The pulmonary venous systolic flow wave has been attributed both to left he
art phenomena, such as left atrial relaxation and descent of the mitral ann
ulus, and to propagation of the pulmonary artery pressure pulse through the
pulmonary bed from the right ventricle. In this study we hypothesized that
all waves in the pulmonary veins originate in the left heart, and that the
gross wave features observed in measurements can be explained simply by wa
ve propagation and reflection. A mathematical model of the pulmonary vein w
as developed; the pulmonary vein was modeled as a lossless transmission lin
e and the pulmonary bed by a three-element lumped parameter model accountin
g for viscous losses, compliance, and inertia. We assumed that all pulsatio
ns originate in the left atrium (LA), the pressure in the pulmonary bed bei
ng constant. The model was validated using pulmonary vein pressure and flow
recorded 1 cm proximal to the junction of the vein with the left atrium du
ring aortocoronary bypass surgery. For a pressure drop of 6 mmHg across the
pulmonary bed, we found a transit time from the left atrium to the pulmona
ry bed of tau approximate to 150ms, a compliance of the pulmonary bed of C
approximate to 0.4 ml/mmHg, and an inertance of the pulmonary bed of 1.1 mm
Hg s(2)/ml. The pulse wave velocity of the pulmonary vein was estimated to
be c approximate to 1 m/s. Waves, however, travel both towards the left atr
ium and towards the pulmonary bed. Waves traveling towards the left atrium
are attributed to the reflections caused by the mismatch of impedance of li
ne (pulmonary vein) and load (pulmonary bed). Wave intensity analysis was u
sed to identify a period in systole of net wave propagation towards the lef
t atrium for both measurements and model. The linear separation technique w
as used to split the pressure into one component traveling from the left at
rium to the pulmonary bed and a reflected component propagating from the pu
lmonary bed to the left atrium. The peak of the reflected pressure wave cor
responded well with the positive peak in wave intensity in systole. We conc
lude that the gross features of the pressure and flow waves in the pulmonar
y vein can be explained in the following manner: the waves originate in the
LA and travel towards the pulmonary bed, where reflections give rise to wa
ves traveling back to the LA. Although the gross features of the measured p
ressure were captured well by the model predicted pressure, there was still
some discrepancy between the two. Thus, other factors initiating or influe
ncing waves traveling towards the LA cannot be excluded.