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Comparing Interface Conditions for a 3D-0D Multiscale Interface Coupling With Applications in Tissue Perfusion.

L Bociu1, M Broussard1, G Guidoboni2

  • 1Department of Mathematics, NC State University, Raleigh, North Carolina, USA.

International Journal for Numerical Methods in Biomedical Engineering
|February 14, 2025
PubMed
Summary
This summary is machine-generated.

This study models tissue perfusion using 3D partial differential equations (PDEs) coupled with a 0D lumped circuit model. It compares two interface conditions for this multiscale approach to understand microvascular hemodynamics.

Keywords:
lumped hydraulic circuitmultiscale interface couplingoperator splittingporoelasticity

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Area of Science:

  • Multiscale modeling
  • Computational fluid dynamics
  • Biomedical engineering

Background:

  • Microvascular hemodynamics are crucial for many pathologies.
  • Modeling individual small vessels is computationally impractical.
  • Existing models often lack multiscale integration.

Purpose of the Study:

  • To develop and evaluate a multiscale modeling approach for tissue perfusion.
  • To investigate the impact of different interface conditions in a 3D-0D coupled model.
  • To enhance understanding of microvascular blood flow and its relation to systemic circulation.

Main Methods:

  • Utilizing three-dimensional (3D) partial differential equations (PDEs) for fluid flow in deformable porous media.
  • Modeling blood vessels as pores within a deformable tissue matrix.
  • Coupling the 3D PDE system with a zero-dimensional (0D) lumped circuit model.
  • Implementing and comparing two distinct physically-driven interface conditions between the 3D and 0D domains.

Main Results:

  • The study successfully implemented a multiscale 3D-0D model for tissue perfusion.
  • Distinct behaviors were observed based on the two interface conditions evaluated.
  • The coupling framework allows for the integration of local microvascular dynamics with systemic circulation features.

Conclusions:

  • The developed multiscale modeling approach provides a viable alternative for simulating tissue perfusion.
  • Interface condition selection significantly influences the model's outcomes.
  • This framework offers a powerful tool for studying pathologies related to microvascular hemodynamics.