A Current-Based Forward Solver for the Shunt Model of Electrical Impedance Tomography

Erfang Ma

doi:10.1007/978-3-030-64610-3_1

A Current-Based Forward Solver for the Shunt Model of Electrical Impedance Tomography

Erfang Ma^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

2 Citations (Scopus)

Abstract

We present a new numerical method for the solution of the forward problem of electrical impedance tomography (EIT) with the shunt model. Given a mesh over the EIT region, we discretize directly the conditions on the current density in equilibrium, and solve the resulting system of linear equations for the amount of current flowing through each side of every element. Afterwards, the distribution of current density and potential are reconstructed. Results of simulations on both 2D and 3D models indicate that the new method gives comparable results to those of the traditional finite element method with linear elements.

Original language	English
Title of host publication	8th European Medical and Biological Engineering Conference - Proceedings of the EMBEC 2020
Editors	Tomaz Jarm, Aleksandra Cvetkoska, Samo Mahnič-Kalamiza, Damijan Miklavcic
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	1-9
Number of pages	9
ISBN (Print)	9783030646097
DOIs	https://doi.org/10.1007/978-3-030-64610-3_1
Publication status	Published - 2020
Event	8th European Medical and Biological Engineering Conference, EMBEC 2020 - Portorož, Slovenia Duration: 29 Nov 2020 → 3 Dec 2020

Publication series

Name	IFMBE Proceedings
Volume	80
ISSN (Print)	1680-0737
ISSN (Electronic)	1433-9277

Conference

Conference	8th European Medical and Biological Engineering Conference, EMBEC 2020
Country/Territory	Slovenia
City	Portorož
Period	29/11/20 → 3/12/20

Keywords

Electrical impedance tomography
Forward solver
Shunt model

Access to Document

10.1007/978-3-030-64610-3_1

Cite this

Ma, E. (2020). A Current-Based Forward Solver for the Shunt Model of Electrical Impedance Tomography. In T. Jarm, A. Cvetkoska, S. Mahnič-Kalamiza, & D. Miklavcic (Eds.), 8th European Medical and Biological Engineering Conference - Proceedings of the EMBEC 2020 (pp. 1-9). (IFMBE Proceedings; Vol. 80). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-64610-3_1

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title = "A Current-Based Forward Solver for the Shunt Model of Electrical Impedance Tomography",

abstract = "We present a new numerical method for the solution of the forward problem of electrical impedance tomography (EIT) with the shunt model. Given a mesh over the EIT region, we discretize directly the conditions on the current density in equilibrium, and solve the resulting system of linear equations for the amount of current flowing through each side of every element. Afterwards, the distribution of current density and potential are reconstructed. Results of simulations on both 2D and 3D models indicate that the new method gives comparable results to those of the traditional finite element method with linear elements.",

keywords = "Electrical impedance tomography, Forward solver, Shunt model",

author = "Erfang Ma",

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year = "2020",

doi = "10.1007/978-3-030-64610-3_1",

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series = "IFMBE Proceedings",

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Ma, E 2020, A Current-Based Forward Solver for the Shunt Model of Electrical Impedance Tomography. in T Jarm, A Cvetkoska, S Mahnič-Kalamiza & D Miklavcic (eds), 8th European Medical and Biological Engineering Conference - Proceedings of the EMBEC 2020. IFMBE Proceedings, vol. 80, Springer Science and Business Media Deutschland GmbH, pp. 1-9, 8th European Medical and Biological Engineering Conference, EMBEC 2020, Portorož, Slovenia, 29/11/20. https://doi.org/10.1007/978-3-030-64610-3_1

A Current-Based Forward Solver for the Shunt Model of Electrical Impedance Tomography. / Ma, Erfang.
8th European Medical and Biological Engineering Conference - Proceedings of the EMBEC 2020. ed. / Tomaz Jarm; Aleksandra Cvetkoska; Samo Mahnič-Kalamiza; Damijan Miklavcic. Springer Science and Business Media Deutschland GmbH, 2020. p. 1-9 (IFMBE Proceedings; Vol. 80).

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

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N2 - We present a new numerical method for the solution of the forward problem of electrical impedance tomography (EIT) with the shunt model. Given a mesh over the EIT region, we discretize directly the conditions on the current density in equilibrium, and solve the resulting system of linear equations for the amount of current flowing through each side of every element. Afterwards, the distribution of current density and potential are reconstructed. Results of simulations on both 2D and 3D models indicate that the new method gives comparable results to those of the traditional finite element method with linear elements.

AB - We present a new numerical method for the solution of the forward problem of electrical impedance tomography (EIT) with the shunt model. Given a mesh over the EIT region, we discretize directly the conditions on the current density in equilibrium, and solve the resulting system of linear equations for the amount of current flowing through each side of every element. Afterwards, the distribution of current density and potential are reconstructed. Results of simulations on both 2D and 3D models indicate that the new method gives comparable results to those of the traditional finite element method with linear elements.

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Ma E. A Current-Based Forward Solver for the Shunt Model of Electrical Impedance Tomography. In Jarm T, Cvetkoska A, Mahnič-Kalamiza S, Miklavcic D, editors, 8th European Medical and Biological Engineering Conference - Proceedings of the EMBEC 2020. Springer Science and Business Media Deutschland GmbH. 2020. p. 1-9. (IFMBE Proceedings). doi: 10.1007/978-3-030-64610-3_1

A Current-Based Forward Solver for the Shunt Model of Electrical Impedance Tomography

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