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    MathWorks Inc nonlinear least-squares via the levenberg-marquardt algorithm in
    Nonlinear Least Squares Via The Levenberg Marquardt Algorithm In, 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/nonlinear+least-squares+algorithm+(levenberg%E2%80%93marquardt)/pmc11344096-395-19-22
    Average 90 stars, based on 1 article reviews
    nonlinear least-squares via the levenberg-marquardt algorithm in - by Bioz Stars, 2026-09
    90/100 stars

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    Modification:

    Article Title: Energetics and dynamics of the proton shuttle of carbonic anhydrase II
    Article Snippet: Accordingly, the pH titration curves of His64 and its surrounding were fitted with a nonlinear least-squares regression analysis (Levenberg–Marquardt algorithm) to standard Hendersson-Hasselbalch equations with 2 macroscopic p K a values in a global way using Matlab.

    Article Title: Influence of Temperature on Soil Dielectric Spectra in the 20 MHz – 3 GHz Frequency Range
    Article Snippet: Measurement of soil dielectric permittivity is frequently used as a basis for soil water content estimation by many commercial and experimental sensors.. However, the relations between dielectric permittivity and soil water content may be affected by various other factors, including texture, salinity, and temperature.. In this present article, spectra of complex dielectric permittivity of samples of loamy sand, sandy loam, and silt loam soils of various water content and bulk electrical conductivity were measured with the use of a six-cell coaxial transmission-line system in the 20 MHz–3 GHz frequency range at temperatures from 0.5 C to 40 C. The analysis focused on the impact of temperature on: 1) the real part of complex dielectric permittivity; 2) the relations between the real part of dielectric permittivity and volumetric water content; and 3) bulk electrical conductivity estimated from dielectric modeling.

    Article Title: Energetics and dynamics of the proton shuttle of carbonic anhydrase II.
    Article Snippet: Accordingly, the pH titration curves of His64 and its surrounding were fitted with a nonlinear least-squares regression analysis (Levenberg–Marquardt algorithm) to standard Hendersson-Hasselbalch equations with 2 macroscopic pKa values in a global way using Matlab.

    Article Title: Dopamine activates astrocytes in prefrontal cortex via α1-adrenergic receptors
    Article Snippet: To identify steady-state increases or decreases in fluorescence, traces were smoothened using a moving average and then fit using a modified Boltzmann’s sigmoidal equation y = a+(b−a)/(1 + exp((c−x)/d), where a is the bottom, b is the top, c is the inflection point and d is the slope, using a nonlinear least squares algorithm (Levenberg-Marquardt) in MATLAB.

    Article Title: Network-level encoding of local neurotransmitters in cortical astrocytes
    Article Snippet: To identify this point, traces were fitted using a modified Boltzmann’s sigmoidal equation: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f\left(x\right)=\frac{a}{1+{{\rm{e}}}^{\left(b-x\right)/d}}+c$$\end{document} f x = a 1 + e b − x / d + c in which a is the difference between the minimum and the maximum fluorescence, b is the inflection point, c is the baseline fluorescence and d is the slope, using a nonlinear least-squares algorithm (Levenberg–Marquardt) in MATLAB (Mathworks).

    Article Title: Network-level encoding of local neurotransmitters in cortical astrocytes.
    Article Snippet: To identify this point, traces were fitted using a modified Boltzmann’s sigmoidal equation: f x a c( ) = 1 + e +b x d( − ) / in which a is the difference between the minimum and the maximum fluorescence, b is the inflection point, c is the baseline fluorescence and d is the slope, using a nonlinear least-squares algorithm (Levenberg– Marquardt) in MATLAB (Mathworks).

    Article Title: Slow ramping emerges from spontaneous fluctuations in spiking neural networks
    Article Snippet: We fit a sigmoid function to the trial-averaged smoothed firing rates (400 ms Gaussian) using nonlinear least-squares via the Levenberg-Marquardt algorithm in MATLAB.

