Relevant bibliographies by topics / Blood flow - Mathematical models

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Blood flow - Mathematical models'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Blood flow - Mathematical models"

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Nicosia, Sebastiano, and Giuseppe Pezzinga. "Mathematical models of blood flow in the arterial network." Journal of Hydraulic Research 45, no. 2 (March 2007): 188–201. http://dx.doi.org/10.1080/00221686.2007.9521759.

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Sankar, D. S., and K. Hemalatha. "Non-linear mathematical models for blood flow through tapered tubes." Applied Mathematics and Computation 188, no. 1 (May 2007): 567–82. http://dx.doi.org/10.1016/j.amc.2006.10.013.

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El Khatib, N., O. Kafi, A. Sequeira, S. Simakov, Yu Vassilevski, and V. Volpert. "Mathematical modelling of atherosclerosis." Mathematical Modelling of Natural Phenomena 14, no. 6 (2019): 603. http://dx.doi.org/10.1051/mmnp/2019050.

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The review presents the state of the art in the atherosclerosis modelling. It begins with the biological introduction describing the mechanisms of chronic inflammation of artery walls characterizing the development of atherosclerosis. In particular, we present in more detail models describing this chronic inflammation as a reaction-diffusion wave with regimes of propagation depending on the level of cholesterol (LDL) and models of rolling monocytes initializing the inflammation. Further development of this disease results in the formation of atherosclerotic plaque, vessel remodelling and possi
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Rzaev, E. A., S. R. Rasulov, and A. G. Rzaev. "Developing mathematical models for cardiovascular system functional assessments." Kazan medical journal 96, no. 4 (August 15, 2015): 681–85. http://dx.doi.org/10.17750/kmj2015-681.

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Aim. Development of mathematical models of circulation (considering anomaly in hemorheology) allowing to diagnose functional condition of vessels/cardiovascular system.
 Methods. Echocardiography, mathematical modeling, sedimentation and rheology laws, human mechanics and physiology methods were used for developing mathematical models.
 Results. The following mathematical models were obtained: for determination of colloid dispersive blood system viscosity, considering concentration of dispersive phase (blood cells) and blood structure formation; velocity of inconvenient blood cells s
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Farina, Angiolo, Antonio Fasano, and Fabio Rosso. "Mathematical Models for Some Aspects of Blood Microcirculation." Symmetry 13, no. 6 (June 6, 2021): 1020. http://dx.doi.org/10.3390/sym13061020.

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Blood rheology is a challenging subject owing to the fact that blood is a mixture of a fluid (plasma) and of cells, among which red blood cells make about 50% of the total volume. It is precisely this circumstance that originates the peculiar behavior of blood flow in small vessels (i.e., roughly speaking, vessel with a diameter less than half a millimeter). In this class we find arterioles, venules, and capillaries. The phenomena taking place in microcirculation are very important in supporting life. Everybody knows the importance of blood filtration in kidneys, but other phenomena, of not le
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Namani, Ravi, Yoram Lanir, Lik Chuan Lee, and Ghassan S. Kassab. "Overview of mathematical modeling of myocardial blood flow regulation." American Journal of Physiology-Heart and Circulatory Physiology 318, no. 4 (April 1, 2020): H966—H975. http://dx.doi.org/10.1152/ajpheart.00563.2019.

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The oxygen consumption by the heart and its extraction from the coronary arterial blood are the highest among all organs. Any increase in oxygen demand due to a change in heart metabolic activity requires an increase in coronary blood flow. This functional requirement of adjustment of coronary blood flow is mediated by coronary flow regulation to meet the oxygen demand without any discomfort, even under strenuous exercise conditions. The goal of this article is to provide an overview of the theoretical and computational models of coronary flow regulation and to reveal insights into the functio
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Ellwein, Laura M., Hien T. Tran, Cheryl Zapata, Vera Novak, and Mette S. Olufsen. "Sensitivity Analysis and Model Assessment: Mathematical Models for Arterial Blood Flow and Blood Pressure." Cardiovascular Engineering 8, no. 2 (December 15, 2007): 94–108. http://dx.doi.org/10.1007/s10558-007-9047-3.

