Separation of arterial pressure into solitary waves and windkessel flow

Taous Meriem Laleg*, Emmanuelle Crépeau, Michel Sorine

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations


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 describes the fast propagation phenomena predominating during the systolic phase and a windkessel flow 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.

Original languageEnglish (US)
Title of host publication6th IFAC Symposium on Modeling and Control in Biomedical Systems, MCBMS 2006
PublisherIFAC Secretariat
Number of pages6
EditionPART 1
ISBN (Print)9783902661180
StatePublished - 2006

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
ISSN (Print)1474-6670


  • Identifiability
  • Linear theory
  • Nonlinear theory
  • Pressure
  • Wave

ASJC Scopus subject areas

  • Control and Systems Engineering


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