Dielectric constant of biological systems

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Abstract
In this paper we follow the Fröhlich model of long-range coherence in biological systems and use the field-theoretic Hamiltonian of Wu and Austin. We calculate the complex dielectric constant of the metabolically active dipolar parts in the cell. The actual computation proceeds in two stages. In the first stage the imaginary part of the dielectric constant is obtained by the method of continued fractions. In the second stage the real part of the dielectric constant is calculated by an application of the Kramers-Kronig theorem. The main objective of the work presented in this paper is the real part of the dielectric constant. We also discuss the contributions from water which constitutes the majority of the cell content. Our results confirm the predictions of Fröhlich, and we give analytical expressions which can be utilized in the Fröhlich potential.

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