exponential decay, one-phase decay equation model Search Results


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<t> One-phase exponential decay model </t> equations summary
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Image processing. ( a , b ) Representative frequency distribution of pixel population of non-labelled (negative control) ( a ) and lectin-labelled ( b ) left ventricle after 3D imaging by light sheet microscopy. 1: background. 2: non-labelled cardiac tissue. 3: lectin-labelled capillary network. ( c ), <t>Gaussian</t> fit of the subset of pixels corresponding to the cardiac tissue from curve ( a ). ( d ), Gaussian fit of the subset of pixels corresponding to the cardiac tissue from curve ( b ). ( e ), Representative segmented image of left ventricle capillary network. The image was obtained by overlaying the original capillaries image and the binarized image of the capillaries obtain after segmentation. ( f ), Skeletonization and image mapping of the capillary network of ( e ). Average radii of each segment are encoded in false colors from blue to red. The image was obtained by overlaying the skeleton and the distance map images of the capillary network.
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Image processing. ( a , b ) Representative frequency distribution of pixel population of non-labelled (negative control) ( a ) and lectin-labelled ( b ) left ventricle after 3D imaging by light sheet microscopy. 1: background. 2: non-labelled cardiac tissue. 3: lectin-labelled capillary network. ( c ), <t>Gaussian</t> fit of the subset of pixels corresponding to the cardiac tissue from curve ( a ). ( d ), Gaussian fit of the subset of pixels corresponding to the cardiac tissue from curve ( b ). ( e ), Representative segmented image of left ventricle capillary network. The image was obtained by overlaying the original capillaries image and the binarized image of the capillaries obtain after segmentation. ( f ), Skeletonization and image mapping of the capillary network of ( e ). Average radii of each segment are encoded in false colors from blue to red. The image was obtained by overlaying the skeleton and the distance map images of the capillary network.
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GraphPad Software Inc two-phase and one-phase exponential decay equation
Image processing. ( a , b ) Representative frequency distribution of pixel population of non-labelled (negative control) ( a ) and lectin-labelled ( b ) left ventricle after 3D imaging by light sheet microscopy. 1: background. 2: non-labelled cardiac tissue. 3: lectin-labelled capillary network. ( c ), <t>Gaussian</t> fit of the subset of pixels corresponding to the cardiac tissue from curve ( a ). ( d ), Gaussian fit of the subset of pixels corresponding to the cardiac tissue from curve ( b ). ( e ), Representative segmented image of left ventricle capillary network. The image was obtained by overlaying the original capillaries image and the binarized image of the capillaries obtain after segmentation. ( f ), Skeletonization and image mapping of the capillary network of ( e ). Average radii of each segment are encoded in false colors from blue to red. The image was obtained by overlaying the skeleton and the distance map images of the capillary network.
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Image Search Results


 One-phase exponential decay model  equations summary

Journal: Experimental eye research

Article Title: IN-VIVO LONGITUDINAL CHANGES IN THICKNESS OF THE CANINE POSTNATAL RETINA

doi: 10.1016/j.exer.2020.107926

Figure Lengend Snippet: One-phase exponential decay model equations summary

Article Snippet: We used the following one-phase exponential decay model ( Leike, 2002 ) to describe the change of thickness over time.

Techniques:

Image processing. ( a , b ) Representative frequency distribution of pixel population of non-labelled (negative control) ( a ) and lectin-labelled ( b ) left ventricle after 3D imaging by light sheet microscopy. 1: background. 2: non-labelled cardiac tissue. 3: lectin-labelled capillary network. ( c ), Gaussian fit of the subset of pixels corresponding to the cardiac tissue from curve ( a ). ( d ), Gaussian fit of the subset of pixels corresponding to the cardiac tissue from curve ( b ). ( e ), Representative segmented image of left ventricle capillary network. The image was obtained by overlaying the original capillaries image and the binarized image of the capillaries obtain after segmentation. ( f ), Skeletonization and image mapping of the capillary network of ( e ). Average radii of each segment are encoded in false colors from blue to red. The image was obtained by overlaying the skeleton and the distance map images of the capillary network.

