@inbook{7d14fbaa413c4c4d8e103bca36eb4591,
title = "Composite Smeared Finite Element – Application to Electrical Field",
abstract = "In this paper we present application of recently developed composite smeared finite element (CSFE) to electrophysiology problems and ionic transport, mainly in heart tissue. The main advantage of the CSFE is that discrete transport, approximated by 1D finite elements within nervous system, can be transformed into a continuum framework. The governing balance equation for electrical flow within neuron fibers is defined according to the cable theory. This governing equation is then transformed into continuum format represented by formulating a conductivity tensor. We include transport of ions which affects the electrical potential, therefore there exists a coupling between ion concentration and the electrical field. Besides general presentation of the smeared FE methodology, we give some additional details regarding the derivation of the coupling relations within the CSFE, and also accuracy analysis of the element. Accuracy is tested on several simple 2D and 3D examples of Purkinje fibers network with different electrical potential. Using the smeared field approach, we can analyze various complex problems in a simple form, with all important physical properties included in the model.",
keywords = "Composite smeared finite element, Conductivity tensor, Electrophysiology, Ionic transport, Nerve network",
author = "Vladimir Geroski and Miljan Milosevic and Vladimir Simic and Bogdan Milicevic and Nenad Filipovic and Milos Kojic",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2020",
doi = "10.1007/978-3-030-43658-2_4",
language = "English (US)",
series = "Learning and Analytics in Intelligent Systems",
publisher = "Springer Nature",
pages = "35--43",
booktitle = "Learning and Analytics in Intelligent Systems",
address = "United States",
}