Title
Robust image-based estimation of cardiac tissue parameters and their uncertainty from noisy data.
Abstract
Clinical applications of computational cardiac models require precise personalization, i.e. fitting model parameters to capture patient's physiology. However, due to parameter non-identifiability, limited data, uncertainty in the clinical measurements, and modeling assumptions, various combinations of parameter values may exist that yield the same quality of fit. Hence, there is a need for quantifying the uncertainty in estimated parameters and to ascertain the uniqueness of the found solution. This paper presents a stochastic method to estimate the parameters of an image-based electromechanical model of the heart and their uncertainty due to noise in measurements. First, Bayesian inference is applied to fully estimate the posterior probability density function (PDF) of the model. To that end, Markov Chain Monte Carlo sampling is used, which is made computationally tractable by employing a fast surrogate model based on Polynomial Chaos Expansion, instead of the true forward model. Then, we use the mean-shift algorithm to automatically find the modes of the PDF and select the most likely one while being robust to noise. The approach is used to estimate global active stress and passive stiffness from invasive pressure and image-based volume quantification. Experiments on eight patients showed that not only our approach yielded goodness of fits equivalent to a well-established deterministic method, but we could also demonstrate the non-uniqueness of the problem and report uncertainty estimates, crucial information for subsequent clinical assessments of the personalized models.
Year
DOI
Venue
2014
10.1007/978-3-319-10470-6_2
Lecture Notes in Computer Science
Field
DocType
Volume
Uniqueness,Bayesian inference,Pattern recognition,Markov chain Monte Carlo,Stiffness,Computer science,Algorithm,Surrogate model,Polynomial chaos,Artificial intelligence,Probability density function,Mixture model
Conference
8674
Issue
ISSN
Citations 
Pt 2
0302-9743
7
PageRank 
References 
Authors
0.88
8
12
Name
Order
Citations
PageRank
Dominik Neumann1839.40
Tommaso Mansi245445.94
Bogdan Georgescu31638138.49
Ali Kamen420825.52
Elham Kayvanpour5445.40
Ali Amr6425.35
Farbod Sedaghat-Hamedani7445.40
Jan Haas8708.23
Hugo A. Katus9486.14
Benjamin Meder10536.96
Joachim Hornegger111734190.62
Dorin Comaniciu128389601.83