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Sankar, D. S., and Yazariah Yatim. "Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries." Abstract and Applied Analysis 2012 (2012): 1–34. http://dx.doi.org/10.1155/2012/235960.

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Pulsatile flow of blood in narrow tapered arteries with mild overlapping stenosis in the presence of periodic body acceleration is analyzed mathematically, treating it as two-fluid model with the suspension of all the erythrocytes in the core region as non-Newtonian fluid with yield stress and the plasma in the peripheral layer region as Newtonian. The non-Newtonian fluid with yield stress in the core region is assumed as (i) Herschel-Bulkley fluid and (ii) Casson fluid. The expressions for the shear stress, velocity, flow rate, wall shear stress, plug core radius, and longitudinal impedance t
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Balazs, ALBERT, and PETRILA Titus. "Mathematical Models and Numerical Simulations for the Blood Flow in Large Vessels." INCAS BULLETIN 4, no. 4 (December 10, 2012): 3–10. http://dx.doi.org/10.13111/2066-8201.2012.4.4.1.

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ZAMAN, GUL, YONG HAN KANG, and IL HYO JUNG. "ORIENTATIONAL STRESS TENSOR OF POLYMER SOLUTION WITH APPLICATIONS TO BLOOD FLOW." Modern Physics Letters B 25, no. 12n13 (May 30, 2011): 1157–66. http://dx.doi.org/10.1142/s0217984911026875.

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Blood circulating efficiently inside the veins and arteries, provides essential nutrients and oxygen to tissues and organs in the entire body. To highlight the fundamental properties of blood and gain insight into the regularizing effect of various formulations, we need to develop mathematical models. In order to do this, first we present the polymer dynamics in terms of an ensemble of Hookean dumbbells with Brownian configuration fields to derive the orientation stress tensor. Then, we describe the continuity and the momentum equations for time-dependent incompressible flow and the Oldroyd-B
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Dissertations / Theses on the topic "Blood flow - Mathematical models"

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Pincombe, Brandon. "A study of non-Newtonian behaviour of blood flow through stenosed arteries /." Title page, contents and summary only, 1999. http://web4.library.adelaide.edu.au/theses/09PH/09php6469.pdf.

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Healy, Timothy M. "Multi-block and overset-block domain decomposition techniques for cardiovascular flow simulation." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/15622.

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Carrig, Pauline Elize. "The effect of blood chemistry on the rheological properties of the fluid." Thesis, Virginia Polytechnic Institute and State University, 1986. http://hdl.handle.net/10919/94451.

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A four variable constitutive equation was developed utilizing the method first presented by Schneck and Walburn. Spearman rank correlation coefficients were calculated on whole blood samples within a narrow range of hematocrit to investigate further the effect of the various plasma constituents on whole blood viscosity. Viscosity measurements were made on one hundred anticoagulated blood samples of known hematocrit and chemical composition. The constitutive equation was developed using a power law functional form similar to that employed by Schneck and Walburn. This equation contains two para
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Hong, Say Yenh. "Fluid structure interaction modeling of pulsatile blood flow in serial pulmonary artery stenoses." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=112571.

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Motivated by the physiological phenomena of collapse and flow limitation for a serial pulmonary artery stenosis, we investigated the three-dimensional influence of spatial configuration on the wall motion and hemodynamic. Our numerical study focused on the effect of two geometrical parameters: the relative distance and the angular orientation between the two stenoses. The collapse of a compliant arterial stenosis may cause flow choking, which would limit the flow reserve to major vital vascular beds such as the lungs, potentially leading to a lethal ventilation-perfusion mismatch. Flow through
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Ang, Keng Cheng. "A computational fluid dynamic study of blood flow through stenosed arteries /." Title page, table of contents and summary only, 1996. http://web4.library.adelaide.edu.au/theses/09PH/09pha5808.pdf.

