double exponential decay equation Search Results


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OriginLab corp double exponential decay function fitting origin 7.5
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Built In Equation For A Two Phase Exponential Decay, supplied by GraphPad Software Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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a Fibrin dissolved by the fibrinolytic nanocage (FNC) was monitored by measuring the height of the remaining gel after predetermined lengths of time (0, 0.5, 1, 2, 4, 6, 8, 10, 12, or 24 h). Tris-based saline buffer (TBS) and urokinase (uPA) were used as controls. b The relative decrease in height of the fibrin gels was plotted. The results are presented as the means ± SD ( n = 3 independent experiments), and each line was obtained from the <t>exponential</t> decay equation model as described in the Methods. c To monitor nanoparticle transport across the fibrin gel upon fibrinolysis, a Transwell assay was performed. FNCs and wild-type ferritin nanocages (wFTHs) were placed on the upper chamber of the Transwell plate. The bottom chamber contained only FNC in TBS. d The wFTH transported to the bottom chamber was analyzed by western blot. e The relative intensity of the transported wFTH to the applied wFTH was plotted.
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GraphPad Software Inc exponential decay, one-phase decay equation model
a Fibrin dissolved by the fibrinolytic nanocage (FNC) was monitored by measuring the height of the remaining gel after predetermined lengths of time (0, 0.5, 1, 2, 4, 6, 8, 10, 12, or 24 h). Tris-based saline buffer (TBS) and urokinase (uPA) were used as controls. b The relative decrease in height of the fibrin gels was plotted. The results are presented as the means ± SD ( n = 3 independent experiments), and each line was obtained from the <t>exponential</t> decay equation model as described in the Methods. c To monitor nanoparticle transport across the fibrin gel upon fibrinolysis, a Transwell assay was performed. FNCs and wild-type ferritin nanocages (wFTHs) were placed on the upper chamber of the Transwell plate. The bottom chamber contained only FNC in TBS. d The wFTH transported to the bottom chamber was analyzed by western blot. e The relative intensity of the transported wFTH to the applied wFTH was plotted.
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Blackwell Verlag negative exponential decay model equation
a Fibrin dissolved by the fibrinolytic nanocage (FNC) was monitored by measuring the height of the remaining gel after predetermined lengths of time (0, 0.5, 1, 2, 4, 6, 8, 10, 12, or 24 h). Tris-based saline buffer (TBS) and urokinase (uPA) were used as controls. b The relative decrease in height of the fibrin gels was plotted. The results are presented as the means ± SD ( n = 3 independent experiments), and each line was obtained from the <t>exponential</t> decay equation model as described in the Methods. c To monitor nanoparticle transport across the fibrin gel upon fibrinolysis, a Transwell assay was performed. FNCs and wild-type ferritin nanocages (wFTHs) were placed on the upper chamber of the Transwell plate. The bottom chamber contained only FNC in TBS. d The wFTH transported to the bottom chamber was analyzed by western blot. e The relative intensity of the transported wFTH to the applied wFTH was plotted.
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GraphPad Software Inc gaussian versus one-phase exponential decay equations
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.
Gaussian Versus One Phase Exponential Decay Equations, supplied by GraphPad Software Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Thomann GmbH 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.
Exponential Decay Equation, supplied by Thomann GmbH, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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a Fibrin dissolved by the fibrinolytic nanocage (FNC) was monitored by measuring the height of the remaining gel after predetermined lengths of time (0, 0.5, 1, 2, 4, 6, 8, 10, 12, or 24 h). Tris-based saline buffer (TBS) and urokinase (uPA) were used as controls. b The relative decrease in height of the fibrin gels was plotted. The results are presented as the means ± SD ( n = 3 independent experiments), and each line was obtained from the exponential decay equation model as described in the Methods. c To monitor nanoparticle transport across the fibrin gel upon fibrinolysis, a Transwell assay was performed. FNCs and wild-type ferritin nanocages (wFTHs) were placed on the upper chamber of the Transwell plate. The bottom chamber contained only FNC in TBS. d The wFTH transported to the bottom chamber was analyzed by western blot. e The relative intensity of the transported wFTH to the applied wFTH was plotted.

Journal: Experimental & Molecular Medicine

Article Title: Fibrinolytic nanocages dissolve clots in the tumor microenvironment, improving the distribution and therapeutic efficacy of anticancer drugs

doi: 10.1038/s12276-021-00688-7

Figure Lengend Snippet: a Fibrin dissolved by the fibrinolytic nanocage (FNC) was monitored by measuring the height of the remaining gel after predetermined lengths of time (0, 0.5, 1, 2, 4, 6, 8, 10, 12, or 24 h). Tris-based saline buffer (TBS) and urokinase (uPA) were used as controls. b The relative decrease in height of the fibrin gels was plotted. The results are presented as the means ± SD ( n = 3 independent experiments), and each line was obtained from the exponential decay equation model as described in the Methods. c To monitor nanoparticle transport across the fibrin gel upon fibrinolysis, a Transwell assay was performed. FNCs and wild-type ferritin nanocages (wFTHs) were placed on the upper chamber of the Transwell plate. The bottom chamber contained only FNC in TBS. d The wFTH transported to the bottom chamber was analyzed by western blot. e The relative intensity of the transported wFTH to the applied wFTH was plotted.

Article Snippet: The fibrin decay of each sample was analyzed using the exponential decay equation (GraphPad v. 9.1.2).

Techniques: Saline, Transwell Assay, Western Blot

Fibrin decay parameters using the  exponential decay equation.

Journal: Experimental & Molecular Medicine

Article Title: Fibrinolytic nanocages dissolve clots in the tumor microenvironment, improving the distribution and therapeutic efficacy of anticancer drugs

doi: 10.1038/s12276-021-00688-7

Figure Lengend Snippet: Fibrin decay parameters using the exponential decay equation.

Article Snippet: The fibrin decay of each sample was analyzed using the exponential decay equation (GraphPad v. 9.1.2).

Techniques: Saline

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