A simplified model of arterial blood pressure intended for use in model-based signal processing applications is presented. The main idea is to decompose the pressure into two components: a travelling wave which describes the fast propagation phenomena predominating during the systolic phase and a windkessel flow that represents the slow phenomena during the diastolic phase. Instead of decomposing the blood pressure pulse into a linear superposition of forward and backward harmonic waves, as in the linear wave theory, a nonlinear superposition of travelling waves matched to a reduced physical model of the pressure, is proposed. Very satisfactory experimental results are obtained by using forward waves, the N-soliton solutions of a Korteweg-de Vries equation in conjunction with a two-element windkessel model. The parameter identifiability in the practically important 3-soliton case is also studied. The proposed approach is briefly compared with the linear one and its possible clinical relevance is discussed.
%0 Journal Article
%1 laleg:2007mz
%A Laleg, Taous-Meriem
%A Crepeau, Emmanuelle
%A Sorine, Michel
%D 2007
%J Biomedical Signal Processing and Control
%K Arterial Solitons; Windkessel blood mode pressure;
%N 3
%P 163--170
%T Separation of arterial pressure into a nonlinear superposition of solitary waves and a windkessel flow
%V 2
%X A simplified model of arterial blood pressure intended for use in model-based signal processing applications is presented. The main idea is to decompose the pressure into two components: a travelling wave which describes the fast propagation phenomena predominating during the systolic phase and a windkessel flow that represents the slow phenomena during the diastolic phase. Instead of decomposing the blood pressure pulse into a linear superposition of forward and backward harmonic waves, as in the linear wave theory, a nonlinear superposition of travelling waves matched to a reduced physical model of the pressure, is proposed. Very satisfactory experimental results are obtained by using forward waves, the N-soliton solutions of a Korteweg-de Vries equation in conjunction with a two-element windkessel model. The parameter identifiability in the practically important 3-soliton case is also studied. The proposed approach is briefly compared with the linear one and its possible clinical relevance is discussed.
@article{laleg:2007mz,
abstract = { A simplified model of arterial blood pressure intended for use in model-based signal processing applications is presented. The main idea is to decompose the pressure into two components: a travelling wave which describes the fast propagation phenomena predominating during the systolic phase and a windkessel flow that represents the slow phenomena during the diastolic phase. Instead of decomposing the blood pressure pulse into a linear superposition of forward and backward harmonic waves, as in the linear wave theory, a nonlinear superposition of travelling waves matched to a reduced physical model of the pressure, is proposed. Very satisfactory experimental results are obtained by using forward waves, the N-soliton solutions of a Korteweg-de Vries equation in conjunction with a two-element windkessel model. The parameter identifiability in the practically important 3-soliton case is also studied. The proposed approach is briefly compared with the linear one and its possible clinical relevance is discussed.},
added-at = {2013-11-08T00:45:00.000+0100},
author = {Laleg, Taous-Meriem and Crepeau, Emmanuelle and Sorine, Michel},
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biburl = {https://www.bibsonomy.org/bibtex/2da4a220b5f10fcd04e93f7ece3be993d/andresgm},
date-modified = {2011-07-22 23:02:14 +0000},
interhash = {5bd216feca42c7b7efc2c0f12833b2db},
intrahash = {da4a220b5f10fcd04e93f7ece3be993d},
journal = {Biomedical Signal Processing and Control},
keywords = {Arterial Solitons; Windkessel blood mode pressure;},
number = 3,
pages = {163--170},
timestamp = {2013-11-08T00:45:00.000+0100},
title = {Separation of arterial pressure into a nonlinear superposition of solitary waves and a windkessel flow},
volume = 2,
year = 2007
}