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Patient-specific parameter estimation in single-ventricle lumped circulation models under uncertainty.

Daniele E Schiavazzi1, Alessia Baretta2, Giancarlo Pennati2

  • 1Department of Pediatrics, Stanford University, Stanford, CA, USA.

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|May 9, 2016
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Summary

Automated parameter identification in cardiovascular lumped parameter network (LPN) models enhances clinical utility. This framework accurately tunes patient-specific parameters using clinical data, improving treatment planning for complex pediatric cases.

Keywords:
Bayesian estimationNorwood procedurelumped circulation modelspatient-specific data assimilationsingle-ventricle surgeryuncertainty analysis of simulated physiology

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Area of Science:

  • Cardiovascular Physiology
  • Computational Modeling
  • Biomedical Engineering

Background:

  • Lumped parameter network (LPN) models offer a computationally efficient method to simulate cardiovascular physiology.
  • Accurate patient-specific parameter identification is crucial for maximizing the clinical utility of complex LPN models.
  • Current methods for parameter tuning often require manual adjustments and may not fully account for clinical data variability.

Purpose of the Study:

  • To develop and validate a framework for automated parameter identification in 0D lumped cardiovascular models.
  • To match model parameters with non-invasively obtained clinical data for improved patient-specific simulations.
  • To assess the framework's performance in a cohort of pediatric patients with single ventricle physiology and Norwood procedure.

Main Methods:

  • A framework combining local identifiability analysis, Bayesian estimation, and maximum a posteriori simplex optimization was developed.
  • The automated tuning framework was applied to virtual patient data and subsequently to clinical data from four single ventricle patients.
  • Multi-level estimation, involving sub-model analysis to update parameter prior information, was investigated to reduce uncertainty.

Main Results:

  • The framework successfully determined physiologically consistent point estimates for LPN model parameters.
  • Quantification of parameter uncertainty was achieved, reflecting errors and assumptions in clinical data.
  • Multi-level estimation significantly reduced the parameter marginal posterior variance, indicating improved model accuracy.

Conclusions:

  • Automated parameter identification enhances the clinical applicability of cardiovascular LPN models.
  • The developed framework provides a robust method for tuning patient-specific parameters using clinical data.
  • This approach holds promise for improving treatment planning and decision-making in pediatric cardiovascular medicine, particularly for single ventricle patients.