Transformation optics for efficient calculation of transmembrane voltage induced on cells

doi:10.1088/1674-1056/24/10/100204

Abstract

We present a novel efficient approach in calculating induced transmembrane voltage (ITV) on cells based on transformation optics. As cell membrane is much thinner than the dimension of a typical cell, discretizing the membrane needs numerous meshes. Using an anisotropic medium based on transformation optics, the thickness of the membrane can be exaggerated by at least one order, which eliminates rigorous mesh refinement and reduces unknowns greatly. The accuracy and efficiency of the proposed method are verified by a cylindrical cell model. Moreover, the influence on ITV with bound water (BW) layers is also studied. The results show that when cells are exposed to nanosecond electric field, BW layers should be rigorously considered in calculating ITV.

Keywords: efficient calculation transmembrane voltage transformation optics anisotropic medium membrane bound water layer

Received: 12 February 2015
Revised: 27 May 2015
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	41.20.Cv	(Electrostatics; Poisson and Laplace equations, boundary-value problems)
	87.10.Ca	(Analytical theories)
	87.16.D-	(Membranes, bilayers, and vesicles)

Fund:

Project supported by the National Key Basic Research Program of China (Grant Nos. 2013CB328900 and 2013CB328905).

Corresponding Authors: Huang Ka-Ma
E-mail: kmhuang@scu.edu.cn

Cite this article:

Liao Yin-Hong (廖胤鸿), Zhu Hua-Cheng (朱铧丞), Tang Zheng-Ming (唐正明), Huang Ka-Ma (黄卡玛) Transformation optics for efficient calculation of transmembrane voltage induced on cells 2015 Chin. Phys. B 24 100204

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Transformation optics for efficient calculation of transmembrane voltage induced on cells

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