On a hierarchy of models for electrical conduction in biological tissues | Zendy

Amar M. | Zendy; Andreucci D. | Zendy; Bisegna P. | Zendy; Gianni R. | Zendy

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On a hierarchy of models for electrical conduction in biological tissues

Author(s) -

Amar M.,

Andreucci D.,

Bisegna P.,

Gianni R.

Publication year - 2005

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.709

Subject(s) - homogenization (climate) , mathematics , hierarchy , thermal conduction , electrical conductor , electrical conduction , limit (mathematics) , dielectric , mathematical analysis , calculus (dental) , physics , thermodynamics , quantum mechanics , ecology , medicine , biodiversity , dentistry , economics , market economy , biology

In this paper we derive a hierarchy of models for electrical conduction in a biological tissue, which is represented by a periodic array of period ε of conducting phases surrounded by dielectric shells of thickness εη included in a conductive matrix. Such a hierarchy will be obtained from the Maxwell equations by means of a concentration process η → 0, followed by a homogenization limit with respect to ε . These models are then compared with regard to their physical meaning and mathematical issues. Copyright © 2005 John Wiley & Sons, Ltd.

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