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code for curve fitting  (MathWorks Inc)


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    MathWorks Inc code for curve fitting
    Code For Curve Fitting, 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/code+for+curve+fitting/pmc09804108-244-5-2
    Average 90 stars, based on 1 article reviews
    code for curve fitting - by Bioz Stars, 2026-09
    90/100 stars

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    Related Articles

    other:

    Article Title: A probabilistic model of behavioural emergence from general anaesthesia in mice.
    Article Snippet: Data were analysed in MATLAB (2024a, MathWorks, Natick, MA, USA) using the Curve Fitting, Symbolic Math, and Statistics and Machine Learning Toolboxes.

    Article Title: Effects of network selection and acoustic environment on bounding-box object detection of delphinid whistles using a deep learning tool.
    Article Snippet: This graphical user interface tool used the following MATLAB (version R2023b developed by The MathWorks, MATLAB, 2023) toolboxes: Computer Vision, Curve Fitting, Deep Learning, Image Processing, Parallel Computing, Signal Processing, and Statistics and Machine Learning.

    Article Title: HeSARIC: A Heterogeneous Cyber–Physical Robotic Swarm Framework for Structural Health Monitoring with Augmented Reality Representation
    Article Snippet: For the wall inspection, the curve fitting was performed by MATLAB R2023b on the point clouds of the depth camera, and the radius of curvature was determined to have a value of 15.48 m, which was previously 11.869 m in 2014 [ ].

    Article Title: Curcumin and vitamin D3 release from calcium phosphate enhances bone regeneration.
    Article Snippet: Improving early in vivo osseointegration and removing residual cancer cells after tumor removal requires the development of novel bone implants with osteogenic and anti-cancer properties.. Here, curcumin and vitamin D3 (Cur/VitD3) are loaded into calcium phosphate (CaP) matrices to improve in vivo osteogenesis and inhibit the proliferation of human osteosarcoma cells.. Patient-specific, 3D-printed tricalcium phosphate (TCP) loaded with Cur/VitD3 increases the viability of in vitro osteoblast cells after 11 days.

    Article Title: Investigating topological descriptor and Gibb's energy for semiconducting carbon allotrope through advanced curve fitting model.
    Article Snippet: Curve fitting using MATLAB is carried out to identify precise mathematical correlation between these indices and Gibbs energy.

    Article Title: A flexible MRF approach to improve kinetic rate estimation with bSSFP-based hyperpolarized [1- 13 C]pyruvate MRI.
    Article Snippet: Funding information National Heart, Lung, and Blood Institute, Grant/Award Number: R33HL161816; University of California, San Francisco; National Cancer Institute, Grant/Award Number: R01CA249909; National Institute of Diabetes and Digestive and Kidney Diseases, Grant/Award Number: R21DK130002; National Institute of Biomedical Imaging and Bioengineering, Grant/Award Numbers: P41EB013598, T32EB001631 Abstract Purpose: In this work, we adopt the MR fingerprinting (MRF) framework and leverage its flexibility in quantitative pulse sequence design to propose improved balanced steady-state free precession (bSSFP)–based hyperpolarized Carbon-13 (13C) acquisitions for robust metabolic conversion rate quantification.. Methods: Spectrally selective bSSFP-based acquisitions with variable RF excitation were implemented for [1-13C]pyruvate and used in conjunction with prior implementation of [1-13C]lactate selective bSSFP imaging.. MRF framework parameter estimation was performed using dictionary-based template matching.

    Article Title: The influence of different implantation depths on the hemodynamics in the treatment of stenosis in the starting segment of vertebral arteries.
    Article Snippet: Stent implantation depth significantly influences the hemodynamics of the vertebral and subclavian arteries in treating vertebral artery stenosis.. This study utilized computational fluid dynamics (CFD) to analyze key hemodynamic parameters in a vertebral artery model with a stent implanted at different depths.. Results showed that excessive stent extension into the subclavian artery alters local blood flow, increasing the risk of thrombosis and plaque formation.

    Generated:

    Article Title: The relationship between geochemical background values of MgO and SiO₂ and regional population longevity: evidence from Yunnan, China
    Article Snippet: .. Scatter plots were generated, and curve fitting was performed using MATLAB to visually illustrate the relationship between the synergistic effects of these elements and regional population longevity levels. ..



