Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
Analytical Solution for the Electric Field Response Generated by a Nonconducting Ellipsoid (Prolate Spheroid) in a Conducting Fluid Subject to an External Electric Field. / Yakovlev, Andrey B. ; Federyaeva, Valeriya S. .
Brain and Human Body Modeling 2020: Computational Human Models Presented at EMBC 2019 and the BRAIN Initiative® 2019 Meeting. ed. / Sergey Makarov. Springer Nature, 2021. p. 383-389.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
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TY - CHAP
T1 - Analytical Solution for the Electric Field Response Generated by a Nonconducting Ellipsoid (Prolate Spheroid) in a Conducting Fluid Subject to an External Electric Field
AU - Yakovlev, Andrey B.
AU - Federyaeva, Valeriya S.
N1 - Yakovlev A.B., Federyaeva V.S. (2021) Analytical Solution for the Electric Field Response Generated by a Nonconducting Ellipsoid (Prolate Spheroid) in a Conducting Fluid Subject to an External Electric Field. In: Makarov S., Noetscher G., Nummenmaa A. (eds) Brain and Human Body Modeling 2020. Springer, Cham. https://doi.org/10.1007/978-3-030-45623-8_22
PY - 2021
Y1 - 2021
N2 - An analytical solution is presented for the electric field response generated by a nonconducting ellipsoid (prolate spheroid) in a homogeneous conducting fluid subject to an external primary electric field, including surface charge distribution. Such a solution might be useful for different purposes, including cell modeling subject to an external quasistatic electromagnetic stimulus. The solution utilizes the well-known analogy between the electrostatics of dielectrics and DC conduction. The solution obtained includes an expression for the volumetric fields and an expression for the induced surface charge density at the membrane.
AB - An analytical solution is presented for the electric field response generated by a nonconducting ellipsoid (prolate spheroid) in a homogeneous conducting fluid subject to an external primary electric field, including surface charge distribution. Such a solution might be useful for different purposes, including cell modeling subject to an external quasistatic electromagnetic stimulus. The solution utilizes the well-known analogy between the electrostatics of dielectrics and DC conduction. The solution obtained includes an expression for the volumetric fields and an expression for the induced surface charge density at the membrane.
KW - Electric field response
KW - Cell modeling
KW - Simple cell geometry
KW - Analytical solutions
KW - Prolate non-conducting spheroid
UR - https://link.springer.com/chapter/10.1007/978-3-030-45623-8_22
UR - https://www.mendeley.com/catalogue/bd46a75c-e125-377d-b1ac-9d869ae3a66e/
U2 - 10.1007/978-3-030-45623-8_22
DO - 10.1007/978-3-030-45623-8_22
M3 - Chapter
SN - 978-3-030-45622-1
SP - 383
EP - 389
BT - Brain and Human Body Modeling 2020
A2 - Makarov, Sergey
PB - Springer Nature
ER -
ID: 71088899