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[Sphygmogram analysis based on phase trajectories].

V I Volkov, D Iu Kozlov

Meditsinskaia Tekhnika

|May 30, 2008

Summary

This study proposes using Mattier

Area of Science:

Biomedical Engineering
Mathematical Modeling
Physiology

Context:

Quasi-periodic biological processes
Heart contraction and pulse wave generation
Limitations of current simulation methods

Purpose:

To adapt Mattier's differential equation for simulating human pulse wave oscillations
To establish a diagnostic method based on the stability of the equation's solutions
To qualitatively validate the model against experimental data

Summary:

Mattier's differential equation is proposed for simulating quasi-periodic processes, specifically the pulse wave oscillations from heart contractions.
Sphygmograms generated by the model show qualitative agreement with Mattier's and Hill's equations.

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A novel diagnostic approach is introduced, analyzing the stability of Mattier's equation solutions via phase trajectories.

Impact:

Provides a novel mathematical framework for understanding and simulating pulse wave dynamics.
Offers a potential new tool for non-invasive diagnosis of cardiovascular conditions.
Enhances the application of differential equations in biological system modeling.