We present a macroscopic model of electrical conduction in biological tissues. 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 model for large times. Our results imply that periodic boundary data lead to an asymptotically periodic solution. The model is relevant to applications like electric impedance tomography.
Amar, M., Andreucci, D., Bisegna, P., Gianni, R. (2009). Stability and memory effects in a homogenized model governing the electrical conduction in biological tissues. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 4(2), 211-223 [10.2140/jomms.2009.4.211].
Stability and memory effects in a homogenized model governing the electrical conduction in biological tissues
BISEGNA, PAOLO;
2009-01-01
Abstract
We present a macroscopic model of electrical conduction in biological tissues. 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 model for large times. Our results imply that periodic boundary data lead to an asymptotically periodic solution. The model is relevant to applications like electric impedance tomography.| File | Dimensione | Formato | |
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