx.doi.org/10.30538/psrp-oma2022.0100.

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In this paper, the \(q\)-derivative operator and the principle of subordination were employed to define a subclass \(\mathcal{B}_q(\tau,\lambda,\phi)\) of analytic and bi-univalent functions in the open unit disk \(\mathcal{U}\). For functions \(f(z)\in\mathcal{B}_q(\tau,\lambda,\phi)\), we obtained early coefficient bounds and some Fekete-Szegö estimates for real and complex parameters.
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27

Lasode, Ayotunde O., and Timothy O. Opoola. "On a generalized class of bi-univalent functions defined by subordination and \(q\)-derivative operator." Open Journal of Mathematical Analysis 5, no. 2 (2021): 46–52. http://dx.doi.org/10.30538/psrp-oma2021.0092.

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In this paper, the \(q\)-derivative operator and the principle of subordination were employed to define a subclass \(\mathcal{B}_q(\tau,\lambda,\phi)\) of analytic and bi-univalent functions in the open unit disk \(\mathcal{U}\). For functions \(f(z)\in\mathcal{B}_q(\tau,\lambda,\phi)\), we obtained early coefficient bounds and some Fekete-Szegö estimates for real and complex parameters.
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28

Basantani, Mahesh, and Alka Srivastava. "Plant glutathione transferases — a decade falls short." Canadian Journal of Botany 85, no. 5 (2007): 443–56. http://dx.doi.org/10.1139/b07-033.

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The glutathione transferase (GST) superfamily in plants has been subdivided into eight classes, seven of which (phi, tau, zeta, theta, lambda, dehydroascorbate reductase, and tetrachlorohydroquinone dehalogenase) are soluble and one is microsomal. Since their identification in plants in 1970, these enzymes have been well established as phase II detoxification enzymes that perform several other essential functions in plant growth and development. These enzymes catalyze nucleophilic conjugation of the reduced form of the tripeptide glutathione to a wide variety of hydrophobic, electrophilic, and
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29

Tan, Choon Peng. "Lower bounds for tau coefficients and operator norms using composite matrix norms." Bulletin of the Australian Mathematical Society 35, no. 1 (1987): 49–57. http://dx.doi.org/10.1017/s0004972700013034.

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Lower bounds for the tau coefficients and operator norms are derived by using composite matrix norms. For a special class of matrices B, our bounds on ‖B‖p (the operator norm of B induced by the ℓp norm) improve upon a general class of Maitre (1967) bounds for p ≥ 2.
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30

Levi, Inessa, and Steve Seif. "COMBINATORIAL TECHNIQUES FOR DETERMINING RANK AND IDEMPOTENT RANK OF CERTAIN FINITE SEMIGROUPS." Proceedings of the Edinburgh Mathematical Society 45, no. 3 (2002): 617–30. http://dx.doi.org/10.1017/s0013091501000530.

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AbstractLet $\tau$ be a partition of the positive integer $n$. A partition of the set $\{1,2,\dots,n\}$ is said to be of type $\tau$ if the sizes of its classes form the partition $\tau$ of $n$. It is known that the semigroup $S(\tau)$, generated by all the transformations with kernels of type $\tau$, is idempotent generated. When $\tau$ has a unique non-singleton class of size $d$, the difficult Middle Levels Conjecture of combinatorics obstructs the application of known techniques for determining the rank and idempotent rank of $S(\tau)$. We further develop existing techniques, associating w
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31

Meeter, Lieke H. H., Everard G. Vijverberg, Marta Del Campo, et al. "Clinical value of neurofilament and phospho-tau/tau ratio in the frontotemporal dementia spectrum." Neurology 90, no. 14 (2018): e1231-e1239. http://dx.doi.org/10.1212/wnl.0000000000005261.

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ObjectiveTo examine the clinical value of neurofilament light chain (NfL) and the phospho-tau/total tau ratio (p/t-tau) across the entire frontotemporal dementia (FTD) spectrum in a large, well-defined cohort.MethodsCSF NfL and p/t-tau levels were studied in 361 patients with FTD: 179 behavioral variant FTD, 17 FTD with motor neuron disease (FTD-MND), 36 semantic variant primary progressive aphasia (PPA), 19 nonfluent variant PPA, 4 logopenic variant PPA (lvPPA), 42 corticobasal syndrome, and 64 progressive supranuclear palsy. Forty-five cognitively healthy controls were also included. Definit
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32

Engstrom, Amanda K., Alicia C. Walker, Rohitha A. Moudgal, et al. "The inhibition of LSD1 via sequestration contributes to tau-mediated neurodegeneration." Proceedings of the National Academy of Sciences 117, no. 46 (2020): 29133–43. http://dx.doi.org/10.1073/pnas.2013552117.

