Finite element simulation of immune system dynamics coupled with large-strain poromechanics. It relies on the FEniCS package (tested with v.2019.1).
The immune system dynamics are as follows
And the simulations produce the following type of solutions
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}
}