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  • Title: A model for transit time distributions through organs that accounts for fractal heterogeneity.
    Author: Weiss M.
    Journal: J Theor Biol; 2012 May 21; 301():57-61. PubMed ID: 22586724.
    Abstract:
    It has been shown that density functions of organ transit time distributions of vascular markers (washout curves) are characterized by a power-law tail, reflecting the fractal nature of the vascular network. Yet, thus far, no closed-form model is available that can be fitted to such organ outflow data. Here we propose a model that accounts for the existing data. The model is a continuous mixture of inverse Gaussian densities, implying flow heterogeneity in the organ. It has been fitted to outflow data from the rabbit heart and rat liver. The power-law decay with exponent -3 observed in the heart, corresponds to an intra-organ flow distribution with a relative dispersion of about 35%.
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