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Matlab r2015

Manufactured by MathWorks
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MATLAB R2015 is a high-level programming language and numerical computing environment developed by MathWorks. It is designed for technical and scientific computing, allowing users to perform matrix and array calculations, data analysis, algorithm development, and visualization.

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13 protocols using matlab r2015

1

Statistical Analysis of Biological Data

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Data normality was verified by evaluation of the Kolmogorow−Smirnov−Lillefors and Shapiro−Wilk tests and variance ratio by the Levene’s test. Differences among experimental groups were tested by using either the ANOVA or the Kruskal−Wallis tests according to the distribution, normal or not, of the variables with post hoc Benjamini-Hochberg (FDR, false discovery rate) and Bonferroni test, respectively, for multiple comparisons. The levels of statistical significance were set at 95% level (p < 0.05). Statistical analyses were performed using Matlab R2015 (Mathworks) software. MetaboAnalyst data annotation tool was used for testing the relationships between variables [50 (link)]. Multivariate (unsupervised and supervised) analysis as well as other multivariate calculation and plots was performed by using SIMCA−P + 14.0 (Umetrics, Umeå, Sweden).
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2

Confocal Raman Mapping of Cells

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Raman spectra were recorded at an excitation wavelength of 532 nm from 200 to 1800 cm−1 using a water-immersion 63 × objective (0.90 N.A.) on a confocal spectroscope (inVia Raman Microscope, Renishaw). For automatic confocal Raman mapping, confocal Raman spectra were recorded with a step size < 1 µm in the X–Y plane, for a total number of 9 × 9 spectra. Spectra were automatically acquired along the Z direction, where Z = 0 corresponds to the highest contrast of the cell on a bright-field image. The setup has an axial resolution of 2 μm. The spectrometer was calibrated before measurements using an internal standard. 3D maps were generated using a custom Matlab script (Matlab R2015, Mathworks).
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3

Probing Lipid Raft Dynamics with Fluorescence

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GUVs were deposited on coverslips coated with casein (2 mg.mL−1) fitted in an Attofluor cell chamber (Thermo Fisher Scientific, Inc.). Labeled FL-Gag was added to the buffer. Spectral images were acquired at constant excitation intensity at 488 nm, 561 nm and 633 nm using an emission spectral range between 499 and 690 nm with a 8 nm resolution. Linear unmixing of these images was done to avoid potential bleed-through due to fluorophore emission overlapping. To establish the spatial auto-correlation of the fluorescence intensity of TF-PIP2 or A594-FL-Gag on basic composition GUVs, the change in intensity was plotted along the GUV using the following integration:

Intensity was plotted with r. sin θ as the length unit. The obtained curves were autocorrelated using either the autocorr or the xcorr function of Matlab R2015 (Mathworks®).
Intensity partition of each label in the case of raft GUVs was determined using the following equations:

θi and θo were determined with the help of Alexa647-CtxB intensity circular profile.
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4

Evaluating Colchicine's Impact on Atherosclerosis

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Univariate statistical analysis (UVA) was carried out with an in-house developed script for MATLAB R2015 (Mathworks, Inc., Natick, MA, USA) whereas SIMCA P + 12.0.1 was used for multivariate analyses (MVA). For MVA, log-transformation and Unit Variance (UV)-scaling were used to build the respective matrices per technique. Unsupervised (Principal Components Analysis, PCA) and supervised (orthogonal partial least squares discriminant analysis, OPLS-DA) analyses were applied to check trends, outliers, and to select discriminating variables correspondingly. For UVA, Repeated Measures ANOVA was applied. The factors were the development of atherosclerosis (“within factor”, associated with time) and the treatment with colchicine (“between factor”, associated with the group). Bonferroni-corrected p-values for the significance of each factor, as well as for the interaction, were computed for all metabolites. Fold change (FC) was calculated as (average value in the case group/average value in the reference group). For those metabolites that showed p-value < 0.05 for any factor or interaction, two log2(FC) were calculated: of the comparison of [rabbits after 36 weeks vs. rabbits after 18 weeks, both without colchicine] (i.e., atherosclerosis progression) and [rabbits after 36 weeks with colchicine vs. rabbits after 36 weeks without colchicine] (i.e., colchicine treatment).
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5