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    Representative O 2 pressure profiles drawn from datasets v4 (first two columns) and v5 (third column). Profiles ( a , b , d , f ) show a gradient discontinuity at the lower boundary; profiles ( c , e ) do not. Negative/positive locations correspond to points lying above/below the x = 0 line of symmetry. Key: × = sample values; ⊗ = samples selected for 9-point in-tissue curve-fit (parabola or <t>paracosh);</t> dashed-green = extrapolation of parabola/paracosh curve into fluid layers above (left) and below (right) the tissue–fluid interface; dashed-red = tangent to curve at boundary with slope ( ∂ P / ∂ x ) | x = L [mmHg/ μ m]; solid-black linear segments identify linear pressure trends in proximal fluid layer; ‘Curv’ = 10 3 × curvature = 10 3 × ( 2 a ) [mmHg/ μ m 2 ]. Gradient ratios ‘slopeL/tang’, ‘slopeR/tang’ give estimates for above-slice, below-slice ( K t / K f ) Krogh ratios; ratios exceeding cutoff value 0.725 are rejected.
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    MathWorks Inc curve fitting code
    Representative O 2 pressure profiles drawn from datasets v4 (first two columns) and v5 (third column). Profiles ( a , b , d , f ) show a gradient discontinuity at the lower boundary; profiles ( c , e ) do not. Negative/positive locations correspond to points lying above/below the x = 0 line of symmetry. Key: × = sample values; ⊗ = samples selected for 9-point in-tissue curve-fit (parabola or <t>paracosh);</t> dashed-green = extrapolation of parabola/paracosh curve into fluid layers above (left) and below (right) the tissue–fluid interface; dashed-red = tangent to curve at boundary with slope ( ∂ P / ∂ x ) | x = L [mmHg/ μ m]; solid-black linear segments identify linear pressure trends in proximal fluid layer; ‘Curv’ = 10 3 × curvature = 10 3 × ( 2 a ) [mmHg/ μ m 2 ]. Gradient ratios ‘slopeL/tang’, ‘slopeR/tang’ give estimates for above-slice, below-slice ( K t / K f ) Krogh ratios; ratios exceeding cutoff value 0.725 are rejected.
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    Representative O 2 pressure profiles drawn from datasets v4 (first two columns) and v5 (third column). Profiles ( a , b , d , f ) show a gradient discontinuity at the lower boundary; profiles ( c , e ) do not. Negative/positive locations correspond to points lying above/below the x = 0 line of symmetry. Key: × = sample values; ⊗ = samples selected for 9-point in-tissue curve-fit (parabola or <t>paracosh);</t> dashed-green = extrapolation of parabola/paracosh curve into fluid layers above (left) and below (right) the tissue–fluid interface; dashed-red = tangent to curve at boundary with slope ( ∂ P / ∂ x ) | x = L [mmHg/ μ m]; solid-black linear segments identify linear pressure trends in proximal fluid layer; ‘Curv’ = 10 3 × curvature = 10 3 × ( 2 a ) [mmHg/ μ m 2 ]. Gradient ratios ‘slopeL/tang’, ‘slopeR/tang’ give estimates for above-slice, below-slice ( K t / K f ) Krogh ratios; ratios exceeding cutoff value 0.725 are rejected.
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    Image Search Results


    Representative O 2 pressure profiles drawn from datasets v4 (first two columns) and v5 (third column). Profiles ( a , b , d , f ) show a gradient discontinuity at the lower boundary; profiles ( c , e ) do not. Negative/positive locations correspond to points lying above/below the x = 0 line of symmetry. Key: × = sample values; ⊗ = samples selected for 9-point in-tissue curve-fit (parabola or paracosh); dashed-green = extrapolation of parabola/paracosh curve into fluid layers above (left) and below (right) the tissue–fluid interface; dashed-red = tangent to curve at boundary with slope ( ∂ P / ∂ x ) | x = L [mmHg/ μ m]; solid-black linear segments identify linear pressure trends in proximal fluid layer; ‘Curv’ = 10 3 × curvature = 10 3 × ( 2 a ) [mmHg/ μ m 2 ]. Gradient ratios ‘slopeL/tang’, ‘slopeR/tang’ give estimates for above-slice, below-slice ( K t / K f ) Krogh ratios; ratios exceeding cutoff value 0.725 are rejected.

