A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems

George Bourantas; Benjamin Zwick; Simon K.  Warfield; Damon E. Hyde; Adam Wittek; Karol Miller

doi:10.1007/978-3-030-42428-2_9

A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems

George Bourantas, Benjamin Zwick, Simon K. Warfield, Damon E. Hyde, Adam Wittek, Karol Miller

Mechanical Engineering

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

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Abstract

We present a flux-conservative finite difference (FCFD) scheme for solving inhomogeneous anisotropic bioelectric problems. The method applies directly on the raw medical image data without the need for sophisticated image analysis algorithms to define interfaces between materials with different electrical conductivities. We demonstrate the accuracy of the method by comparison with analytical solution. Results for a patient-specific head model highlight the applicability of the method.

Original language	English
Title of host publication	Computational Biomechanics for Medicine
Subtitle of host publication	Solid and Fluid Mechanics for the Benefit of Patients
Editors	Karol Miller, Adam Wittek, Grand Joldes, Martyn P. Nash, Poul M. F. Nielsen
Place of Publication	Cham
Publisher	Springer Nature Switzerland AG
Pages	135-146
ISBN (Electronic)	978-3-030-42428-2
ISBN (Print)	978-3-030-42427-5
DOIs	https://doi.org/10.1007/978-3-030-42428-2_9
Publication status	Published - 18 Aug 2020
Event	MICCAI Computational Biomechanics for Medicine Workshop - Shenzhen, China Duration: 13 Oct 2019 → 13 Oct 2019

Workshop

Workshop	MICCAI Computational Biomechanics for Medicine Workshop
Country/Territory	China
City	Shenzhen
Period	13/10/19 → 13/10/19

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10.1007/978-3-030-42428-2_9

Full text_A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems

Towards better neuronavigation in epilepsy surgery: pre-operative MRI to intra-operative CT registration
Miller, K. (Investigator 01), Warfield, S. (Investigator 02), Joldes, G. (Investigator 03) & Wittek, A. (Investigator 04)
NHMRC National Health and Medical Research Council
1/01/19 → 31/12/22
Project: Research
Biomechanics Meets Robotics: Methods for Accurate and Fast Needle Targeting
Wittek, A. (Investigator 01), Singh, S. (Investigator 02), Miller, K. (Investigator 03), Hannaford, B. (Investigator 04) & Fichtinger, G. (Investigator 05)
ARC Australian Research Council
1/01/16 → 31/03/22
Project: Research

Cite this

Bourantas, G., Zwick, B., Warfield, S. K., Hyde, D. E., Wittek, A., & Miller, K. (2020). A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems. In K. Miller, A. Wittek, G. Joldes, M. P. Nash, & P. M. F. Nielsen (Eds.), Computational Biomechanics for Medicine: Solid and Fluid Mechanics for the Benefit of Patients (pp. 135-146). Springer Nature Switzerland AG. https://doi.org/10.1007/978-3-030-42428-2_9

Bourantas, George ; Zwick, Benjamin ; Warfield, Simon K. et al. / A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems. Computational Biomechanics for Medicine: Solid and Fluid Mechanics for the Benefit of Patients. editor / Karol Miller ; Adam Wittek ; Grand Joldes ; Martyn P. Nash ; Poul M. F. Nielsen. Cham : Springer Nature Switzerland AG, 2020. pp. 135-146

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title = "A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems",

abstract = "We present a flux-conservative finite difference (FCFD) scheme for solving inhomogeneous anisotropic bioelectric problems. The method applies directly on the raw medical image data without the need for sophisticated image analysis algorithms to define interfaces between materials with different electrical conductivities. We demonstrate the accuracy of the method by comparison with analytical solution. Results for a patient-specific head model highlight the applicability of the method.",

author = "George Bourantas and Benjamin Zwick and Warfield, \{Simon K.\} and Hyde, \{Damon E.\} and Adam Wittek and Karol Miller",

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booktitle = "Computational Biomechanics for Medicine",

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Bourantas, G, Zwick, B, Warfield, SK, Hyde, DE, Wittek, A & Miller, K 2020, A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems. in K Miller, A Wittek, G Joldes, MP Nash & PMF Nielsen (eds), Computational Biomechanics for Medicine: Solid and Fluid Mechanics for the Benefit of Patients. Springer Nature Switzerland AG, Cham, pp. 135-146, MICCAI Computational Biomechanics for Medicine Workshop, Shenzhen, China, 13/10/19. https://doi.org/10.1007/978-3-030-42428-2_9

A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems. / Bourantas, George; Zwick, Benjamin; Warfield, Simon K. et al.
Computational Biomechanics for Medicine: Solid and Fluid Mechanics for the Benefit of Patients. ed. / Karol Miller; Adam Wittek; Grand Joldes; Martyn P. Nash; Poul M. F. Nielsen. Cham: Springer Nature Switzerland AG, 2020. p. 135-146.

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

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T1 - A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems

AU - Bourantas, George

AU - Zwick, Benjamin

AU - Warfield, Simon K.

AU - Hyde, Damon E.

AU - Wittek, Adam

AU - Miller, Karol

PY - 2020/8/18

Y1 - 2020/8/18

N2 - We present a flux-conservative finite difference (FCFD) scheme for solving inhomogeneous anisotropic bioelectric problems. The method applies directly on the raw medical image data without the need for sophisticated image analysis algorithms to define interfaces between materials with different electrical conductivities. We demonstrate the accuracy of the method by comparison with analytical solution. Results for a patient-specific head model highlight the applicability of the method.

AB - We present a flux-conservative finite difference (FCFD) scheme for solving inhomogeneous anisotropic bioelectric problems. The method applies directly on the raw medical image data without the need for sophisticated image analysis algorithms to define interfaces between materials with different electrical conductivities. We demonstrate the accuracy of the method by comparison with analytical solution. Results for a patient-specific head model highlight the applicability of the method.

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DO - 10.1007/978-3-030-42428-2_9

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BT - Computational Biomechanics for Medicine

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PB - Springer Nature Switzerland AG

CY - Cham

T2 - MICCAI Computational Biomechanics for Medicine Workshop

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Bourantas G, Zwick B, Warfield SK, Hyde DE, Wittek A , Miller K. A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems. In Miller K, Wittek A, Joldes G, Nash MP, Nielsen PMF, editors, Computational Biomechanics for Medicine: Solid and Fluid Mechanics for the Benefit of Patients. Cham: Springer Nature Switzerland AG. 2020. p. 135-146 doi: 10.1007/978-3-030-42428-2_9

A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems

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Projects

Towards better neuronavigation in epilepsy surgery: pre-operative MRI to intra-operative CT registration

Biomechanics Meets Robotics: Methods for Accurate and Fast Needle Targeting

Cite this