modified euler numerical integration method Search Results


modified euler method (runge-kutta, order 2)  (MathWorks Inc)
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Early alterations in nociceptive markers in Ppt1 −/− mouse spinal cords. Immunostaining for (A) Substance‐P <t>(SubP)</t> and (B) calcitonin gene‐related peptide (CGRP) reveal age‐related changes in these markers in the dorsal horn of Ppt1 −/− mice. Representative images of dorsal horns of spinal cords reveal an increase in SubP immunoreactivity in laminae I‐II at 2 months and increased CGRP immunoreactivity in laminae I‐II beginning at 2 months as measured by image densitometry (average pixel luminance). Measures of area of immunoreactivity (µm 2 ) confirmed a greater area of CGRP immunoreactivity at 1 month in Ppt1 −/− mice across all time points as compared to WT (wild‐type) mice. Thresholding image analysis of positively stained fibres in laminae III‐IV of CGRP‐stained tissue showed a consistent increased in values in Ppt1 −/− mice across all time points as compared to WT mice. Scale bars = 200µm. P‐values ‐ *p ≤ 0.05, **p ≤ 0.01, ***p ≤ 0.001, ****p ≤ 0.0001; two‐way ANOVA with post hoc Bonferroni correction. Values shown are mean ± SEM. (n = 5 mice/group).
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Early alterations in nociceptive markers in Ppt1 −/− mouse spinal cords. Immunostaining for (A) Substance‐P <t>(SubP)</t> and (B) calcitonin gene‐related peptide (CGRP) reveal age‐related changes in these markers in the dorsal horn of Ppt1 −/− mice. Representative images of dorsal horns of spinal cords reveal an increase in SubP immunoreactivity in laminae I‐II at 2 months and increased CGRP immunoreactivity in laminae I‐II beginning at 2 months as measured by image densitometry (average pixel luminance). Measures of area of immunoreactivity (µm 2 ) confirmed a greater area of CGRP immunoreactivity at 1 month in Ppt1 −/− mice across all time points as compared to WT (wild‐type) mice. Thresholding image analysis of positively stained fibres in laminae III‐IV of CGRP‐stained tissue showed a consistent increased in values in Ppt1 −/− mice across all time points as compared to WT mice. Scale bars = 200µm. P‐values ‐ *p ≤ 0.05, **p ≤ 0.01, ***p ≤ 0.001, ****p ≤ 0.0001; two‐way ANOVA with post hoc Bonferroni correction. Values shown are mean ± SEM. (n = 5 mice/group).
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modified euler numerical integration method  (MathWorks Inc)
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Early alterations in nociceptive markers in Ppt1 −/− mouse spinal cords. Immunostaining for (A) Substance‐P <t>(SubP)</t> and (B) calcitonin gene‐related peptide (CGRP) reveal age‐related changes in these markers in the dorsal horn of Ppt1 −/− mice. Representative images of dorsal horns of spinal cords reveal an increase in SubP immunoreactivity in laminae I‐II at 2 months and increased CGRP immunoreactivity in laminae I‐II beginning at 2 months as measured by image densitometry (average pixel luminance). Measures of area of immunoreactivity (µm 2 ) confirmed a greater area of CGRP immunoreactivity at 1 month in Ppt1 −/− mice across all time points as compared to WT (wild‐type) mice. Thresholding image analysis of positively stained fibres in laminae III‐IV of CGRP‐stained tissue showed a consistent increased in values in Ppt1 −/− mice across all time points as compared to WT mice. Scale bars = 200µm. P‐values ‐ *p ≤ 0.05, **p ≤ 0.01, ***p ≤ 0.001, ****p ≤ 0.0001; two‐way ANOVA with post hoc Bonferroni correction. Values shown are mean ± SEM. (n = 5 mice/group).
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modified euler method  (MathWorks Inc)
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Early alterations in nociceptive markers in Ppt1 −/− mouse spinal cords. Immunostaining for (A) Substance‐P <t>(SubP)</t> and (B) calcitonin gene‐related peptide (CGRP) reveal age‐related changes in these markers in the dorsal horn of Ppt1 −/− mice. Representative images of dorsal horns of spinal cords reveal an increase in SubP immunoreactivity in laminae I‐II at 2 months and increased CGRP immunoreactivity in laminae I‐II beginning at 2 months as measured by image densitometry (average pixel luminance). Measures of area of immunoreactivity (µm 2 ) confirmed a greater area of CGRP immunoreactivity at 1 month in Ppt1 −/− mice across all time points as compared to WT (wild‐type) mice. Thresholding image analysis of positively stained fibres in laminae III‐IV of CGRP‐stained tissue showed a consistent increased in values in Ppt1 −/− mice across all time points as compared to WT mice. Scale bars = 200µm. P‐values ‐ *p ≤ 0.05, **p ≤ 0.01, ***p ≤ 0.001, ****p ≤ 0.0001; two‐way ANOVA with post hoc Bonferroni correction. Values shown are mean ± SEM. (n = 5 mice/group).
