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Homogenization of a modified bidomain model involving imperfect transmission

  • * Corresponding author

    * Corresponding author 
The first author is member of the Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). The second author is member of the Gruppo Nazionale per la Fisica Matematica (GNFM) of the Istituto Nazionale di Alta Matematica (INdAM)
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  • We study, by means of the periodic unfolding technique, the homogenization of a modified bidomain model, which describes the propagation of the action potential in the cardiac electrophysiology. Such a model, allowing the presence of pathological zones in the heart, involves various geometries and non-standard transmission conditions on the interface between the healthy and the damaged part of the cardiac muscle.

    Mathematics Subject Classification: Primary: 35B27; Secondary: 35Q92, 35K20.


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  • Figure 1.  ${Left}$: the periodic cell $ Y $. $ E^{ \rm{D}} $ is the shaded region and $ E^{ \rm{B}} $ is the white region.${Right}$: the region $ \varOmega $

    Figure 2.  The periodic cell $ Y $. $ E^{ \rm{D}} $ is the shaded region and $ E^{ \rm{B}} $ is the white region

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