W. Huang et al., USE OF INTRINSIC MODES IN BIOLOGY - EXAMPLES OF INDICIAL RESPONSE OF PULMONARY BLOOD-PRESSURE TO + - STEP HYPOXIA/, Proceedings of the National Academy of Sciences of the United Statesof America, 95(22), 1998, pp. 12766-12771
Recently, a new method to analyze biological nonstationary stochastic
variables has been presented. The method is especially suitable to ana
lyze the variation of one biological variable with respect to changes
of another variable. Here, it is illustrated by the change of the pulm
onary blood pressure in response to a step change of oxygen concentrat
ion in the gas that an animal breathes, The pressure signal is resolve
d into the sum of a set of oscillatory intrinsic mode functions, which
have zero ''local mean,'' and a final nonoscillatory mode. With this
device, we obtain a set of ''mean trends,'' each of which represents a
''mean'' in a definitive sense, and together they represent the mean
trend systematically with different degrees of oscillatory content. Co
rrespondingly, the oscillatory content of the signal about any mean tr
end can be represented by a set of partial sums of intrinsic mode func
tions, When the concept of ''indicial response function'' is used to d
escribe the change of one variable in response to a step change of ano
ther variable, we now have a set of indicial response functions of the
mean trends and another set of indicial response functions to describ
e the energy or intensity of oscillations about each mean trend. Each
of these can be represented by an analytic function whose coefficients
can be determined by a least-squares curve-fitting procedure. In this
way, experimental results are stated sharply by analytic functions.