NMR Data Processing and Metabolite Identification

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The baseline correction and phasing of NMR spectra were performed with TopSpin software (Bruker, USA) for chemical shift referencing. NMR spectral data were processed using MATLAB R2015 version 9.10 (MathWorks Inc., USA) software equipped with the IMPaCTS toolbox (https://doi.org/10.5281/zenodo.3077413) for conducting probabilistic quotient normalization (PQN). Statistical total correlation spectroscopy (STOCY) [11 (link)] was used to validate the appearances of correlated resonances on 1-dimensional NMR spectra which were searched for against public databases including the human metabolome database (HMDB) and ChenomxNMR Suite version 9.0 (Chenomx Inc., Canada) for metabolite identification. Data can be accessed at Open Science Framework (https://osf.io/sqftm/).
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6

Dimensional Accuracy Analysis of Digitized Dental Models

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Deviations between the digitized master model and the stone model scans were analyzed with the aid of Geomagic Design X (3D Systems, Germany) and Matlab R2015 (Mathworks, Natick, MA, USA). Scan regions showing the precision balls were cropped, sphere center positions calculated by means of optimization (least squares, fixed nominal sphere radius), and sphere distances determined. After use of a coordinate transformation aligning the global scan coordinate system with that of the reference model, each of the three reference surfaces was separately aligned with each scan and the local coordinate systems moved along (cf. Fig. 2). In detail, the following measurement data (n = 10 samples per subgroup, 3 measurement repetitions per sample) were reported in this manuscript:

Global accuracy

Distance changes between precision ball centers

Distance changes between preparation margin centers and angular changes between the tooth axes

Local accuracy

For each prepared surface, trueness and precision were analyzed separately (based on absolute values) by means of mesh deviation.

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7

Circadian Rhythm Analysis of Fly Locomotion

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Locomotor activity from DD Days 1–9 was then normalized for aχ2 periodogram with a 95% confidence cutoff and SNR analysis, to estimate circadian rhythmicity (Levine et al., 2002 ). Arrhythmic flies were defined by a power value less than 10 and width lower than 1, or a period less than 18, or more than 30 h. Data were analyzed in R 3.3.3 and MATLAB R2015 (MathWorks, Natick, MA, USA).
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8

Electrical Impedance Tomography Analysis

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The data were digitally filtered using a low-pass filter with a cut-off frequency of 0.67 Hz to eliminate cardiac-related impedance changes. The data were analyzed offline using customized software programmed with MATLAB R2015 (the MathWorks Inc., Natick, MA, USA). EIT images were divided into four symmetrical, non-overlapping and ventral-to-dorsal horizontal regions of interest (ROIs), ranging from the gravity-independent areas to the gravity-dependent areas, namely, the ventral (ROI1), mid-ventral (ROI2), mid-dorsal (ROI3), and dorsal (ROI4) regions. Moreover, the ventilation maps were also divided into symmetrical, non-overlapping, four cross quadrants: lower left (LL), lower right (LR), upper left (UL) and upper right (UR). TV/VT was defined as the ratio of tidal impedance variation/tidal volume.
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9

Variant Inclusion Criteria for Analyses

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The following criteria were used for inclusion of a variant in our analyses: a minimum proportion of the variant within the sample of 1% (to mitigate the effects of amplification and sequencing errors [13 (link),14 (link),35 (link),36 (link)], and a minimum of 5 sequence reads for the variant. Sensitivity analyses using different threshold settings are shown below under “Sensitivity analyses”. This data selection and all subsequent analyses were performed in Matlab R 2015 (The Mathworks) unless otherwise indicated.
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10

MRI-Based 3D Tumor Segmentation Protocol

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All patients were studied using either a 1.5- or 3.0-T MRI scanner prior to surgery. T1-weighted imaging with and without gadolinium enhancement, T2-weighted (T2WI), and Fluid attenuation inversion recovery (FLAIR) images were acquired in all cases for delineation of tumors. T2WI was used for further analysis. Digital Imaging and COmmunication in Medicine (Dicom) format images were converted into Neuroimaging Informatics Technology Initiative (NIfTI) format using MRIConvert (http://lcni.uoregon.edu/downloads/mriconvert) and were subsequently analyzed by an in-house software developed on Matlab R2015 (MathWorks, Natick, MA). The developed software is capable of creating voxels-of-interest (VOI) in three dimensions from the original NIfTI data by manual segmentation. High intensity lesions on T2WI were manually segmented to create a 3D VOI for all of the cases (Fig 1). Diffuse high intensity lesions surrounding the presumed tumor core were all included in the VOI.
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