scholarly journals A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling

2015 ◽  
Vol 31 (10) ◽  
pp. e02732 ◽  
Author(s):  
Etienne Boileau ◽  
Perumal Nithiarasu ◽  
Pablo J. Blanco ◽  
Lucas O. Müller ◽  
Fredrik Eikeland Fossan ◽  
...  
Keyword(s):  
Blood Flow ◽  
Arterial Blood Flow ◽  
Numerical Schemes ◽  
One Dimensional ◽  
Flow Modelling ◽  
Benchmark Study ◽  
Arterial Blood

scholarly journals Optimization of topological complexity for one-dimensional arterial blood flow models

2018 ◽  
Vol 15 (149) ◽  
pp. 20180546 ◽  
Author(s):  
Fredrik E. Fossan ◽  
Jorge Mariscal-Harana ◽  
Jordi Alastruey ◽  
Leif R. Hellevik
Keyword(s):  
Blood Flow ◽  
Pulse Pressure ◽  
Arterial System ◽  
Arterial Blood Flow ◽  
Patient Specific ◽  
Flow Measurements ◽  
One Dimensional ◽  
Flow Models ◽  
Arterial Blood ◽  
Blood Flow Models

As computational models of the cardiovascular system are applied in modern personalized medicine, maximizing certainty of model input becomes crucial. A model with a high number of arterial segments results in a more realistic description of the system, but also requires a high number of parameters with associated uncertainties. In this paper, we present a method to optimize/reduce the number of arterial segments included in one-dimensional blood flow models, while preserving key features of flow and pressure waveforms. We quantify the preservation of key flow features for the optimal network with respect to the baseline networks (a 96-artery and a patient-specific coronary network) by various metrics and quantities like average relative error, pulse pressure and augmentation pressure. Furthermore, various physiological and pathological states are considered. For the aortic root and larger systemic artery pressure waveforms a network with minimal description of lower and upper limb arteries and no cerebral arteries, sufficiently captures important features such as pressure augmentation and pulse pressure. Discrepancies in carotid and middle cerebral artery flow waveforms that are introduced by describing the arterial system in a minimalistic manner are small compared with errors related to uncertainties in blood flow measurements obtained by ultrasound.

scholarly journals A one-dimensional model of agent propagation in arterial blood flow

2018 ◽  
Vol 136 ◽  
pp. 416-424
Author(s):  
Andrey Svitenkov ◽  
Ivan Pavlov ◽  
Sergey Chivilikhin
Keyword(s):  
Blood Flow ◽  
Arterial Blood Flow ◽  
Dimensional Model ◽  
One Dimensional ◽  
Arterial Blood

A note on the solution of the one-dimensional unsteady equations of arterial blood flow by the method of characteristics

1979 ◽  
Vol 21 (1) ◽  
pp. 45-52 ◽  
Author(s):  
L. K. Forbes
Keyword(s):  
Blood Flow ◽  
Method Of Characteristics ◽  
Arterial Blood Flow ◽  
Aortic Blood Flow ◽  
Numerical Accuracy ◽  
One Dimensional ◽  
Flow Models ◽  
Arterial Blood ◽  
Blood Flow Models ◽  
The One

AbstractThe “Hartree hybrid method” has recently been employed in one-dimensional non-linear aortic blood-flow models, and the results obtained appear to indicate that shock-waves could only form in distances which exceed physiologically meaningful values. However, when the same method is applied with greater numerical accuracy to these models, the existence of a shock-wave in the vicinity of the heart is predicted. This appears to be contrary to present belief.

scholarly journals Coupling one-dimensional arterial blood flow to three-dimensional tissue perfusion models for in silico trials of acute ischaemic stroke

2020 ◽  
Vol 11 (1) ◽  
pp. 20190125 ◽  
Author(s):  
Raymond M. Padmos ◽  
Tamás I. Józsa ◽  
Wahbi K. El-Bouri ◽  
Praneeta R. Konduri ◽  
Stephen J. Payne ◽  
...  
Keyword(s):  
Blood Flow ◽  
Ischaemic Stroke ◽  
Brain Tissue ◽  
Acute Ischaemic Stroke ◽  
Tissue Perfusion ◽  
Arterial Blood Flow ◽  
Patient Specific ◽  
Pial Surface ◽  
One Dimensional ◽  
Arterial Blood

An acute ischaemic stroke is due to the sudden blockage of an intracranial blood vessel by an embolized thrombus. In the context of setting up in silico trials for the treatment of acute ischaemic stroke, the effect of a stroke on perfusion and metabolism of brain tissue should be modelled to predict final infarcted brain tissue. This requires coupling of blood flow and tissue perfusion models. A one-dimensional intracranial blood flow model and a method to couple this to a brain tissue perfusion model for patient-specific simulations is presented. Image-based patient-specific data on the anatomy of the circle of Willis are combined with literature data and models for vessel anatomy not visible in the images, to create an extended model for each patient from the larger vessels down to the pial surface. The coupling between arterial blood flow and tissue perfusion occurs at the pial surface through the estimation of perfusion territories. The coupling method is able to accurately estimate perfusion territories. Finally, we argue that blood flow can be approximated as steady-state flow at the interface between arterial blood flow and tissue perfusion to reduce the cost of organ-scale simulations.

Modeling Elastic Walls in Lattice Boltzmann Simulations of Arterial Blood Flow

2013 ◽  
Vol 23 (2) ◽  
Author(s):  
Xenia Descovich ◽  
Giuseppe Pontrelli ◽  
Sauro Succi ◽  
Simone Melchionna ◽  
Manfred Bammer
Keyword(s):  
Blood Flow ◽  
Lattice Boltzmann ◽  
Arterial Blood Flow ◽  
Arterial Blood ◽  
Lattice Boltzmann Simulations ◽  
Elastic Walls
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