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Mathematical cardiac physiology

Descrizione

The course covers mathematical and numerical aspects of cardiac physiology. The course is composed by 4 lectures in total. The first lecture will focus on electrophysiology. We will present the bidomain model and its derivation from basic principles, and excitation waves solutions associated to it. We will also cover simplified models such as the monodomain and eikonal models. The second lecture is on the numerical discretization and computational aspects for the bidomain model. The third lecture is devoted to cardiac mechanics and the electro-mechanic and mechano-electric coupling. Finally, the last lecture will focus on applications of clinical interest, including ECG simulation, cardiac resynchronization therapy and atrial fibrillation.

The course will also benefit from 2 guest presentations from Sonia Pozzi, on computational electromechanics and the implementation in MOOSE, and from Ali Gharaviri, on modeling of atrial fibrillation. The guest talks are respectively scheduled on the third and fourth lecture.

 

Schedule:

10/10: bidomain model

17/10: computational electrophysiology

24/10: cardiac mechanics + S. Pozzi seminar

31/10: clinical applications + A. Gharaviri seminar

 

REFERENCES

  • Keener, Syned “Mathematical Physiology”, 2nd ed. 2009
  • Hille, “Ion channels of excitable membranes”, 3rd ed. 2001
  • Colli Franzone et al, “Mathematical cardiac electrophysiology”, 2014
  • Smith et al, “Multiscale computational modelling of the heart”, Acta Numerica 13, 2004

Persone

 

Pezzuto S.

Docente titolare del corso

Informazioni aggiuntive

Semestre
Autunnale
Anno accademico
2018-2019
ECTS
1
Lingua
Inglese
Offerta formativa
Dottorato in Scienze informatiche, Corso dottorale, Corso, 2° anno

Dottorato in Scienze informatiche, Corso dottorale, Corso, 1° anno