Mathematical Modeling of Blood Flow in the Cardiovascular System

2018 ◽  
pp. 45-70 ◽  
Author(s):  
Alfonso Caiazzo ◽  
Irene E. Vignon-Clementel
Keyword(s):  
Mathematical Modeling ◽  
Blood Flow ◽  
Cardiovascular System

Mathematical modeling of blood flow

2012 ◽  
Author(s):  
Md. Shoaibur Rahman ◽  
Md. Aynal Haque
Keyword(s):  
Mathematical Modeling ◽  
Blood Flow

scholarly journals Mathematical Modeling on Blood flow through a stenosed artery with Heat Transfer under the Impact of Slip condition

2021 ◽  
Vol 1850 (1) ◽  
pp. 012127
Author(s):  
D. Karthikeyan ◽  
V. Kavitha ◽  
R. Sathishkumar
Keyword(s):  
Mathematical Modeling ◽  
Heat Transfer ◽  
Blood Flow ◽  
Slip Condition ◽  
Stenosed Artery ◽  
Flow Through ◽  
The Impact

Mathematical Modeling of Blood Flow in the Eye

2019 ◽  
pp. 101-157 ◽  
Author(s):  
Julia Arciero ◽  
Lucia Carichino ◽  
Simone Cassani ◽  
Giovanna Guidoboni
Keyword(s):  
Mathematical Modeling ◽  
Blood Flow

Mathematical Modeling of the Blood Flow in Hepatic Vessels

2019 ◽  
Vol 30 (4) ◽  
pp. 364-377
Author(s):  
T. R. Zhaleev ◽  
V. A. Kubyshkin ◽  
S. I. Mukhin ◽  
A. F. Rubina ◽  
A. B. Khrulenko
Keyword(s):  
Mathematical Modeling ◽  
Blood Flow ◽  
Hepatic Vessels

scholarly journals A plumber’s guide to the cardiovascular system

2020 ◽  
Vol 44 (2) ◽  
pp. 163-168 ◽  
Author(s):  
Shannon E. Washburn ◽  
Randolph H. Stewart
Keyword(s):  
Heart Failure ◽  
Heart Rate ◽  
Blood Flow ◽  
Cardiovascular System ◽  
Interactive Teaching ◽  
Teaching Laboratory ◽  
Clinical Correlates ◽  
Student Volunteers ◽  
Flow Through ◽  
Student Discussion

Blood flow through the cardiovascular system is governed by the same physical rules that govern the flow of water through domestic plumbing. Using this analogy in a teaching laboratory, a model of the cardiovascular system constructed of pumps and pipes was used to demonstrate the basic interactions of pressure, flow, and resistance in a regulated system, with student volunteers providing the operational actions and regulatory components. The model was used to validate predictions and explore solutions prompted by student discussion. This interactive teaching laboratory provides an engaging experiential exercise that demonstrates regulation of flow and pressure in an intact cardiovascular system with apposite changes in heart rate and resistance. In addition, the system provides strong clinical correlates and illustrates how that regulated system responds to challenges such as heart failure, inappropriate vasodilation, and hemorrhage. The results demonstrate that, with limited practice, the instructor can effectively guide the students to reliably reproduce physiologically appropriate results.

Measurement of Blood Flow and Perfusion in the Cardiovascular System

1992 ◽  
Vol 27 ◽  
pp. S66-S71 ◽  
Author(s):  
CHARLES B. HIGGINS ◽  
GARY CAPUTO ◽  
MICHAEL F. WENDLAND ◽  
MAYTHEM SAEED
Keyword(s):  
Blood Flow ◽  
Cardiovascular System

scholarly journals Computational Modeling of Blood Hydrodynamics and Blockage Formation Phenomena in the Human Cardiovascular System

2010 ◽  
Vol 4 (2) ◽  
Author(s):  
Adrian Tentner ◽  
Georgy Guria ◽  
Andrey Ioilev ◽  
Simon Lo ◽  
Andros Onoufriou ◽  
...  
Keyword(s):  
Blood Flow ◽  
Porous Media ◽  
Cardiovascular System ◽  
Circulatory System ◽  
System Model ◽  
Porous Media Flow ◽  
Cfd Model ◽  
Human Cardiovascular System ◽  
Organ Models ◽  
The Impact

An international collaborative effort to develop a computational fluid dynamics (CFD) model of the human cardiovascular system (HCVS) has been initiated in 2008. The HCVS model is designed to describe (a) the blood flow hydrodynamics and associated heat transport phenomena, (b) the blood flow interactions with the essential organs, and (c) the vessel blockage formation associated with atherosclerosis and thrombosis. The CFD-HCVS model is being developed as a new specialized software module using as a foundation the CFD code, STAR-CD, that is developed and distributed by CD-adapco, Ltd., a member of the project team. The CFD-HCVS module includes the following components and capabilities. (1) A simplified 3D coarse mesh CFD model of the HCVS, which allows the simulation of hemodynamic transient phenomena. The circulatory system model is closed with porous-media flow components having a hydraulic resistance equivalent to the lumped flow resistance of the smaller vessels, including microcirculation. Both hydrodynamic and thermodynamic phenomena are described, allowing the study of blood flow transients in the presence of temperature changes. (2) Simplified zero-dimensional models of the essential organs (e.g., heart, kidneys, brain, liver, etc.) describing the time-dependent consumption or production of various blood components of interest. The organ models exchange information with the CFD system model through interfaces designed to allow their replacement, in the future, with more complex 3D organ models. (3) Selected sections of the circulatory system can be replaced by realistic 3 fine mesh vessel models allowing the detailed study of the 3D blood flow field and the vascular geometry changes due to blockage formation. (4) Models of local blockage formation due to atherosclerosis and thrombosis. Three HCVS models of increasing complexity have been designed. These models contain 27 vessels, 113 vessels, and 395 vessels. The initial CFD-HCVS model development is based on the medium HCVS model with 113 vessels. A closed circuit CFD model describing the major vessels and containing 0D models of the heart and kidneys has been developed. The CFD-HCVS model includes porous-media models describing the blood flow in the smaller vessels and capillaries. Initial simulations show that the calculated blood flow rates in the vessels modeled are in reasonably good agreement with the corresponding physiological values. A simplified model of thrombosis has also been developed. Current development efforts are focused on the addition of new vessels and 0D organ models and the development of atherosclerosis models. The HCVS model provides a flexible and expandable modeling framework that will allow the researchers from universities, research hospitals and the medical industry to study the impact of a wide range of phenomena associated with diseases of the circulatory system and will help them develop new diagnostics and treatments.

Sign in / Sign up

Export Citation Format

Share Document