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Abstracts - KTH Mechanics

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12<br />

Haemodynamics of the embryonic chicken heart.<br />

P. Vennemann ∗ ,R.Lindken ∗ and J. Westerweel ∗<br />

To answer the question whether cardiogenesis is regulated through fluid forces,<br />

detailed knowledge about the velocity distribution in the embryonic heart is required.<br />

The derived wall shear stress distribution can be compared to gene expression patterns<br />

to draw conclusions. Micro Particle Image Velocimetry (µPIV) quantitatively<br />

resolves the instantaneous velocity distribution in vivo. A special polymer coating<br />

makes the fluorescent tracer particles bio-inert. The measurement allows the determination<br />

of the velocity gradient close to the wall. Figure 1 shows the blood velocity<br />

distribution in the central plane of the developing ventricle of a chicken embryo after<br />

three days of incubation. The location of the measurement plane is indicated in the<br />

scanning electron micrograph from Männer 1 . The eccentricity of the flow profile can<br />

be explained by the curvature of the primitive heart tube. Closely following Deans<br />

calculation for a curved tube 2 the velocity peak position is found to be shifted into<br />

the direction of the inner curvature wall for low Reynolds numbers (Figure 1, insets<br />

a and b). Secondary flow is negligibly small (Figure 1, inset c).<br />

∗ Lab. for Aero- and Hydrodynamics, Delft Technical University, The Netherlands.<br />

1 J. Männer, Anat. Rec. 259:248-262 (2000).<br />

2 W.R.Dean,Phil. Mag. Ser. 7 4(20):673-695 (1928).<br />

Figure 1: Particle Image Velocimetry in the embryonic chicken heart. Inset a: theoretical,<br />

axial velocity profile for a curved tube in the plane of coil curvature (r is negative<br />

in the direction of the coil center). Inset b: theoretical, radial velocity peak position<br />

in the plane of coil curvature at varying Reynolds numbers (Rtube/Rcoil = 1/2). Inset<br />

c: theoretical, secondary velocity profile in radial direction.

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