Homogenization limit and asymptotic decayfor electrical conduction in biological tissues in the high radiofrequency range

Micol Amar; Daniele Andreucci; Paolo Bisegna; Roberto Gianni

doi:10.3934/cpaa.2010.9.1131

Article Contents

2010, Volume 9, Issue 5: 1131-1160. Doi: 10.3934/cpaa.2010.9.1131

This issue Previous Article Large time behavior of solutions to a moving-interface problem modeling concrete carbonation Next Article Kirchhoff systems with nonlinear source and boundary damping terms

Homogenization limit and asymptotic decay for electrical conduction in biological tissues in the high radiofrequency range

1.
Università di Roma "La Sapienza", Via A. Scarpa 16, 00161 Roma
2.
Dipartimento di Ingegneria Civile, Università di Roma “Tor Vergata”, Via del Politecnico 1, 00133 Roma
3.
Dipartimento di Metodi e Modelli Matematici, Università di Roma "La Sapienza", Via A. Scarpa 16, 00161 Roma

Received: August 31, 2009

Revised: October 31, 2009

Published: August 2010

Abstract Related Papers Cited by

Abstract

We derive a macroscopic model of electrical conduction in biological tissues in the high radio-frequency range, which is relevant in applications like electric impedance tomography. This model is derived via a homogenization limit by a microscopic formulation, based on Maxwell’s equations, taking into account the periodic geometry of the microstructure. We also study the asymptotic behavior of the solution for large times. Our results imply that periodic boundary data lead to an asymptotically periodic solution.

Keywords:

Homogenization,
electrical conduction in biological tissues,
dynamical boundary conditions,
oscillating test-function method.

Mathematics Subject Classification: 35B27, 78A70, 45K05.

Citation:

Article Metrics

HTML views() PDF downloads(98) Cited by(0)

Homogenization limit and asymptotic decay for electrical conduction in biological tissues in the high radiofrequency range

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Homogenization limit and asymptotic decay for electrical conduction in biological tissues in the high radiofrequency range

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content