Journal: Biology

Article Title: 3D Imaging and Quantitative Characterization of Mouse Capillary Coronary Network Architecture

doi: 10.3390/biology10040306

Figure Lengend Snippet: Image processing. ( a , b ) Representative frequency distribution of pixel population of non-labelled (negative control) ( a ) and lectin-labelled ( b ) left ventricle after 3D imaging by light sheet microscopy. 1: background. 2: non-labelled cardiac tissue. 3: lectin-labelled capillary network. ( c ), Gaussian fit of the subset of pixels corresponding to the cardiac tissue from curve ( a ). ( d ), Gaussian fit of the subset of pixels corresponding to the cardiac tissue from curve ( b ). ( e ), Representative segmented image of left ventricle capillary network. The image was obtained by overlaying the original capillaries image and the binarized image of the capillaries obtain after segmentation. ( f ), Skeletonization and image mapping of the capillary network of ( e ). Average radii of each segment are encoded in false colors from blue to red. The image was obtained by overlaying the skeleton and the distance map images of the capillary network.

Article Snippet: For each parameter, the best fitting curve of the frequency distribution was determined by statistical comparison of Gaussian versus one-phase exponential decay equations with F test using GraphPad Prism.

Techniques: Negative Control, Imaging, Microscopy

Architectural parameters. Data obtained from the left ventricle (blue), septum (red), and right ventricle (green) of six hearts. ( a ). Relative frequency distribution of segment length. Data were fitted by one-phase exponential decay. ( b ). Relative frequency distribution of segment diameter. Data were fitted by Gaussian equation. ( c ). Relative frequency distribution of segment tortuosity. Data were fitted by one-phase exponential decay. Curves between LV, S, and RV were compared by F tests.

Journal: Biology

Article Title: 3D Imaging and Quantitative Characterization of Mouse Capillary Coronary Network Architecture

doi: 10.3390/biology10040306

Figure Lengend Snippet: Architectural parameters. Data obtained from the left ventricle (blue), septum (red), and right ventricle (green) of six hearts. ( a ). Relative frequency distribution of segment length. Data were fitted by one-phase exponential decay. ( b ). Relative frequency distribution of segment diameter. Data were fitted by Gaussian equation. ( c ). Relative frequency distribution of segment tortuosity. Data were fitted by one-phase exponential decay. Curves between LV, S, and RV were compared by F tests.

Article Snippet: For each parameter, the best fitting curve of the frequency distribution was determined by statistical comparison of Gaussian versus one-phase exponential decay equations with F test using GraphPad Prism.

Techniques:

Architectural parameters. Values were obtained by non-linear regression of frequency distribution of data from left ventricle (LV), septum (S), and right ventricle (RV) of six mouse hearts (see <xref ref-type= Figure 3 ). λ : length constant of one-phase exponential decay. μ and σ : mean and standard deviation of Gaussian distribution. τ : tortuosity constant of one-phase exponential decay." width="100%" height="100%">

Journal: Biology

Article Title: 3D Imaging and Quantitative Characterization of Mouse Capillary Coronary Network Architecture

doi: 10.3390/biology10040306

Figure Lengend Snippet: Architectural parameters. Values were obtained by non-linear regression of frequency distribution of data from left ventricle (LV), septum (S), and right ventricle (RV) of six mouse hearts (see Figure 3 ). λ : length constant of one-phase exponential decay. μ and σ : mean and standard deviation of Gaussian distribution. τ : tortuosity constant of one-phase exponential decay.

Article Snippet: For each parameter, the best fitting curve of the frequency distribution was determined by statistical comparison of Gaussian versus one-phase exponential decay equations with F test using GraphPad Prism.

Techniques: Standard Deviation

Confocal microscopy. ( a ). Segmented image of left ventricle capillary network. ( b ). Relative frequency distribution of segment length. Data were fitted by one-phase exponential decay. ( c ). Relative frequency distribution of segment diameter. Data were fitted by Gaussian equation. ( d ). Relative frequency distribution of segment tortuosity. Data were fitted by one-phase exponential decay.

Journal: Biology

Article Title: 3D Imaging and Quantitative Characterization of Mouse Capillary Coronary Network Architecture

doi: 10.3390/biology10040306

Figure Lengend Snippet: Confocal microscopy. ( a ). Segmented image of left ventricle capillary network. ( b ). Relative frequency distribution of segment length. Data were fitted by one-phase exponential decay. ( c ). Relative frequency distribution of segment diameter. Data were fitted by Gaussian equation. ( d ). Relative frequency distribution of segment tortuosity. Data were fitted by one-phase exponential decay.

Article Snippet: For each parameter, the best fitting curve of the frequency distribution was determined by statistical comparison of Gaussian versus one-phase exponential decay equations with F test using GraphPad Prism.

Techniques: Confocal Microscopy