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In Vitro Model of Physiological and Pathological Blood Flow with Application to Investigations of Vascular Cell Remodeling
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Mathematical Modeling of Rotary Blood Pumps in a Pulsatile In Vitro Flow Environment.

Tohid Pirbodaghi1

  • 1University of Bern, Bern, Switzerland.

Artificial Organs
|January 19, 2017
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Summary
This summary is machine-generated.

This study presents a mathematical model to simulate rotary blood pump (RBP) function in vitro, reducing animal testing. The model accurately predicts pump performance and aids in indirect pressure measurement for clinical applications.

Keywords:
Dynamic identificationIn-vitro studyRotary blood pumps

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Area of Science:

  • Biomedical Engineering
  • Computational Fluid Dynamics
  • Medical Device Development

Background:

  • Ethical concerns arise from animal use in medical device development and regulatory approval.
  • In vitro setups and mathematical models can partially replace in vivo testing, reducing animal sacrifice.
  • Rotary blood pumps (RBPs) are critical for treating heart failure, necessitating accurate performance evaluation.

Purpose of the Study:

  • To develop a mathematical model simulating the hydrodynamic function of a rotary blood pump (RBP) in a pulsatile in vitro flow environment.
  • To establish a relationship between the RBP's pressure head and key operational parameters like flow rate and rotational speed.
  • To validate the model's applicability for simulating pump-heart interactions and enabling indirect pressure measurements.

Main Methods:

  • Construction of an in vitro setup including a piston pump, compliance chamber, throttle, buffer reservoir, and CentriMag RBP.
  • Utilizing a blood analog fluid (40% glycerin-water mixture) and deionized water to assess fluid viscosity and density effects.
  • Employing regression analysis for parameter identification and validating the model with independent in vitro data.

Main Results:

  • A mathematical model was successfully developed, relating RBP pressure head to flow rate, rotational speed, and their time derivatives.
  • The model parameters were identified using regression analysis on physically measured and digitally acquired data.
  • The model demonstrated accuracy when validated against a separate set of in vitro experimental data.

Conclusions:

  • The developed mathematical model effectively simulates the hydrodynamic performance of RBPs in vitro.
  • This model can reduce reliance on animal testing for medical device validation.
  • The model has potential applications in simulating pump-heart interactions and for indirect clinical pressure measurements.