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Fry, Brendan. "Theoretical Models for Blood Flow Regulation in Heterogeneous Microvascular Networks." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/293413.

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Proper distribution of blood flow in the microcirculation is necessary to match changing oxygen demands in various tissues. How this coordination of perfusion and consumption occurs in heterogeneous microvascular networks remains incompletely understood. Theoretical models are powerful tools that can help bridge this knowledge gap by simulating a range of conditions difficult to obtain experimentally. Here, an algorithm is first developed to estimate blood flow rates in large microvascular networks. Then, a theoretical model is presented for metabolic blood flow regulation in a realistic h
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Alirezaye-Davatgar, Mohammad Taghi Graduate School of Biomedical Engineering Faculty of Engineering UNSW. "Numerical simulation of blood flow in the systemic vasculature incorporating gravitational force with application to the cerebral circulation." Awarded by:University of New South Wales. Graduate School of Biomedical Engineering, 2006. http://handle.unsw.edu.au/1959.4/26177.

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Background. Extensive studies have been conducted to simulate blood flow in the human vasculature using nonlinear equations of pulsatile flow in collapsible tube plus a network of vessels to represent the whole vasculature and the cerebral circulation. For non-linear models numerical solutions are obtained for the fluid flow equations. Methods. Equations of fluid motion in collapsible tubes were developed in the presence of gravitational force (Gforce). The Lax-Wendroff and MacCormack methods were used to solve the governing equations and compared both in terms of accuracy, convergence, and co
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Bouchnita, Anass. "Mathematical modelling of blood coagulation and thrombus formation under flow in normal and pathological conditions." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSE1300/document.

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Cette thèse est consacrée à la modélisation mathématique de la coagulation sanguine et de la formation de thrombus dans des conditions normales et pathologiques. La coagulation sanguine est un mécanisme défensif qui empêche la perte de sang suite à la rupture des tissus endothéliaux. C'est un processus complexe qui est règlementé par différents mécanismes mécaniques et biochimiques. La formation du caillot sanguin a lieu dans l'écoulement sanguin. Dans ce contexte, l'écoulement à faible taux de cisaillement stimule la croissance du caillot tandis que la circulation sanguine à fort taux de cisa
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Lucas, Claire. "An anatomical model of the cerebral vasculature and blood flow." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:37d408b6-b804-4085-b420-a9704aeb97eb.

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The brain accounts for around 2 % of human adult bodyweight but consumes 20 % of the resting oxygen available to the whole body. The brain is dependent on a constant supply of oxygen to tissue, transported from the heart via the vasculature and carried in blood. An interruption to flow can lead to ischaemia (a reduced oxygen supply) and prolonged interruption may result in tissue death, and permanent brain damage. The cerebral vasculature consists of many, densely packed, micro-vessels with a very large total surface area. Oxygen dissolved in blood enters tissue by passive diffusion through th
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Bevan, Rhodri L. T. "A locally conservative Galerkin approach for subject-specific biofluid dynamics." Thesis, Swansea University, 2010. https://cronfa.swan.ac.uk/Record/cronfa42314.

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In this thesis, a parallel solver was developed for the modelling of blood flow through a number of patient-specific geometries. A locally conservative Galerkin (LCG) spatial discretisation was applied along with an artificial compressibility and characteristic based split (CBS) scheme to solve the 3D incompressible Navier-Stokes equations. The Spalart-Allmaras one equation turbulence model was also optionally employed. The solver was constructed using FORTRAN and the Message Passing Interface (MPI). Parallel testing demonstrated linear or better than linear speedup on hybrid patient-specific
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Books on the topic "Blood flow - Mathematical models"

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NATO Advanced Study Institute on Cerebral Blood Flow: Mathematical Models, Instrumentation, and Imaging Techniques for the Study of CBF (1986 L'Aquila, Italy). Cerebral blood flow: Mathematical models, instrumentation, and imaging techniques. New York: Plenum Press, 1988.

