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Fig. 7 | Fluids and Barriers of the CNS

Fig. 7

From: Uncertainty quantification of parenchymal tracer distribution using random diffusion and convective velocity fields

Fig. 7

Uncertainty quantification for Model D1. The integrated amount of tracer in the a gray matter \(Q_g\) and b white matter \(Q_w\) over time; \(Q_g\) and \(Q_w\) as defined by (13). The blue curves show the expected value. The light blue vertical bars indicate the variability: 99.73% of the samples fall within the plotted range (with 0.135% of the samples above and 0.135% below). c The probability density functions (PDFs) corresponding to \(Q_g\) at 3, 5, 8 and 24 h after tracer injection. d Histogram of white matter activation time \(F_w\) as defined by (15) (bars), corresponding estimated PDF (orange curve), and corresponding cumulative density function (CDF). Uncertainty in the magnitude of the effective diffusion coefficients substantially impact the amount of tracer found in the gray and white matter and the white matter activation time

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