Effects of dispersed fibres in myocardial mechanics, Part II: active response

Debao Guan; Yingjie Wang; Lijian Xu; Li Cai; Xiaoyu Luo; Hao Gao; Debao Guan; Yingjie Wang; Lijian Xu; Li Cai; Xiaoyu Luo; Hao Gao

doi:10.3934/mbe.2022189

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 4: 4101-4119. doi: 10.3934/mbe.2022189

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Effects of dispersed fibres in myocardial mechanics, Part II: active response

1.
School of Mathematics and Statistics, University of Glasgow, UK
2.
Centre for Perceptual and Interactive Intelligence, The Chinese University of Hong Kong, Hong Kong, China
3.
School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an, China

Received: 25 November 2021 Revised: 24 January 2022 Accepted: 25 January 2022 Published: 16 February 2022

This work accompanies the first part of our study "effects of dispersed fibres in myocardial mechanics: Part I passive response" with a focus on myocardial active contraction. Existing studies have suggested that myofibre architecture plays an important role in myocardial active contraction. Following the first part of our study, we firstly study how the general fibre architecture affects ventricular pump function by varying the mean myofibre rotation angles, and then the impact of fibre dispersion along the myofibre direction on myocardial contraction in a left ventricle model. Dispersed active stress is described by a generalised structure tensor method for its computational efficiency. Our results show that both the myofibre rotation angle and its dispersion can significantly affect cardiac pump function by redistributing active tension circumferentially and longitudinally. For example, larger myofibre rotation angle and higher active tension along the sheet-normal direction can lead to much reduced end-systolic volume and higher longitudinal shortening, and thus a larger ejection fraction. In summary, these two studies together have demonstrated that it is necessary and essential to include realistic fibre structures (both fibre rotation angle and fibre dispersion) in personalised cardiac modelling for accurate myocardial dynamics prediction.
- fibre dispersion,
- myofibre rotation,
- generalised structure tensor,
- active stress,
- myocardial contraction
Citation: Debao Guan, Yingjie Wang, Lijian Xu, Li Cai, Xiaoyu Luo, Hao Gao. Effects of dispersed fibres in myocardial mechanics, Part II: active response[J]. Mathematical Biosciences and Engineering, 2022, 19(4): 4101-4119. doi: 10.3934/mbe.2022189

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Abstract

This work accompanies the first part of our study "effects of dispersed fibres in myocardial mechanics: Part I passive response" with a focus on myocardial active contraction. Existing studies have suggested that myofibre architecture plays an important role in myocardial active contraction. Following the first part of our study, we firstly study how the general fibre architecture affects ventricular pump function by varying the mean myofibre rotation angles, and then the impact of fibre dispersion along the myofibre direction on myocardial contraction in a left ventricle model. Dispersed active stress is described by a generalised structure tensor method for its computational efficiency. Our results show that both the myofibre rotation angle and its dispersion can significantly affect cardiac pump function by redistributing active tension circumferentially and longitudinally. For example, larger myofibre rotation angle and higher active tension along the sheet-normal direction can lead to much reduced end-systolic volume and higher longitudinal shortening, and thus a larger ejection fraction. In summary, these two studies together have demonstrated that it is necessary and essential to include realistic fibre structures (both fibre rotation angle and fibre dispersion) in personalised cardiac modelling for accurate myocardial dynamics prediction.

References

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