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Spectroscopic conductivity imaging of a cell culture

by H. Ammari and L. Giovangigli and H . Kwon and J. K. Seo and T. Wintz

(Report number 2016-23)

Abstract
In this paper, we present a simplified electrical model for tissue culture. We derive a mathematical structure for overall electrical properties of the culture and study their dependence on the frequency of the current. We introduce a method for recovering the microscopic properties of the cell culture from the spectral measurements of the effective conductivity. Numerical examples are provided to illustrate the performance of our approach.

Keywords: cell culture, conductivity properties, spectroscopic conductivity measurements, inverse homogenization

@Techreport{AGKSW16_660,
  author = {H. Ammari and L. Giovangigli and H . Kwon and J. K. Seo and T. Wintz},
  title = {Spectroscopic conductivity imaging of a cell culture},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2016-23},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2016/2016-23.pdf },
  year = {2016}
}

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