MINIMUM ENERGY DISSIPATION AND FRACTAL STRUCTURES OF VASCULAR SYSTEMS
Keyword(s):
A two dimensional minimum energy dissipation rate model has been used to study the structure of vascular networks. The geometry of the resulting minimum energy dissipation rate vascular system (MEDVS) has been studied. The structures of MEDVS networks are self-similar and have a fractal dimension of 2 on long length scales with a crossover to a fractal dimension of 1 on short length scales. A power-law distribution of link energy dissipation rates was found. The MEDVS networks have also been studied in terms of their transport properties.
1996 ◽
Vol 36
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pp. 509-514
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2016 ◽
Vol 2016
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pp. 1-10
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2016 ◽
Vol 31
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pp. 16-24
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1983 ◽
Vol 109
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pp. 801-801
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1983 ◽
Vol 109
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pp. 795-798
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2020 ◽
Vol 27
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pp. 175-185
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1983 ◽
Vol 109
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pp. 798-801
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