Modelling of the Blood Flow Circulation in the Human Foetus by the End of the Third Week of Gestation

Cardiovascular Engineering: An International Journal - Tập 5 - Trang 29-35 - 2005
Christos G. Manopoulos1,2, Sokrates Tsangaris1
1Laboratory of Biofluidmechanics and Biomedical Engineering, Fluid Section, School of Mechanical Engineering, National Technical University of Athens, Greece
2Athens

Tóm tắt

Pumping blood in one direction is the main function of the heart, which is equipped with valves that ensure unidirectional flow. During early embryonic life, blood circulates in one direction through the primitive circulatory system, in spite of the complete lack of valves. A mathematical model has been developed in order to describe the coordinated fashion of the blood circulation in the circulatory system of the embryo. The blood flow is considered as one-dimensional, employing the momentum and continuity equations. Also a constitutive state equation is used relating pressure and circuit lumen. The one-dimensional model is analysed numerically and solved with a dispersion-relation-preserving (DRP) scheme of finite difference, which is of fourth order accurate. The size of the mean flow depends on the embryonic heart rate and the contraction grade of primordial heart tube. Three functions in time and space are calculated, the cross section area of the lumen, the building up internal pressure and the velocity of the blood inside the circuit. The pumping activity of the embryo circulatory system is shown by presentation of the mean flow-rate of the blood as a function of embryonic heart rate for several contraction grades of primordial heart tube.

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Cardiovascular Engineering: An International Journal

Tập 5

29-35

Thông tin tác giả