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multiple gaussian functions  (OriginLab corp)


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    Structured Review

    OriginLab corp multiple gaussian functions
    Magnesium-induced folding of SL ribozyme constructs. Peak E shifts from the <t>Gaussian</t> fits of the FRET histograms at Mg2+ concentrations from 0.01 mM to 1 M for the SL (▪) and WT (⋄) 2WJ, 3WJ, and 4WJ ribozymes (parts A, B, and C, respectively). Peak E values for a control donor-acceptor labeled DNA molecule with dyes separated by 14 base pairs are shown for comparison as solid triangles in the 3WJ graph in part B.
    Multiple Gaussian Functions, supplied by OriginLab corp, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/gaussian+function/multiple+gaussian+functions/pmc01304366-70-6-10
    Average 90 stars, based on 1 article reviews
    multiple gaussian functions - by Bioz Stars, 2026-09
    90/100 stars

    Images

    1) Product Images from "Freely Diffusing Single Hairpin Ribozymes Provide Insights into the Role of Secondary Structure and Partially Folded States in RNA Folding"

    Article Title: Freely Diffusing Single Hairpin Ribozymes Provide Insights into the Role of Secondary Structure and Partially Folded States in RNA Folding

    Journal:

    doi: 10.1529/biophysj.103.036087

    Magnesium-induced folding of SL ribozyme constructs. Peak E shifts from the Gaussian fits of the FRET histograms at Mg2+ concentrations from 0.01 mM to 1 M for the SL (▪) and WT (⋄) 2WJ, 3WJ, and 4WJ ribozymes (parts A, B, and C, respectively). Peak E values for a control donor-acceptor labeled DNA molecule with dyes separated by 14 base pairs are shown for comparison as solid triangles in the 3WJ graph in part B.
    Figure Legend Snippet: Magnesium-induced folding of SL ribozyme constructs. Peak E shifts from the Gaussian fits of the FRET histograms at Mg2+ concentrations from 0.01 mM to 1 M for the SL (▪) and WT (⋄) 2WJ, 3WJ, and 4WJ ribozymes (parts A, B, and C, respectively). Peak E values for a control donor-acceptor labeled DNA molecule with dyes separated by 14 base pairs are shown for comparison as solid triangles in the 3WJ graph in part B.

    Techniques Used: Construct, Control, Labeling, Comparison

    Ratiometric spFRET data for the WT 4WJ ribozyme. (A) Example of donor (black) and acceptor (gray) emission bursts observed in spFRET experiments. A time trace is presented for the WT 4WJ ribozyme at a concentration of 100 pM in 50 mM Tris/HCl buffer with 0.1 mM Mg2+ at room temperature, and the data integration time per point was 0.5 ms. Fluorescent donor and acceptor bursts are observed above background. A buffer (background) time trace is also shown for comparison. Only bursts above a threshold of 40 counts (sum of donor and acceptor signals) were used to construct FRET efficiency histograms. (B) FRET efficiency histogram derived from calculation of FRET efficiencies from each accepted donor/acceptor event above a threshold of 40 counts, showing the docked and undocked subpopulations (see text), as well as the zero-E peak. The solid lines show fits using Gaussian functions.
    Figure Legend Snippet: Ratiometric spFRET data for the WT 4WJ ribozyme. (A) Example of donor (black) and acceptor (gray) emission bursts observed in spFRET experiments. A time trace is presented for the WT 4WJ ribozyme at a concentration of 100 pM in 50 mM Tris/HCl buffer with 0.1 mM Mg2+ at room temperature, and the data integration time per point was 0.5 ms. Fluorescent donor and acceptor bursts are observed above background. A buffer (background) time trace is also shown for comparison. Only bursts above a threshold of 40 counts (sum of donor and acceptor signals) were used to construct FRET efficiency histograms. (B) FRET efficiency histogram derived from calculation of FRET efficiencies from each accepted donor/acceptor event above a threshold of 40 counts, showing the docked and undocked subpopulations (see text), as well as the zero-E peak. The solid lines show fits using Gaussian functions.

    Techniques Used: Concentration Assay, Comparison, Construct, Derivative Assay

    FRET efficiency histogram for a G11I mutant of the 4WJ ribozyme at 0.1 mM Mg2+, using the same conditions as for data presented in Fig. 3. Solid lines show fits using Gaussian functions. The relative area of the high efficiency (docked) peak is markedly reduced relative to the wild-type 4WJ ribozyme (Fig. 3), reflecting a destabilized tertiary structure for the mutant.
    Figure Legend Snippet: FRET efficiency histogram for a G11I mutant of the 4WJ ribozyme at 0.1 mM Mg2+, using the same conditions as for data presented in Fig. 3. Solid lines show fits using Gaussian functions. The relative area of the high efficiency (docked) peak is markedly reduced relative to the wild-type 4WJ ribozyme (Fig. 3), reflecting a destabilized tertiary structure for the mutant.

