S. Bignall et al., USE OF THE FREQUENCY-TRACKING LOCUS IN ESTIMATING THE DEGREE OF RESPIRATORY ENTRAINMENT IN PRETERM INFANTS, Physiological measurement, 14(4), 1993, pp. 441-454
In order to define the complex interactions between external stimuli a
nd non-linear physiological systems, a technique (the frequency-tracki
ng locus, FTL) was devised that describes the cycle-by-cycle changes i
n phase angle and amplitude between two signals. Qualitative assessmen
t of the nature of interactions between the signals can be made by exa
mining the FTL. Quantitation of the extent of entrainment of the spont
aneous physiological rhythm is possible after deriving a numerical ind
ex (the path-length index, PLI) describing the departure of the system
from a fully entrained state. The FTL was applied to the study of int
eractions between spontaneous respiratory effort and mechanical inflat
ion in preterm newborn babies undergoing mechanical ventilation. Stabl
e and unstable states of 1:1 interaction were noted while integer-rati
o relationships were seen at low rates of mechanical ventilation. Stab
le states of entrainment corresponded to a PLI value near unity, and t
he value of PLI increased rapidly as interactions became unstable. The
FTL may be used to describe complex interactions in physiological sys
tems, and may be used as a guide to baby-ventilator matching during me
chanical ventilation of the newborn.