Flow-splitting-based computation of outlet boundary conditions for improved cerebrovascular simulation in multiple intracranial aneurysms

Image-based hemodynamic simulations have great potential for precise blood flow predictions in intracranial aneurysms. Due to model assumptions and simplifications with respect to boundary conditions, clinical acceptance remains limited. Within this study, we analyzed the influence of outflow-splitting approaches on multiple aneurysm studies and present a new outflow-splitting approach that takes the precise morphological vessel cross sections into account. We provide a detailed comparison of five outflow strategies considering eight intracranial aneurysms: zero-pressure configuration (1), a flow splitting inspired by Murray’s law with a square (2) and a cubic (3) vessel diameter, a flow splitting incorporating vessel bifurcations based on circular vessel cross sections (4) and our novel flow splitting including vessel bifurcations and anatomical vessel cross sections (5). Other boundary conditions remain constant. For each simulation and each aneurysm, we conducted an evaluation based on common hemodynamic parameters, e.g., normalized wall shear stress and inflow concentration index. The comparison of five outflow strategies for image-based simulations shows a large variability regarding the parameters of interest. Qualitatively, our strategy based on anatomical cross sections yields a more uniform flow rate distribution with increased aneurysm inflow rates. The commonly used zero-pressure approach shows the largest variations, especially for more distal aneurysms. A rank ordering of multiple aneurysms in one patient might still be possible, since the ordering appeared to be independent of the outflow strategy. The results reveal that outlet boundary conditions have a crucial impact on image-based blood flow simulations, especially for multiple aneurysm studies. We could confirm the advantages of the more complex outflow-splitting model (4) including an incremental improvement (5) compared to strategies (1), (2) and (3) for this application scenario. Furthermore, we discourage from using zero-pressure configurations that lack a physiological basis.

[1]  Kohei Aoki,et al.  Accurate determination of patient‐specific boundary conditions in computational vascular hemodynamics using 3D cine phase‐contrast MRI , 2013, International journal for numerical methods in biomedical engineering.

[2]  David A Steinman,et al.  The Computational Fluid Dynamics Rupture Challenge 2013--Phase II: Variability of Hemodynamic Simulations in Two Intracranial Aneurysms. , 2015, Journal of biomechanical engineering.

[3]  C D Murray,et al.  The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume. , 1926, Proceedings of the National Academy of Sciences of the United States of America.

[4]  G. Janiga,et al.  Cerebral blood flow in a healthy Circle of Willis and two intracranial aneurysms: computational fluid dynamics versus four-dimensional phase-contrast magnetic resonance imaging. , 2014, Journal of biomechanical engineering.

[5]  C Chnafa,et al.  Improved reduced-order modelling of cerebrovascular flow distribution by accounting for arterial bifurcation pressure drops. , 2017, Journal of biomechanics.

[6]  C Chnafa,et al.  Better Than Nothing: A Rational Approach for Minimizing the Impact of Outflow Strategy on Cerebrovascular Simulations , 2017, American Journal of Neuroradiology.

[7]  David A. Steinman,et al.  An image-based modeling framework for patient-specific computational hemodynamics , 2008, Medical & Biological Engineering & Computing.

[8]  A. Annadhason Medical Image Analysis , 2011 .

[9]  Thomas Wagner,et al.  Multiple Aneurysms AnaTomy CHallenge 2018 (MATCH): Phase I: Segmentation , 2018, Cardiovascular Engineering and Technology.

[10]  J. Mocco,et al.  Hemodynamic–Morphologic Discriminants for Intracranial Aneurysm Rupture , 2011, Stroke.

[11]  Bongjae Chung,et al.  CFD for Evaluation and Treatment Planning of Aneurysms: Review of Proposed Clinical Uses and Their Challenges , 2014, Annals of Biomedical Engineering.

[12]  David A. Steinman,et al.  Robust and objective decomposition and mapping of bifurcating vessels , 2004, IEEE Transactions on Medical Imaging.

[13]  A. Algra,et al.  Incidence of subarachnoid hemorrhage: role of region, year, and rate of computed tomography: a meta-analysis. , 1996, Stroke.

[14]  Shigeo Wada,et al.  Minimizing the blood velocity differences between phase-contrast magnetic resonance imaging and computational fluid dynamics simulation in cerebral arteries and aneurysms , 2017, Medical & Biological Engineering & Computing.

[15]  Hans-Christian Hege,et al.  Multiple Aneurysms AnaTomy CHallenge 2018 (MATCH): uncertainty quantification of geometric rupture risk parameters , 2019, BioMedical Engineering OnLine.

[16]  F. Nicoud,et al.  Intracranial Aneurysmal Pulsatility as a New Individual Criterion for Rupture Risk Evaluation: Biomechanical and Numeric Approach (IRRAs Project) , 2014, American Journal of Neuroradiology.

[17]  Bernhard Preim,et al.  Reconstruction of 3D Surface Meshes for Bood Flow Simulations of Intracranial Aneurysms , 2015, CURAC.

[18]  Fernando Mut,et al.  Development and internal validation of an aneurysm rupture probability model based on patient characteristics and aneurysm location, morphology, and hemodynamics , 2018, International Journal of Computer Assisted Radiology and Surgery.

[19]  C. Putman,et al.  Quantitative Characterization of the Hemodynamic Environment in Ruptured and Unruptured Brain Aneurysms , 2010, American Journal of Neuroradiology.

[20]  D. Steinman,et al.  Estimation of Inlet Flow Rates for Image-Based Aneurysm CFD Models: Where and How to Begin? , 2015, Annals of Biomedical Engineering.

[21]  Bernhard Preim,et al.  Fluid-Structure Simulations of a Ruptured Intracranial Aneurysm: Constant versus Patient-Specific Wall Thickness , 2016, Comput. Math. Methods Medicine.

[22]  Philipp Berg,et al.  Multiple Aneurysms AnaTomy CHallenge 2018 (MATCH)—Phase Ib: Effect of morphology on hemodynamics , 2019, PloS one.