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modified predictor–corrector (pc) euler method  (Stamm GmbH)
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Early alterations in nociceptive markers in Ppt1 −/− mouse spinal cords. Immunostaining for (A) Substance‐P <t>(SubP)</t> and (B) calcitonin gene‐related peptide (CGRP) reveal age‐related changes in these markers in the dorsal horn of Ppt1 −/− mice. Representative images of dorsal horns of spinal cords reveal an increase in SubP immunoreactivity in laminae I‐II at 2 months and increased CGRP immunoreactivity in laminae I‐II beginning at 2 months as measured by image densitometry (average pixel luminance). Measures of area of immunoreactivity (µm 2 ) confirmed a greater area of CGRP immunoreactivity at 1 month in Ppt1 −/− mice across all time points as compared to WT (wild‐type) mice. Thresholding image analysis of positively stained fibres in laminae III‐IV of CGRP‐stained tissue showed a consistent increased in values in Ppt1 −/− mice across all time points as compared to WT mice. Scale bars = 200µm. P‐values ‐ *p ≤ 0.05, **p ≤ 0.01, ***p ≤ 0.001, ****p ≤ 0.0001; two‐way ANOVA with post hoc Bonferroni correction. Values shown are mean ± SEM. (n = 5 mice/group).
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first stiefel-whitney class (mod 2 euler class)  (Stiefel)
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Stiefel first stiefel-whitney class (mod 2 euler class)
Early alterations in nociceptive markers in Ppt1 −/− mouse spinal cords. Immunostaining for (A) Substance‐P <t>(SubP)</t> and (B) calcitonin gene‐related peptide (CGRP) reveal age‐related changes in these markers in the dorsal horn of Ppt1 −/− mice. Representative images of dorsal horns of spinal cords reveal an increase in SubP immunoreactivity in laminae I‐II at 2 months and increased CGRP immunoreactivity in laminae I‐II beginning at 2 months as measured by image densitometry (average pixel luminance). Measures of area of immunoreactivity (µm 2 ) confirmed a greater area of CGRP immunoreactivity at 1 month in Ppt1 −/− mice across all time points as compared to WT (wild‐type) mice. Thresholding image analysis of positively stained fibres in laminae III‐IV of CGRP‐stained tissue showed a consistent increased in values in Ppt1 −/− mice across all time points as compared to WT mice. Scale bars = 200µm. P‐values ‐ *p ≤ 0.05, **p ≤ 0.01, ***p ≤ 0.001, ****p ≤ 0.0001; two‐way ANOVA with post hoc Bonferroni correction. Values shown are mean ± SEM. (n = 5 mice/group).
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dynamics of fg microbeams  (Nonlinear Dynamics)
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Early alterations in nociceptive markers in Ppt1 −/− mouse spinal cords. Immunostaining for (A) Substance‐P <t>(SubP)</t> and (B) calcitonin gene‐related peptide (CGRP) reveal age‐related changes in these markers in the dorsal horn of Ppt1 −/− mice. Representative images of dorsal horns of spinal cords reveal an increase in SubP immunoreactivity in laminae I‐II at 2 months and increased CGRP immunoreactivity in laminae I‐II beginning at 2 months as measured by image densitometry (average pixel luminance). Measures of area of immunoreactivity (µm 2 ) confirmed a greater area of CGRP immunoreactivity at 1 month in Ppt1 −/− mice across all time points as compared to WT (wild‐type) mice. Thresholding image analysis of positively stained fibres in laminae III‐IV of CGRP‐stained tissue showed a consistent increased in values in Ppt1 −/− mice across all time points as compared to WT mice. Scale bars = 200µm. P‐values ‐ *p ≤ 0.05, **p ≤ 0.01, ***p ≤ 0.001, ****p ≤ 0.0001; two‐way ANOVA with post hoc Bonferroni correction. Values shown are mean ± SEM. (n = 5 mice/group).
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Image Search Results


