中国物理B ›› 2015, Vol. 24 ›› Issue (10): 100204-100204.doi: 10.1088/1674-1056/24/10/100204

• GENERAL • 上一篇    下一篇

Transformation optics for efficient calculation of transmembrane voltage induced on cells

廖胤鸿a, 朱铧丞a, 唐正明a b, 黄卡玛a   

  1. a School of Electronic Information and Engineering, Sichuan University, Chengdu 610029, China;
    b School of Electronics Information and Engineering, China West Normal University, Nanchong 637009, China
  • 收稿日期:2015-02-12 修回日期:2015-05-27 出版日期:2015-10-05 发布日期:2015-10-05
  • 基金资助:

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

Transformation optics for efficient calculation of transmembrane voltage induced on cells

Liao Yin-Hong (廖胤鸿)a, Zhu Hua-Cheng (朱铧丞)a, Tang Zheng-Ming (唐正明)a b, Huang Ka-Ma (黄卡玛)a   

  1. a School of Electronic Information and Engineering, Sichuan University, Chengdu 610029, China;
    b School of Electronics Information and Engineering, China West Normal University, Nanchong 637009, China
  • Received:2015-02-12 Revised:2015-05-27 Online:2015-10-05 Published:2015-10-05
  • Contact: Huang Ka-Ma E-mail:kmhuang@scu.edu.cn
  • Supported by:

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

摘要:

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.

关键词: efficient calculation, transmembrane voltage, transformation optics, anisotropic medium, membrane, bound water layer

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.

Key words: efficient calculation, transmembrane voltage, transformation optics, anisotropic medium, membrane, bound water layer

中图分类号:  (Numerical simulation; solution of equations)

  • 02.60.Cb
41.20.Cv (Electrostatics; Poisson and Laplace equations, boundary-value problems) 87.10.Ca (Analytical theories) 87.16.D- (Membranes, bilayers, and vesicles)