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On the fractality of the biological tree-like structures

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  • Jaan Kalda

Abstract

The fractal tree-like structures can be divided into three classes, according to the value of the similarity dimension D s : D s < D , D s = D and D s > D , where D is the topological dimension of the embedding space. It is argued that most of the physiological tree-like structures have D s ≥ D . The notion of the self-overlapping exponent is introduced to characterise the trees with D s > D . A model of the human blood-vessel system is proposed. The model is consistent with the processes governing the growth of the blood-vessels and yields D s = 3.4 . The model is used to analyse the transport of passive component by blood.

Suggested Citation

  • Jaan Kalda, 1999. "On the fractality of the biological tree-like structures," Discrete Dynamics in Nature and Society, Hindawi, vol. 3, pages 1-10, January.
    • Handle: RePEc:hin:jnddns:342549
    DOI: 10.1155/S102602269900031X
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