Low-Dimensional Stochastic Modeling of the Electrical Properties of Biological Tissues

被引:3
|
作者
Roemer, Ulrich [1 ,2 ]
Schmidt, Christian [3 ]
van Rienen, Ursula [3 ]
Schoeps, Sebastian [1 ,2 ]
机构
[1] Tech Univ Darmstadt, Inst Theorie Elektromagnet Felder, D-64289 Darmstadt, Germany
[2] Tech Univ Darmstadt, Grad Sch Computat Engn, D-64293 Darmstadt, Germany
[3] Univ Rostock, Inst Allgemeine Elektrotech, D-18051 Rostock, Germany
关键词
Biomedical engineering; principal component analysis; random processes; uncertainty; DEEP BRAIN-STIMULATION; NEURAL ACTIVATION; CONDUCTIVITY; VOLUME;
D O I
10.1109/TMAG.2017.2668841
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Uncertainty quantification plays an important role in biomedical engineering as measurement data are often unavailable and literature data show a wide variability. Using the state-of-the-art methods, one encounters difficulties when the number of random inputs is large. This is the case, e.g., when using composite Cole-Cole equations to model random electrical properties. It is shown that how the number of parameters can be significantly reduced by the Karhunen-Loeve expansion. The low-dimensional random model is used to quantify uncertainties in the axon activation during deep brain stimulation. Numerical results for a Medtronic 3387 electrode design are given.
引用
收藏
页数:4
相关论文
共 50 条
  • [1] Low-Dimensional Stochastic Modeling of the Electrical Properties of Biological Tissues
    Roemer, Ulrich
    Schmidt, Christian
    van Rienen, Ursula
    Schoeps, Sebastian
    2016 IEEE CONFERENCE ON ELECTROMAGNETIC FIELD COMPUTATION (CEFC), 2016,
  • [2] Optical and Electrical Properties of Low-Dimensional Crystalline Materials
    Pura, Jose Luis
    Souto, Jorge
    CRYSTALS, 2023, 13 (06)
  • [3] On the properties of a stochastic magnetic structure of low-dimensional ultradisperse ferromagnets
    A. A. Ivanov
    V. A. Orlov
    G. O. Patrushev
    The Physics of Metals and Metallography, 2006, 102 : 485 - 493
  • [4] On the properties of a stochastic magnetic structure of low-dimensional ultradisperse ferromagnets
    Ivanov, A. A.
    Orlov, V. A.
    Patrushev, G. O.
    PHYSICS OF METALS AND METALLOGRAPHY, 2006, 102 (05): : 485 - 493
  • [5] Low-dimensional SiC nanostructures: Fabrication, luminescence, and electrical properties
    Fan, J. Y.
    Wu, X. L.
    Chu, Paul K.
    PROGRESS IN MATERIALS SCIENCE, 2006, 51 (08) : 983 - 1031
  • [7] Enlargement of a low-dimensional stochastic web
    Soskin, S. M.
    Khovanov, I. A.
    Mannella, R.
    McClintock, P. V. E.
    NOISE AND FLUCTUATIONS, 2009, 1129 : 17 - +
  • [8] Stochastic simulation of electron transport in a strong electrical field in low-dimensional heterostructures
    Kablukova, Evgeniya
    Sabelfeld, Karl K.
    Protasov, Dmitry
    Zhuravlev, Konstantin
    MONTE CARLO METHODS AND APPLICATIONS, 2023, 29 (04): : 307 - 322
  • [9] Modeling the electrical characteristics of Schottky contacts in low-dimensional heterostructure devices
    Ragi, R
    Romero, MA
    Nabet, B
    IEEE TRANSACTIONS ON ELECTRON DEVICES, 2005, 52 (02) : 170 - 175
  • [10] Sensitivity Analysis and Low-Dimensional Stochastic Modeling of Shipboard Integrated Power Systems
    Prempraneerach, P.
    Hover, F. S.
    Triantafyllou, M. S.
    Chryssostomidis, C.
    Karniadakis, G. E.
    2008 IEEE POWER ELECTRONICS SPECIALISTS CONFERENCE, VOLS 1-10, 2008, : 1999 - 2003