The electric field stress applied to the cell in the electric field will cause the biological effects of the cell on electromagnetic field. In this paper, the single-shell spherical cell is equated to dielectric spheres, and a biophysical method is used to solve the boundary value problem, and then Maxwell tensor analysis is used to discuss the electric field stresses affecting the applied electric field applied to the cells. The results of numerical analysis show that the ion mobility decreases nonlinearly with increasing frequency in the lower region of the applied electric field frequency, and increases with increasing equivalent dielectric constant at a certain frequency, and the magnitude of the electric field stress is almost independent of the frequency; as the frequency increases, the ion mobility tends to a minimum value and is almost independent of the equivalent dielectric constant, while the applied electric field frequency and the cell dielectric constant both affect the cell normal and the tangential stresses. Therefore, the frequency applied electric field and cell dielectric constant affect the extracellular ion mobility, electric field stress applied to the cell membrane by the electric field; the extracellular ion mobility caused by the electric field in the low frequency range is more pronounced than that in the high frequency, and electric field stress is the basic cause of cell deformation.
References
[1]
Radisic, M., Park, H., Shing, H., et al. (2004) Functional Assembly of Engineered Myocardium by Electrical Stimulation of Cardiac Myocytes Cultured on Scaffolds. PNAS, 101, 18129-18134. https://doi.org/10.1073/pnas.0407817101
[2]
Sheikh, A.Q., Taghian, T., Hemingway, B., et al. (2013) Regulation of Endothelial MAPK/ERK Signalling and Capillary Morphogenesis by Low-Amplitude Electric Field. Journal of the Royal Society Interface, 10, Article ID: 20120548. https://doi.org/10.1098/rsif.2012.0548
[3]
Rackauskas, G., Saygili, E., Rana, O.R., et al. (2015) Sub-Threshold High Frequency Electrical Field Stimulation Induces VEGF Expression in Cardiomyocytes. Cell Transplantation, 24, 1653-1659. https://doi.org/10.3727/096368914X682783
[4]
Llucia-Valldeperas, A., Sanchez, B., Soler-Botija, G., et al. (2014) Physiological Conditioning by Electric Field Stimulation Promotes Cardiomyogenic Gene Expression in Human Cardiomyocyte Progenitor Cells. Stem Cell Research & Therapy, 5, 93. https://doi.org/10.1186/scrt482
[5]
Schwan, H.P. (1982) Nonthermal Cellular Effects of Electromagnetic Fields: AC-Field Induced Ponderomotoric Forces. British Journal of Cancer, 5, 220-224.
[6]
Schaw, H.P. (1957) Electrical Properties of Tissue and Cell Suspensions. Advances in Biological and Medical Physics, 5, 147-209. https://doi.org/10.1016/B978-1-4832-3111-2.50008-0
[7]
Helfrich, W. (1973) Elastic Properties of Lipid Bilayers: Theory and Possible Experiments. Zeitschrift für Naturforschung, 28C, 693-703. https://doi.org/10.1515/znc-1973-11-1209
[8]
Peterlin, P., Svetina, S. and Žeks, B. (2007) The Prolate-to-Oblate Shape Transition of Phospholipid of an AC Electric Field Can Be Explained by the Dielectric Anisotropy of a Phospholipid Bilayer. Journal of Physics: Condensed Matter, 16, Article ID: 136220. https://doi.org/10.1088/0953-8984/19/13/136220
[9]
Vlahovska, P.M., Gracià, R.S., Aranda-Espinoza, S., et al. (2009) Electrohydrodynamic Model of Vesicle Deformation in Alternating Electric Fields. Biophysical Journal, 96, 4789-4803. https://doi.org/10.1016/j.bpj.2009.03.054
[10]
Yamamoto, T., Espinoza, S., Dimova, R., et al. (2010) Stability of Spherical Vesicle in Electric Fields. Langmuir, 26, 12390-12407. https://doi.org/10.1021/la1011132
[11]
Peterlin, P. (2010) Frequency Dependent Electrodeformation of Giant Phospholipid Vesicles in AC Electric Field. Journal of Biological Physics, 36, 339-354. https://doi.org/10.1007/s10867-010-9187-3
[12]
Salipante, P.F. and Vlahovska, P.M. (2014) Vesicle Deformation in DC Pulses. Soft Matter, 10, 3386-3393. https://doi.org/10.1039/C3SM52870G
[13]
Mcconnell, L., Vlahovska, P.M., Miksis, M.J., et al. (2015) Vesicle Dynamics in Uniform Electric Fields: Squaring and Breathing. Soft Matter, 11, 4840-4846. https://doi.org/10.1039/C5SM00585J
[14]
Sinhaa, K.P. and Thaokarb, R.M. (2019) Shape Deformation of a Vesicle under Axisymmetric Non-Uniform Alternating Electric Field. Journal of Physics Condensed Matter, 31, Article ID: 035101. https://doi.org/10.1088/1361-648X/aaef15
[15]
Zhang, H., Wang, L.Y., Zhang, P.J., et al. (2018) Modulation of Membrane Potential and Ion Concentration of Isolate Ellipsoidal Cell Exposed to Static Electric Field. Scientia Sinica (Technologica), 48, 783-790. https://doi.org/10.1360/N092017-00266
[16]
Zhang, H., Wang, Y.L., Zhang, X.D., et al. (2017) The Effect of Impulse Wave on Ion Migration across Cell Membrane. Journal of Northwest University (Natural Science Edition), 47, 481-486.
[17]
Zhang, H., Wang, Y., Zhang, P.J., et al. (2021) Estimation of Biophysical Properties of Cell Exposed to Electric Field. Chinese Physics B, 30, 038702-038709. https://doi.org/10.1088/1674-1056/abc543
[18]
Zhao, C.X. (2018) Analysis of Equivalent Dielectric Constant of Double-Layer Ellipsoid and Design of Related Artificial Electromagnetic Materials. Lanzhou University, Lanzhou.
[19]
Qin, Y.R. (2005) Modeling of Cell Membrane Voltage Changes in Suspension under External Electric Field. South China University of Technology, Guangzhou.
[20]
Garcia, A., Grosse, C. and Brito, P. (1985) On the Effect of Volume Charge Distribution on the Maxwell-Wagner Relaxation. Journal of Physics D: Applied Physics, 18, 739-745. https://doi.org/10.1088/0022-3727/18/4/018
[21]
Grosse, C. and Schwan, H.P. (1992) Cellular Membrane Potentials Induced by Alternating Fields. Biophysical Journal, 63, 1632-1642. https://doi.org/10.1016/S0006-3495(92)81740-X
