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Assessing model mismatch and model selection in a Bayesian uncertainty quantification analysis of a fluid-dynamics model of pulmonary blood circulation
This study uses Bayesian inference to quantify the uncertainty of model parameters and
haemodynamic predictions in a one-dimensional pulmonary circulation model based on an …
haemodynamic predictions in a one-dimensional pulmonary circulation model based on an …
[HTML][HTML] SECRET: Statistical Emulation for Computational Reverse Engineering and Translation with applications in healthcare
There have been impressive advances in the physical and mathematical modelling of
complex physiological systems in the last few decades, with the potential to revolutionise …
complex physiological systems in the last few decades, with the potential to revolutionise …
Uncertainty quantification of regional cardiac tissue properties in arrhythmogenic cardiomyopathy using adaptive multiple importance sampling
Introduction: Computational models of the cardiovascular system are widely used to
simulate cardiac (dys) function. Personalization of such models for patient-specific …
simulate cardiac (dys) function. Personalization of such models for patient-specific …
Markov chain Monte Carlo with Gaussian processes for fast parameter estimation and uncertainty quantification in a 1D fluid‐dynamics model of the pulmonary …
LM Paun, D Husmeier - International journal for numerical …, 2021 - Wiley Online Library
The past few decades have witnessed an explosive synergy between physics and the life
sciences. In particular, physical modelling in medicine and physiology is a topical research …
sciences. In particular, physical modelling in medicine and physiology is a topical research …
A physiologically realistic virtual patient database for the study of arterial haemodynamics
This study creates a physiologically realistic virtual patient database (VPD), representing the
human arterial system, for the primary purpose of studying the effects of arterial disease on …
human arterial system, for the primary purpose of studying the effects of arterial disease on …
Fast Posterior Estimation of Cardiac Electrophysiological Model Parameters via Bayesian Active Learning
Probabilistic estimation of cardiac electrophysiological model parameters serves an
important step toward model personalization and uncertain quantification. The expensive …
important step toward model personalization and uncertain quantification. The expensive …
Emulation-accelerated Hamiltonian Monte Carlo algorithms for parameter estimation and uncertainty quantification in differential equation models
LM Paun, D Husmeier - Statistics and Computing, 2022 - Springer
We propose to accelerate Hamiltonian and Lagrangian Monte Carlo algorithms by coupling
them with Gaussian processes for emulation of the log unnormalised posterior distribution …
them with Gaussian processes for emulation of the log unnormalised posterior distribution …
[PDF][PDF] Statistical inference for optimisation of drug delivery from stents
The current study employs state-of-the-art optimisation methods for estimation of unknown
parameters in a mathematical model of highly non-linear partial differential equations …
parameters in a mathematical model of highly non-linear partial differential equations …
Inference in cardiovascular modelling subject to medical interventions
Abstract Pulmonary hypertension (PH), ie, high blood pressure in the lungs, is a serious
medical condition that can damage the right ventricle of the heart and ultimately lead to heart …
medical condition that can damage the right ventricle of the heart and ultimately lead to heart …
Closed-loop effects in cardiovascular clinical decision support
D Husmeier, LM Paun - 2020 - eprints.gla.ac.uk
We have recently seen impressive methodological developments in quantitative
cardiovascular physiology and pathophysiology, with novel mathematical models for the …
cardiovascular physiology and pathophysiology, with novel mathematical models for the …