Research Article
Culture Medium Geometry: The Dominant Factor Affecting
In Vitro RF Exposure Dosimetry
Alessandra Paffi,
1
Francesca Apollonio,
1
Micaela Liberti,
1
Asher Sheppard,
2
Giorgi Bit-Babik,
3
and Quirino Balzano
4
1
Sapienza University of Rome, 00184 Rome, Italy
2
Asher Sheppard Consulting, 4960 Hoen Avenue, Santa Rosa, CA 95405, USA
3
Motorola Solutions, Inc., Plantation, FL 33322, USA
4
University of Maryland, Rm 2134, Kim Building, College Park, MD 20742, USA
Correspondence should be addressed to Quirino Balzano; qbalzano@umd.edu
Received 13 November 2014; Accepted 30 December 2014
Academic Editor: Diego Caratelli
Copyright © 2015 Alessandra Paf et al. Tis is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Biological experiments that expose living cells or tissues to RF energy must have an aqueous medium to provide essential water,
ions, nutrients, and growth factors. However, as we show here, the medium inherently functions as a receiving antenna that conveys
RF energy to the biological entity in a manner entirely determined by exposure vessel geometry, orientation to the incident RF fux,
frequency, and dielectric properties of the medium. We show for two common experimental arrangements that basic antenna theory
can predict electromagnetic energy patterns that agree well with those otherwise obtained by computationally intensive methods
that require specialized resources.
1. Introduction
Over the last half century researchers have exposed cell
preparations to RF electromagnetic (EM) energy to explore
mechanisms of interaction of living cells with EM felds [1].
Early experiments frequently were conducted by exposing
biological preparations to an incident EM wave of given
power density. However, the pattern of the RF feld exposure
of cells within the medium was not investigated for lack of
analytical tools, leaving investigators with little knowledge of
the distribution of energy absorbed by the cells under test.
Unless there is a clear understanding of the physics of EM
felds, it is possible to miss the overall character of RF
absorption by a biological preparation.
Te last two decades [2–4] have seen substantial advance-
ments in theoretical and experimental dosimetry. Minimal
requirements for exposure systems have been established [5]
and are now widely accepted. Te detailed distribution of
absorbed energy inside an exposure vessel requires computer
algorithms that accurately model the fne details of exposure
systems and exposed samples. One such numerical method
is the fnite diference time domain (FDTD) algorithm based
on numerical procedures to solve the EM problem within a
region of space [6].
Te FDTD method performs a point-by-point evaluation
of the EM felds whereas the analytical approach proceeds
from the frst principle, Faraday’s law, in describing the inter-
action between the felds and the medium. Consequently,
the analytic models reveal the physical events underlying the
computational results.
Tis paper aims to show that the culture medium of a
biological preparation not only supports cell metabolism but
also conveys the EM energy absorbed by the tissues and cells
under test, illustrating the usefulness of the concept that the
medium is an antenna whose geometric and dielectric prop-
erties entirely determine the biologically relevant exposure.
Te cells themselves have a passive role as absorbers of EM
energy from the local environment. Equivalently, the cells can
be considered as a distributed load of a dielectric antenna
consisting of the medium in which they are embedded. Tis
paper also presents analytical approaches that are simpler
than numerical FDTD computations and sufciently accurate
Hindawi Publishing Corporation
International Journal of Antennas and Propagation
Volume 2015, Article ID 438962, 10 pages
http://dx.doi.org/10.1155/2015/438962