@article {25498,
	title = {Effects of arterial wall models and measurement uncertainties on cardiovascular model predictions},
	journal = {Journal of Biomechanics},
	volume = {50},
	year = {2017},
	pages = {188--194},
	publisher = {Elsevier},
	abstract = {We developed a methodology to assess and compare the prediction quality of cardiovascular models for patient-specific simulations calibrated with uncertainty-hampered measurements. The methodology was applied in a one-dimensional blood flow model to estimate the impact of measurement uncertainty in wall model parameters on the predictions of pressure and flow in an arterial network. We assessed the prediction quality of three wall models that have been widely used in one-dimensional blood flow simulations. A 37-artery network, previously used in one experimental and several simulation studies, was adapted to patient-specific conditions with a set of three clinically measurable inputs: carotid{\textendash}femoral wave speed, mean arterial pressure and area in the brachial artery. We quantified the uncertainty of the predicted pressure and flow waves in eight locations in the network and assessed the sensitivity of the model prediction with respect to the measurements of wave speed, pressure and cross-sectional area. Furthermore, we developed novel time-averaged sensitivity indices to assess the contribution of model parameters to the uncertainty of time-varying quantities (e.g., pressure and flow). The results from our patient-specific network model demonstrated that our novel indices allowed for a more accurate sensitivity analysis of time-varying quantities compared to conventional Sobol sensitivity indices.},
	doi = {http://dx.doi.org/10.1016/j.jbiomech.2016.11.042},
	author = {Vinzenz Gregor {Eck} and Sturdy, Jacob and Leif Rune {Hellevik}}
}
@article {25499,
	title = {Modeling the differentiation of A- and C-type baroreceptor firing patterns},
	journal = {Journal of Computational Neuroscience},
	volume = {41},
	number = {1},
	year = {2017},
	pages = {11-30},
	publisher = {Springer},
	author = {Sturdy, Jacob and Johnny T. {Ottesen} and Mette S. {Olufsen}}
}
@article {23949,
	title = {A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications},
	journal = {International Journal for Numerical Methods in Biomedical Engineering},
	volume = {32},
	year = {2016},
	publisher = {John Wiley \& Sons},
	abstract = {As we shift from population-based medicine towards a more precise patient-specific regime guided by predictions of verified and well-established cardiovascular models, an urgent question arises: how sensitive are the model predictions to errors and uncertainties in the model inputs? To make our models suitable for clinical decision-making, precise knowledge of prediction reliability is of paramount importance. Efficient and practical methods for uncertainty quantification (UQ) and sensitivity analysis (SA) are therefore essential. In this work we explain the concepts of global UQ and global, variance-based SA along with two often-used methods that are applicable to any model without requiring model implementation changes: Monte Carlo (MC) and Polynomial Chaos (PC). Furthermore, we propose a guide for UQ and SA according to a six-step procedure and demonstrated it for two clinically relevant cardiovascular models: model-based estimation of the fractional flow reserve (FFR) and model-based estimation of the total arterial compliance (CT ). Both MC and PC produce identical results and may be used interchangeably to identify most significant model inputs with respect to uncertainty in model predictions of FFR and CT . However, PC is more cost efficient as it requires an order of magnitude fewer model evaluations than MC. Additionally, we demonstrate that targeted reduction of uncertainty in the most significant model inputs reduces the uncertainty in the model predictions efficiently. In conclusion, this article offers a practical guide to UQ and SA to help move the clinical application of mathematical models forward.},
	doi = {10.1002/cnm.2755},
	url = {http://onlinelibrary.wiley.com/doi/10.1002/cnm.2755/full},
	author = {Vinzenz Gregor {Eck} and W. P. {Donders} and Sturdy, Jacob and Feinberg, Jonathan and Delhaas, T. and Leif Rune {Hellevik}}
}
@inproceedings {23912,
	title = {Sensitivity Analysis and Uncertainty Quantification in a Wave Propagation Model: A Study of Uncertain Arterial Stiffness},
	journal = {4th International Conference on Computational and Mathematical Biomedical Engineering (CMBE), Paris, June 29-July 3},
	year = {2015},
	author = {Vinzenz Gregor {Eck} and Feinberg, Jonathan and Sturdy, Jacob and Hans Petter {Langtangen} and Leif Rune {Hellevik}},
	editor = {Nithiarasu and E. {Budyn}}
}
@misc {23913,
	title = {Sensitivity Analysis and Uncertainty Quantification in a Wave Propagation Model: A Study of Uncertain Arterial Stiffness},
	howpublished = {4th International Conference on Computational and Mathematical Biomedical Engineering, France},
	year = {2015},
	author = {Vinzenz Gregor {Eck} and Feinberg, Jonathan and Sturdy, Jacob and Hans Petter {Langtangen} and Leif Rune {Hellevik}}
}
@inproceedings {sturdy_towards_2015,
	title = {Towards robust clinical assessment of arterial compliance},
	journal = {28th Nordic Seminar on Computational Mechanics},
	year = {2015},
	month = {10/2015},
	pages = {171-174},
	publisher = {TUT, Tallinn},
	address = {Tallinn},
	url = {www.ioc.ee/nscm28/files/Proceedings_of_NSCM28.pdf},
	author = {Sturdy, Jacob and Vinzenz Gregor {Eck} and Feinberg, Jonathan and Hans Petter {Langtangen} and Leif Rune {Hellevik}}
}
@misc {24001,
	title = {Towards robust clinical assessment of arterial compliance},
	howpublished = {28th Nordic Seminar on Computational Mechanics},
	year = {2015},
	publisher = {TUT, Tallinn},
	address = {TUT, Tallinn},
	author = {Sturdy, Jacob and Vinzenz Gregor {Eck} and Feinberg, Jonathan and Hans Petter {Langtangen} and Leif Rune {Hellevik}}
}
@inproceedings {eck_uncertainty_2015,
	title = {Uncertainty quantification and sensitivity analysis for wave propagation models of the arterial systemic circulation},
	journal = {ICCB 2015, VI International Conference on Computational Bioengineering, Barcelona, 2015},
	year = {2015},
	author = {Vinzenz Gregor {Eck} and Feinberg, Jonathan and Sturdy, Jacob and Hans Petter {Langtangen} and Leif Rune {Hellevik}}
}
@inproceedings {sturdy_uncertainty_2015,
	title = {Uncertainty quantification of short term baroreflex regulation of blood pressure},
	journal = {CMBE15, 4th International Conference on Computational \& Mathematical Biomedical Engineering},
	year = {2015},
	month = {06/2015},
	publisher = {CMBE},
	address = {Ecol{\'e} Normale Sup{\'e}ieure de Cachan},
	author = {Sturdy, Jacob and Vinzenz Gregor {Eck} and Leif Rune {Hellevik}}
}
@inproceedings {sturdy_validation_2015,
	title = {A Validation of Coupling Carotid and Aortic Baroreflex Models to a 1D Blood Flow Model of the Systemic Arterial Tree},
	journal = {ICCB 2015, VI International Conference on Computational Bioengineering},
	year = {2015},
	month = {09/2015},
	publisher = {ICCB},
	address = {Barcelona},
	author = {Sturdy, Jacob and Vinzenz Gregor {Eck} and Leif Rune {Hellevik}}
}
