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double-exponential fitting function  (MathWorks Inc)


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    MathWorks Inc double-exponential fitting function
    Double Exponential Fitting Function, supplied by MathWorks Inc, 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/double-exponential+function/pmc10060165-290-8-11
    Average 90 stars, based on 1 article reviews
    double-exponential fitting function - by Bioz Stars, 2026-09
    90/100 stars

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    Article Title: Fast and sensitive GCaMP calcium indicators for imaging neural populations
    Article Snippet: Obtained bleaching profiles were fit using a double-exponential fitting function in MATLAB to calculate their respective time constants ( τ bleach ).

    Article Title: Rapid propagation of membrane tension at retinal bipolar neuron presynaptic terminals.
    Article Snippet: Many cellular activities, such as cell migration, cell division, phagocytosis, and exo-endocytosis, generate and are regulated by membrane tension gradients.. Membrane tension gradients drive membrane flows, but there is controversy over how rapidly plasma membrane flow can relax tension gradients.. Here, we show that membrane tension can propagate rapidly or slowly, spanning orders of magnitude in speed, depending on the cell type.

    Article Title: Rapid propagation of membrane tension at retinal bipolar neuron presynaptic terminals
    Article Snippet: A double-exponential function was fit to the data using the MATLAB Curve Fitting Toolbox.

    Article Title: Force depression following a stretch‐shortening cycle depends on the amount of residual force enhancement established in the initial stretch phase
    Article Snippet: Force redevelopment analysis following the MTU shortening phase was made using the commercial software MATLAB (R2014b, MathWorks, Inc. Natick, MA) and a double exponential function (Seiberl et al. ( ); Corr and Herzog ), as shown below: (1) F re ( t ) = A s × e ( k s × t ) + A f + e ( k f × t ) In order to compare force redevelopment functions across tests and subjects, MTU forces were normalized between 0 (minimum force reached at the end of shortening) and 1 (steady‐state force reached after force redevelopment).

    Single Photon Emission Computed Tomography:

    Article Title: Intratherapeutic biokinetic measurements, dosimetry parameter estimates, and monitoring of treatment efficacy using cerenkov luminescence imaging in preclinical radionuclide therapy.
    Article Snippet: .. CLI and SPECT data then were used to fit a 2-compartment model (19), that is, a double exponential function (Matlab, version 8.1) for the tumor biokinetics, which is shown in Figures 3A and 3B, as guidance for the eye. ..

    Software:

    Article Title: The stretch-shortening cycle (SSC) revisited: residual force enhancement contributes to increased performance during fast SSCs of human m. adductor pollicis.
    Article Snippet: .. Force-time data were fitted using a best-fit double exponential function (equation 1) by means of commercial software MATLAB (R2013b, MathWorks, Inc, Natick, MA): FRedðtÞ 1⁄4 As eðks tÞ þ Af eðkf tÞ (1) For this equation (1) all force-time data were normalized such that 0 force corresponded to the minimum force after shortening, and 1 corresponded to the mean value of force at 2.5–3s after the end of the shortening phase (Fig. 3). ..