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ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exhibition (1995 Hilton Head, S.C.). Bio-medical fluids engineering: Presented at the 1995 ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exhibition, August 13-18, 1995, Hilton Head, South Carolina. New York, N.Y: American Society of Mechanical Engineers, 1995.

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Computational hydrodynamics of capsules and biological cells. Boca Raton: Chapman & Hall/CRC, 2010.

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Multicomponent flow modeling. Boston: Birkhäuser, 1999.

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As, S. C. van. Traffic flow theory. 3rd ed. [Pretoria]: SARB Chair in Transportation Engineering, Dept. of Civil Engineering, University of Pretoria, 1990.

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Kolev, Nikolay Ivanov. Multiphase flow dynamics. Berlin: Springer, 2002.

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Integrated flow modeling. Amsterdam: Elsevier Science B.V., 2000.

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Traffic flow fundamentals. Englewood Cliffs, N.J: Prentice Hall, 1990.

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Multiphase flow dynamics. 2nd ed. Berlin: Springer, 2005.

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Kolev, Nikolay Ivanov. Multiphase flow dynamics. 4th ed. Berlin: Springer, 2011.

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Book chapters on the topic "Blood flow - Mathematical models"

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de Moura, Alexandra Bugalho. "1D Models for Blood Flow in Arteries." In Mathematics in Industry, 17–33. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-50388-8_2.

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Sequeira, Adélia. "Hemorheology: Non-Newtonian Constitutive Models for Blood Flow Simulations." In Lecture Notes in Mathematics, 1–44. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74796-5_1.

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Kumar, Anil. "Mathematical Model of Blood Flow in Arteries with Porous Effects." In IFMBE Proceedings, 18–21. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14515-5_5.

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Hadjinicolaou, Maria, and Eleftherios Protopapas. "A Microscale Mathematical Blood Flow Model for Understanding Cardiovascular Diseases." In Advances in Experimental Medicine and Biology, 373–87. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-32622-7_35.

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Hadjinicolaou, Maria. "A Mathematical Model for the Blood Plasma Flow Around Two Aggregated Low-Density Lipoproteins." In Advances in Experimental Medicine and Biology, 173–84. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09012-2_11.

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Kiseleva, Anna A., Petr V. Luzhnov, and Dmitry M. Shamaev. "Verification of Mathematical Model for Bioimpedance Diagnostics of the Blood Flow in Cerebral Vessels." In Advances in Artificial Systems for Medicine and Education II, 251–59. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12082-5_23.

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Bodnár, Tomáš, Antonio Fasano, and Adélia Sequeira. "Mathematical Models for Blood Coagulation." In Fluid-Structure Interaction and Biomedical Applications, 483–569. Basel: Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0822-4_7.

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Elefteriadou, Lily. "Mathematical and Empirical Models." In An Introduction to Traffic Flow Theory, 129–35. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8435-6_6.

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Kovarik, Karel. "Mathematical Models of Groundwater Flow." In Numerical Models in Groundwater Pollution, 61–108. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56982-1_5.

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Holstein-Rathlou, N. H., K. H. Chon, D. J. Marsh, and V. Z. Marmarelis. "Models of Renal Blood Flow Autoregulation." In Springer Series in Synergetics, 167–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-79290-8_9.

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Conference papers on the topic "Blood flow - Mathematical models"

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Isaac, Abdalla W., and Mikhial Mathuieu. "A Mathematical Model for Blood Flow under Periodic Acceleration." In Biomedical Engineering. Calgary,AB,Canada: ACTAPRESS, 2011. http://dx.doi.org/10.2316/p.2011.723-022.

