This paper deals with the mathematical models for the electrical activity of the heart at the micro- and macroscopic levels. By using the tools of the ?-convergence theory, a rigorous mathematical derivation of the macroscopic model, called "bidomain" and derived directly from the microscopic properties of the tissue, is presented.

Multiscale modeling for the electrical activity of the heart

M Pennacchio;P Colli Franzone
2006

Abstract

This paper deals with the mathematical models for the electrical activity of the heart at the micro- and macroscopic levels. By using the tools of the ?-convergence theory, a rigorous mathematical derivation of the macroscopic model, called "bidomain" and derived directly from the microscopic properties of the tissue, is presented.
2006
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
homogenization
Gamma-convergence
degenerate evolution equations
reaction-diffusion systems
bidomain model
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/52390
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