LOng-Term anatomical fluid dynamics for new Univentricular heartS palliation (LOTUS)

Lead Research Organisation: University of Nottingham
Department Name: Sch of Mathematical Sciences

Abstract

Children with functionally univentricular hearts (UVH) have poor life prognosis, despite surgical treatment. This project aims to build an open-source combined Artificial Intelligence and Computational Fluid Dynamics (CFD) tool to determine 'optimal' designs for the Fontan procedure to be used by surgeons, to enhance patient life expectancy (currently 20-30 years).
Detailed imaging from UVH patients will be provided by USM to produce 3D geometries on which UK numerical models can be applied. USM currently treats 40-50 new UVH patients/year and 150 in follow-up, therefore they have a large databank covering a wide range of anatomical morphologies changing with patient growth and various palliative stages. This databank enables the construction of a novel mathematical model of how morphology/flow in later life depends on surgical procedure, with the prediction of the 'optimal' surgical design minimizing the negative impact of the Fontan circulation. Combining high-fidelity curvilinear discretization, multiscale modelling, and machine learning, the CFD tool will reliably inform on long-term impact of surgical procedures, including a novel physiological Fontan procedure by the UK team.
Expected outcomes.
1. Study of the long-term prognosis of subjects with complex congenital heart defects, specifically following all patients with UVH.
2. Consolidate partnership between Malaysia and UK teams, provide training to USM personnel introducing CFD tools for surgery optimisation.
3. Develop a patient-specific open-source computational tool to optimize surgical procedures in children with functionally UVH, for better long-term quality of life.
4. Combine artificial intelligence techniques with efficient and reliable multiscale CFD modelling based on recent polyhedral discretisations to predict long-term outcome of surgery.
5. We envisage that the project's tool will provide a new insight on the reason for the failure of UVH palliation.
6. The tool will also permit the validation of new Fontan procedures based on more physiological types of surgical connections, such as the one recently proposed and evaluated with CFD studies by the UK team.

Technical Summary

This project will take advantage of a unique partnership between USM and Hospital Raja Perempuam Zainab II, in Malaysia, and a world-leading team in the UK, blending together extensive clinical experience from both countries with engineering and mathematical modelling and High-Performance Computing (HPC) research. USM has a well-established research-active Unit of Paediatric and Congenital Cardiac Surgery, with state-of-the-art data acquisition capabilities and a unique and well-maintained data set of patients of all ages. This will be used for the calibration of the mathematical/computational model aimed at explaining the long-term impact of Univentricular Heart (UVH) palliation.
The prediction of the morphological changes in the vascular system, as consequences of growth and modifications induced by the surgical procedures, will be achieved by a state-of-the-art artificial intelligence technology based on the generative adversarial neural networks.
The project will make use of freely available specialised software, such as CRIMSON, SimVascular, VMTK, for image segmentation and geometry meshing, enhanced by advanced image segmentation software and novel geometric rendering of vascular alterations from surgery based on advanced parametric surface classes. New Computational Fluid Dynamics (CFD) approaches based on polyhedral discretisations will be developed for computational turnaround speedup and reduction of highly skilled time-consuming human intervention at the meshing stage. In particular, three incremental CFD solver will be released, of increasing fidelity, based on novel polytopic 3D meshes of the vessels, pipe-like curvilinear elements designed to reduce the computational costs inherent to standard 3D meshing, inclusion of fluid-structure interaction phenomena modelling compliant vessels.

Planned Impact

Impact on children's health: LOTUS will directly help about one in every thousand children, who is born with a functionally univentricular heart (UVH) condition. Even with palliation, these children have poor life expectancy. Co-morbidities, economic hardship, and limited health-care resources give scope for the greatest improvement in DAC countries.
Through its unique combination of Malaysian medical data & clinical practice, with UK UVH modelling & long-term appraisal techniques, LOTUS is set to improve the long-term prognosis of children with UVH both in Malaysia and worldwide. This will deliver a step change in medical practice. Specifically, it will create a computer-assist aid for determining the best individualised treatment based on the impact of paediatric surgery in the long-term.
Impact on application of machine learning to UVH conditions: The impact of decisions made during surgery over a patient's life is poorly understood. Combining the available data from CT and MRI scans from USM (throughout a patient's life) with machine learning will allow the ageing of a new patient's pulmonary vasculature over time. This scientific advance pushes the boundaries of the state-of-the-art use of machine learning and artificial intelligence in UVH condition monitoring and prognosis. In fact, once this ageing can be predicted, multi-objective optimisation will deliver a surgical design that will improve the patient's prospects in both the short and long term.
Impact on CFD modelling of UVH vascular system: This project will make use of and extend novel CFD techniques on polyhedral meshes that will significantly reduce the time taken to carry out the simulations and hence make the multi-objective optimisation tractable over a time-frame suitable for surgeons' decision making. Disseminated through journal publications, these state-of-the-art advances will benefit the bioengineering modelling community.
Impact on healthcare professionals: A specific workpackage is dedicated to delivering impact in DAC healthcare by providing training to USM personnel for the introduction of CFD tools for surgery optimisation. The software will be made freely avilable and documentation and training materials will be provided so that surgeons and, hence, patients throughout the world will benefit from its use.
Impact on early stage researcher career: The PDRA employed in this project will acquire skills in line with the MRC skill priorities list. Importantly they will gain experience in advanced CFD (AptoFEM), modelling of the pulmonary vasculature (Crimson), machine learning and artificial intelligence, as well as understanding of the medical aspects of the project. They will also benefit from the interdisciplinary nature of the project, which combines medical imaging, surgery, computational mathematics and engineering. The PDRA will improve their management and project organisation skills, will work independently and develop presentation and communication skills, by presenting at both clinical and mathematical conferences. All these, combined with the wide range of supplementary courses on offer within the University, and elsewhere (British Science Association, Royal Society), will positively impact on the future career prospects of the PDRA and ensure they become a future research leader. The PI and Co-Is will benefit by establishing fruitful collaborations between disciplines in the life and physical sciences.
Impact on economy and on welfare: Each child with a UVH condition requires through-life support and follow-up. The condition limits the young adult's productivity due to death typically occurring in their 20's. LOTUS' through-life personalized optimization of treatment stands to decrease the later-life morbidity, support needs, increase life expectancy, and therefore adult life productivity. Bettering the quality of life conditions will reduce the welfare dependency of UVH treated children in adulthood.
 