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Tauopathies are a class of neurodegenerative diseases associated with pathological tau. Despite many advances in our understanding of these diseases, the direct mechanism through which tau contributes to neurodegeneration remains poorly understood. Previously, our laboratory implicated the histone demethylase LSD1 in tau-induced neurodegeneration by showing that LSD1 localizes to pathological tau aggregates in Alzheimer's disease cases, and that it is continuously required for the survival of hippocampal and cortical neurons in mice. Here, we utilize the P301S tauopathy mouse model to demonstr
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33

Nachman, Eliana, Anne S. Wentink, Karine Madiona, et al. "Disassembly of Tau fibrils by the human Hsp70 disaggregation machinery generates small seeding-competent species." Journal of Biological Chemistry 295, no. 28 (2020): 9676–90. http://dx.doi.org/10.1074/jbc.ra120.013478.

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The accumulation of amyloid Tau aggregates is implicated in Alzheimer's disease (AD) and other tauopathies. Molecular chaperones are known to maintain protein homeostasis. Here, we show that an ATP-dependent human chaperone system disassembles Tau fibrils in vitro. We found that this function is mediated by the core chaperone HSC70, assisted by specific cochaperones, in particular class B J-domain proteins and a heat shock protein 110 (Hsp110)-type nucleotide exchange factor (NEF). The Hsp70 disaggregation machinery processed recombinant fibrils assembled from all six Tau isoforms as well as S
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34

Gandini, Annachiara, Manuela Bartolini, Daniele Tedesco та ін. "Tau-centric multi-target approach for Alzheimer's disease: Development of first-in-class glycogen synthase kinase 3β and tau-aggregation inhibitors". Journal of Medicinal Chemistry 61 (4 серпня 2018): 7640–56. https://doi.org/10.1021/acs.jmedchem.8b00610.

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This document is the Accepted Manuscript version of a Published Work that appeared in final form in Journal of Medicinal Chemistry, 61, 7640&ndash;7656 (DOI: 10.1021/acs.jmedchem.8b00610), &copy; 2018 American Chemical Society, after peer review and technical editing by the publisher. To access the final edited and published work, see https://pubs.acs.org/articlesonrequest/AOR-yrCZV6e6VNr5AFhKcH79 This Manuscript version is made available under the CC-BY-NC-ND 4.0 license. https://creativecommons.org/licenses/by-nc-nd/4.0/ &nbsp; ABSTRACT Several findings propose altered tau protein network as
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35

Mattsson, Niklas, Ruben Smith, Olof Strandberg, et al. "Comparing 18F-AV-1451 with CSF t-tau and p-tau for diagnosis of Alzheimer disease." Neurology 90, no. 5 (2018): e388-e395. http://dx.doi.org/10.1212/wnl.0000000000004887.

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ObjectiveTo compare PET imaging of tau pathology with CSF measurements (total tau [t-tau] and phosphorylated tau [p-tau]) in terms of diagnostic performance for Alzheimer disease (AD).MethodsWe compared t-tau and p-tau and 18F-AV-1451 in 30 controls, 14 patients with prodromal AD, and 39 patients with Alzheimer dementia, recruited from the Swedish BioFINDER study. All patients with AD (prodromal and dementia) were screened for amyloid positivity using CSF β-amyloid 42. Retention of 18F-AV-1451 was measured in a priori specified regions, selected for known associations with tau pathology in AD.
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36

Fischer, Itzhak. "Big Tau: What We Know, and We Need to Know." eneuro 10, no. 5 (2023): ENEURO.0052–23.2023. http://dx.doi.org/10.1523/eneuro.0052-23.2023.

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Tau is a microtubule-associated protein (MAP) that has multiple isoforms generated by alternative splicing of the MAPT gene at a range of 45–60 kDa [low-molecular-weight (LMW) tau] as well as a unique isoform termed Big tau containing an additional exon 4a encoding a large projecting domain of ∼250 aa to form a protein of 110 kDa. Big tau is expressed in adult PNS neurons such as DRG neurons and specific regions of CNS such as the cerebellum in a developmental transition from LMW tau to Big tau during the postnatal period. Despite a conserved size of the 4a exons across the vertebrate phylogen
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37

Lee, Yoonjin, та Yoon Kyung Park. "Ramanujan’s function k(τ)=r(τ)r 2(2τ) and its modularity". Open Mathematics 18, № 1 (2020): 1727–41. http://dx.doi.org/10.1515/math-2020-0105.

