shaoyaoqian/poroelasticmodelforacutemyocarditis

Finite element simulation of immune system dynamics coupled with large-strain poromechanics

PoroelasticModelForAcuteMyocarditis

What

Finite element simulation of immune system dynamics coupled with large-strain poromechanics. It relies on the FEniCS package (tested with v.2019.1).

Context

The immune system dynamics are as follows

And the simulations produce the following type of solutions

How to cite

Further details on the model and discretisation can be found in the following two references [1] [2]

@rticle{Barnafi21,
  url     = {http://arxiv.org/abs/2111.04206},
  doi     = {2111.04206xxx},
  author  = {Barnafi, Nicolas and G\'omez-Vargas, Bryan  and Louren\c{c}o, Wesley de Jesus and 
              Reis, Ruy Freitas and Rocha, Bernardo Martins and Lobosco, Marcelo and 
              Ruiz-Baier, Ricardo and Weber dos Santos, Rodrigo},
  title   = {Mixed methods for large-strain poroelasticity/chemotaxis models 
              simulating the formation of myocardial oedema},
  year    = {2021},
  journal = {arXiv preprint}
}

@article{Lourenco22,
  doi = {10.3389/fphys.2022.888515},
  year    = {2022},
  volume  = {13}, 
  pages ={e888515(1--14)},
  author  = {Louren\c{c}o, Wesley de Jesus and Reis, Ruy Freitas and 
              Ruiz-Baier, Ricardo and Rocha, Bernardo Martins and 
              Weber dos Santos, Rodrigo and Lobosco, Marcelo},
  title   = {A poroelastic approach for modelling myocardial oedema 
              in acute myocarditis},
  journal = {Frontiers in Physiology}
}