Description Within this project we have worked very closely with clinicians in Malaysia to understand how best to optimise the so-called Fontan procedure which is performed on children who are born with a univentricular heart defect. Within this project we have developed novel discontinuous Galerkin methods which are employed to discretise the underlying partial differential equation model; here we exploit the incompressible Navier-Stokes equations, coupled to a so-called fluid structure interaction model which is capable of simulating small displacements in the walls of the underlying vessels. Geometries supplied by our clinical colleagues have been processed using CAD software in order to facilitate the generation of a computational mesh which is required for our numerical solver. To improve the solver efficiency we have developed novel techniques exploiting general polytopic meshing. By solving an additional `tracer' equation, we can determine the amount of blood which is transported to each lung; by utilising this and other biomarkers, our simulations aim to help to inform surgery to improve the outcomes of the patients.
Exploitation Route By working closely with clinicians we have developed a computational tool which can model the flow of blood to the lungs for patients suffering from a univentricular heart defect. Moreover, based on these simulations we can also compute surgeon-informed biomarkers which provide essential insight regarding the planning of surgical interventions. This is absolutely vital in order to improve the long term outcomes of such surgery. We are extremely excited that the work we have developed will lead to significant impact within the medical community. Future work could include the use of shape optimisation techniques which are capable of providing finer-grain detailed information for clinicians; this is an area within which we hope to secure future research funding.
Sectors Healthcare

 
Description The computational tool we have developed during this project has provided surgeons real insight into how the blood flows into the lungs after the Fontan procedure has been undertaken. Moreover, by computing surgeon-informed biomarkers, clinicians are gaining understanding regarding how best to undertake surgery. This is still at a very early stage, but we hope with further collaboration with our clinical partners, we can develop higher-fidelity computational models which can provide more detailed information, for example, by including shape optimisation techniques.
First Year Of Impact 2023
Sector Healthcare
 
Title Patient Phenotyping 
Description As part of the work in phenotyping the patients under the care of our collaborating clinicians, we have designated each patient into four archetypal categories which represent the surgical stage of each patient. These range from the inhomogeneous, pre-operation stage to the homogeneous, post-Fontan surgery. Alongside this, we have represented each patient category in the database with a blood flow diagram. 
Type Of Material Data analysis technique 
Year Produced 2021 
Provided To Others? No  
Impact The impact has been the simple identification of general hemodynamic properties of each patient based on the category. The result of this is the simple generation of reduced-order models which govern the hemodynamics of each patient. This will eventually allow for the prediction of clinically significant hemodynamic quantities in these patients, guiding surgeons on future surgeries. 
 
Description Anisotropic adaptivity 
Organisation Polytechnic University of Milan
Country Italy 
Sector Academic/University 
PI Contribution Development of discontinuous Galerkin method for advection-diffusion-reaction equations.
Collaborator Contribution New recovery-based anisotropic error estimator and metric-based algorithm for mesh adaptation for both steady and unsteady problems.
Impact N. Ferro, S. Perotto, A. Cangiani, An Anisotropic Recovery-Based Error Estimator for Adaptive Discontinuous Galerkin Methods. Journal of Scientific Computing, 90, 45, 2022.
Start Year 2020
 
Description CFD study of physiological Fontan circulation 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other audiences
Results and Impact Poster presented at Virtual Physiological Human (VPH) 2020
Year(s) Of Engagement Activity 2020
 
Description Invited Plenary Talk "Arbitrary element numerical modelling in biomedicine" 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other audiences
Results and Impact Invited plenary talk (one of six) delivered at one-day "Imaging meets computational PDEs" workshop, University of Bath, 17/09/2020.
Year(s) Of Engagement Activity 2020
URL https://sites.google.com/view/imaging-pde-2020
 
Description Invited talk "Discontinuous Galerkin methods with arbitrary elements" 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other audiences
Results and Impact Invited talk at World Congress on Computational Mechanics and ECCOMAS conference Minisymposium on "Certification of simulations and model adaptation" held virtually 11-15/01/2021.
Year(s) Of Engagement Activity 2021
URL https://virtual.wccm-eccomas2020.org/
 
Description hp-VERSION DISCONTINUOUS GALERKIN METHODS ON ESSENTIALLY ARBITRARY-SHAPED ELEMENTS 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other audiences
Results and Impact Invited talk at ICOSAHOM conference.
Year(s) Of Engagement Activity 2021
URL https://www.icosahom2020.org/
 
Description hp-version space-time discontinuous Galerkin methods on general 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other audiences
Results and Impact Invited plenary talk at Oberwolfach Workshop on Space-Time Methods for Time-Dependent Partial Differential Equations.
Year(s) Of Engagement Activity 2022
URL https://www.mfo.de/occasion/2206/www_view