Guan, D., Luo, X. and Gao, H. (2021) Constitutive modelling of soft biological tissue from ex vivo to in vivo: myocardium as an example. In: Suzuki, T., Poignard, C., Chaplain, M. and Quaranta, V. (eds.) Methods of Mathematical Oncology: Fusion of Mathematics and Biology, Osaka, Japan, October 26–28, 2020. Series: Springer proceedings in mathematics and statistics (370). Springer: Singapore, pp. 3-14. ISBN 9789811648656 (doi: 10.1007/978-981-16-4866-3_1)
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Abstract
Imbalance of stress/strain microenvironment can lead to adverse remodelling and pathogenesis in various soft tissues, tumour included. Therefore, there is a critical need for accurate quantification of the biomechanical homeostasis in soft tissue through mathematical modelling, which is critically dependent on constitutive models, the mathematical descriptions that approximate the mechanical behaviours of material under specific conditions by considering information from subcellular, cellular and tissue levels. In most soft biological tissue, collagen is the major component of the extracellular matrix, its architecture largely determines the material property (stiffness). In this work, we will use myocardium as an example to show how we can develop a constitutive law from various ex vivo experiments within the continuum mechanics framework, and demonstrate the applications to real patient data. We will further focus on parameter calibrations from ex/in vivo measurements. We believe this approach of constitutive modelling and calibration can be applied to various soft biological tissues and shed light on physiological and pathological mechanobiology.
| Item Type: | Book Sections |
|---|---|
| Additional Information: | The authors are grateful for the funding provided by the UK EPSRC (EP/N014642/1, EP/S030875, EP/S020950/1, EP/S014284/1). H.G. further acknowledges the EPSRC ECR Capital Award (308011). DG acknowledges funding from the Chinese Scholarship Council and the fee waiver from the University of Glasgow. |
| Status: | Published |
| Glasgow Author(s) Enlighten ID: | Luo, Professor Xiaoyu and Guan, Mr Debao and Gao, Dr Hao |
| Authors: | Guan, D., Luo, X., and Gao, H. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Publisher: | Springer |
| ISSN: | 2194-1009 |
| ISBN: | 9789811648656 |
| Published Online: | 22 August 2021 |
| Copyright Holders: | Copyright © 2021 Springer Nature Singapore Pte Ltd. |
| First Published: | First published in Methods of Mathematical Oncology: Fusion of Mathematics and Biology, Osaka, Japan, October 26–28, 2020: 3-14 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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