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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
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Compartmental analysis is a widely adopted approach to characterizing drug pharmacokinetics. It uses compartment models that conceptualize the body as a collection of reversibly communicating compartments, each representing a group of tissues exhibiting similar drug distribution characteristics. The movement rate of the drug between these compartments is typically described by first-order kinetics.
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Patient-specific Modeling of the Heart: Estimation of Ventricular Fiber Orientations
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Optimization framework for patient-specific modeling under uncertainty.

Joshua Mineroff1, Balaji Sesha Sarath Pokuri1, Baskar Ganapathysubramanian1

  • 1Mechanical Engineering, Iowa State University, Ames, Iowa, USA.

International Journal for Numerical Methods in Biomedical Engineering
|November 30, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a new framework for tuning patient-specific computational models using uncertain data. It accurately determines input parameter distributions to match target output distributions, improving model reliability.

Keywords:
optimizationpatient-specific modelingreduced order modelsurrogate modeluncertainty quantification

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Area of Science:

  • Computational modeling
  • Uncertainty quantification
  • Biomedical engineering

Background:

  • Patient-specific computational models require reliable parameter estimation.
  • Existing deterministic approaches struggle with unreliable and ill-suited data.
  • Uncertainty in data complicates accurate model parameterization.

Purpose of the Study:

  • To develop an optimization-based uncertainty quantification framework for probabilistic model tuning.
  • To discover model input distributions that generate target output distributions.
  • To enhance the reliability of patient-specific computational models.

Main Methods:

  • Developed an optimization-based uncertainty quantification framework.
  • Utilized probabilistic sampling with a surrogate model for computational efficiency.
  • Employed a general distribution parameterization for model inputs.
  • Validated the approach on seven patient-specific cardiovascular model examples using CircAdapt.

Main Results:

  • Accurately reproduced target output distributions in all tested examples.
  • Successfully recreated reference input distributions for synthetic examples.
  • Demonstrated the framework's efficacy with both synthetic and real-world patient data.
  • Showcased accurate parameter distribution estimation for patient-specific models.

Conclusions:

  • The proposed framework effectively handles uncertain data in patient-specific modeling.
  • It enables accurate determination of parameter distributions for improved model reliability.
  • The approach offers insights into model parameter sensitivity to measured data.