    Journal: International Journal of Molecular Sciences

    Article Title: Determination of Krogh Coefficient for Oxygen Consumption Measurement from Thin Slices of Rodent Cortical Tissue Using a Fick’s Law Model of Diffusion

    doi: 10.3390/ijms24076450

    Figure Lengend Snippet: Representative O 2 pressure profiles drawn from datasets v4 (first two columns) and v5 (third column). Profiles ( a , b , d , f ) show a gradient discontinuity at the lower boundary; profiles ( c , e ) do not. Negative/positive locations correspond to points lying above/below the x = 0 line of symmetry. Key: × = sample values; ⊗ = samples selected for 9-point in-tissue curve-fit (parabola or paracosh); dashed-green = extrapolation of parabola/paracosh curve into fluid layers above (left) and below (right) the tissue–fluid interface; dashed-red = tangent to curve at boundary with slope ( ∂ P / ∂ x ) | x = L [mmHg/ μ m]; solid-black linear segments identify linear pressure trends in proximal fluid layer; ‘Curv’ = 10 3 × curvature = 10 3 × ( 2 a ) [mmHg/ μ m 2 ]. Gradient ratios ‘slopeL/tang’, ‘slopeR/tang’ give estimates for above-slice, below-slice ( K t / K f ) Krogh ratios; ratios exceeding cutoff value 0.725 are rejected.

    Article Snippet: The Matlab paracosh curve-fitting codes plus associated sample pO 2 depth profiles will be supplied on request to the corresponding author (D.A.S.-R.).

    Techniques:

    Summary table for 47 pO 2 pressure profiles. ‘Ref’ = vnn where v = [3, 4, 5] identifies dataset, nn = profile index; ‘Flow’ = aCSF flow rate [mL/min]; ‘Flat’ = flag indicating  paracosh  (1) or parabolic (0) fit; ‘rmse’ = rms error for curve fit [mmHg]; ‘Curvature’ = 10 3 × ( 2 a ) [mmHg/ μ m 2 ]; P s = fitted surface pressure at x = L boundary [mmHg]; P min = fitted pressure at x = 0 [mmHg]; ‘Tangent’ = ( ∂ P / ∂ x ) | x = L [mmHg/ μ m]; ‘Ratio (top)’, ‘Ratio (bot)’ = Krogh ratio ( K t / K f ) at upper, lower interface. NB: Values in [brackets] are to be disregarded (existence of stationary layer is implausible).

    Journal: International Journal of Molecular Sciences

    Article Title: Determination of Krogh Coefficient for Oxygen Consumption Measurement from Thin Slices of Rodent Cortical Tissue Using a Fick’s Law Model of Diffusion

    doi: 10.3390/ijms24076450

    Figure Lengend Snippet: Summary table for 47 pO 2 pressure profiles. ‘Ref’ = vnn where v = [3, 4, 5] identifies dataset, nn = profile index; ‘Flow’ = aCSF flow rate [mL/min]; ‘Flat’ = flag indicating paracosh (1) or parabolic (0) fit; ‘rmse’ = rms error for curve fit [mmHg]; ‘Curvature’ = 10 3 × ( 2 a ) [mmHg/ μ m 2 ]; P s = fitted surface pressure at x = L boundary [mmHg]; P min = fitted pressure at x = 0 [mmHg]; ‘Tangent’ = ( ∂ P / ∂ x ) | x = L [mmHg/ μ m]; ‘Ratio (top)’, ‘Ratio (bot)’ = Krogh ratio ( K t / K f ) at upper, lower interface. NB: Values in [brackets] are to be disregarded (existence of stationary layer is implausible).

    Article Snippet: The Matlab paracosh curve-fitting codes plus associated sample pO 2 depth profiles will be supplied on request to the corresponding author (D.A.S.-R.).

    Techniques:

    Distribution of Krogh ratios as a function of curvature of fitted parabolic/paracosh function. Results are clustered by dataset (three columns: v3/v4/v5) and interface (two rows: upper/lower). Dashed-red horizontal marks the selected cut-off between accepted (below red line) and rejected (above line) Krogh ratios. Scanning from left to right, lower aCSF flow rates are generally associated with reduced curvature values, implying increasingly constrained O 2 consumption. Linked pairs show repeated sampling at the same location. For v4, flow rate was set at 1 (open circles) or 2 mL/min (filled circles); for v5, flow rate was fixed at 0.5 mL/min. Outlier pairs 414/416 (v4) and 507/508 (v5) have very discrepant Krogh ratio estimates at the lower interface, possibly due to mechanical disturbance of the slice during withdrawal of O 2 probe prior to repeat sounding. See and .

    Journal: International Journal of Molecular Sciences

    Article Title: Determination of Krogh Coefficient for Oxygen Consumption Measurement from Thin Slices of Rodent Cortical Tissue Using a Fick’s Law Model of Diffusion

    doi: 10.3390/ijms24076450

    Figure Lengend Snippet: Distribution of Krogh ratios as a function of curvature of fitted parabolic/paracosh function. Results are clustered by dataset (three columns: v3/v4/v5) and interface (two rows: upper/lower). Dashed-red horizontal marks the selected cut-off between accepted (below red line) and rejected (above line) Krogh ratios. Scanning from left to right, lower aCSF flow rates are generally associated with reduced curvature values, implying increasingly constrained O 2 consumption. Linked pairs show repeated sampling at the same location. For v4, flow rate was set at 1 (open circles) or 2 mL/min (filled circles); for v5, flow rate was fixed at 0.5 mL/min. Outlier pairs 414/416 (v4) and 507/508 (v5) have very discrepant Krogh ratio estimates at the lower interface, possibly due to mechanical disturbance of the slice during withdrawal of O 2 probe prior to repeat sounding. See and .

