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Characteristic impedance: frequency or time domain approach?

M Umar Qureshi1,2, Mitchel J Colebank1, David A Schreier3

  • 1Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, United States of America.

Physiological Measurement
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Frequency and time domain methods for calculating characteristic impedance (Zc) yield different results due to inherent mathematical differences. These discrepancies in arterial stiffness metrics cannot be resolved, suggesting they represent distinct hemodynamic parameters.

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Area of Science:

  • Cardiovascular Physiology
  • Biomedical Engineering
  • Hemodynamics

Background:

  • Characteristic impedance (Zc) is a key hemodynamic parameter.
  • Zc quantifies proximal arterial stiffness and pulse wave velocity.
  • Estimates of Zc are derived from pressure-flow data using frequency or time domain methods.

Purpose of the Study:

  • Investigate discrepancies between frequency and time domain Zc estimates.
  • Analyze the impact of experimental and physiological uncertainties on Zc calculations.
  • Determine if observed discrepancies can be reconciled across different hemodynamic conditions.

Main Methods:

  • Utilized published hemodynamic data from humans, dogs, and mice.
  • Assessed effects of time delay, signal noise, and flow conditions.
  • Examined influence of cardiac and respiratory cycle periodicity on Zc estimates.

Main Results:

  • Frequency and time domain Zc estimates show differential sensitivity to signal characteristics like phase lag and noise.
  • Retrograde flow at end-systole impacts Zc estimates differently between methods.
  • Inherent mathematical differences prevent a unified criterion for resolving Zc discrepancies.

Conclusions:

  • Discrepancies between frequency and time domain Zc estimates are intrinsic and cannot be eliminated.
  • The two estimation methods likely represent distinct hemodynamic parameters.
  • Further assessment of frequency and time domain Zc as separate parameters is recommended.