An updated Lagrangian constrained mixture model of pathological cardiac growth and remodelling

Guan, D., Zhuan, X., Luo, X. and Gao, H. (2023) An updated Lagrangian constrained mixture model of pathological cardiac growth and remodelling. Acta Biomaterialia, 166, pp. 375-399. (doi: 10.1016/j.actbio.2023.05.022) (PMID:37201740)

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Abstract

Progressive left ventricular (LV) growth and remodelling (G&R) is often induced by volume and pressure overload, characterized by structural and functional adaptation through myocyte hypertrophy and extracellular matrix remodelling, which are dynamically regulated by biomechanical factors, inflammation, neurohormonal pathways, etc. When prolonged, it can eventually lead to irreversible heart failure. In this study, we have developed a new framework for modelling pathological cardiac G&R based on constrained mixture theory using an updated reference configuration, which is triggered by altered biomechanical factors to restore biomechanical homeostasis. Eccentric and concentric growth, and their combination have been explored in a patient-specific human LV model under volume and pressure overload. Eccentric growth is triggered by overstretching of myofibres due to volume overload, i.e. mitral regurgitation, whilst concentric growth is driven by excessive contractile stress due to pressure overload, i.e. aortic stenosis. Different biological constituent’s adaptations under pathological conditions are integrated together, which are the ground matrix, myofibres and collagen network. We have shown that this constrained mixture-motivated G&R model can capture different phenotypes of maladaptive LV G&R, such as chamber dilation and wall thinning under volume overload, wall thickening under pressure overload, and more complex patterns under both pressure and volume overload. We have further demonstrated how collagen G&R would affect LV structural and functional adaption by providing mechanistic insight on anti-fibrotic interventions. This updated Lagrangian constrained mixture based myocardial G&R model has the potential to understand the turn over processes of myocytes and collagen due to altered local mechanical stimuli in heart diseases, and in providing mechanistic links between biomechanical factors and biological adaption at both the organ and cellular levels. Once calibrated with patient data, it can be used for assessing heart failure risk and designing optimal treatment therapies.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu and Guan, Mr Debao and Gao, Dr Hao and Zhuan, Mr Xin
Authors: Guan, D., Zhuan, X., Luo, X., and Gao, H.
College/School:College of Science and Engineering > School of Mathematics and Statistics
College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Acta Biomaterialia
Publisher:Elsevier
ISSN:1742-7061
ISSN (Online):1878-7568
Published Online:16 May 2023
Copyright Holders:Copyright © 2023 The Authors
First Published:First published in Acta Biomaterialia 166:375-399
Publisher Policy:Reproduced under a Creative Commons license

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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
309324Optimisation of prediction models for red blood cell demandAlice MillerEngineering and Physical Sciences Research Council (EPSRC)EP/R511705/1Computing Science
316944A MODELLING STUDY OF RIGHT VENTRICULAR FUNCTION IN REPAIRED TETRALOGY OF FALLOT FOR PREDICTING OUTCOME AND IMPACT OF PULMONARY VALVE REPLACEMENTHao GaoBritish Heart Foundation (BHF)PG/22/10930M&S - Mathematics