InVAErt networks for amortized inference and identifiability analysis of lumped-parameter haemodynamic models.

Journal: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
PMID:

Abstract

Estimation of cardiovascular model parameters from electronic health records (EHRs) poses a significant challenge primarily due to lack of identifiability. Structural non-identifiability arises when a manifold in the space of parameters is mapped to a common output, while practical non-identifiability can result due to limited data, model misspecification or noise corruption. To address the resulting ill-posed inverse problem, optimization-based or Bayesian inference approaches typically use regularization, thereby limiting the possibility of discovering multiple solutions. In this study, we use inVAErt networks, a neural network-based, data-driven framework for enhanced digital twin analysis of stiff dynamical systems. We demonstrate the flexibility and effectiveness of inVAErt networks in the context of physiological inversion of a six-compartment lumped-parameter haemodynamic model from synthetic data to real data with missing components.This article is part of the theme issue 'Uncertainty quantification for healthcare and biological systems (Part 2)'.

Authors

  • Guoxiang Grayson Tong
    Department of Applied and Computational Mathematics and Statistics, University of Notre Dame College of Science, Notre Dame, IN 46556, USA.
  • Carlos A Sing-Long
    Institute of Mathematical and Computational Engineering, Pontificia Universidad Católica de Chile, Santiago, Chile.
  • Daniele E Schiavazzi
    Department of Applied and Computational Mathematics and Statistics, University of Notre Dame College of Science, Notre Dame, IN 46556, USA.