Using Microelectrode Models for Real Time Cell-Culture Monitoring
Alberto Yúfera
1
Member, IEEE, Paula Daza
2
, Daniel Cañete
3
Abstract: This paper proposes a cell-microelectrode model
for cell biometry applications, based on the area overlap as
main parameter. The model can be applied to cell size
identification, cell count, and their extension to cell growth and
dosimetry protocols. Experiments performed with comercial
electrodes are presented, illustrating a procedure to obtain cell
number in both growth and dosimetry processes. Results
obtained for the AA8 cell line are promising.
Keywords- Microelectrode; ECIS; bio-impedance; impedance
sensor; cell culture; dosimetry.
I. INTRODUCTION
any biological parameters and processes can be sensed
and monitored using its impedance as marker [1-5], with
the advantage of being a non-invasive and relatively
cheap technique. Cell growth, cell activity, changes in cell
composition and shape or in cell location are examples of
processes which can be detected with microelectrode-cell
impedance sensors [6-9]. Among Impedance Spectroscopy (IS)
techniques, Electrical Cell-substrate Impedance Spectroscopy
(ECIS) [7.8], based on two-electrode setups, allows the
measure of cell-culture impedance and the definition of the
biological nature (material, internal activity, motility and size)
of a kind of cell and its relationship with the environment [11].
One of the main drawbacks of ECIS technique is the need of
efficient models to decode the electrical performance of the full
system composed by the electrodes, medium and cells. Several
works have been developped in this field. In [8], magnitude and
phase impedance are deduced from electric field equation
solution at the cell-electrode interface, giving a three parameter
based model. h, the cell-electrode distance, R
b
, barrier
resistance and r
cell
, cell radius. In [9,10], finite element
simulation (FEM) are executed for solving electrical field
considering the whole structure. This method gives one
parameter model (R
gap
) for describing the gap or cell-electrode
region resistance. In both, the derived model considers the cell
confluent phase [7] or a fixed area covered by cells [9]. The
latest was extended in [10] to several cell sizes, allowing to
define the cell-electrode covered area as the main model
parameter.
Manuscript received March 26, 2011. This work was supported in part by
the Spanish founded Project: Auto-calibración y auto-test en circuitos
analógicos, mixtos y de radio frecuencia: Andalusian Government
project P0-TIC-5386, co-financed with FEDER program.
1
A. Yúfera is with the Seville Microelectronics Institute (IMSE-CNM),
Seville Uni.. Av. Americo Vespucio, sn, 41092, Seville. Spain. Phone:
+34954466666. yufera@imse-cnm.csic.es.
2
P. Daza is with the Dpt. of Cell Biology, Biology Faculty. Seville Uni.
Av. Reina Mercedes, sn, 41012, Seville. Spain. pdaza@us.es.
3
D. Cañete is with the Dpt. of Electronic Technology, ETSII, Seville
Uni.. Av. Reina Mercedes, sn, 41012, Seville. Spain. dani@zariweyo.es.
This work considers a modification of model in [9], to
incorporate the cell-microelectrode area overlap [10].
Impedance sensor sensitivity curves based on the cell size and
density will be presented and applied to measure the growth-tax
in cell-cultures and to describe cell toxicity experiments.
Section II resumes the electrode solution model useful for cell-
electrode characterization. The process to extract useful cell-
microelectrode models is included at section III, illustrating the
simulations on a simplified system for cell size detection.
Section IV relies on real time cell culture monitoring and the
application of the proposed model to dosimetry experiments.
Conclusions will be highlighted at section V.
II. ELECTRODE-ELECTROLYTE MODEL
The impedance of electrodes in ionic liquids has been rather
extensively investigated. An excellent review can be found at
[6]. The main componets describing the electrical performance
of an electrode metal inside a solution are four: the double layer
capacitance, C
I
, the current flowing through the electrified
interface will encounter a resistance R
ct
caused by the electron
transfer at the electrode surface and Warburg impedance Z
W
due to limited mass diffusion from the electrode surface to the
solution. The electron transfer resistance R
ct
is in series with
the mass diffusion limited impedance Z
W
. As the current
spreads out to the bulk solution, the electrode has a solution
conductivity determined by series resistance, represented as
spreading resistance R
S
in the equivalent circuit. These four
parameters depend on technology, medium and geometry.
Figure 1. Circuit for the electrode-solution interface. CI is the double layer
capacitance, Faradic impedance includes Zw, the Warburg impedance and
Rct, the charge-transfer resistance. Rs is the spreading resistance.
III. CELL-ELECTRODE MODEL
Figure 2 illustrates a two-electrode impedance sensor useful for
ECIS technique: e
1
is the sensing electrode and e
2
the reference
one. Electrodes can be manufactured in CMOS process with
metal layers [9] or using post-processing steps [13]. The cell
location and size on e
1
top must be detected.
The model in Fig. 3 considers the sensing surface of e
1
could be
total or partially filled by cells. For the two-electrode sensor in
Fig. 2, e
1
is the sensing area A, and Z( ) the impedance by unit
area of the empty electrode (without cells on top). When e
1
is
partially covered by cells in a surface A
c
, Z( )/(A-A
c
) is the
electrode impedance associated to non-covered area by cells,
and Z( )/A
c
is the impedance of the covered area. R
gap
models
the current flowing laterally through the electrode-cell
interface, which depends on the electrode-cell distance at the
M
978-1-4244-4122-8/11/$26.00 ©2011 IEEE 3983
33rd Annual International Conference of the IEEE EMBS
Boston, Massachusetts USA, August 30 - September 3, 2011