Early alterations in nociceptive markers in Ppt1 −/− mouse spinal cords. Immunostaining for (A) Substance‐P (SubP) and (B) calcitonin gene‐related peptide (CGRP) reveal age‐related changes in these markers in the dorsal horn of Ppt1 −/− mice. Representative images of dorsal horns of spinal cords reveal an increase in SubP immunoreactivity in laminae I‐II at 2 months and increased CGRP immunoreactivity in laminae I‐II beginning at 2 months as measured by image densitometry (average pixel luminance). Measures of area of immunoreactivity (µm 2 ) confirmed a greater area of CGRP immunoreactivity at 1 month in Ppt1 −/− mice across all time points as compared to WT (wild‐type) mice. Thresholding image analysis of positively stained fibres in laminae III‐IV of CGRP‐stained tissue showed a consistent increased in values in Ppt1 −/− mice across all time points as compared to WT mice. Scale bars = 200µm. P‐values ‐ *p ≤ 0.05, **p ≤ 0.01, ***p ≤ 0.001, ****p ≤ 0.0001; two‐way ANOVA with post hoc Bonferroni correction. Values shown are mean ± SEM. (n = 5 mice/group).

Journal: Neuropathology and Applied Neurobiology

Article Title: Spinal manifestations of CLN1 disease start during the early postnatal period

doi: 10.1111/nan.12658

Figure Lengend Snippet: Early alterations in nociceptive markers in Ppt1 −/− mouse spinal cords. Immunostaining for (A) Substance‐P (SubP) and (B) calcitonin gene‐related peptide (CGRP) reveal age‐related changes in these markers in the dorsal horn of Ppt1 −/− mice. Representative images of dorsal horns of spinal cords reveal an increase in SubP immunoreactivity in laminae I‐II at 2 months and increased CGRP immunoreactivity in laminae I‐II beginning at 2 months as measured by image densitometry (average pixel luminance). Measures of area of immunoreactivity (µm 2 ) confirmed a greater area of CGRP immunoreactivity at 1 month in Ppt1 −/− mice across all time points as compared to WT (wild‐type) mice. Thresholding image analysis of positively stained fibres in laminae III‐IV of CGRP‐stained tissue showed a consistent increased in values in Ppt1 −/− mice across all time points as compared to WT mice. Scale bars = 200µm. P‐values ‐ *p ≤ 0.05, **p ≤ 0.01, ***p ≤ 0.001, ****p ≤ 0.0001; two‐way ANOVA with post hoc Bonferroni correction. Values shown are mean ± SEM. (n = 5 mice/group).

Article Snippet: A one in forty‐eight series of 40μm coronal spinal cord sections from each mouse were stained on slides using a modified immunofluorescence protocol for the following antibodies: rabbit anti‐calbindin, 1:500, rabbit anti‐calretinin, 1:500 and rabbit anti‐parvalbumin 1:500, Swant, goat anti‐choline acetyl transferase (ChAT), 1:50, Chemicon, rabbit anti‐calcitonin gene‐related peptide (CGRP), 1:200, Enzo life sciences, rabbit anti‐substance‐P (SubP), 1:200, Chemicon, rat anti‐CD4,1:100, Bio‐Rad, rat anti‐CD8, 1:100, Bio‐Rad, rabbit anti‐GFAP, 1:1000, DAKO, rat anti‐mouse CD68, 1:400, Bio‐Rad, rabbit anti‐Olig2, 1:200, GeneTex, rabbit anti‐NG2 chondroitin sulphate proteoglycan (NG2), 1:200, Chemicon and rat anti‐MBP, 1:500, Merck Millipore (Data ).

Techniques: Immunostaining, Staining