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Voxel based adaptive meshless method for cardiac electrophysiology simulation

Voxel based adaptive meshless method for cardiac electrophysiology simulation
Voxel based adaptive meshless method for cardiac electrophysiology simulation
In this paper, an adaptive meshless method is described for solving the modified FitzHugh Nagumo equations on a set of nodes directly imported from the voxels of the medical images. The non-trivial task of constructing suitable meshes for complex geometries to solve the reaction-diffusion equations is circumvented by a meshfree implementation. The spatial derivatives arising in the reaction diffusion system are estimated using the Lagrangian form of scattered node radial basis function interpolant. Normal cardiac activation phenomena is fast, with a very steep upstroke and localised as compared to the size of the computational domain. To accurately capture this phenomena, a space adaptive method is presented where extra nodes are placed near the region of the activation front. The performance of the adaptive method is investigated first for synthetic geometry and then applied to a real-life geometry obtained from magnetic resonance imaging. Numerical results suggest that the presented method is capable of predicting realistic electrophysiology simulation effectively
9783642019319
4466
182-190
Springer
Chinchapatnam, Phani
646e6082-be0d-41f4-8672-31cafb8628a3
Rhode, Kawal
b719c853-24ae-41b3-aa53-cac345ad09ed
Ginks, Matthew
b7c6a6bf-c549-4eba-9c56-f88c48636005
Nair, Prasanth
d4d61705-bc97-478e-9e11-bcef6683afe7
Razavi, Reza
13e49097-6f6e-483f-979a-5c8b44d50be1
Arridge, Simon
d02551c9-1657-44b4-a94f-e1371ec7a233
Sermesant, Maxime
bdfc1c7b-46e9-45dc-99e7-51312c5facc0
Sachse, Frank B.
Seeman, Gunnar
Chinchapatnam, Phani
646e6082-be0d-41f4-8672-31cafb8628a3
Rhode, Kawal
b719c853-24ae-41b3-aa53-cac345ad09ed
Ginks, Matthew
b7c6a6bf-c549-4eba-9c56-f88c48636005
Nair, Prasanth
d4d61705-bc97-478e-9e11-bcef6683afe7
Razavi, Reza
13e49097-6f6e-483f-979a-5c8b44d50be1
Arridge, Simon
d02551c9-1657-44b4-a94f-e1371ec7a233
Sermesant, Maxime
bdfc1c7b-46e9-45dc-99e7-51312c5facc0
Sachse, Frank B.
Seeman, Gunnar

Chinchapatnam, Phani, Rhode, Kawal, Ginks, Matthew, Nair, Prasanth, Razavi, Reza, Arridge, Simon and Sermesant, Maxime (2009) Voxel based adaptive meshless method for cardiac electrophysiology simulation. Sachse, Frank B. and Seeman, Gunnar (eds.) In Functional Imaging and Modeling of the Heart. Springer. pp. 182-190 . (doi:10.1007/978-3-642-01932-6).

Record type: Conference or Workshop Item (Paper)

Abstract

In this paper, an adaptive meshless method is described for solving the modified FitzHugh Nagumo equations on a set of nodes directly imported from the voxels of the medical images. The non-trivial task of constructing suitable meshes for complex geometries to solve the reaction-diffusion equations is circumvented by a meshfree implementation. The spatial derivatives arising in the reaction diffusion system are estimated using the Lagrangian form of scattered node radial basis function interpolant. Normal cardiac activation phenomena is fast, with a very steep upstroke and localised as compared to the size of the computational domain. To accurately capture this phenomena, a space adaptive method is presented where extra nodes are placed near the region of the activation front. The performance of the adaptive method is investigated first for synthetic geometry and then applied to a real-life geometry obtained from magnetic resonance imaging. Numerical results suggest that the presented method is capable of predicting realistic electrophysiology simulation effectively

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More information

Published date: 2009
Venue - Dates: 5th International Conference on Functional Imaging and Modeling of the Heart, 2009-06-03 - 2009-06-05

Identifiers

Local EPrints ID: 71586
URI: https://eprints.soton.ac.uk/id/eprint/71586
ISBN: 9783642019319
PURE UUID: 6042b948-9674-4b6a-9119-278eb3f5bc57

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Date deposited: 15 Dec 2009
Last modified: 19 Jul 2019 23:44

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Contributors

Author: Phani Chinchapatnam
Author: Kawal Rhode
Author: Matthew Ginks
Author: Prasanth Nair
Author: Reza Razavi
Author: Simon Arridge
Author: Maxime Sermesant
Editor: Frank B. Sachse
Editor: Gunnar Seeman

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