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toolbox function aoctool  (MathWorks Inc)


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    MathWorks Inc toolbox function aoctool
    Toolbox Function Aoctool, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 96/100, based on 282 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/matlabs+aoctool+function/Partial+Differential+Equation+Toolbox/pmc04478755-200-6-5
    Average 96 stars, based on 282 article reviews
    toolbox function aoctool - by Bioz Stars, 2026-10
    96/100 stars

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    Article Title: [2601.05872] Toward Quantitative Electric-Field Measurements of Inception Clouds in Nanosecond Discharges Using E-FISH Assisted by Machine Learning
    Article Snippet: The Partial Differential Equation (PDE) toolbox in MATLAB, which assumes two-dimensional (2-D) axisymmetry, is used for this purpose.

    Article Title: Importin-β1 functions as a chromatin sensor to position the contractile ring for cytokinesis
    Article Snippet: The partial differential equations were solved using the PDE toolbox of MATLAB (R2025a).

    Article Title: Synergetic Benefits of Agricultural Sewage Reuse and Floating Photovoltaics in Mexican Wastewater System: A Municipal‐Level WEF Nexus Study
    Article Snippet: The pond volume level equation was resolved by MATLAB R2024a, Ordinary Differential Equations (ODE) toolbox [ ].

    Article Title: A Natural Programmable Metamaterial Controls 3D Curvature of Compound Eyes
    Article Snippet: Unlike the structured uniform triangulations (sIT), sRub was created using a simpler metho leveraging MATLAB’s Partial Differential Equation toolbox to automatically generate scrambled triangles within the sWT boundary.

    Generated:

    Article Title: Importin-β1 functions as a chromatin sensor to position the contractile ring for cytokinesis
    Article Snippet: .. Next, we generated a computational model to predict the Ran-free importin-β1 gradient in metaphase and anaphase HeLa and HCT 116 cells derived from a previously published 1-D model . As described in the methods, we used the partial differentiation equation toolbox in MATLAB to adapt the model to a 2-D geometry which represents a cell in metaphase or anaphase. ..

    Derivative Assay:

    Article Title: Importin-β1 functions as a chromatin sensor to position the contractile ring for cytokinesis
    Article Snippet: .. Next, we generated a computational model to predict the Ran-free importin-β1 gradient in metaphase and anaphase HeLa and HCT 116 cells derived from a previously published 1-D model . As described in the methods, we used the partial differentiation equation toolbox in MATLAB to adapt the model to a 2-D geometry which represents a cell in metaphase or anaphase. ..



