Zhu, Y., Luo, X.Y. , Gao, H. , Mccomb, C. and Berry, C. (2014) A numerical study of a heart phantom model. International Journal of Computer Mathematics, 91(7), pp. 1535-1551. (doi: 10.1080/00207160.2013.854337)
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Abstract
In this paper, we develop a computational heart phantom model based on magnetic resonance imaging (MRI) of Shelley's dynamic multi-modality heart phantom. The phantom is made of a hydrogel material which mimics the elasticity of human soft tissue, and iscomposed of anatomically correct left and right ventricle structures. The numerical analysis is carried out using the Neo-Hookean constitutive model and the C ++ based object-oriented finite element library libMesh is used to solve the fully nonlinear governing equations. We derive the partial differential equations into a set of Lagrangian mesh, and use the weighted residual Galerkin method and Newton iteration solver in the numerical scheme. To validate the numerical model, the displacements and strainsof some representative points are compared with experimental measurements and MRI based strain estimations. Good agreement is obtained, and limitations of the model are discussed.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Mccomb, Dr Christie and Luo, Professor Xiaoyu and Gao, Dr Hao and Berry, Professor Colin and Zhu, Dr Yunfei |
| Authors: | Zhu, Y., Luo, X.Y., Gao, H., Mccomb, C., and Berry, C. |
| College/School: | College of Medical Veterinary and Life Sciences > School of Cardiovascular & Metabolic Health College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | International Journal of Computer Mathematics |
| Publisher: | Taylor and Francis |
| ISSN: | 0020-7160 |
| ISSN (Online): | 1029-0265 |
| Copyright Holders: | Copyright © 2013 The Authors |
| First Published: | First published in International Journal of Computer Mathematics |
| Publisher Policy: | Reproduced under a Creative Commons License |
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