    Article Snippet: The Matlab paracosh curve-fitting codes plus associated sample pO 2 depth profiles will be supplied on request to the corresponding author (D.A.S.-R.).

    Techniques: Sampling

    Flow rate clustering and curvature dependence aggregated across (lower interface) of d–f. ( a ) Aggregated scatterplot of candidate Krogh ratio ( K t / K f ) vs. curvature of fitted parabolic/paracosh function, clustered by flow rate [10, 2, 1, or 0.5] mL/min, as indicated by shaded convex-hull polygons (computed via Matlab function convhull). Qualitatively, the polygon centroids move to the left as flow rate decreases, implying that curvature decreases (profiles become flatter) as perfusion flow rate is reduced. This trend is made quantitative in ( b ) with a sigmoid fit to the curvature means (magenta asterisks) at each flow rate. The fitted curve is y = y max · x n / ( K n + x n ) with [ y max = 7.5 × 10 − 3 mmHg/ μ m 2 ; K = 0.75 mL/min; n = 0.75 ].

    Journal: International Journal of Molecular Sciences

    Article Title: Determination of Krogh Coefficient for Oxygen Consumption Measurement from Thin Slices of Rodent Cortical Tissue Using a Fick’s Law Model of Diffusion

    doi: 10.3390/ijms24076450

    Figure Lengend Snippet: Flow rate clustering and curvature dependence aggregated across (lower interface) of d–f. ( a ) Aggregated scatterplot of candidate Krogh ratio ( K t / K f ) vs. curvature of fitted parabolic/paracosh function, clustered by flow rate [10, 2, 1, or 0.5] mL/min, as indicated by shaded convex-hull polygons (computed via Matlab function convhull). Qualitatively, the polygon centroids move to the left as flow rate decreases, implying that curvature decreases (profiles become flatter) as perfusion flow rate is reduced. This trend is made quantitative in ( b ) with a sigmoid fit to the curvature means (magenta asterisks) at each flow rate. The fitted curve is y = y max · x n / ( K n + x n ) with [ y max = 7.5 × 10 − 3 mmHg/ μ m 2 ; K = 0.75 mL/min; n = 0.75 ].

    Article Snippet: The Matlab paracosh curve-fitting codes plus associated sample pO 2 depth profiles will be supplied on request to the corresponding author (D.A.S.-R.).

    Techniques:

    Curvature histograms for each of the [v3, v4, v5] datasets illustrated in . As flow rate decreases from ( a ) 10 → ( b ) [1 or 2] → ( c ) 0.5 mL/min, average curvature decreases, meaning that the parabolic/paracosh curves become ‘flatter’ with shallower wings. For fixed K t , a flatter curvature implies reduced metabolism.

    Journal: International Journal of Molecular Sciences

    Article Title: Determination of Krogh Coefficient for Oxygen Consumption Measurement from Thin Slices of Rodent Cortical Tissue Using a Fick’s Law Model of Diffusion

    doi: 10.3390/ijms24076450

    Figure Lengend Snippet: Curvature histograms for each of the [v3, v4, v5] datasets illustrated in . As flow rate decreases from ( a ) 10 → ( b ) [1 or 2] → ( c ) 0.5 mL/min, average curvature decreases, meaning that the parabolic/paracosh curves become ‘flatter’ with shallower wings. For fixed K t , a flatter curvature implies reduced metabolism.

    Article Snippet: The Matlab paracosh curve-fitting codes plus associated sample pO 2 depth profiles will be supplied on request to the corresponding author (D.A.S.-R.).

    Techniques:

    Journal: Cell Reports

    Article Title: CRISPR-Cas9 screen identifies oxidative phosphorylation as essential for cancer cell survival at low extracellular pH

    doi: 10.1016/j.celrep.2022.110493

    Figure Lengend Snippet:

    Article Snippet: Survival curve fitting code , This paper , Mendeley Data: https://doi.org/10.17632/3x3fv6n6cz.1.

    Techniques: Virus, Knock-Out, CRISPR, Recombinant, Radio Immunoprecipitation, Cell Culture, Gel Extraction, Purification, Bicinchoninic Acid Protein Assay, Construct, Software