A parametric model for the changes in the complex valued conductivity of a lung during tidal breathing

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Classical homogenization theory based on the Hashin-Shtrikman coated ellipsoids is used to model the changes in the complex valued conductivity (or admittivity) of a lung during tidal breathing. Here, the lung is modeled as a two-phase composite material where the alveolar air-filling corresponds to the inclusion phase. The theory predicts a linear relationship between the real and the imaginary parts of the change in the complex valued conductivity of a lung during tidal breathing, and where the loss cotangent of the change is approximately the same as of the effective background conductivity and hence easy to estimate. The theory is illustrated with numerical examples based on realistic parameter values and frequency ranges used with electrical impedance tomography (EIT). The theory may be potentially useful for imaging and clinical evaluations in connection with lung EIT for respiratory management and control.


  • Sven Nordebo
  • Mariana Dalarsson
  • Davood Khodadad
  • Beat Müller
  • Andreas D. Waldman
  • Tobias Becher
  • Inez Frerichs
  • Louiza Sophocleous
  • Daniel Sjöberg
  • Nima Seifnaraghi
  • Richard Bayford
Enheter & grupper
Externa organisationer
  • University Medical Center Schleswig-Holstein Campus Kiel
  • University of Cyprus
  • Middlesex University
  • Linnaeus University
  • Swisstom AG

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Medicinsk laboratorie- och mätteknik
  • Annan elektroteknik och elektronik


TidskriftJournal of Physics D: Applied Physics
Utgåva nummer20
StatusPublished - 2018 apr 25
Peer review utfördJa