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Lumped parameter estimation for the embryonic chick vascular system: a time-domain approach using MLAB.

M Yoshigi1, G D Knott, B B Keller

  • 1National Institutes of Health Specialized Center of Research in Pediatric Cardiovascular Diseases, Strong Children's Research Center, Department of Pediatrics, University of Rochester School of Medicine and Dentistry, Rochester, NY 14642, USA.

Computer Methods and Programs in Biomedicine
|August 6, 2000
PubMed
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Researchers modeled the early chick embryonic vascular system to understand heart loading. A modified Windkessel model best fit the data, offering insights into cardiovascular development.

Area of Science:

  • Cardiovascular Physiology
  • Developmental Biology
  • Biomedical Engineering

Background:

  • Understanding the mechanical properties of the developing cardiovascular system is crucial for studying heart function and disease.
  • Lumped parameter models offer a simplified approach to analyzing complex physiological systems like the embryonic vasculature.

Purpose of the Study:

  • To evaluate lumped parameter analog models for inferring loading characteristics of the early chick embryonic heart.
  • To compare the fitting performance of different analog circuit models to experimental pressure and flow data.

Main Methods:

  • Simultaneous measurement of dorsal aortic pressure and flow using a servo-null pressure system and pulsed Doppler velocimeter.
  • Formulation of time-domain differential equations for four analog circuit models.

Related Experiment Videos

  • Estimation of lumped parameters using MLAB mathematical modeling software to minimize discrepancies between model predictions and experimental data.

    • Main Results:

    • The traditional three-element Windkessel model, augmented with an inductance term, consistently provided the best fit to the experimental data.
    • This finding aligns with previous studies employing a frequency-domain analysis.

    Conclusions:

    • The adapted three-element Windkessel model effectively represents the loading conditions of the early chick embryonic vascular system.
    • The developed methodology is adaptable for analyzing nonlinear and distributed parameter models in mammalian cardiovascular development under various conditions.