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Abstract We study the modularity of Ramanujan’s function k ( τ ) = r ( τ ) r 2 ( 2 τ ) k(\tau )=r(\tau ){r}^{2}(2\tau ) , where r ( τ ) r(\tau ) is the Rogers-Ramanujan continued fraction. We first find the modular equation of k ( τ ) k(\tau ) of “an” level, and we obtain some symmetry relations and some congruence relations which are satisfied by the modular equations; these relations are quite useful for reduction of the computation cost for finding the modular equations. We also show that for some τ \tau in an imaginary quadratic field, the value k ( τ ) k(\tau ) generates the ray class fie
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38

Sheehan, Patrick D., and Josh A. Eisner. "CONSTRAINING THE DISK MASSES OF THE CLASS I BINARY PROTOSTAR GV Tau." Astrophysical Journal 791, no. 1 (2014): 19. http://dx.doi.org/10.1088/0004-637x/791/1/19.

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39

Novak, Michal. "F2-04-04: FIRST-IN-MAN AND FIRST-IN-CLASS TAU VACCINE." Alzheimer's & Dementia 10 (July 2014): P162. http://dx.doi.org/10.1016/j.jalz.2014.04.149.

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40

Vanani, S. Karimi, and A. Aminataei. "Operational Tau approximation for a general class of fractional integro-differential equations." Computational & Applied Mathematics 30, no. 3 (2011): 655–74. http://dx.doi.org/10.1590/s1807-03022011000300010.

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41

Himmler, A. "Structure of the bovine tau gene: alternatively spliced transcripts generate a protein family." Molecular and Cellular Biology 9, no. 4 (1989): 1389–96. http://dx.doi.org/10.1128/mcb.9.4.1389-1396.1989.

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Tau, a major class of microtubule-associated proteins, consists of a family of proteins that are heterogeneous in molecular weight. The presence of internal deletions in previously described cDNA clones for murine and bovine tau suggested that alternative splicing of transcripts could account for the protein size heterogeneity. Analysis of the exon-intron structure of the bovine tau gene provided sequence information necessary to detect new variants of tau transcripts by in vitro amplification techniques. The variant transcripts found corresponded to mRNA species missing one or more exons, whi
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42

Himmler, A. "Structure of the bovine tau gene: alternatively spliced transcripts generate a protein family." Molecular and Cellular Biology 9, no. 4 (1989): 1389–96. http://dx.doi.org/10.1128/mcb.9.4.1389.

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Tau, a major class of microtubule-associated proteins, consists of a family of proteins that are heterogeneous in molecular weight. The presence of internal deletions in previously described cDNA clones for murine and bovine tau suggested that alternative splicing of transcripts could account for the protein size heterogeneity. Analysis of the exon-intron structure of the bovine tau gene provided sequence information necessary to detect new variants of tau transcripts by in vitro amplification techniques. The variant transcripts found corresponded to mRNA species missing one or more exons, whi
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43

Hanes, Jozef, Andrej Kovac, Hlin Kvartsberg, et al. "Evaluation of a novel immunoassay to detect p-tau Thr217 in the CSF to distinguish Alzheimer disease from other dementias." Neurology 95, no. 22 (2020): e3026-e3035. http://dx.doi.org/10.1212/wnl.0000000000010814.

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ObjectiveTo investigate whether tau phosphorylated at Thr217 (p-tau T217) assay in CSF can distinguish patients with Alzheimer disease (AD) from patients with other dementias and healthy controls.MethodsWe developed and validated a novel Simoa immunoassay to detect p-tau T217 in CSF. There was a total of 190 participants from 3 cohorts with AD (n = 77) and other neurodegenerative diseases (n = 69) as well as healthy participants (n = 44).ResultsThe p-tau T217 assay (cutoff 242 pg/mL) identified patients with AD with accuracy of 90%, with 78% positive predictive value (PPV), 97% negative predic
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44

Tripathi, Ankita, Yuvraj Indoliya, Madhu Tiwari, et al. "Transformed yeast (Schizosaccharomyces pombe) overexpressing rice Tau class glutathione S-transferase (OsGSTU30 and OsGSTU41) shows enhanced resistance to hexavalent chromium." Metallomics 6, no. 8 (2014): 1549–57. http://dx.doi.org/10.1039/c4mt00083h.

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45

La Joie, Renaud, Alexandre Bejanin, Anne M. Fagan, et al. "Associations between [18F]AV1451 tau PET and CSF measures of tau pathology in a clinical sample." Neurology 90, no. 4 (2017): e282-e290. http://dx.doi.org/10.1212/wnl.0000000000004860.