    Techniques Used: Mutagenesis

    Schematic representation of WT ribozyme constructs used for spFRET studies (upper panel). FRET efficiency histograms (bars) for wild-type 2WJ, 3WJ, and 4WJ hairpin ribozymes, showing undocked and docked ribozyme subpopulations at Mg2+ concentrations of 0.01, 0.1, 1, and 10 mM (lower panel). Data were acquired using a ribozyme concentration of 100 pM in 50 mM Tris/HCl buffer with Mg2+ at room temperature, and the data integration time per point was 0.5 ms. The smooth lines show fits using Gaussian functions.
    Figure Legend Snippet: Schematic representation of WT ribozyme constructs used for spFRET studies (upper panel). FRET efficiency histograms (bars) for wild-type 2WJ, 3WJ, and 4WJ hairpin ribozymes, showing undocked and docked ribozyme subpopulations at Mg2+ concentrations of 0.01, 0.1, 1, and 10 mM (lower panel). Data were acquired using a ribozyme concentration of 100 pM in 50 mM Tris/HCl buffer with Mg2+ at room temperature, and the data integration time per point was 0.5 ms. The smooth lines show fits using Gaussian functions.

    Techniques Used: Construct, Concentration Assay

    Single-loop 2WJ, 3WJ, and 4WJ ribozyme constructs (upper panel) and corresponding FRET efficiency histograms at Mg2+ concentrations of 0.01, 0.1, 1, and 10 mM (lower panel). Data were acquired using a ribozyme concentration of 100 pM in 50 mM Tris/HCl buffer with Mg2+ at room temperature, and the data integration time per point was 0.5 ms. The smooth lines show fits using Gaussian functions.
    Figure Legend Snippet: Single-loop 2WJ, 3WJ, and 4WJ ribozyme constructs (upper panel) and corresponding FRET efficiency histograms at Mg2+ concentrations of 0.01, 0.1, 1, and 10 mM (lower panel). Data were acquired using a ribozyme concentration of 100 pM in 50 mM Tris/HCl buffer with Mg2+ at room temperature, and the data integration time per point was 0.5 ms. The smooth lines show fits using Gaussian functions.

    Techniques Used: Construct, Concentration Assay

    Kinetic information from peak shape analysis of spFRET histograms. (A) Overlay of FRET efficiency histograms for SL (bold solid line) and WT 4WJ (data as bar graph, Gaussian fit as solid line) ribozymes at 10 mM Mg2+, emphasizing the asymmetric peak shape for the SL 4WJ. The error bars represent single standard deviations. (B) Overlay of FRET histograms from two-state simulations (lines) and experimental data (bars; errors represent single standard deviations) for the SL 4WJ at 10 mM Mg2+. The extended-undocked (EU)–quasi-docked (QD) equilibrium scheme is shown in the inset. Simulated histograms are shown for forward/reverse (k1/k−1) rate constants of 20 × 103/6.8 × 103 s−1 (bold solid line, 1), 41 × 103/14 × 103 s−1 (bold dashed line, 2), and 10 × 103/3.4 × 103 s−1 (bold dash-dot-dashed line, 3) with a corresponding equilibrium constant of 3 in favor of the quasi-docked state in all cases. See text for details.
    Figure Legend Snippet: Kinetic information from peak shape analysis of spFRET histograms. (A) Overlay of FRET efficiency histograms for SL (bold solid line) and WT 4WJ (data as bar graph, Gaussian fit as solid line) ribozymes at 10 mM Mg2+, emphasizing the asymmetric peak shape for the SL 4WJ. The error bars represent single standard deviations. (B) Overlay of FRET histograms from two-state simulations (lines) and experimental data (bars; errors represent single standard deviations) for the SL 4WJ at 10 mM Mg2+. The extended-undocked (EU)–quasi-docked (QD) equilibrium scheme is shown in the inset. Simulated histograms are shown for forward/reverse (k1/k−1) rate constants of 20 × 103/6.8 × 103 s−1 (bold solid line, 1), 41 × 103/14 × 103 s−1 (bold dashed line, 2), and 10 × 103/3.4 × 103 s−1 (bold dash-dot-dashed line, 3) with a corresponding equilibrium constant of 3 in favor of the quasi-docked state in all cases. See text for details.

    Techniques Used:



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