Modelling of laminated growing biological materials
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Дата
2003
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Анотація
Wave propagation and reflection in the model of branching tree of viscoelastic
cylindrical tubes filled with viscous fluid is considered when applied to pulse wave
reflection in arterial networks. The dichotomous branching tree and the tree with two
anastomoses between the second-order tubes are investigated. Influence of the geometrical
and mechanical properties of the tree on the pulse wave propagation and
spectral properties of the total admittance of the systems are investigated. It was found
out that the admittance has a set of resonant harmonics. Any changes in parameters of
microcirculatory bed and in blood rheology cause noticeable alterations of the amplitudes
of resonant harmonics and negligible alterations of other harmonics. The set of
resonant harmonics is independent of some variations in the tree geometry. The resonant
properties of the models with and without anastomoses have some differences,
that makes it possible to carry out the diagnosis of the state of inner organs with
different types of vasculature. The results substantiate a possibility of the pulse diagnosis
of inner organs’ states by observing the amplitudes of the resonant harmonics
only, without preliminary knowledge of individual structure of the real vascular bed
of an inner organ.
Опис
Ключові слова
pulse wave reflections, cardiovascular system, pulse diagnosis, branching
Бібліографічний опис
Journal of the Chinese Institute of Engineers, Vol. 26, No. 6.