Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4496730 | Journal of Theoretical Biology | 2012 | 5 Pages |
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%.
Graphical abstractFigure optionsDownload full-size imageDownload as PowerPoint slideHighlights► Closed-form model for intravascular tracer washout that also describes the power-law tail. ► Rabbit heart and rat liver data. ► Intra-organ flow distribution determines power-law decay exponent.