Numerical simulation and fast method for the 0D‐1D multi‐scale coupled model and its application in ischemic brain tissue blood flow problems

As living standards rise, more and more people are paying attention to their own health, especially issues such as cerebral thrombosis, cerebral infarction, and other cerebral blood flow problems. An accurate simulation of blood flow within cerebral vessels has emerged as a crucial area of research....

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Bibliographic Details
Published in:International journal for numerical methods in biomedical engineering Vol. 40; no. 6; pp. e3828 - n/a
Main Authors: Liu, Yi, Jia, Junqing, Zeng, Fanhai, Jiang, Xiaoyun
Format: Journal Article
Language:English
Published: Hoboken, USA John Wiley & Sons, Inc 01.06.2024
Wiley Subscription Services, Inc
Subjects:
Accuracy
Algorithms
Blood flow
Blood pressure
Blood vessels
Brain
Brain - blood supply
Brain Ischemia - physiopathology
Cerebral blood flow
Cerebral infarction
Cerebrovascular Circulation - physiology
Computational neuroscience
Computer Simulation
fast method
Finite Element Analysis
Finite element method
Flow simulation
geometric multi‐scale coupled model
Humans
Intracranial pressure
Intracranial Pressure - physiology
Ischemia
ischemic cerebral tissue blood flow
Mathematical models
Microcirculation - physiology
Models, Cardiovascular
Numerical methods
Pressure effects
Runge-Kutta method
Simulation
Stenosis
Thromboembolism
Thrombosis
ischemic cerebral tissue blood flow
geometric multi‐scale coupled model
Runge–Kutta method
fast method
finite element method
ISSN:2040-7939, 2040-7947, 2040-7947
Online Access:Get full text
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Summary:As living standards rise, more and more people are paying attention to their own health, especially issues such as cerebral thrombosis, cerebral infarction, and other cerebral blood flow problems. An accurate simulation of blood flow within cerebral vessels has emerged as a crucial area of research. In this study, we focus on microcirculatory blood flow in ischemic brain tissue and employ a 0D‐1D geometric multi‐scale coupled model to characterize this process. Given the intricate nature of human cerebral vessels, we apply a numerical method combining the finite element method and the third‐order Runge–Kutta method to resolve the coupled model. To enhance computational efficiency, we introduce a fast method based on the reduced‐order extrapolation algorithm. Our numerical example underscores the stability of the method and convergence accuracy to Oh3+τ3, while significantly improving the accuracy and efficiency of blood flow simulation, making the mechanism analysis more accurate. Additionally, we present examples detailing variations and distribution of intracranial pressure and blood flow in ischemic brain tissue throughout a cardiac cycle. Both reduced vascular compliance and vascular stenosis can have adverse effects on intracranial cerebral pressure and blood flow, leading to insufficient local oxygen supply and negative effects on brain function. Meanwhile, there will also be corresponding changes in volume flow and pulsatile blood pressure. Numerical simulation and fast method for the 0D‐1D multi‐scale coupled model and its application in ischemic brain tissue blood flow problems.
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ISSN:2040-7939
2040-7947
2040-7947
DOI:10.1002/cnm.3828