Effects of dispersed fibres in myocardial mechanics, Part I: passive response

Guan, D., Mei, Y., Xu, L., Cai, L., Luo, X. and Gao, H. (2022) Effects of dispersed fibres in myocardial mechanics, Part I: passive response. Mathematical Biosciences and Engineering, 19(4), pp. 3972-3993. (doi: 10.3934/mbe.2022183)

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Abstract

It is widely acknowledged that an imbalanced biomechanical environment can have significant effects on myocardial pathology, leading to adverse remodelling of cardiac function if it persists. Accurate stress prediction essentially depends on the strain energy function which should have competent descriptive and predictive capabilities. Previous studies have focused on myofibre dispersion, but not on fibres along other directions. In this study, we will investigate how fibre dispersion affects myocardial biomechanical behaviours by taking into account both the myofibre dispersion and the sheet fibre dispersion, with a focus on the sheet fibre dispersion. Fibre dispersion is incorporated into a widely-used myocardial strain energy function using the discrete fibre bundle approach. We first study how different dispersion affects the descriptive capability of the strain energy function when fitting to ex vivo experimental data, and then the predictive capability in a human left ventricle during diastole. Our results show that the chosen strain energy function can achieve the best goodness-of-fit to the experimental data by including both fibre dispersion. Furthermore, noticeable differences in stress can be found in the LV model. Our results may suggest that it is necessary to include both dispersion for myofibres and the sheet fibres for the improved descriptive capability to the ex vivo experimental data and potentially more accurate stress prediction in cardiac mechanics.

Item Type:Articles
Additional Information:We are grateful for the funding provided by the UK EPSRC (EP/S030875, EP/S020950/1, EP/S014284/1, EP/R511705/1 ) and H.G. further acknowledges the EPSRC ECR Capital Award (308011). L.C acknowledges the National Natural Science Foundation of China (11871399, 11471261, 11571275). D.G. also acknowledges funding from the Chinese Scholarship Council and the fee waiver from the University of Glasgow.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Gao, Dr Hao and Guan, Mr Debao and Cai, Dr Li
Authors: Guan, D., Mei, Y., Xu, L., Cai, L., Luo, X., and Gao, H.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Mathematical Biosciences and Engineering
Publisher:American Institute of Mathematical Sciences
ISSN:1547-1063
ISSN (Online):1551-0018
Published Online:11 February 2022
Copyright Holders:Copyright © 2022 The Author(s)
First Published:First published in Mathematical Biosciences and Engineering 19(4): 3972-3993
Publisher Policy:Reproduced under a Creative Commons licence

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
303232EPSRC Centre for Multiscale soft tissue mechanics with MIT and POLIMI (SofTMech-MP)Xiaoyu LuoEngineering and Physical Sciences Research Council (EPSRC)EP/S030875/1M&S - Mathematics
303231A whole-heart model of multiscale soft tissue mechanics and fluid structureinteraction for clinical applications (Whole-Heart-FSI)Xiaoyu LuoEngineering and Physical Sciences Research Council (EPSRC)EP/S020950/1M&S - Mathematics
303798Growth and Remodelling in Neoanatal Porcine Heart-- Pushing Mathematics through ExperimentsXiaoyu LuoEngineering and Physical Sciences Research Council (EPSRC)EP/S014284/1M&S - Mathematics
304896EPSRC-IAA: Early Stage Commercialisation of a PET Imaging Agent for the Detection of Cardiovascular Disease and CancerAndrew SutherlandEngineering and Physical Sciences Research Council (EPSRC)EP/R511705/1Chemistry