Fast estimation of arterial vascular parameters for transient and steady beats with application to hemodynamic state under variant gravitational conditions
S. Essler et al., Fast estimation of arterial vascular parameters for transient and steady beats with application to hemodynamic state under variant gravitational conditions, ANN BIOMED, 27(4), 1999, pp. 486-497
Numerous parameter estimation techniques exist for characterizing the arter
ial system using electrical circuit analogs. These techniques are often lim
ited by requiring steady-state beat conditions and can be computationally e
xpensive. Therefore, a new method was developed to estimate arterial parame
ters during steady and transient beat conditions. A four-element electrical
analog-circuit was used to model the arterial system. The input impedance
equations for this model were derived and reduced to their real and imagina
ry components. Next, the physiological input impedance was calculated by co
mputing fast Fourier transforms of physiological aortic pressure (AoP) and
aortic flow. The approach was to reduce the error between the calculated mo
del impedance and the physiological arterial impedance using a Jacobian mat
rix technique which iteratively adjusted arterial parameter values. This te
chnique also included algorithms for estimating physiological arterial para
meters for nonsteady physiological AoP beats. The method was insensitive to
initial parameter estimates and to small errors in the physiological imped
ance coefficients. When the estimation technique was applied to in vivo dat
a containing steady and transient beats it reliably estimated Windkessel ar
terial parameters under a wide range of physiological conditions. Further,
this method appears to be more computationally efficient compared to time-d
omain approaches. (C) 1999 Biomedical Engineering Society. [S0090-6964(99)0
1404-6].