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  1. Article: Accurate closed-form solution of the SIR epidemic model.

    Barlow, Nathaniel S / Weinstein, Steven J

    Physica D. Nonlinear phenomena

    2020  Volume 408, Page(s) 132540

    Abstract: ... of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing ...

    Abstract An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
    Keywords covid19
    Language English
    Publishing date 2020-04-29
    Publishing country Netherlands
    Document type Journal Article
    ZDB-ID 1466587-6
    ISSN 1872-8022 ; 0167-2789
    ISSN (online) 1872-8022
    ISSN 0167-2789
    DOI 10.1016/j.physd.2020.132540
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  2. Article: Accurate closed-form solution of the SIR epidemic model

    Barlow, Nathaniel S / Weinstein, Steven J

    Physica D

    Abstract: ... of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing ...

    Abstract An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #177245
    Database COVID19

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  3. Article: Accurate closed-form solution of the SIR epidemic model

    Nathaniel Barlow S. / Steven Weinstein J.

    Abstract: ... of Asymptotic Approximants (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48). The solution is created ...

    Abstract An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
    Keywords covid19
    Publisher arxiv
    Document type Article
    Database COVID19

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  4. Article: Analytic solution of the SEIR epidemic model via asymptotic approximant.

    Weinstein, Steven J / Holland, Morgan S / Rogers, Kelly E / Barlow, Nathaniel S

    Physica D. Nonlinear phenomena

    2020  Volume 411, Page(s) 132633

    Abstract: An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation ... ...

    Abstract An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in
    Keywords covid19
    Language English
    Publishing date 2020-06-25
    Publishing country Netherlands
    Document type Journal Article
    ZDB-ID 1466587-6
    ISSN 1872-8022 ; 0167-2789
    ISSN (online) 1872-8022
    ISSN 0167-2789
    DOI 10.1016/j.physd.2020.132633
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  5. Book ; Online: Accurate closed-form solution of the SIR epidemic model

    Barlow, Nathaniel S. / Weinstein, Steven J.

    2020  

    Abstract: ... of Asymptotic Approximants (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48). The solution is created ...

    Abstract An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.

    Comment: Updates: Fixed a typo in previous version's equation 6c. Included link to Python code
    Keywords Quantitative Biology - Populations and Evolution ; Physics - Physics and Society ; covid19
    Publishing date 2020-04-16
    Publishing country us
    Document type Book ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  6. Article: Analytic solution of the SEIR epidemic model via asymptotic approximant

    Weinstein, Steven J. / Holland, Morgan S. / Rogers, Kelly E. / Barlow, Nathaniel S.

    Phys D Nonlinear Phenom

    Abstract: ... of the epidemic model. This is achieved through an asymptotic approximant (Barlow et al., 2017) in the form ...

    Abstract An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in lnS and analytically continuing its divergent power series solution such that it matches the correct long-time exponential damping of the epidemic model. This is achieved through an asymptotic approximant (Barlow et al., 2017) in the form of a modified symmetric Padé approximant that incorporates this damping. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #613723
    Database COVID19

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  7. Book ; Online: Analytic solution of the SEIR epidemic model via asymptotic approximant

    Weinstein, Steven J. / Holland, Morgan S. / Rogers, Kelly E. / Barlow, Nathaniel S.

    2020  

    Abstract: ... by constructing a single second-order nonlinear differential equation in $\ln S$ and analytically continuing ... of the epidemic model. This is achieved through an asymptotic approximant (Barlow et. al, 2017, Q. Jl Mech. Appl ...

    Abstract An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in $\ln S$ and analytically continuing its divergent power series solution such that it matches the correct long-time exponential damping of the epidemic model. This is achieved through an asymptotic approximant (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48) in the form of a modified symmetric Pad\'e approximant that incorporates this damping. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.

    Comment: original version had substantial text overlap with arXiv:2004.07833; this is now less so
    Keywords Quantitative Biology - Populations and Evolution ; Physics - Physics and Society ; covid19
    Publishing date 2020-06-12
    Publishing country us
    Document type Book ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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  8. Article ; Online: Communication: Analytic continuation of the virial series through the critical point using parametric approximants.

    Barlow, Nathaniel S / Schultz, Andrew J / Weinstein, Steven J / Kofke, David A

    The Journal of chemical physics

    2015  Volume 143, Issue 7, Page(s) 71103

    Abstract: The mathematical structure imposed by the thermodynamic critical point motivates an approximant that synthesizes two theoretically sound equations of state: the parametric and the virial. The former is constructed to describe the critical region, ... ...

    Abstract The mathematical structure imposed by the thermodynamic critical point motivates an approximant that synthesizes two theoretically sound equations of state: the parametric and the virial. The former is constructed to describe the critical region, incorporating all scaling laws; the latter is an expansion about zero density, developed from molecular considerations. The approximant is shown to yield an equation of state capable of accurately describing properties over a large portion of the thermodynamic parameter space, far greater than that covered by each treatment alone.
    Language English
    Publishing date 2015-08-21
    Publishing country United States
    Document type Journal Article
    ZDB-ID 3113-6
    ISSN 1089-7690 ; 0021-9606
    ISSN (online) 1089-7690
    ISSN 0021-9606
    DOI 10.1063/1.4929392
    Database MEDical Literature Analysis and Retrieval System OnLINE

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    In stock of ZB MED Bonn / Germany

    Z 4' 49/16: Show issues

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  9. Article ; Online: A Novel Approach to Single Cell RNA-Sequence Analysis Facilitates In Silico Gene Reporting of Human Pluripotent Stem Cell-Derived Retinal Cell Types.

