Computational Approach to Optimal Transport
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Дата
2004
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Анотація
Long-distance liquid transport in biosystems is provided by special
branching systems of tubes (arteries, veins, plant vessels). Geometry of the systems
possesses similar patterns and can be investigated by computer methods of
pattern recognition. Here some results on plant leaf venation investigation are
presented. The lengths, diameters and branching angles are estimated for the
leaves of different shape, size and venation type. The statistical distributions of
the measured parameters are similar to the corresponding ones which have been
obtained for arterial beds. The both correspond to the model of optimal
branching pipeline which provide liquid delivering at minimum total energy
consumptions. The biomechanical model of liquid motion in a system consisting
of a long thin tube with permeable walls which is embedded into a biological
porous medium is considered. The pressure distributions and velocity fields
for different geometry of the system are obtained. The main result is when the
delivering liquid is completely absorbed by the alive cells in the porous medium
the relation between the diameter and the length of the tube and the total volume
of the medium which correspond to the measured data is reached.
Опис
Ключові слова
Transport of liquids in biosystems, arterial beds
Бібліографічний опис
Lecture Notes in Computer Science. Vol.3044