Boundary conditions for hemodynamics: The structured tree revisited
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[1] 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.
[2] G. Karniadakis,et al. Outflow Boundary Conditions for Arterial Networks with Multiple Outlets , 2008, Annals of Biomedical Engineering.
[3] Alfio Quarteroni,et al. Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs , 2005, Multiscale Model. Simul..
[4] S. Sherwin,et al. Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows. , 2007, Journal of biomechanics.
[5] Robin Fåhræus,et al. THE VISCOSITY OF THE BLOOD IN NARROW CAPILLARY TUBES , 1931 .
[6] Alfio Quarteroni,et al. Computational vascular fluid dynamics: problems, models and methods , 2000 .
[7] C. D. Murray. THE PHYSIOLOGICAL PRINCIPLE OF MINIMUM WORK APPLIED TO THE ANGLE OF BRANCHING OF ARTERIES , 1926, The Journal of general physiology.
[8] Sandro Rossitti,et al. Vascular Dimensions of the Cerebral Arteries Follow the Principle of Minimum Work , 1993, Stroke.
[9] M. Gharib,et al. A Physiologically Relevant, Simple Outflow Boundary Model for Truncated Vasculature , 2011, Annals of Biomedical Engineering.
[10] Michel Verhaegen,et al. Estimation of Three- and Four-Element Windkessel Parameters Using Subspace Model Identification , 2010, IEEE Transactions on Biomedical Engineering.
[11] M. Olufsen,et al. Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions , 2000, Annals of Biomedical Engineering.
[12] George Em Karniadakis,et al. Simulation of the human intracranial arterial tree. , 2009, Philosophical transactions. Series A, Mathematical, physical, and engineering sciences.
[13] C A Taylor,et al. Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries , 2010, Computer methods in biomechanics and biomedical engineering.
[14] Spencer J. Sherwin,et al. Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system , 2003 .
[15] S. Čanić,et al. Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi‐symmetric vessels , 2003 .
[16] Mette S. Olufsen,et al. Modeling the arterial system with reference to an anesthesia simulator , 1998 .
[17] H. Uylings,et al. Optimization of diameters and bifurcation angles in lung and vascular tree structures. , 1977, Bulletin of mathematical biology.
[18] John A. Nelder,et al. A Simplex Method for Function Minimization , 1965, Comput. J..
[19] D. Marquardt. An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .
[20] N. Suwa,et al. Estimation of intravascular blood pressure gradient by mathematical analysis of arterial casts. , 1963, The Tohoku journal of experimental medicine.
[21] M. G. Taylor,et al. Wave transmission through an assembly of randomly branching elastic tubes. , 1966, Biophysical journal.
[22] Carl Tim Kelley,et al. Iterative methods for optimization , 1999, Frontiers in applied mathematics.
[23] S. Sherwin,et al. One-dimensional modelling of a vascular network in space-time variables , 2003 .
[24] A. Pries,et al. Resistance to blood flow in microvessels in vivo. , 1994, Circulation research.
[25] Peng Zhao,et al. Blood Flow in the Circle of Willis: Modeling and Calibration , 2008, Multiscale Model. Simul..