2007/10/01 by Taous-Meriem Laleg, Taous‐Meriem Laleg‐Kirati, Claire Médigue +8
Engineering · Mathematics · Medicine · Physics and Astronomy · #Cardiovascular Health and Disease Prevention #FOS: Physical sciences #Heart Rate Variability and Autonomic Control #Mathematical Physics (math-ph) #Non-Invasive Vital Sign Monitoring #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.0710.0280
openalex publication_date 2007/10/01 · arxiv created 2007/10/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new method for analyzing arterial blood pressure is presented in this report. The technique is based on the scattering transform and consists in solving the spectral problem associated to a one-dimensional Schrödinger operator with a potential depending linearly upon the pressure. This potential is then expressed with the discrete spectrum which includes negative eigenvalues and corresponds to the interacting components of an N-soliton. The approach is similar to a nonlinear Fourier transform where the solitons play the role of sine and cosine components. The method provides new cardiovascular indices that seem to contain relevant physiological information. We first show how to use this approach to decompose the arterial blood pressure pulse into elementary waves and to reconstruct it or to separate its systolic and diastolic phases. Then we analyse the parameters computed from this technique in two physiological conditions, the head-up 60 degrees tilt test and the isometric handgrip test, widely used for studying short term cardiovascular control. Promising results are obtained.