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ObjectiveTo assess the relationships between fluid and imaging biomarkers of tau pathology and compare their diagnostic utility in a clinically heterogeneous sample.MethodsFifty-three patients (28 with clinical Alzheimer disease [AD] and 25 with non-AD clinical neurodegenerative diagnoses) underwent β-amyloid (Aβ) and tau ([18F]AV1451) PET and lumbar puncture. CSF biomarkers (Aβ42, total tau [t-tau], and phosphorylated tau [p-tau]) were measured by multianalyte immunoassay (AlzBio3). Receiver operator characteristic analyses were performed to compare discrimination of Aβ-positive AD from non-A
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46

Suslina, Tatiana Aleksandrovna. "Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients." Russian Mathematical Surveys 78, no. 6 (2023): 1023–154. http://dx.doi.org/10.4213/rm10143e.

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In $L_2(\mathbb{R}^d;\mathbb{C}^n)$, we consider a selfadjoint strongly elliptic second-order differential operator ${\mathcal A}_\varepsilon$. It is assumed that the coefficients of ${\mathcal A}_\varepsilon$ are periodic and depend on ${\mathbf x}/\varepsilon$, where $\varepsilon&gt;0$. We study the behaviour of the operator exponential $e^{-i{\mathcal A}_\varepsilon\tau}$ for small $\varepsilon$ and $\tau \in \mathbb{R}$. The results are applied to the homogenization of solutions of the Cauchy problem for the Schrödinger-type equation $i\partial_\tau{\mathbf u}_\varepsilon({\mathbf x},\tau
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47

Matyszkiewicz, W., and A. Kalinowski. "Tau-pair Invariant Mass Estimation Using Maximum Likelihood Estimation and Collinear Approximation." Acta Physica Polonica B Proceedings Supplement 18, no. 5 (2025): 1. https://doi.org/10.5506/aphyspolbsupp.18.5-a21.

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Reconstruction of the invariant mass of the system with two tau leptons faces a challenge of lack of neutrinos in the observed final state of taus’ decays. In this work, we introduce a novel algorithm, which is comparable to other mass reconstruction algorithms in the field of mass resolution and much better considering time performance. We test its performance on Monte Carlo simulations with &lt;span class="sf"&gt;PYTHIA&lt;/span&gt; and &lt;span class="sf"&gt;Delphes&lt;/span&gt; and show that algorithm achieves an average execution time of approximately 3 ms per event, which is around two o
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48

Mattsson-Carlgren, Niklas, Lea T. Grinberg, Adam Boxer, et al. "Cerebrospinal Fluid Biomarkers in Autopsy-Confirmed Alzheimer Disease and Frontotemporal Lobar Degeneration." Neurology 98, no. 11 (2022): e1137-e1150. http://dx.doi.org/10.1212/wnl.0000000000200040.

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Background and ObjectivesTo determine how fully automated Elecsys CSF immunoassays for β-amyloid (Aβ) and tau biomarkers and an ultrasensitive Simoa assay for neurofilament light chain (NFL) correlate with neuropathologic changes of Alzheimer disease (AD) and frontotemporal lobar degeneration (FTLD).MethodsWe studied 101 patients with antemortem CSF and neuropathology data. CSF samples were collected a mean of 2.9 years before death (range 0.2–7.5 years). CSF was analyzed for Aβ40, Aβ42, total tau (T-tau), tau phosphorylated at amino acid residue 181 (P-tau), P-tau/Aβ42 and Aβ42/Aβ40 ratios, a
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Gandini, Annachiara, Manuela Bartolini, Daniele Tedesco та ін. "Tau-Centric Multitarget Approach for Alzheimer’s Disease: Development of First-in-Class Dual Glycogen Synthase Kinase 3β and Tau-Aggregation Inhibitors". Journal of Medicinal Chemistry 61, № 17 (2018): 7640–56. http://dx.doi.org/10.1021/acs.jmedchem.8b00610.

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50

Satar, Serdar, Adnan Tusun, Miraç Yayla, and Gülsevim Tiring. "Amblyseius swirskii Athias-Henriot ve Euseius scutalis Athias-Henriot (Acari:Phytoseiidae)’e Tau-Fluvalinatin Etkisi." Turkish Journal of Agriculture - Food Science and Technology 7, no. 12 (2019): 2190. http://dx.doi.org/10.24925/turjaf.v7i12.2190-2197.2949.

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Amblyseius swirskii Athias-Henriot (Acari:Phytoseiidae) and Euseius scutalis Athias-Henriot (Acari: Phytoseiidae) are important predatory mites for citrus orchards in Turkey. The side effects of insecticides on these predatory mites have been rarely studied. In this study was investigated to the effect of tau-fluvalinate on A. swirskii and E. scutalis. The studies have conducted both laboratory and field. Field studies were carried out detecting of the side effects of tau-fluvalinate on the mixed stages of A.swirskii. and E scutalis. at Seyhan and Kozan districts in Adana, while laboratory stu
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