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Use of intrinsic modes in biology: Examples of indicial response of pulmonary blood pressure to ± step hypoxia

Huang, Wei and Shen, Zheng and Huang, Norden E. and Fung, Yuan Cheng (1998) 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 States of America, 95 (22). pp. 12766-12771. ISSN 0027-8424. PMCID PMC3773776. https://resolver.caltech.edu/CaltechAUTHORS:20141202-111825948

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1073/pnas.95.22.12766DOIArticle
http://www.pnas.org/content/95/22/12766PublisherArticle
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3773776/PubMed CentralArticle
Additional Information:© 1998 The National Academy of Sciences. Accepted August 31, 1998. This work was supported by the National Heart, Lung, and Blood Institute of the National Institutes of Health, Grant HL 43026; the American Heart Association, California Affiliate, Postdoctoral Fellowship 96–95 (to W.H.); the National Science Foundation Grant CM-9615897, the National Aeronautics and Space Administration Grant NAG5-5149 (to Z.S.); and the National Aeronautics and Space Administration Grant RTOP 622-47-11-20 (to N.E.H.).
Funders:
Funding AgencyGrant Number
NIHHL 43026
American Heart AssociationUNSPECIFIED
NSFCM-9615897
NASANAG5-5149
NASARTOP 622-47-11-20
Issue or Number:22
PubMed Central ID:PMC3773776
Record Number:CaltechAUTHORS:20141202-111825948
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141202-111825948
Official Citation:Huang, W., Shen, Z., Huang, N. E., & Fung, Y. C. (1998). Use of intrinsic modes in biology: Examples of indicial response of pulmonary blood pressure to ± step hypoxia. Proceedings of the National Academy of Sciences, 95(22), 12766-12771. doi: 10.1073/pnas.95.22.12766
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52268
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:02 Dec 2014 22:36
Last Modified:03 Oct 2019 07:40

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