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    A : 2PEF map of arterioles and venules (top) and of both vessel and GCaMP7f-expressing nNOS neurons (outlined in white, bottom). Vessels analyzed in B are circled in solid red or blue, and neurons are numbered (1,2,3) B : Arterioles, but not venules, dilate in response to whisker puffs, spontaneous whisking or motion (grooming). Representative Ca 2+ transients in neuron 1, 2, and 3 (middle). Overlay of normalized neural ensemble activity and arteriolar diameter changes highlighting the close correspondence between arteriolar and neural responses (bottom). C : Linear relationship between the magnitude of the ensemble activity and arteriolar dilatation in response to whisking or whisking and spontaneous motion. Notice that with whisking+motion the slope of the relationship is significantly greater than with whisking alone (multiple comparison of one-way analysis of <t>covariance</t> models). D : The distribution of correlation coefficients between arteriolar dilatation and nNOS Ca 2+ transients for individual neurons does not differ in the 3 mice studied (p>0.05; nested one-way ANOVA)(top). The strongest correlation is observed between ensemble activity and arteriolar dilatation (bottom). E : Representative arteriolar diameter changes relative to the timing of the peak Ca 2+ activity in individual neuron during 10 consecutive 5 sec whisker air puffs shown in B . Notice that in some neurons peak activity occur earlier than in other neurons. F : Average of ten raster plots in 3 mice showing early and late active nNOS neurons. Shading indicates standard deviation.
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    A : 2PEF map of arterioles and venules (top) and of both vessel and GCaMP7f-expressing nNOS neurons (outlined in white, bottom). Vessels analyzed in B are circled in solid red or blue, and neurons are numbered (1,2,3) B : Arterioles, but not venules, dilate in response to whisker puffs, spontaneous whisking or motion (grooming). Representative Ca 2+ transients in neuron 1, 2, and 3 (middle). Overlay of normalized neural ensemble activity and arteriolar diameter changes highlighting the close correspondence between arteriolar and neural responses (bottom). C : Linear relationship between the magnitude of the ensemble activity and arteriolar dilatation in response to whisking or whisking and spontaneous motion. Notice that with whisking+motion the slope of the relationship is significantly greater than with whisking alone (multiple comparison of one-way analysis of <t>covariance</t> models). D : The distribution of correlation coefficients between arteriolar dilatation and nNOS Ca 2+ transients for individual neurons does not differ in the 3 mice studied (p>0.05; nested one-way ANOVA)(top). The strongest correlation is observed between ensemble activity and arteriolar dilatation (bottom). E : Representative arteriolar diameter changes relative to the timing of the peak Ca 2+ activity in individual neuron during 10 consecutive 5 sec whisker air puffs shown in B . Notice that in some neurons peak activity occur earlier than in other neurons. F : Average of ten raster plots in 3 mice showing early and late active nNOS neurons. Shading indicates standard deviation.
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    A : 2PEF map of arterioles and venules (top) and of both vessel and GCaMP7f-expressing nNOS neurons (outlined in white, bottom). Vessels analyzed in B are circled in solid red or blue, and neurons are numbered (1,2,3) B : Arterioles, but not venules, dilate in response to whisker puffs, spontaneous whisking or motion (grooming). Representative Ca 2+ transients in neuron 1, 2, and 3 (middle). Overlay of normalized neural ensemble activity and arteriolar diameter changes highlighting the close correspondence between arteriolar and neural responses (bottom). C : Linear relationship between the magnitude of the ensemble activity and arteriolar dilatation in response to whisking or whisking and spontaneous motion. Notice that with whisking+motion the slope of the relationship is significantly greater than with whisking alone (multiple comparison of one-way analysis of covariance models). D : The distribution of correlation coefficients between arteriolar dilatation and nNOS Ca 2+ transients for individual neurons does not differ in the 3 mice studied (p>0.05; nested one-way ANOVA)(top). The strongest correlation is observed between ensemble activity and arteriolar dilatation (bottom). E : Representative arteriolar diameter changes relative to the timing of the peak Ca 2+ activity in individual neuron during 10 consecutive 5 sec whisker air puffs shown in B . Notice that in some neurons peak activity occur earlier than in other neurons. F : Average of ten raster plots in 3 mice showing early and late active nNOS neurons. Shading indicates standard deviation.

    Journal: bioRxiv

    Article Title: Calcium transients in nNOS neurons underlie distinct phases of the neurovascular response to barrel cortex activation in awake mice

    doi: 10.1101/2022.10.03.510654

    Figure Lengend Snippet: A : 2PEF map of arterioles and venules (top) and of both vessel and GCaMP7f-expressing nNOS neurons (outlined in white, bottom). Vessels analyzed in B are circled in solid red or blue, and neurons are numbered (1,2,3) B : Arterioles, but not venules, dilate in response to whisker puffs, spontaneous whisking or motion (grooming). Representative Ca 2+ transients in neuron 1, 2, and 3 (middle). Overlay of normalized neural ensemble activity and arteriolar diameter changes highlighting the close correspondence between arteriolar and neural responses (bottom). C : Linear relationship between the magnitude of the ensemble activity and arteriolar dilatation in response to whisking or whisking and spontaneous motion. Notice that with whisking+motion the slope of the relationship is significantly greater than with whisking alone (multiple comparison of one-way analysis of covariance models). D : The distribution of correlation coefficients between arteriolar dilatation and nNOS Ca 2+ transients for individual neurons does not differ in the 3 mice studied (p>0.05; nested one-way ANOVA)(top). The strongest correlation is observed between ensemble activity and arteriolar dilatation (bottom). E : Representative arteriolar diameter changes relative to the timing of the peak Ca 2+ activity in individual neuron during 10 consecutive 5 sec whisker air puffs shown in B . Notice that in some neurons peak activity occur earlier than in other neurons. F : Average of ten raster plots in 3 mice showing early and late active nNOS neurons. Shading indicates standard deviation.

    Article Snippet: To evaluate statistical differences between the linear correlations of two data sets, we generated one-way analysis of covariance models (Matlab function: aoctool) and ran multiple comparison test (Tukey-Kramer) of the group means (Matlab function: multcompare).

    Techniques: Expressing, Whisker Assay, Activity Assay, Comparison, Standard Deviation