Abstract
The equivalent circuit method is a computational approach for electrical analysis in which the properties of the medium are modeled using circuit elements such as conductances and capacitances. Its main application is in the electric field calculation in biological tissues stimulated by electrical potentials applied with metal electrodes in contact with the material. This method allows modeling easily inhomogeneous materials that have dielectric dispersion, anisotropy, and nonlinear electrical behavior. These characteristics are typical of biological tissues. This chapter presents the mathematical foundations of the equivalent circuit method and illustrates its main features with a typical example of biological stimulation for the purpose of cell membrane electroporation.
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References
Bottcher CJF, Bordewijk P (1978) Theory of electric polarization, 2nd edn. Elsevier, Amsterdam
Chen JY, Gandhi OP (1992) Numerical simulation of annular-phased arrays of dipoles for hyperthermia of deep-seated tumors. IEEE Trans Biomed Eng 39:209–216
Cole KS, Cole RH (1941) Dispersion and absorption in dielectrics. I. Alternating current characteristics. J Chem Phys 9:341–352
Corovic S, Lackovic I, Sustaric P, Sustar T, Rodic T, Miklavcic D (2013) Modeling of electric field distribution in tissues during electroporation. Biomed Eng Online 12:16
Daniels C, Rubinsky B (2009) Electrical field and temperature model of nonthermal irreversible electroporation in heterogeneous tissues. J Biomech Eng 131:071006–1–12
Foster KR, Schwan HP (1995) Dielectric properties of tissues. In: Polk C, Postow E (eds) Handbook of biological effects of electromagnetic fields, 2nd edn. CRC Press, Boca Raton, pp 27–102
Gabriel S, Lau RW, Gabriel C (1996) The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum of tissues. Phys Med Biol 41:2271–2293
Kos B, Zupanic A, Kotnik T, Snoj M, Sersa G, Miklavcic D (2010) Robustness of treatment planning for electrochemotherapy of deep-seated tumors. J Membr Biol 236:147–153
Lacković I, Magjarević I, Miklavćić D (2009) Three-dimensional finite-element analysis of joule heating in electrochemotherapy and in vivo gene electrotransfer. IEEE Trans Dielectr Electr Insul 16:1338–1347
Miklavcic D, Corovic S, Pucihar G, Pavselj N (2006) Importance of tumour coverage by sufficiently high local electric field for effective electrochemotherapy. EJC Suppl 4:45–51
Miklavcic D, Snoj M, Zupanic A, Kos B, Cemazar M, Kropivnik M, Bracko M, Pecnik T, Gadzijev E, Sersa G (2010) Towards treatment planning and treatment of deep-seated solid tumors by electrochemotherapy. Biomed Eng Online 9:10
Nadeem M, Thorlin T, Gandhi OP, Person M (2003) Computation of electric and magnetic stimulation in human head using the 3-D impedance method. IEEE Trans Biomed Eng 50:900–907
Neal RE, Garcia PA, Robertson JL, Davalos RV (2012) Experimental characterization and numerical modeling of tissue electrical conductivity during pulsed electric fields for irreversible electroporation treatment planning. IEEE Trans Biomed Eng 59:1076–1085
Pavselj N, Bregar Z, Cukjati D, Batiuskaite D, Mir LM, Miklavcic D (2005) The course of tissue permeabilization studied on a mathematical model of a subcutaneous tumor in small animals. IEEE Trans Biomed Eng 52:1373–1381
Ramos A (2005) Effect of the electroporation in the field calculation in biological tissues. Artif Organs 29(6):510–513
Ramos A (2010) A new approach to the solution of electromagnetic problems with the impedance method. Math Comput Simul 81:860–874
Ramos A, Raizer A, Marques LB (2003) A new computational approach for electrical analysis of biological tissues. Bioelectrochemistry 59:73–84
Schwarz G (1962) A theory of the low frequency dielectric dispersion of colloidal particles in electrolyte solution. J Phys Chem 66:2636–2642
Zhao Y, Tang L, Rennaker R, Hutchens C, Ibrahim TS (2013) Studies in RF power communication, SAR, and temperature elevation in wireless implantable neural interfaces. PLoS One 8, e77759
Županič A, Čorović S, Miklavčič D, Pavlin M (2010) Numerical optimization of gene electrotransfer into muscle tissue. Biomed Eng Online 9:66
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Ramos, A., Suzuki, D.O.H. (2016). Computational Approach for Electrical Analysis of Biological Tissue Using the Equivalent Circuit Model. In: Miklavcic, D. (eds) Handbook of Electroporation. Springer, Cham. https://doi.org/10.1007/978-3-319-26779-1_12-1
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DOI: https://doi.org/10.1007/978-3-319-26779-1_12-1
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Publisher Name: Springer, Cham
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