S. Haruyama et al., ELECTRICAL ANALOGY OF DIASTOLIC PRESSURE DIFFERENCE BETWEEN LEFT ATRIUM AND VENTRICLE, Medical & biological engineering & computing, 32(4), 1994, pp. 190000091-190000098
We proposed a mathematical model to describe the early filling process
of the left ventricle and applied the model to in vivo experiments. T
he solution of a second-order differential equation indicated that the
pressure difference between the left atrium and ventricle during vent
ricular filling (PD) could be explained by a transient response, i.e.
decremental oscillation, in an LCR circuit. Thereafter, we analysed th
e sequence of PD during vagal stimulation with two catheter-tip manome
ters in 12 anaesthetised dogs and evaluated changes in the parameters
of the system under various haemodynamic conditions. The values of ome
ga(n) and xi were quite stable among beats within an episode of vagal
stimulation, between episodes and even among dogs, despite the changes
in haemodynamic variables. Pericardiotomy and partial discommunicatio
n of the mitral valve with the left ventricular free wall by cutting t
he mitral chordal tendons decreased omega(n) and increased xi, mainly
because of the increase in C-LV. Occlusion of the coronary vascular be
ds with large numbers of microspheres increased omega(n) and decreased
xi, mainly because of the decrease in C-LV. Mitral obstruction with a
n inflated balloon (increase in R) abolished the oscillatory changes a
nd produced an exponential decay sequence of PD. In conclusion, both t
he logical and experimental approaches indicated that the sequence of
PD could be considered as decremental oscillation in the LCR circuit a
nd the parameters omega(n) and xi could be good indices of the diastol
ic property of the left ventricle.