Bio-Heat Transfer in Various Transcutaneous Stimulation Models

This study models the use of transcutaneous electrical
nerve stimulation on skin with a disk electrode in order to simulate
tissue damage. The current density distribution above a disk electrode
is known to be a dynamic and non-uniform quantity that is intensified
at the edges of the disk. The non-uniformity is subject to change
through using various electrode geometries or stimulation methods.
One of these methods known as edge-retarded stimulation has shown
to reduce this edge enhancement. Though progress has been made in
modeling the behavior of a disk electrode, little has been done to test
the validity of these models in simulating the actual heat transfer
from the electrode. This simulation uses finite element software to
couple the injection of current from a disk electrode to heat transfer
described by the Pennesbioheat transfer equation. An example
application of this model is studying an experimental form of
stimulation, known as edge-retarded stimulation. The edge-retarded
stimulation method will reduce the current density at the edges of the
electrode. It is hypothesized that reducing the current density edge
enhancement effect will, in turn, reduce temperature change and
tissue damage at the edges of these electrodes. This study tests this
hypothesis as a demonstration of the capabilities of this model. The
edge-retarded stimulation proved to be safer after this simulation. It is
shown that temperature change and the fraction of tissue necrosis is
much greater in the square wave stimulation. These results bring
implications for changes of procedures in transcutaneous electrical
nerve stimulation and transcutaneous spinal cord stimulation as well.





References:
[1] T. Watson, Electrotherapy: evidence-based practice. 12th ed.,
Edinburgh: Churchill Livingstone, 2008.
[2] D. M.Walsh,TENS: clinical applications and related theory. Churchill
Livingstone. 1997.
[3] I. Jones, &M. I. Johnson, Transcutaneous electrical nerve
stimulation.Continuing Education in Anaesthesia, Critical Care & Pain,
vol. 9, no. 4, pp. 130-135, June 2009.
[4] S. M. Danner, U. S. Hofstoetter, J. Ladenbauer, F. Rattay, K. Minassian.
Can the human lumbar posterior columns be stimulated by
transcutaneous spinal cord stimulation? A modeling study. Artificial
organs, vol. 35, no. 3, pp. 257-262. 2011.
[5] A. J. Fong, R. R. Roy, R. M. Ichiyama, I. Lavrov, G. Courtine, Y.
Gerasimenko,V. R. Edgerton. Recovery of control of posture and
locomotion after a spinal cord injury: solutions staring us in the
face. Progress in brain research,vol.175, pp. 393-418. 2009.
[6] J. D. Wiley and J. G. Webster, "Analysis and control of the current
distribution under circular dispersive electrodes,” IEEE Trans.
Biomed.Eng., vol. BME-29, pp. 381–389, 1982.
[7] J. T. Rubinstein, F. A. Spelman, M. Soma, and M. F. Suesserman,
"Current density profiles of surface mounted and recessed electrodes for
neural prostheses,” IEEE Trans. Biomed. Eng., vol. 34, pp. 864–
875,1987.
[8] J. Newman, "Resistance for flow of current to a disk”, J. Electrochem.
Soc., vol. 113, 1966, pp. 501–2.
[9] J. Newman. "Frequency Dispersion in Capacity Measurements at a Disk
Electrode”, J. Electrochem. Soc., vol. 117, 1970, pp. 198
[10] J. Newman. "The Transient Response of a Disk Electrode”,
J.Electrochem., Soc., vol. 120, 1973, pp. 1339
[11] K. B. Oldham, "The RC time constant at a disk electrode,”Electrochem.
Commun., vol. 6, 2004, pp. 210–214.
[12] J. C. Myland and K. B. Oldham, "How does the double layer at a disk
electrode charge?”, J. Electroanalyt. Chem., vol. 575, 2005, pp. 81–93.
[13] B. Wang and J. D. Weiland, "Reduction of current density at disk
electrode periphery by shaping current pulse edges,” in Proc. 34th Annu.
Int. Conf.IEEE Eng. Med. Biol. Soc., pp. 5138–5141. 2012.
[14] M. R. Behrend , A. K. Ahuja and J. D. Weiland"Dynamic current
density of the disk electrode double-layer",IEEE Trans. Biomed.
Eng.,vol. 55,no. 3,pp.1056 -1062, 2008
[15] A. Datta, M. Elwassif, M.Bikson. Bio-heat transfer model oftranscranial
DC stimulation: comparison of conventional pad versus ring electrode.
31st Annual International Conference of the IEEE Engineering in
Medicine and Biology Society. IEEE Engineering in Medicine and
Biology Society. Conference. 670-673, 2009.
[16] J. T. Rubinstein , F. A. Spelman , M. Soma and M. F.
Suesserman"Current density profiles of surface mounted and recessed
electrodes for neural prostheses",IEEE Trans. Biomed. Eng.,vol. BME-
34,no. 11,pp.864 -875 1987
[17] A. Zolfaghari, M. Maerefat, "A new simplified thermoregulatory bioheat
model for evaluating thermal response of the human body to transient
environments.” Build Environ, vol. 45, no. 10, pp. 2068–2076, 2010.
[18] C.Gabriel, S. Gabriel, E.Corthout, "The dielectric properties of
biological tissues: I. Literature survey,” Phys. Med. Biol. Vol. 41, pp.
2231-2249. 1996.
[19] S.Gabriel, R.W. Lau, C. Gabriel, "The dielectric properties of biological
tissues: II. Measurements in the frequency range 10 Hz to 20 GHz,”
Phys. Med. Biol. Vol. 41, pp. 2251-2269. 1996
[20] S.Gabriel, R.W. Lau, C.Gabriel, "The dielectric properties of biological
tissues: III. Parametric models for the dielectric spectrum of tissues,”
Phys. Med. Biol. Vol. 41, pp. 2271-2293. 1996
[21] K. R. Diller, J. A. Pearce,"Issues in modeling thermal alterations in
tissues,” NY Acad. Sci. vol. 888, pp. 153–164, 1999
[22] N.T. Wright, "On a relationship between the Arrhenius parametersfrom
thermal damage studies,” J. Biomech. Eng. Vol. 125, pp. 300–304, 2003