Separation of arterial pressure into solitary waves and windkessel flow

Taous-Meriem Laleg (1) , Emmanuelle Crépeau (2) , Michel Sorine (1)

1 SOSSO2 - Applications and Tools of Automatic Control
2 LMV - Laboratoire de Mathématiques de Versailles

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.

Mots clés: pressure; wave; solitons; 2-element windkessel; identifiability

Domaines: Optimisation et contrôle [math.OC]; Autre [q-bio.OT]

Taous-Meriem Laleg, Emmanuelle Crépeau, Michel Sorine. Separation of arterial pressure into solitary waves and windkessel flow. MCBMS'06, Sep 2006, Reims, France. ⟨inria-00000914v2⟩