Separation of arterial pressure into a nonlinear superposition of solitary waves and a windkessel flow

Taous Meriem Laleg*, Emmanuelle Crépeau, Michel Sorine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 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 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.

Original languageEnglish (US)
Pages (from-to)163-170
Number of pages8
JournalBiomedical Signal Processing and Control
Issue number3
StatePublished - Jul 2007
Externally publishedYes


  • Arterial blood pressure
  • Identifiability
  • Solitons
  • Windkessel model

ASJC Scopus subject areas

  • Signal Processing
  • Health Informatics


Dive into the research topics of 'Separation of arterial pressure into a nonlinear superposition of solitary waves and a windkessel flow'. Together they form a unique fingerprint.

Cite this