Skip to content

Red blood cell flow inside a vessel: The spectral Galerkin boundary integral method for red blood cell motion and deformation and the direct boundary element method for the rigid vessel implementations are put together to analyze the stresses developed on the cell membrane while squeezing through a constriction.

Notifications You must be signed in to change notification settings

aligurbu/RBCFlowInRigidTube.m

Repository files navigation

DOI

RBCFlowInRigidTube.m: Red blood cell motion and deformation inside of a rigid tube with varying cross-section.

  • This code was developed for part of my dissertation to simulate red blood cell flow using boundary integral methods.
  • This repository contains the code for the examples presented in Chapter 6 for simulating the red blood cell motion and deformation in a microcapillary with constriction.

Numerical examples


Purely elastic membrane model


Straight microcapillary

Membrane shape In-plane isotropic membrane tension
The fluid flow field inside and outside of the red blood cell
PostProcessingElasRBC_Short_Pr4_2_Time0_75s.mp4

Short constricted microcapillary

Membrane shape In-plane isotropic membrane tension
The fluid flow field inside and outside of the red blood cell
PostProcessingElasRBC_RefCons_6mic_Pr8.mp4

Long constricted microcapillary

Membrane shape In-plane isotropic membrane tension
The fluid flow field inside and outside of the red blood cell
PostProcessingElasRBC_LongConVes_Pr8.mp4

Viscoelastic membrane model


Straight microcapillary

Membrane shape In-plane isotropic membrane tension
The fluid flow field inside and outside of the red blood cell
PostProcessingMemVisRBC_Short_muMem10_Pr4_2_Time0_75.mp4

Short constricted microcapillary

Membrane shape In-plane isotropic membrane tension
The fluid flow field inside and outside of the red blood cell
PostProcessingMemVisRBC_RefCons_6mic_muMem_3_18_Pr8.mp4

Long constricted microcapillary

Membrane shape In-plane isotropic membrane tension
The fluid flow field inside and outside of the red blood cell
PostProcessingMemVisRBC_LongConVes_muMem_3_18_Pr40.mp4

Citation

@phdthesis{gurbuz2021Thesis,
    title={Simulations of Red Blood Cell Flow by Boundary Integral Methods},
    author={G\"urb\"uz, Ali},
    year={2021},
    school={State University of New York at Buffalo}
}

@software{RBCFlowInRigidTube_m,
  author       = {Ali G\"urb\"uz},
  title        = {RBCFlowInRigidTube.m},
  month        = Feb,
  year         = 2023,
  publisher    = {Zenodo},
  version      = {v1.0},
  doi          = {10.5281/zenodo.7668539},
  url          = {https://doi.org/10.5281/zenodo.7668539}
}

About

Red blood cell flow inside a vessel: The spectral Galerkin boundary integral method for red blood cell motion and deformation and the direct boundary element method for the rigid vessel implementations are put together to analyze the stresses developed on the cell membrane while squeezing through a constriction.

Resources

Stars

Watchers

Forks

Packages

No packages published