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Three-dimensional image analysis and fractal characterization of kidney arterial vessels

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  • Sernetz, M.
  • Wübbeke, J.
  • Wlczek, P.

Abstract

Three-dimensional data sets of kidney arterial vessels obtained from resin casts by serial sectioning and by Micro-NMR-CT, have been analyzed by the mass-radius analysis for the scaling of mass and surface. For the mass we find a DF≈2.2 in the resolution range between 1 to 10 nm and for the surface about DF≈2.0 below 3 mm and scaling exponent up to DF≈2.5 at 10 mm resolution. 3D modelling of vessel systems is achieved by recursive application of growth and branching generators. From these models both morphological and dynamical parameters of fractal transport systems can be derived and used for the interpretation of scaling and allometry of metabolic rates in organisms. Examples of fractal organization in biology are also demonstrated in mycelial growth patterns and in porous gel structures in the molecular range.

Suggested Citation

  • Sernetz, M. & Wübbeke, J. & Wlczek, P., 1992. "Three-dimensional image analysis and fractal characterization of kidney arterial vessels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 13-16.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:13-16
    DOI: 10.1016/0378-4371(92)90498-F
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    1. Ganz Manfred Ernst & Starbatty Joachim & Oberhauser Alois & Oberender Peter & Arnold Peter & Tolksdorf Michael & Hofmann Hans-Joachim & Wied-Nebbeling Susanne & Kromphardt J. & Stöttner Rainer, 1985. "Einzelbesprechungen Peter Arnold," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 200(6), pages 658-680, June.
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    1. Jinxiang Xi & Weizhong Zhao & Jiayao Eddie Yuan & JongWon Kim & Xiuhua Si & Xiaowei Xu, 2015. "Detecting Lung Diseases from Exhaled Aerosols: Non-Invasive Lung Diagnosis Using Fractal Analysis and SVM Classification," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-19, September.

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