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Poster communications
Influence of periodic diffusive inclusions on the bidomain model
Abstract : We present a new mathematical model of the electric activity of the heart. In the standard bidomain
model we can distinguish the intra- and the extracellular space with different conductivities for excitable
cells and the fibrotic tissue around them. The main drawback is that it assumes the existence of excitable
cells everywhere in the heart, while it is known that there exist non small regions where fibroblasts take
place. The fibroblasts are equally distributed and since they are non excitable cells, they can be
considered as a diffusive part. Hence we extend the standard bidomain model as follows: we assume
that we have periodic alternation of the healthy tissue (linear bidomain model) and fibrotic extracellular
space (diffusive part). We use homogenisation techniques to derive our macroscopic partial differential
equations. Interestingly, we obtain again a bidomain type model with modified conductivities that
involve the volume fraction of the diffusive domain. Preliminary numerical experiments will conclude
on the influence of these diffusive inclusions.
Cited literature [3 references]
https://hal.inria.fr/hal-01117272
Contributor : Anđela Davidović <>
Submitted on : Tuesday, February 17, 2015 - 3:38:33 PM
Last modification on : Thursday, February 11, 2021 - 2:54:02 PM
Long-term archiving on: : Tuesday, May 26, 2015 - 11:30:26 AM
Contributor : Anđela Davidović <>
Submitted on : Tuesday, February 17, 2015 - 3:38:33 PM
Last modification on : Thursday, February 11, 2021 - 2:54:02 PM
Long-term archiving on: : Tuesday, May 26, 2015 - 11:30:26 AM
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