A flexible framework for sequential estimation of model parameters in computational hemodynamics
Open Access
- 2 December 2020
- journal article
- research article
- Published by Springer Science and Business Media LLC in Advanced Modeling and Simulation in Engineering Sciences
- Vol. 7 (1), 1-37
- https://doi.org/10.1186/s40323-020-00186-x
Abstract
A major challenge in constructing three dimensional patient specific hemodynamic models is the calibration of model parameters to match patient data on flow, pressure, wall motion, etc. acquired in the clinic. Current workflows are manual and time-consuming. This work presents a flexible computational framework for model parameter estimation in cardiovascular flows that relies on the following fundamental contributions. (i) A Reduced-Order Unscented Kalman Filter (ROUKF) model for data assimilation for wall material and simple lumped parameter network (LPN) boundary condition model parameters. (ii) A constrained least squares augmentation (ROUKF-CLS) for more complex LPNs. (iii) A “Netlist” implementation, supporting easy filtering of parameters in such complex LPNs. The ROUKF algorithm is demonstrated using non-invasive patient-specific data on anatomy, flow and pressure from a healthy volunteer. The ROUKF-CLS algorithm is demonstrated using synthetic data on a coronary LPN. The methods described in this paper have been implemented as part of the CRIMSON hemodynamics software package.Keywords
Funding Information
- Wellcome Trust (204823/Z/16/Z)
- FP7 Ideas: European Research Council (FP/2007-2013)
- National Institutes of Health (R01 HL105297, U01HL135842)
This publication has 41 references indexed in Scilit:
- Physical determining factors of the arterial pulse waveform: theoretical analysis and calculation using the 1-D formulationJournal of Engineering Mathematics, 2012
- Three-Dimensional Simulations in Glenn Patients: Clinically Based Boundary Conditions, Hemodynamic Results and Sensitivity to Input DataJournal of Biomechanical Engineering, 2011
- Estimation of tissue contractility from cardiac cine-MRI using a biomechanical heart modelBiomechanics and Modeling in Mechanobiology, 2011
- External tissue support and fluid–structure simulation in blood flowsBiomechanics and Modeling in Mechanobiology, 2011
- Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteriesComputer Methods in Biomechanics and Biomedical Engineering, 2010
- A computational framework for fluid–solid-growth modeling in cardiovascular simulationsComputer Methods in Applied Mechanics and Engineering, 2009
- Analysing the pattern of pulse waves in arterial networks: a time-domain studyJournal of Engineering Mathematics, 2009
- Outflow Boundary Conditions for Arterial Networks with Multiple OutletsAnnals of Biomedical Engineering, 2008
- Blood Flow in the Circle of Willis: Modeling and CalibrationMultiscale Modeling & Simulation, 2008
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α MethodJournal of Applied Mechanics, 1993