On the fractality of the biological tree-like structures

Autor:	Jaan Kalda
Jazyk:	angličtina
Rok vydání:	1999
Předmět:	Fractals Blood-vessels Tree-like structures Similarity dimension Advective diffusion. Mathematics QA1-939
Zdroj:	Discrete Dynamics in Nature and Society, Vol 3, Iss 4, Pp 297-306 (1999)
Druh dokumentu:	article
ISSN:	1026-0226 1607-887X 10260226
DOI:	10.1155/S102602269900031X
Popis:	The fractal tree-like structures can be divided into three classes, according to the value of the similarity dimension Ds:DsD, where D is the topological dimension of the embedding space. It is argued that most of the physiological tree-like structures have Ds≥D. The notion of the self-overlapping exponent is introduced to characterise the trees with Ds>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 Ds=3.4. The model is used to analyse the transport of passive component by blood.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/903fe5691f4e461d9118f6cafb91a085 Zobrazit plný text záznamu Plný text View record in DOAJ