    Article Title: Focused Shear Wave Beam Propagation in Tissue-Mimicking Phantoms
    Article Snippet: OBJECTIVE: Ultrasound transient elastography (TE) technologies for liver stiffness measurement (LSM) utilize vibration of small, flat pistons, which generate shear waves that lack directivity.. The most common cause for LSM failure in practice is insufficient shear wave signal at the needed depths.. We propose to increase shear wave amplitude by focusing the waves into a directional beam.

    Fluorescence:

    Article Title: Energetics and dynamics of the proton shuttle of carbonic anhydrase II
    Article Snippet: Accordingly, the pH titration curves of His64 and its surrounding were fitted with a nonlinear least-squares regression analysis (Levenberg–Marquardt algorithm) to standard Hendersson-Hasselbalch equations with 2 macroscopic p K a values in a global way using Matlab.

    Article Title: Influence of Temperature on Soil Dielectric Spectra in the 20 MHz – 3 GHz Frequency Range
    Article Snippet: Measurement of soil dielectric permittivity is frequently used as a basis for soil water content estimation by many commercial and experimental sensors.. However, the relations between dielectric permittivity and soil water content may be affected by various other factors, including texture, salinity, and temperature.. In this present article, spectra of complex dielectric permittivity of samples of loamy sand, sandy loam, and silt loam soils of various water content and bulk electrical conductivity were measured with the use of a six-cell coaxial transmission-line system in the 20 MHz–3 GHz frequency range at temperatures from 0.5 C to 40 C. The analysis focused on the impact of temperature on: 1) the real part of complex dielectric permittivity; 2) the relations between the real part of dielectric permittivity and volumetric water content; and 3) bulk electrical conductivity estimated from dielectric modeling.

    Article Title: Energetics and dynamics of the proton shuttle of carbonic anhydrase II.
    Article Snippet: Accordingly, the pH titration curves of His64 and its surrounding were fitted with a nonlinear least-squares regression analysis (Levenberg–Marquardt algorithm) to standard Hendersson-Hasselbalch equations with 2 macroscopic pKa values in a global way using Matlab.

    Article Title: Dopamine activates astrocytes in prefrontal cortex via α1-adrenergic receptors
    Article Snippet: To identify steady-state increases or decreases in fluorescence, traces were smoothened using a moving average and then fit using a modified Boltzmann’s sigmoidal equation y = a+(b−a)/(1 + exp((c−x)/d), where a is the bottom, b is the top, c is the inflection point and d is the slope, using a nonlinear least squares algorithm (Levenberg-Marquardt) in MATLAB.

    Article Title: Network-level encoding of local neurotransmitters in cortical astrocytes
    Article Snippet: To identify this point, traces were fitted using a modified Boltzmann’s sigmoidal equation: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f\left(x\right)=\frac{a}{1+{{\rm{e}}}^{\left(b-x\right)/d}}+c$$\end{document} f x = a 1 + e b − x / d + c in which a is the difference between the minimum and the maximum fluorescence, b is the inflection point, c is the baseline fluorescence and d is the slope, using a nonlinear least-squares algorithm (Levenberg–Marquardt) in MATLAB (Mathworks).

    Article Title: Network-level encoding of local neurotransmitters in cortical astrocytes.
    Article Snippet: To identify this point, traces were fitted using a modified Boltzmann’s sigmoidal equation: f x a c( ) = 1 + e +b x d( − ) / in which a is the difference between the minimum and the maximum fluorescence, b is the inflection point, c is the baseline fluorescence and d is the slope, using a nonlinear least-squares algorithm (Levenberg– Marquardt) in MATLAB (Mathworks).

    Article Title: Slow ramping emerges from spontaneous fluctuations in spiking neural networks
    Article Snippet: We fit a sigmoid function to the trial-averaged smoothed firing rates (400 ms Gaussian) using nonlinear least-squares via the Levenberg-Marquardt algorithm in MATLAB.

    Article Title: Focused Shear Wave Beam Propagation in Tissue-Mimicking Phantoms
    Article Snippet: OBJECTIVE: Ultrasound transient elastography (TE) technologies for liver stiffness measurement (LSM) utilize vibration of small, flat pistons, which generate shear waves that lack directivity.. The most common cause for LSM failure in practice is insufficient shear wave signal at the needed depths.. We propose to increase shear wave amplitude by focusing the waves into a directional beam.



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