Lecturers and Sessions Description
Two short courses will be given in the following content: “3D and reduced order models of blood flow: the challenges of
patient-specific simulations” and “Deep-learning and mechanistic models complementarity: a few hemodynamics
applications”. Keywords: CFD, 0D models, POD, model coupling, parameter estimation, sensitivity analysis, unknown
mechanism modeling, synthetic vs patient geometry, model speed-up.
“Deep learning-based reduced order models for parametrized PDEs”. Deep-learning based ROMs for PDEs, applications in
cardiac electrophysiology, computational mechanics and fluid dynamics. Keywords: scientific machine learning, reduced
order modeling, neural networks, parametrized PDEs, life science applications.
"Inverse problems in lumped parameter models". Variational parameter estimation in ODEs, Sequential parameters
estimation in ODEs and 3D-0D coupled problems. Keywords: parameter estimation, clinical measurements, maximum
likelihood, numerical optimization.
“Automated Model Discovery: A Hands-on programming experience”. Brief history of constitutive modelling; Introduction to
constitutive neural networks; Overview of mechanical testing; Automated model discovery for biological systems; Hands-On
Programming Experience. Keywords: automated model discovery, constitutive neural networks, mechanical testing.
“Digital twins in cardiology: Bridging Mechanistic Modeling and Clinical Data for Personalized Medicine”. Fundamental
principles mechanistic modelling and simulation in digital twins; role of Ai physics informed ML; challenges in
biological digital twins; hands-on creation of electrophysiology simulations and digital twin creation. Keywords:
Phenomenological models, Bayesian inference, Modelling and simulation, Electrocardiogram, Digital twins, Jupyter
notebooks, Python
“Introduction to biomechanics and mechanobiology”, “the needs of reduced-order and data-driven models in biomechanics
and mechanobiology”, “Digital Twins in vascular medicine”, “Computational models of endovascular interventions”,
“Constitutive modelling of Soft tissues”, “Parameter identification using full-field optical measurements”;
“Machine-learning based virtual fields method”
“Linear and nonlinear dimensionality reduction in biomedical applications”. Keywords: kernel Proper Orthogonal
Decomposition; dimensionality reduction techniques; Principal Component Analysis; Reduced Basis approaches.
“Towards real time modelling of endovascular device deployment”. Introduction to endovascular devices; high fidelity
models of endovascular deployment using open-source software; non-intrusive reduced order modelling; patient
parametrization Keywords: beam modelling; corotational models; signed distance fields; non-intrusive reduced order
modelling; contact mechanics; patient-specific geometry parametrization
Suggested readings
Avril, S. (2017). Hyperelasticity of soft tissues and related inverse problems. Material parameter identification and
inverse problems in soft tissue biomechanics, 37-66.
Bertoglio, C., Moireau, P., & Gerbeau, J. F. (2012). Sequential parameter estimation for fluid–structure problems:
application to hemodynamics. International Journal for Numerical Methods in Biomedical Engineering, 28(4), 434-455.
Bisighini, B., Aguirre, M., Biancolini, M. E., Trovalusci, F., Perrin, D., Avril, S., & Pierrat, B. (2023). Machine
learning and reduced order modelling for the simulation of braided stent deployment. Frontiers in physiology, 14,
1148540.
Camps, J., Lawson, B., Drovandi, C., Minchole, A., Wang, Z. J., Grau, V., ... & Rodriguez, B. (2021). Inference of
ventricular activation properties from non-invasive electrocardiography. Medical Image Analysis, 73, 102143.
Díez, P., Muixí, A., Zlotnik, S., & García‐González, A. (2021). Nonlinear dimensionality reduction for parametric
problems: A kernel proper orthogonal decomposition. International Journal for Numerical Methods in Engineering, 122(24),
7306-7327.
Fresca, S., Dede’, L., & Manzoni, A. (2021). A comprehensive deep learning-based approach to reduced order modeling of
nonlinear time-dependent parametrized PDEs. Journal of Scientific Computing, 87, 1-36.
Fresca, S., & Manzoni, A. (2022). POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear
parametrized PDEs by proper orthogonal decomposition. Computer Methods in Applied Mechanics and Engineering, 388,
114181.
de Chou, R. S., Sinclair, M., Lynch, S., Xiao, N., Najman, L., Vignon-clementel, I., & Talbot, H. (2024). Finite Volume
Informed Graph Neural Network for Myocardial Perfusion Simulation. In Medical Imaging with Deep Learning.
Martonová, D., Peirlinck, M., Linka, K., Holzapfel, G. A., Leyendecker, S., & Kuhl, E. (2024). Automated model discovery
for human cardiac tissue: Discovering the best model and parameters. Computer Methods in Applied Mechanics and
Engineering, 428, 117078.
Nolte, D., & Bertoglio, C. (2022). Inverse problems in blood flow modeling: A review. International journal for
numerical methods in biomedical engineering, 38(8), e3613.
Peirlinck, M., Linka, K., Hurtado, J. A., & Kuhl, E. (2024). On automated model discovery and a universal material
subroutine for hyperelastic materials. Computer Methods in Applied Mechanics and Engineering, 418, 116534.
Vignon‐Clementel, I. E., & Pant, S. (2022). Patient‐specific Hemodynamic Simulations: Model Parameterization from
Clinical Data to Enable Intervention Planning. Biological Flow in Large Vessels: Dialog Between Numerical Modeling and
In Vitro/In Vivo Experiments, 139-161.