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a Chapter 4 Spectral Doppler Sonography: Waveform Analysis and Hemodynamic Interpretation 49<br />

elasticity. Any discontinuity or change in these<br />

properties gives rise to reflections of pressure and<br />

flow waves.<br />

3. Reflection coefficient expresses the magnitude of<br />

the phenomenon of wave reflection in an arterial<br />

tree.<br />

These well-established hemodynamic concepts provide<br />

the bases for hemodynamic interpretation of<br />

fetal Doppler waveforms in various physiologic and<br />

pathologic states. As the arterial Doppler wave represents<br />

the arterial flow velocity wave, it is apparent<br />

that down-stream impedance and wave reflection are<br />

among the principal modulators of the waveform and<br />

therefore of the descriptor indices. As gestation progresses,<br />

umbilical arterial Doppler waveforms demonstrate<br />

a continuing increase in the end-diastolic frequency<br />

shifts (see Fig. 10.5), which is attributable to<br />

a progressive decline in fetoplacental vascular impedance.<br />

The latter is necessarily associated with diminished<br />

wave reflections, although it has not been feasible<br />

to study the phenomenon directly.<br />

Doppler Indices and Peripheral Resistance<br />

Investigations in this field were aimed at establishing a<br />

hemodynamic foundation for the Doppler indices in<br />

terms of peripheral vascular resistance. In vitro and<br />

in vivo models were used. The experimental approach<br />

essentially consisted of increasing the circulatory resistance<br />

and analyzing the changes in the indices.<br />

Spencer and coinvestigators [36] used an in vitro<br />

flow model to validate the Doppler indices in terms<br />

of peripheral resistance (mean pressure/mean flow).<br />

The flow was reduced in a stepwise fashion using a<br />

clamp. The decline in flow led to increases in RI, PI,<br />

and S/D ratio. The pressure and pressure waveform<br />

remained unchanged. The authors noted that rises in<br />

the Doppler indices reflected an increasing peripheral<br />

resistance; the RI and PI had a mostly linear increase,<br />

whereas the S/D ratio demonstrated an exponential<br />

increase. Maulik and colleagues [37] investigated the<br />

relation between the various umbilical arterial Doppler<br />

indices and umbilical arterial resistance in fetal<br />

lambs. The hemodynamic perturbation was induced<br />

by mechanical constriction of the umbilical artery,<br />

which resulted in declines in flow by 74%±89% and<br />

increases in pressure by 8%±23%. The correlation between<br />

the Doppler indices and the hemodynamic parameters<br />

is shown in Table 4.1, which indicates that<br />

with a well-defined obstruction to the downstream<br />

flow the indices correlate highly with the downstream<br />

hemodynamic parameters, including the peripheral<br />

resistance (p

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