Gl. Gebber et al., BISPECTRAL ANALYSIS OF COMPLEX PATTERNS OF SYMPATHETIC-NERVE DISCHARGE, American journal of physiology. Regulatory, integrative and comparative physiology, 40(5), 1996, pp. 1173-1185
Bispectral analysis was used to demonstrate quadratic nonlinear coupli
ng (i.e., phase locking) of different frequency components in inferior
cardiac sympathetic nerve discharge (SND) of urethan-anesthetized cat
s. The complex patterns of SND analyzed included mixtures of 1) the ca
rdiac-related and 10-Hz rhythms, 2) the 10-Hz rhythm and irregular 2-
to 6-Hz oscillations, and 3) the 10-Hz rhythm and a lower frequency no
n-cardiac-related rhythm near 4 Hz. In some cases, the bicoherence fun
ction (normalized bispectrum) showed no phase locking of these frequen
cy components. Cases of nil bicoherence are equated with linear superp
osition of frequency components, which implies the existence of multip
le and noninteractive central circuits. Increased complexity of SND wa
s observed in other cases, as evidenced by significant phase locking o
f different frequency components with or without frequency locking. Fr
equency locking (higher frequency rhythm is a multiple of lower) was c
onfirmed by constructing Lissajous orbital plots showing covariation o
f voltages in selectively filtered bands of SND. We equate frequency l
ocking with nonlinear coupling of the central generators of different
sympathetic nerve rhythms and phase locking without frequency locking
possibly with nonlinearities arising at levels below noncoupled centra
l rhythm generators.