gaussian versus one-phase exponential decay equations  (GraphPad Software Inc)

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

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:

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

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