    Phillips, M Joseph / Jiang, Peng / Howden, Sara / Barney, Patrick / Min, Jee / York, Nathaniel W / Chu, Li-Fang / Capowski, Elizabeth E / Cash, Abigail / Jain, Shivani / Barlow, Katherine / Tabassum, Tasnia / Stewart, Ron / Pattnaik, Bikash R / Thomson, James A / Gamm, David M

    Stem cells (Dayton, Ohio)

    2017  Volume 36, Issue 3, Page(s) 313–324

    Abstract: Cell type-specific investigations commonly use gene reporters or single-cell analytical techniques. However, reporter line development is arduous and generally limited to a single gene of interest, while single-cell RNA (scRNA)-sequencing (seq) ... ...

    Abstract Cell type-specific investigations commonly use gene reporters or single-cell analytical techniques. However, reporter line development is arduous and generally limited to a single gene of interest, while single-cell RNA (scRNA)-sequencing (seq) frequently yields equivocal results that preclude definitive cell identification. To examine gene expression profiles of multiple retinal cell types derived from human pluripotent stem cells (hPSCs), we performed scRNA-seq on optic vesicle (OV)-like structures cultured under cGMP-compatible conditions. However, efforts to apply traditional scRNA-seq analytical methods based on unbiased algorithms were unrevealing. Therefore, we developed a simple, versatile, and universally applicable approach that generates gene expression data akin to those obtained from reporter lines. This method ranks single cells by expression level of a bait gene and searches the transcriptome for genes whose cell-to-cell rank order expression most closely matches that of the bait. Moreover, multiple bait genes can be combined to refine datasets. Using this approach, we provide further evidence for the authenticity of hPSC-derived retinal cell types. Stem Cells 2018;36:313-324.
    MeSH term(s) Gene Expression Profiling ; High-Throughput Nucleotide Sequencing/methods ; Humans ; Pluripotent Stem Cells/cytology ; Pluripotent Stem Cells/metabolism ; Retina/cytology ; Sequence Analysis, RNA/methods ; Single-Cell Analysis/methods
    Language English
    Publishing date 2017-12-25
    Publishing country United States
    Document type Journal Article ; Research Support, N.I.H., Extramural ; Research Support, Non-U.S. Gov't
    ZDB-ID 1143556-2
    ISSN 1549-4918 ; 1066-5099
    ISSN (online) 1549-4918
    ISSN 1066-5099
    DOI 10.1002/stem.2755
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    In stock of ZB MED Cologne/Königswinter

    Zs.A 1894: Show issues Location:
    Je nach Verfügbarkeit (siehe Angabe bei Bestand)
    bis Jg. 1994: Bestellungen von Artikeln über das Online-Bestellformular
    Jg. 1995 - 2021: Lesesall (1.OG)
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  10. Article ; Online: Nicotinamide N-methyltransferase catalyses the N-methylation of the endogenous β-carboline norharman: evidence for a novel detoxification pathway.

    Thomas, Martin G / Sartini, Davide / Emanuelli, Monica / van Haren, Matthijs J / Martin, Nathaniel I / Mountford, David M / Barlow, David J / Klamt, Fábio / Ramsden, David B / Reza, Madeehah / Parsons, Richard B

    The Biochemical journal

    2016  Volume 473, Issue 19, Page(s) 3253–3267

    Abstract: ... of 90 ± 20 µM, a kcat of 3 × 10(-4) ± 2 × 10(-5) s(-1) and a specificity constant (kcat/Km) of 3 ± 1 s ...

    Abstract Nicotinamide N-methyltransferase (NNMT) is responsible for the N-methylation of nicotinamide to 1-methylnicotinamide. Our recent studies have demonstrated that NNMT regulates cellular processes fundamental to the correct functioning and survival of the cell. It has been proposed that NNMT may possess β-carboline (BC) N-methyltransferase activity, endogenously and exogenously produced pyridine-containing compounds which, when N-methylated, are potent inhibitors of Complex I and have been proposed to have a role in the pathogenesis of Parkinson's disease. We have investigated the ability of recombinant NNMT to N-methylate norharman (NH) to 2-N-methylnorharman (MeNH). In addition, we have investigated the toxicity of the BC NH, its precursor 1,2,3,4-tetrahydronorharman (THNH) and its N-methylated metabolite MeNH, using our in vitro SH-SY5Y NNMT expression model. Recombinant NNMT demonstrated NH 2N-methyltransferase activity, with a Km of 90 ± 20 µM, a kcat of 3 × 10(-4) ± 2 × 10(-5) s(-1) and a specificity constant (kcat/Km) of 3 ± 1 s(-1) M(-1) THNH was the least toxic of all three compounds investigated, whereas NH demonstrated the greatest, with no difference observed in terms of cell viability and cell death between NNMT-expressing and non-expressing cells. In NNMT-expressing cells, MeNH increased cell viability and cellular ATP concentration in a dose-dependent manner after 72 and 120 h incubation, an effect that was not observed after 24 h incubation or in non-NNNT-expressing cells at any time point. Taken together, these results suggest that NNMT may be a detoxification pathway for BCs such as NH.
    MeSH term(s) Carbolines/metabolism ; Catalysis ; Cell Line, Tumor ; Humans ; Methylation ; Nicotinamide N-Methyltransferase/metabolism
    Chemical Substances Carbolines ; norharman (94HMA1I78O) ; Nicotinamide N-Methyltransferase (EC 2.1.1.1)
    Language English
    Publishing date 2016-10-01
    Publishing country England
    Document type Journal Article
    ZDB-ID 2969-5
    ISSN 1470-8728 ; 0006-2936 ; 0306-3275 ; 0264-6021
    ISSN (online) 1470-8728
    ISSN 0006-2936 ; 0306-3275 ; 0264-6021
    DOI 10.1042/BCJ20160219
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