TY - JOUR
T1 - A novel analytical approach to pulsatile blood flow in the arterial network
AU - Flores, Joaquín
AU - Alastruey, Jordi
AU - Corvera Poiré, Eugenia
PY - 2016/5/2
Y1 - 2016/5/2
N2 - Haemodynamic simulations using one-dimensional (1-D) computational models exhibit many of the features of the systemic circulation under normal and diseased conditions. We propose a novel linear 1-D dynamical theory of blood flow in networks of flexible vessels that is based on a generalized Darcy's model and for which a full analytical solution exists in frequency domain. We assess the accuracy of this formulation in a series of benchmark test cases for which computational 1-D and 3-D solutions are available. Accordingly, we calculate blood flow and pressure waves, and velocity profiles in the human common carotid artery, upper thoracic aorta, aortic bifurcation, and a 20-artery model of the aorta and its larger branches. Our analytical solution is in good agreement with the available solutions and reproduces the main features of pulse waveforms in networks of large arteries under normal physiological conditions. Our model reduces computational time and provides a new approach for studying arterial pulse wave mechanics; e.g., the analyticity of our model allows for a direct identification of the role played by physical properties of the cardiovascular system on the pressure waves.
AB - Haemodynamic simulations using one-dimensional (1-D) computational models exhibit many of the features of the systemic circulation under normal and diseased conditions. We propose a novel linear 1-D dynamical theory of blood flow in networks of flexible vessels that is based on a generalized Darcy's model and for which a full analytical solution exists in frequency domain. We assess the accuracy of this formulation in a series of benchmark test cases for which computational 1-D and 3-D solutions are available. Accordingly, we calculate blood flow and pressure waves, and velocity profiles in the human common carotid artery, upper thoracic aorta, aortic bifurcation, and a 20-artery model of the aorta and its larger branches. Our analytical solution is in good agreement with the available solutions and reproduces the main features of pulse waveforms in networks of large arteries under normal physiological conditions. Our model reduces computational time and provides a new approach for studying arterial pulse wave mechanics; e.g., the analyticity of our model allows for a direct identification of the role played by physical properties of the cardiovascular system on the pressure waves.
U2 - 10.1007/s10439-016-1625-3
DO - 10.1007/s10439-016-1625-3
M3 - Article
C2 - 27138525
SN - 0090-6964
JO - Annals of Biomedical Engineering
JF - Annals of Biomedical Engineering
ER -
