Fractal dimensions and multifractility in vascular branching.

摘要: A definition for the fractal dimension of a vascular tree is proposed based on hemodynamic function and in terms two key branching parameters: asymmetry ratio arterial bifurcations power law exponent governing relation between vessel diameter flow. Data from cardiovascular system, which generally exhibit considerable scatter values these parameters, are found to produce same degree value dimension. When this explored multifractal pattern, however, it that required collapse onto single curve achieved coarse Holder exponent. Thus, presence multifractility confirmed, legitimacy defined affirmed sense theoretical Hausdorff limit as much can be reached with experimental data.