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Isaac, Abdalla Wassf, and Mikhial Maher Mathuieu. "A MATHEMATICAL MODEL FOR BLOOD FLOW UNDER PERIODIC ACCELERATION." In Biomedical Engineering. Calgary,AB,Canada: ACTAPRESS, 2010. http://dx.doi.org/10.2316/p.2010.723-022.

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Alnussairy, Esam A., and Ahmed Bakheet. "MHD micropolar blood flow model through a multiple stenosed artery." In THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136202.

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Sankar, D. S., Usik Lee, Atulya K. Nagar, and Maziri Morsidi. "Mathematical analysis of Carreau fluid model for blood flow in tapered constricted arteries." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY (ICAST’18). Author(s), 2018. http://dx.doi.org/10.1063/1.5055530.

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Hossain, Md Shahadat, Bhavin Dalal, Ian S. Fischer, Pushpendra Singh, and Nadine Aubry. "Modeling of Blood Flow in the Human Brain." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30554.

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The non-Newtonian properties of blood, i.e., shear thinning and viscoelasticity, can have a significant influence on the distribution of Cerebral Blood Flow (CBF) in the human brain. The aim of this work is to quantify the role played by the non-Newtonian nature of blood. Under normal conditions, CBF is autoregulated to maintain baseline levels of flow and oxygen to the brain. However, in patients suffering from heart failure (HF), Stroke, or Arteriovenous malformation (AVM), the pressure in afferent vessels varies from the normal range within which the regulatory mechanisms can ensure a const
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Hossain, Md Shahadat, Shriram B. Pillapakkam, Bhavin Dalal, Ian S. Fischer, Nadine Aubry, and Pushpendra Singh. "Modeling of Blood Flow in the Human Brain." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-64525.

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Under normal conditions, Cerebral Blood Flow (CBF) is related to the metabolism of the cerebral tissue. Three factors that contribute significantly to the regulation of CBF include the carbon dioxide and hydrogen ion concentration, oxygen deficiency and the level of cerebral activity. These regulatory mechanisms ensure a constant CBF of 50 to 55 ml per 100g of brain per minute for mean arterial blood pressure between 60–180 mm Hg. Under severe conditions when the autoregulatory mechanism fails to compensate, sympathetic nervous system constricts the large and intermediate sized arteries and pr
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Shakeri, Mostafa, Iman Khodarahmi, and M. Keith Sharp. "Preliminary Imaging of Red Blood Cells in Turbulent Flow." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80416.

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Considerable uncertainty exists about how momentum and energy are transferred to cells in turbulent flow, which has been shown to cause six times more damage to red blood cells (RBC’s) than laminar flow with the same mean wall shear stress [Kameneva, et al. 2004]. Though it is a purely mathematical construct to yield closure of the time-averaged Navier-Stokes equation for a continuum fluid, which is not valid at the scale of the cell, Reynolds stress has been used as an empirical indicator for damage potential [Sallam & Hwang 1984]. Other scales, including local viscous stress [Jones 1995]
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Bakheet, Ahmed, Esam A. Alnussairy, Zuhaila Ismail, and Norsarahaida Amin. "The effect of body acceleration on the generalized power law model of blood flow in a stenosed artery." In THE 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES: Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society. Author(s), 2017. http://dx.doi.org/10.1063/1.4980893.

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Sindeev, S. V., S. V. Frolov, and A. Yu Potlov. "Mathematical Modeling of Blood Flow in a Patientspecific Model of the Middle Cerebral Artery Taking into Account Non-Newtonian Blood Behavior." In 2019 International Science and Technology Conference "EastConf". IEEE, 2019. http://dx.doi.org/10.1109/eastconf.2019.8725318.

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Sankar, D. S., and M. F. Karim. "Influence of body acceleration in blood flow through narrow arteries with multiple constrictions - a mathematical model." In 5th Brunei International Conference on Engineering and Technology (BICET 2014). Institution of Engineering and Technology, 2014. http://dx.doi.org/10.1049/cp.2014.1068.

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