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    Confocal microscopic analysis of enhancer activity of mSE078 fragments using PCP-PP7 system in MEF cells. ( A ) Left: Schematic representation of mkrn1 P -12 × PP7-SE reporter plasmid construct. Right: Schematic representation of PCP-PP7 system used in this study. ( B ) Confocal microscopic analysis of tdPCP-CFP (transcript), SOX2-mCherry and p300-GFP signals in MEF cells. Cells were imaged after 24 h-post transfections of four plasmids. Left: 40× magnification images; Right: closed-up images of single cells. ( C ) Quantification of CFP (PCP), mCherry (SOX2) and GFP (p300) foci. Error bars indicate standard errors of means (SEM) from at least 15 nuclei. Quantification was done using ImageJ software. Particle size larger than 2 × 2 μm 2 was calculated. ( D ) Pearson's coefficients of CFP and GFP signals to mCherry signals. Pearson's coefficients were calculated using ImageJ software. Error bars indicate SEMs from ten nuclei. ( E ) Fluorescence recovery after photobleaching (FRAP) measuring SOX2-mCherry condensates in MEF cells co-transfected with PCP-CFP, SOX2-mCherry and p300-GFP plasmids. Photobleaching was initiated at 0 s. Curve shows mean (red dot) and SEM (black bar) of mCherry intensity of five regions. FRAP recovery curves were fitted to the double <t>exponential</t> function. P -values were calculated using one-way ANOVA. (ns) P < 0.1234; (*) P < 0.0332; (**) P < 0.0021; (***) P < 0.0002; (****) P < 0.0001.
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    Incremental stress–strain curves. ( A ) Strain versus time curve for electrospun 75:25 fibrinogen:PCL fiber. The fiber was pulled to a small strain (~10%) and held constant for approximately 30–40 s; this process was repeated with a slightly larger strain at each time. ( B ) Stress versus time curve. At constant strain, the stress relaxes and decays exponentially with time. ( C ) Representative stress relaxation curves. A double <t>exponential</t> curve is fitted to the relaxation curve (R 2 = 0.99) to determine the relaxation times. The fast and slow relaxation times for this curve were 1.8 s and 21 s. ( D ) Moduli versus strain curve. The total modulus, Y tot , (stars) and relaxed, elastic modulus, Y 0 , (dots) decrease as the strain increases. ( E ) The graph shows statistical differences between the slow and fast relaxation times of the fibers with two different ratios. The fiber diameter was 99 nm. ** indicates a p -value < 0.01; **** indicates a p -value < 0.0001.
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    Incremental stress–strain curves. ( A ) Strain versus time curve for electrospun 75:25 fibrinogen:PCL fiber. The fiber was pulled to a small strain (~10%) and held constant for approximately 30–40 s; this process was repeated with a slightly larger strain at each time. ( B ) Stress versus time curve. At constant strain, the stress relaxes and decays exponentially with time. ( C ) Representative stress relaxation curves. A double <t>exponential</t> curve is fitted to the relaxation curve (R 2 = 0.99) to determine the relaxation times. The fast and slow relaxation times for this curve were 1.8 s and 21 s. ( D ) Moduli versus strain curve. The total modulus, Y tot , (stars) and relaxed, elastic modulus, Y 0 , (dots) decrease as the strain increases. ( E ) The graph shows statistical differences between the slow and fast relaxation times of the fibers with two different ratios. The fiber diameter was 99 nm. ** indicates a p -value < 0.01; **** indicates a p -value < 0.0001.
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    Incremental stress–strain curves. ( A ) Strain versus time curve for electrospun 75:25 fibrinogen:PCL fiber. The fiber was pulled to a small strain (~10%) and held constant for approximately 30–40 s; this process was repeated with a slightly larger strain at each time. ( B ) Stress versus time curve. At constant strain, the stress relaxes and decays exponentially with time. ( C ) Representative stress relaxation curves. A double <t>exponential</t> curve is fitted to the relaxation curve (R 2 = 0.99) to determine the relaxation times. The fast and slow relaxation times for this curve were 1.8 s and 21 s. ( D ) Moduli versus strain curve. The total modulus, Y tot , (stars) and relaxed, elastic modulus, Y 0 , (dots) decrease as the strain increases. ( E ) The graph shows statistical differences between the slow and fast relaxation times of the fibers with two different ratios. The fiber diameter was 99 nm. ** indicates a p -value < 0.01; **** indicates a p -value < 0.0001.
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    Incremental stress–strain curves. ( A ) Strain versus time curve for electrospun 75:25 fibrinogen:PCL fiber. The fiber was pulled to a small strain (~10%) and held constant for approximately 30–40 s; this process was repeated with a slightly larger strain at each time. ( B ) Stress versus time curve. At constant strain, the stress relaxes and decays exponentially with time. ( C ) Representative stress relaxation curves. A double <t>exponential</t> curve is fitted to the relaxation curve (R 2 = 0.99) to determine the relaxation times. The fast and slow relaxation times for this curve were 1.8 s and 21 s. ( D ) Moduli versus strain curve. The total modulus, Y tot , (stars) and relaxed, elastic modulus, Y 0 , (dots) decrease as the strain increases. ( E ) The graph shows statistical differences between the slow and fast relaxation times of the fibers with two different ratios. The fiber diameter was 99 nm. ** indicates a p -value < 0.01; **** indicates a p -value < 0.0001.
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    Image Search Results


    Confocal microscopic analysis of enhancer activity of mSE078 fragments using PCP-PP7 system in MEF cells. ( A ) Left: Schematic representation of mkrn1 P -12 × PP7-SE reporter plasmid construct. Right: Schematic representation of PCP-PP7 system used in this study. ( B ) Confocal microscopic analysis of tdPCP-CFP (transcript), SOX2-mCherry and p300-GFP signals in MEF cells. Cells were imaged after 24 h-post transfections of four plasmids. Left: 40× magnification images; Right: closed-up images of single cells. ( C ) Quantification of CFP (PCP), mCherry (SOX2) and GFP (p300) foci. Error bars indicate standard errors of means (SEM) from at least 15 nuclei. Quantification was done using ImageJ software. Particle size larger than 2 × 2 μm 2 was calculated. ( D ) Pearson's coefficients of CFP and GFP signals to mCherry signals. Pearson's coefficients were calculated using ImageJ software. Error bars indicate SEMs from ten nuclei. ( E ) Fluorescence recovery after photobleaching (FRAP) measuring SOX2-mCherry condensates in MEF cells co-transfected with PCP-CFP, SOX2-mCherry and p300-GFP plasmids. Photobleaching was initiated at 0 s. Curve shows mean (red dot) and SEM (black bar) of mCherry intensity of five regions. FRAP recovery curves were fitted to the double exponential function. P -values were calculated using one-way ANOVA. (ns) P < 0.1234; (*) P < 0.0332; (**) P < 0.0021; (***) P < 0.0002; (****) P < 0.0001.

