Physics-Informed Graph Neural Networks to solve 1-D equations of blood flow.

Journal: Computer methods and programs in biomedicine
PMID:

Abstract

BACKGROUND AND OBJECTIVE: Computational models of hemodynamics can contribute to optimizing surgical plans, and improve our understanding of cardiovascular diseases. Recently, machine learning methods have become essential to reduce the computational cost of these models. In this study, we propose a method that integrates 1-D blood flow equations with Physics-Informed Graph Neural Networks (PIGNNs) to estimate the propagation of blood flow velocity and lumen area pulse waves along arteries.

Authors

  • Ahmet Sen
    Mines Saint-Etienne, Univ Jean Monnet, INSERM, U 1059, Sainbiose, F-42023, France.
  • Elnaz Ghajar-Rahimi
    Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, 47907, USA.
  • Miquel Aguirre
    CIMNE, Gran Capità, 08034, Spain; LaCàN, Universitat Politècnica de Catalunya, Jordi Girona 1, E-08034, Barcelona, Spain.
  • Laurent Navarro
    Mines Saint-Etienne, Univ Jean Monnet, INSERM, U 1059, Sainbiose, F-42023, France.
  • Craig J Goergen
    Weldon School of Biomedical Engineering, Purdue University, West Lafayette, Indiana, USA. Electronic address: cgoergen@purdue.edu.
  • Stephane Avril
    Mines Saint-Etienne, Univ Jean Monnet, INSERM, U 1059, Sainbiose, F-42023, France. Electronic address: avril@emse.fr.