TY - JOUR
T1 - Use of intrinsic modes in biology
T2 - Examples of indicial response of pulmonary blood pressure to ± step hypoxia
AU - Huang, Wei
AU - Shen, Zheng
AU - Huang, Norden E.
AU - Fung, Yuan Cheng
PY - 1998/10/27
Y1 - 1998/10/27
N2 - Recently, a new method to analyze biological nonstationary stochastic variables has been presented. The method is especially suitable to analyze the variation of one biological variable with respect to changes of another variable. Here, it is illustrated by the change of the pulmonary blood pressure in response to a step change of oxygen concentration in the gas that an animal breathes. The pressure signal is resolved 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. Correspondingly, the oscillatory content of the signal about any mean trend can be represented by a set of partial sums of intrinsic mode functions. When the concept of 'indicial response function' is used to describe the change of one variable in response to a step change of another variable, we now have a set of indicial response functions of the mean trends and another set of indicial response functions to describe 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.
AB - Recently, a new method to analyze biological nonstationary stochastic variables has been presented. The method is especially suitable to analyze the variation of one biological variable with respect to changes of another variable. Here, it is illustrated by the change of the pulmonary blood pressure in response to a step change of oxygen concentration in the gas that an animal breathes. The pressure signal is resolved 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. Correspondingly, the oscillatory content of the signal about any mean trend can be represented by a set of partial sums of intrinsic mode functions. When the concept of 'indicial response function' is used to describe the change of one variable in response to a step change of another variable, we now have a set of indicial response functions of the mean trends and another set of indicial response functions to describe 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.
KW - Fourier spectrum
KW - Hilbert spectrum
KW - Nonlinear oscillations
KW - Nonstationary
KW - Stochastic process
UR - http://www.scopus.com/inward/record.url?scp=0032573206&partnerID=8YFLogxK
U2 - 10.1073/pnas.95.22.12766
DO - 10.1073/pnas.95.22.12766
M3 - 期刊論文
C2 - 9788987
AN - SCOPUS:0032573206
SN - 0027-8424
VL - 95
SP - 12766
EP - 12771
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
IS - 22
ER -