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

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

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

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Towards better neuronavigation in epilepsy surgery: pre-operative MRI to intra-operative CT registration
Miller, K., Warfield, S., Joldes, G. & Wittek, A.
National Health & Medical Research Council NHMRC
1/01/19 → 31/12/22
Project: Research
Biomechanics Meets Robotics: Methods for Accurate and Fast Needle Targeting
Wittek, A., Singh, S., Miller, K., Hannaford, B. & Fichtinger, G.
Australian Research Council
1/01/16 → 30/06/21
Project: Research

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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. ; Hyde, Damon E. ; Wittek, Adam ; Miller, Karol. / 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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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. 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. ; Hyde, Damon E.; Wittek, Adam ; Miller, Karol.

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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AU - Zwick, Benjamin

AU - Warfield, Simon K.

AU - Hyde, Damon E.

AU - Wittek, Adam

AU - Miller, Karol

PY - 2020/8/18

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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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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 https://doi.org/10.1007/978-3-030-42428-2_9

A Flux-Conservative Finite Difference Scheme for Anisotropic Bioelectric Problems

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

Biomechanics Meets Robotics: Methods for Accurate and Fast Needle Targeting

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