    Journal: Nucleic Acids Research

    Article Title: Molecular basis for SOX2-dependent regulation of super-enhancer activity

    doi: 10.1093/nar/gkad908

    Figure Lengend Snippet: Confocal microscopic analysis of enhancer activity of mSE078 fragments using PCP-PP7 system in MEF cells. ( A ) Left: Schematic representation of mkrn1 P -12 × PP7-SE reporter plasmid construct. Right: Schematic representation of PCP-PP7 system used in this study. ( B ) Confocal microscopic analysis of tdPCP-CFP (transcript), SOX2-mCherry and p300-GFP signals in MEF cells. Cells were imaged after 24 h-post transfections of four plasmids. Left: 40× magnification images; Right: closed-up images of single cells. ( C ) Quantification of CFP (PCP), mCherry (SOX2) and GFP (p300) foci. Error bars indicate standard errors of means (SEM) from at least 15 nuclei. Quantification was done using ImageJ software. Particle size larger than 2 × 2 μm 2 was calculated. ( D ) Pearson's coefficients of CFP and GFP signals to mCherry signals. Pearson's coefficients were calculated using ImageJ software. Error bars indicate SEMs from ten nuclei. ( E ) Fluorescence recovery after photobleaching (FRAP) measuring SOX2-mCherry condensates in MEF cells co-transfected with PCP-CFP, SOX2-mCherry and p300-GFP plasmids. Photobleaching was initiated at 0 s. Curve shows mean (red dot) and SEM (black bar) of mCherry intensity of five regions. FRAP recovery curves were fitted to the double exponential function. P -values were calculated using one-way ANOVA. (ns) P < 0.1234; (*) P < 0.0332; (**) P < 0.0021; (***) P < 0.0002; (****) P < 0.0001.

    Article Snippet: FRAP recovery curves were fitted to the double exponential function in GraphPad Prism software v.8.3.0 (GraphPad software, Boston, MA, USA).

    Techniques: Activity Assay, Plasmid Preparation, Construct, Transfection, Software, Fluorescence

    Incremental stress–strain curves. ( A ) Strain versus time curve for electrospun 75:25 fibrinogen:PCL fiber. The fiber was pulled to a small strain (~10%) and held constant for approximately 30–40 s; this process was repeated with a slightly larger strain at each time. ( B ) Stress versus time curve. At constant strain, the stress relaxes and decays exponentially with time. ( C ) Representative stress relaxation curves. A double exponential curve is fitted to the relaxation curve (R 2 = 0.99) to determine the relaxation times. The fast and slow relaxation times for this curve were 1.8 s and 21 s. ( D ) Moduli versus strain curve. The total modulus, Y tot , (stars) and relaxed, elastic modulus, Y 0 , (dots) decrease as the strain increases. ( E ) The graph shows statistical differences between the slow and fast relaxation times of the fibers with two different ratios. The fiber diameter was 99 nm. ** indicates a p -value < 0.01; **** indicates a p -value < 0.0001.

    Journal: Nanomaterials

    Article Title: The Mechanical Properties of Blended Fibrinogen:Polycaprolactone (PCL) Nanofibers

    doi: 10.3390/nano13081359

    Figure Lengend Snippet: Incremental stress–strain curves. ( A ) Strain versus time curve for electrospun 75:25 fibrinogen:PCL fiber. The fiber was pulled to a small strain (~10%) and held constant for approximately 30–40 s; this process was repeated with a slightly larger strain at each time. ( B ) Stress versus time curve. At constant strain, the stress relaxes and decays exponentially with time. ( C ) Representative stress relaxation curves. A double exponential curve is fitted to the relaxation curve (R 2 = 0.99) to determine the relaxation times. The fast and slow relaxation times for this curve were 1.8 s and 21 s. ( D ) Moduli versus strain curve. The total modulus, Y tot , (stars) and relaxed, elastic modulus, Y 0 , (dots) decrease as the strain increases. ( E ) The graph shows statistical differences between the slow and fast relaxation times of the fibers with two different ratios. The fiber diameter was 99 nm. ** indicates a p -value < 0.01; **** indicates a p -value < 0.0001.

    Article Snippet: Individual stress relaxation curves were fitted to this double exponential function in Origin (OriginLab Corporation, Northampton, MA, USA).

    Techniques: