Log in

Relevant bibliographies by topics / Blood flow - Mathematical models / Journal articles

To see the other types of publications on this topic, follow the link: Blood flow - Mathematical models.

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

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Blood flow - Mathematical models.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

4

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

5

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

6

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

7

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

9

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

11

Koirala, Nischal, and Gordon McLennan. "Mathematical Models for Blood Flow Quantification in Dialysis Access Using Angiography: A Comparative Study." Diagnostics 11, no. 10 (September 26, 2021): 1771. http://dx.doi.org/10.3390/diagnostics11101771.

Full text

Abstract:

Blood flow rate in dialysis (vascular) access is the key parameter to examine patency and to evaluate the outcomes of various endovascular interve7ntions. While angiography is extensively used for dialysis access–salvage procedures, to date, there is no image-based blood flow measurement application commercially available in the angiography suite. We aim to calculate the blood flow rate in the dialysis access based on cine-angiographic and fluoroscopic image sequences. In this study, we discuss image-based methods to quantify access blood flow in a flow phantom model. Digital subtraction angio

APA, Harvard, Vancouver, ISO, and other styles

12

Sankar, D. S., and Ahmad Izani Md Ismail. "Two-Fluid Mathematical Models for Blood Flow in Stenosed Arteries: A Comparative Study." Boundary Value Problems 2009 (2009): 1–15. http://dx.doi.org/10.1155/2009/568657.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Alasakani, Karthik, Radhika S. l. Tantravahi, and Praveen Kumar Ptv. "On Refining the Input Data set to Mathematical Models Simulating Arterial blood flow in Humans." WSEAS TRANSACTIONS ON FLUID MECHANICS 16 (March 18, 2021): 63–78. http://dx.doi.org/10.37394/232013.2021.16.7.

Full text

Abstract:

In this paper, we worked on methods to reduce the input data set to the mathematical models developed to simulate blood flow through human arteries. In general, any mathematical model designed to mimic a natural process needs specific information on its model parameters. In our models, the inputs to these parameters are from the human arterial system, i.e., the anatomical data on arteries and physiological data on blood. Besides these, there are few other parameters in the models describing mechanisms, such as the pulsatile nature of the blood flow and the arteries' elastic behavior. These mec

APA, Harvard, Vancouver, ISO, and other styles

14

Nanda, Saktipada, Biswadip Basu Mallik, Samarpan Deb Majumder, Ramesh Kumar Karthick, Sagar Suman, and Sahil Sonkar. "Mathematical Modelling of Pulsatile Flow of Non-Newtonian Fluid Through a Constricted Artery." Mathematical Modelling of Engineering Problems 8, no. 3 (June 24, 2021): 485–91. http://dx.doi.org/10.18280/mmep.080320.

Full text

Abstract:

The research work explores blood flow into a stenosed artery, or one with abnormal growth within it. At the throats and at the critical height of the stenosis, mathematical and computational models have been developed to calculate the various associated parameters such as flow rate, pressure gradient, impedance, and wall shear stress. Modeling blood as a power law fluid showed the dependency of these quantities on temporal and spatial variables, as well as the frequency of the flow oscillation in time and the key parameters of the flow mechanism. The exponential curve is the geometry of the st

APA, Harvard, Vancouver, ISO, and other styles

15

Chernyavskiy, M. A., B. S. Artyushin, A. V. Chernov, D. V. Chernova, N. N. Zherdev, and Yu A. Kudaev. "POSSIBILITIES OF APPLYING MATHEMATICAL ANALYSIS OF BLOOD FLOW CHARACTERISTICS IN ENDOVASCULAR TREATMENT OF AORTIC DISEASES USING HOLOMETALLIC STENTS." Research'n Practical Medicine Journal 6, no. 1 (April 8, 2019): 99–105. http://dx.doi.org/10.17709/2409-2231-2019-6-1-10.

Full text

Abstract:

Purpose. The purpose of the article is to access possibilities of blood flow mathematical analysis in aortic aneurysm before and after bare metal stent implantation.Materials and methods. Mathematical models of aortic blood flow were based on data received at studying 15 CT-scans of patients with abdominal aorta aneurysms (12) and dissections (3) and their duplex ultra-sound hemodynamic data. At constructing mathematical model the program SolidWorks was used. Working with the program consisted of two stages: establishment of conditions for geometric objects; forming of abdominal aorta model fr

APA, Harvard, Vancouver, ISO, and other styles

16

Geydarov, N. A., K. S. Gainullova, and O. S. Drygina. "COMPUTATIONAL BLOOD FLOW SIMULATIONS IN CARDIOLOGY AND CARDIAC SURGERY." Complex Issues of Cardiovascular Diseases 7, no. 2 (June 30, 2018): 129–36. http://dx.doi.org/10.17802/2306-1278-2018-7-2-129-136.

Full text

Abstract:

The review provides the current state and benefits of the computational fluid dynamics (CFD) applications in cardiovascular surgery. The review covers the milestones of CFD and novel achievements in the development of both numerical algorithms and computational models. Basic methods of flow modeling, including immersed-boundary methods and finite-difference methods, allow solving most core tasks, even using commercially available software packages. Future research prospects of CFD are associated with detailed modeling of the pathological processes affecting functional properties of medical dev

APA, Harvard, Vancouver, ISO, and other styles

17

Laugesen, Jakob L., Olga V. Sosnovtseva, Erik Mosekilde, Niels-Henrik Holstein-Rathlou, and Donald J. Marsh. "Coupling-induced complexity in nephron models of renal blood flow regulation." American Journal of Physiology-Regulatory, Integrative and Comparative Physiology 298, no. 4 (April 2010): R997—R1006. http://dx.doi.org/10.1152/ajpregu.00714.2009.

Full text

Abstract:

Tubular pressure and nephron blood flow time series display two interacting oscillations in rats with normal blood pressure. Tubuloglomerular feedback (TGF) senses NaCl concentration in tubular fluid at the macula densa, adjusts vascular resistance of the nephron's afferent arteriole, and generates the slower, larger-amplitude oscillations (0.02–0.04 Hz). The faster smaller oscillations (0.1–0.2 Hz) result from spontaneous contractions of vascular smooth muscle triggered by cyclic variations in membrane electrical potential. The two mechanisms interact in each nephron and combine to act as a h

APA, Harvard, Vancouver, ISO, and other styles

18

Baba, Tatsuro, Shuichi Adachi, and Masatsugu Taiko. "Automatic Valve-Rejection Algorithm for Cardiac Doppler Ultrasound Systems." ISRN Biomedical Imaging 2013 (March 24, 2013): 1–6. http://dx.doi.org/10.1155/2013/850303.

Full text

Abstract:

In recent years, blood flow diagnosis using Doppler ultrasound systems has become popular. Using these systems, the peak velocity of blood flow is automatically traced. However, because valve signals are mixed with the blood flow signals in a heart chamber, automatic measurements of blood flow are not correctly recorded. To solve this problem, we developed a novel method that adopted system identification. We applied a mathematical model with an electrocardiographic waveform as the input and a trace waveform of the peak velocity as the output. Several mathematical models with different structu

APA, Harvard, Vancouver, ISO, and other styles

19

Boujelben, Ahmed, Michael Watson, Steven McDougall, Yi-Fen Yen, Elizabeth R. Gerstner, Ciprian Catana, Thomas Deisboeck, et al. "Multimodality imaging and mathematical modelling of drug delivery to glioblastomas." Interface Focus 6, no. 5 (October 6, 2016): 20160039. http://dx.doi.org/10.1098/rsfs.2016.0039.

Full text

Abstract:

Patients diagnosed with glioblastoma, an aggressive brain tumour, have a poor prognosis, with a median overall survival of less than 15 months. Vasculature within these tumours is typically abnormal, with increased tortuosity, dilation and disorganization, and they typically exhibit a disrupted blood–brain barrier (BBB). Although it has been hypothesized that the ‘normalization’ of the vasculature resulting from anti-angiogenic therapies could improve drug delivery through improved blood flow, there is also evidence that suggests that the restoration of BBB integrity might limit the delivery o

APA, Harvard, Vancouver, ISO, and other styles

20

Sgouralis, Ioannis, and Anita T. Layton. "Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole." American Journal of Physiology-Renal Physiology 303, no. 2 (July 15, 2012): F229—F239. http://dx.doi.org/10.1152/ajprenal.00589.2011.

Full text

Abstract:

We have formulated a mathematical model for the rat afferent arteriole (AA). Our model consists of a series of arteriolar smooth muscle cells and endothelial cells, each of which represents ion transport, cell membrane potential, and gap junction coupling. Cellular contraction and wall mechanics are also represented for the smooth muscle cells. Blood flow through the AA lumen is described by Poiseuille flow. The AA model's representation of the myogenic response is based on the hypothesis that changes in hydrostatic pressure induce changes in the activity of nonselective cation channels. The r

APA, Harvard, Vancouver, ISO, and other styles

21

Lopes, D., H. Puga, J. C. Teixeira, and S. F. Teixeira. "Fluid–Structure Interaction study of carotid blood flow: Comparison between viscosity models." European Journal of Mechanics - B/Fluids 83 (September 2020): 226–34. http://dx.doi.org/10.1016/j.euromechflu.2020.05.010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Sefidgar, Mostafa, M. Soltani, Kaamran Raahemifar, and Hossein Bazmara. "Effect of Fluid Friction on Interstitial Fluid Flow Coupled with Blood Flow through Solid Tumor Microvascular Network." Computational and Mathematical Methods in Medicine 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/673426.

Full text

Abstract:

A solid tumor is investigated as porous media for fluid flow simulation. Most of the studies use Darcy model for porous media. In Darcy model, the fluid friction is neglected and a few simplified assumptions are implemented. In this study, the effect of these assumptions is studied by considering Brinkman model. A multiscale mathematical method which calculates fluid flow to a solid tumor is used in this study to investigate how neglecting fluid friction affects the solid tumor simulation. The mathematical method involves processes such as blood flow through vessels and solute and fluid diffus

APA, Harvard, Vancouver, ISO, and other styles

23

Maki, Kara L., Rodolfo Repetto, and Richard J. Braun. "Mathematical modeling highlights from ARVO 2018." Modeling and Artificial Intelligence in Ophthalmology 2, no. 3 (June 19, 2019): 5–8. http://dx.doi.org/10.35119/maio.v2i3.98.

Full text

Abstract:

At the ARVO annual meeting, there is an increasing number of contributions that involve significant mathematical modeling of ocular physiology and procedures. There has long been significant use of statistical methods for understanding data from a variety of in vivo measurements and clinical trials. Beyond these important uses of statistical and mathematical tools, a growing number of researchers are developing mathematical and computational models, often based on fundamental principles from physics, chemistry and mechanics, that provide insights into ocular phenomena. A number of areas had no

APA, Harvard, Vancouver, ISO, and other styles

24

Gabryś, Elżbieta, Marek Rybaczuk, and Alicja Kędzia. "Blood flow simulation through fractal models of circulatory system." Chaos, Solitons & Fractals 27, no. 1 (January 2006): 1–7. http://dx.doi.org/10.1016/j.chaos.2005.02.009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Kumar, Anil, V. Upa dhyay, A. K. Agra wal, and P. N. Pan dey. "Mathematical models of two phase human hepatic blood flow in venules with special reference to liver cirrhosis." International Journal of Mathematics Trends and Technology 52, no. 2 (December 25, 2017): 145–51. http://dx.doi.org/10.14445/22315373/ijmtt-v52p520.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

CLARK, A. R., and M. H. TAWHAI. "TEMPORAL AND SPATIAL HETEROGENEITY IN PULMONARY PERFUSION: A MATHEMATICAL MODEL TO PREDICT INTERACTIONS BETWEEN MACRO- AND MICRO-VESSELS IN HEALTH AND DISEASE." ANZIAM Journal 59, no. 4 (April 2018): 562–80. http://dx.doi.org/10.1017/s1446181118000111.

Full text

Abstract:

Heterogeneity in pulmonary microvascular blood flow (perfusion) provides an early indicator of lung disease or disease susceptibility. However, most computational models of the pulmonary vasculature neglect structural heterogeneities, and are thus not accurate predictors of lung function in disease that is not diffuse (spread evenly through the lung). Models that do incorporate structural heterogeneity have either neglected the temporal dynamics of blood flow, or the structure of the smallest blood vessels. Larger than normal oscillations in pulmonary capillary calibre, high oscillatory stress

APA, Harvard, Vancouver, ISO, and other styles

27

Ferrell, Nicholas, Ruben M. Sandoval, Aihua Bian, Silvia B. Campos-Bilderback, Bruce A. Molitoris, and William H. Fissell. "Shear stress is normalized in glomerular capillaries following ⅚ nephrectomy." American Journal of Physiology-Renal Physiology 308, no. 6 (March 15, 2015): F588—F593. http://dx.doi.org/10.1152/ajprenal.00290.2014.

Full text

Abstract:

Loss of significant functional renal mass results in compensatory structural and hemodynamic adaptations in the nephron. While these changes have been characterized in several injury models, how they affect hemodynamic forces at the glomerular capillary wall has not been adequately characterized, despite their potential physiological significance. Therefore, we used intravital multiphoton microscopy to measure the velocity of red blood cells in individual glomerular capillaries of normal rats and rats subjected to ⅚ nephrectomy. Glomerular capillary blood flow rate and wall shear stress were t

APA, Harvard, Vancouver, ISO, and other styles

28

Dobroserdova, Tatyana, Fuyou Liang, Grigory Panasenko, and Yuri Vassilevski. "Multiscale models of blood flow in the compliant aortic bifurcation." Applied Mathematics Letters 93 (July 2019): 98–104. http://dx.doi.org/10.1016/j.aml.2019.01.037.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Giménez, Á., M. Galarza, U. Thomale, M. U. Schuhmann, J. Valero, and J. M. Amigó. "Pulsatile flow in ventricular catheters for hydrocephalus." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 375, no. 2096 (May 15, 2017): 20160294. http://dx.doi.org/10.1098/rsta.2016.0294.

Full text

Abstract:

The obstruction of ventricular catheters (VCs) is a major problem in the standard treatment of hydrocephalus, the flow pattern of the cerebrospinal fluid (CSF) being one important factor thereof. As a first approach to this problem, some of the authors studied previously the CSF flow through VCs under time-independent boundary conditions by means of computational fluid dynamics in three-dimensional models. This allowed us to derive a few basic principles which led to designs with improved flow patterns regarding the obstruction problem. However, the flow of the CSF has actually a pulsatile nat

APA, Harvard, Vancouver, ISO, and other styles

30

Senner, John W., Frank Z. Stanczyk, Marc A. Fritz, and Miles J. Novy. "Relationship of uteroplacental blood flow to placental clearance of maternal plasma C-19 steroids: Evaluation of mathematical models." American Journal of Obstetrics and Gynecology 153, no. 5 (November 1985): 573–75. http://dx.doi.org/10.1016/0002-9378(85)90481-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Tanveer, Shakera, and V. P. Rathod. "Gravity flow of pulsatile blood through a porous medium under periodic body acceleration and magnetic field in an inclined tube." International Journal of Biomathematics 09, no. 02 (January 14, 2016): 1650025. http://dx.doi.org/10.1142/s179352451650025x.

Full text

Abstract:

Mathematical model for the pulsatile blood flow through a porous medium under the influence of periodic body acceleration for gravity flow along an inclined tube by considering blood as a couple stress, incompressible and electrically conducting fluid in the presence of magnetic field has been investigated. Analytical expressions for axial velocity, flow rate, fluid acceleration and shear stress are obtained by applying the Laplace and finite Hankel’s transforms. The velocity profiles for various values of Hartmann number, couple stress parameters and the angle of inclination are shown graphic

APA, Harvard, Vancouver, ISO, and other styles

32

Lampe, Renée, Nikolai Botkin, Varvara Turova, Tobias Blumenstein, and Ana Alves-Pinto. "Mathematical Modelling of Cerebral Blood Circulation and Cerebral Autoregulation: Towards Preventing Intracranial Hemorrhages in Preterm Newborns." Computational and Mathematical Methods in Medicine 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/965275.

Full text

Abstract:

Impaired cerebral autoregulation leads to fluctuations in cerebral blood flow, which can be especially dangerous for immature brain of preterm newborns. In this paper, two mathematical models of cerebral autoregulation are discussed. The first one is an enhancement of a vascular model proposed by Piechnik et al. We extend this model by adding a polynomial dependence of the vascular radius on the arterial blood pressure and adjusting the polynomial coefficients to experimental data to gain the autoregulation behavior. Moreover, the inclusion of a Preisach hysteresis operator, simulating a hyste

APA, Harvard, Vancouver, ISO, and other styles

33

Kozlov, V. A., and S. A. Nazarov. "Asymptotic Models of the Blood Flow in Arteries and Veins." Journal of Mathematical Sciences 194, no. 1 (September 5, 2013): 44–57. http://dx.doi.org/10.1007/s10958-013-1505-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Pereira, J. M. C., J. P. Serra e Moura, A. R. Ervilha, and J. C. F. Pereira. "On the uncertainty quantification of blood flow viscosity models." Chemical Engineering Science 101 (September 2013): 253–65. http://dx.doi.org/10.1016/j.ces.2013.05.033.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Marcinkowska-Gapińska, Anna, and Piotr Kowal. "Hemorheological studies of chosen clinical cases." Journal of Medical Science 84, no. 3 (September 30, 2015): 197–200. http://dx.doi.org/10.20883/medical.e17.

Full text

Abstract:

Rheology – the study of the flow of matter and accompanying phenomena of real bodies deformation – in relation to blood – hemorheology. Blood viscosity – the main rheological parameter – has been studied in many research centers and among many different group of patients. The main disorders related to the hemorheological properties are: coronary insufficiency, vascular congestion, myocardial infarction, cerebral circulation disorder, Reynaud disease, ischemic limbs, diabetes, anemia, tumors. The following parameters are the main blood viscosity determinants: plasma viscosity, hematocrit, red c

APA, Harvard, Vancouver, ISO, and other styles

36

ROBERTSON, ANNE M., and ADÉLIA SEQUEIRA. "A DIRECTOR THEORY APPROACH FOR MODELING BLOOD FLOW IN THE ARTERIAL SYSTEM: AN ALTERNATIVE TO CLASSICAL 1D MODELS." Mathematical Models and Methods in Applied Sciences 15, no. 06 (June 2005): 871–906. http://dx.doi.org/10.1142/s0218202505000601.

Full text

Abstract:

It remains computationally infeasible to model the full three-dimensional (3D) equations for blood flow in large sections of the circulatory system. As a result, one-dimensional (1D) and lumped parameter models play an important role in studies of the arterial system. A variety of 1D models are used, distinguished by the closure approximations employed. In this paper, we introduce a nine-director theory for flow in axisymmetric bodies as an alternative to the 1D models. Advantages of the director theory include (i) the theory makes use of all components of linear momentum; (ii) the flow is not

APA, Harvard, Vancouver, ISO, and other styles

37

Bakhti, Hamzah, Lahcen Azrar, and Baleanu Dumitru. "Pulsatile blood flow in constricted tapered artery using a variable-order fractional Oldroyd-B model." Thermal Science 21, no. 1 Part A (2017): 29–40. http://dx.doi.org/10.2298/tsci160421237b.

Full text

Abstract:

The aim of this paper is to deal with the pulsatile flow of blood in stenosed arteries using one of the known constitutive models that describe the viscoelasticity of blood witch is the generalized Oldroyd-B model with a variable-order fractional derivative. Numerical approximation for the axial velocity and wall shear stress were obtained by use of the implicit finite-difference scheme. The velocity profile is analyzed by graphical illustrations. This mathematical model gives more realistic results that will help medical practitioners and it has direct applications in the treatment of cardiov

APA, Harvard, Vancouver, ISO, and other styles

38

Gupta, B. B., M. Y. Jaffrin, and L. H. Ding. "Modelling of Plasma-Separation through Microporous Membranes." International Journal of Artificial Organs 12, no. 1 (January 1989): 51–58. http://dx.doi.org/10.1177/039139888901200109.

Full text

Abstract:

Available mathematical models of ultrafiltration have been used to predict changes in maximum plasma filtration rate with wall shear rate for given filters and blood properties. We have done many plasmapheresis experiments in vitro, using hollow-fiber filters (500–1000 cm2) and fresh bovine blood collected on ACD or heparin. The comparison between predicted and experimentally obtained filtration rates was good for models based on the concentration polarization theory and lift velocity theory. In other experiments with pulsatile inlet flow we found that plasma filtration rate increased by 20 to

APA, Harvard, Vancouver, ISO, and other styles

39

BEHBAHANI, M., M. BEHR, M. HORMES, U. STEINSEIFER, D. ARORA, O. CORONADO, and M. PASQUALI. "A review of computational fluid dynamics analysis of blood pumps." European Journal of Applied Mathematics 20, no. 4 (August 2009): 363–97. http://dx.doi.org/10.1017/s0956792509007839.

Full text

Abstract:

Ventricular assist devices (VADs) provide long- and short-term support to chronically ill heart disease patients; these devices are expected to match the remarkable functionality of the natural heart, which makes their design a very challenging task. Blood pumps, the principal component of the VADs, must operate over a wide range of flow rates and pressure heads and minimise the damage to blood cells in the process. They should also be small to allow easy implantation in both children and adults. Mathematical methods and computational fluid dynamics (CFD) have recently emerged as powerful desi

APA, Harvard, Vancouver, ISO, and other styles

40

Del Río Palma, J., E. Romero V., and M. Cerrolaza. "ANALYSIS OF BLOOD FLOW PASSING THROUGH AORTIC AND MITRAL VALVES USING A COMPUTATIONAL MODEL OF CONCENTRATED PARAMETERS." Biomedical Engineering: Applications, Basis and Communications 26, no. 06 (December 2014): 1450068. http://dx.doi.org/10.4015/s1016237214500689.

Full text

Abstract:

Blood flow has been extensively studied because of its close relationship with cardiovascular disease. Heart valves blood flow analysis is particularly complex due to the high mobility of its leaflets, a fact that has stimulated the development of computational models aimed to its better understanding. For studying heart valves blood flow, we developed a mathematical model derived from clinical observations based on echocardiographic images, which describe valve leaflets motion and its influence on blood flow. This work presents a concentrated-parameters-based model of heart valves blood flow

APA, Harvard, Vancouver, ISO, and other styles

41

Layton, Anita T. "Modeling Transport and Flow Regulatory Mechanisms of the Kidney." ISRN Biomathematics 2012 (August 23, 2012): 1–18. http://dx.doi.org/10.5402/2012/170594.

Full text

Abstract:

The kidney plays an indispensable role in the regulation of whole-organism water balance, electrolyte balance, and acid-base balance, and in the excretion of metabolic wastes and toxins. In this paper, we review representative mathematical models that have been developed to better understand kidney physiology and pathophysiology, including the regulation of glomerular filtration, the regulation of renal blood flow by means of the tubuloglomerular feedback mechanisms and of the myogenic mechanism, the urine concentrating mechanism, and regulation of renal oxygen transport. We discuss how such m

APA, Harvard, Vancouver, ISO, and other styles

42

Liu, Biyue, and Dalin Tang. "Influence of Distal Stenosis on Blood Flow Through Coronary Serial Stenoses: A Numerical Study." International Journal of Computational Methods 16, no. 03 (March 17, 2019): 1842003. http://dx.doi.org/10.1142/s0219876218420033.

Full text

Abstract:

Computer simulations of the blood flow through right coronary arteries with two stenoses in the same arterial segment are carried out to investigate the interactions of serial stenoses, especially the effect of the distal stenosis. Various mathematical models are developed by varying the location of the distal stenosis. The numerical results show that the variation of the distal stenosis has significant impact on coronary hemodynamics, such as the pressure drop, flow shifting, wall shear stress and flow separation. Our simulations demonstrate that the distal stenosis has insignificant effect o

APA, Harvard, Vancouver, ISO, and other styles

43

Chen, Yan-li, Gui-Qiang Bai, Liu-xing Ren, Yang Bai, Meng-yao Sun, Tao Shang, Chun-ye Ma, and Da-shi Ma. "Blood physiological and flow characteristics within coronary artery circulatory network for human heart based on vascular fractal theory." Advances in Mechanical Engineering 12, no. 7 (July 2020): 168781402093338. http://dx.doi.org/10.1177/1687814020933385.

Full text

Abstract:

To analyze the fractal form of the vascular network in the human circulatory system, the optimal transport effect has been achieved from the point of view of biological evolution. The blood flow mathematical models based on the fractal theory for capillary network and arteriole–capillary vascular fractal network were established using theory derivation, and the blood flow characteristics, dynamic flow resistance effects, and vascular fractal physiology property based on the fractal porous medium theory for the coronary artery circulatory network were analyzed under the consideration of some in

APA, Harvard, Vancouver, ISO, and other styles

44

Kohles, Sean S., Ryan W. Mangan, Edward Stan, and James McNames. "A First-Order Mechanical Device to Model Traumatized Craniovascular Biodynamics." Journal of Medical Devices 1, no. 1 (July 30, 2006): 89–95. http://dx.doi.org/10.1115/1.2355689.

Full text

Abstract:

Mathematical models currently exist that explore the physiology of normal and traumatized intracranial function. Mechanical models are used to assess harsh environments that may potentially cause head injuries. However, few mechanical models are designed to study the adaptive physiologic response to traumatic brain injury. We describe a first-order physical model designed and fabricated to elucidate the complex biomechanical factors associated with dynamic intracranial physiology. The uni-directional flow device can be used to study interactions between the cranium, brain tissue, cerebrospinal

APA, Harvard, Vancouver, ISO, and other styles

45

Marmarelis, VZ, DC Shin, and R. Zhang. "Linear and Nonlinear Modeling of Cerebral Flow Autoregulation Using Principal Dynamic Modes." Open Biomedical Engineering Journal 6, no. 1 (April 26, 2012): 42–55. http://dx.doi.org/10.2174/1874120701206010042.

Full text

Abstract:

Cerebral Flow Autoregulation (CFA) is the dynamic process by which cerebral blood flow is maintained within physiologically acceptable bounds during fluctuations of cerebral perfusion pressure. The distinction is made with “static” flow autoregulation under steady-state conditions of perfusion pressure, described by the celebrated “autoregulatory curve” with a homeostatic plateau. This paper studies the dynamic CFA during changes in perfusion pressure, which attains critical clinical importance in patients with stroke, traumatic brain injury and neurodegenerative disease with a cerebrovascular

APA, Harvard, Vancouver, ISO, and other styles

46

Cui, Zhoujin, Min Shi, and Zaihua Wang. "Bifurcation in a New Fractional Model of Cerebral Aneurysm at the Circle of Willis." International Journal of Bifurcation and Chaos 31, no. 09 (July 2021): 2150135. http://dx.doi.org/10.1142/s0218127421501352.

Full text

Abstract:

A fractional-order model is proposed to describe the dynamic behaviors of the velocity of blood flow in cerebral aneurysm at the circle of Willis. The fractional-order derivative is used to model the blood flow damping term that features the viscoelasticity of the blood flow behaving between viscosity and elasticity, unlike the existing fractional models that use fractional-order derivatives to replace the integer-order derivatives as mathematical/logical generalization. A numerical analysis of the nonlinear dynamic behaviors of the model is carried out, and the influence of the damping term a

APA, Harvard, Vancouver, ISO, and other styles

47

Köppl, Tobias, Ettore Vidotto, Barbara Wohlmuth, and Paolo Zunino. "Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions." Mathematical Models and Methods in Applied Sciences 28, no. 05 (May 2018): 953–78. http://dx.doi.org/10.1142/s0218202518500252.

Full text

Abstract:

Many biological and geological systems can be modeled as porous media with small inclusions. Vascularized tissue, roots embedded in soil or fractured rocks are examples of such systems. In these applications, tissue, soil or rocks are considered to be porous media, while blood vessels, roots or fractures form small inclusions. To model flow processes in thin inclusions, one-dimensional (1D) models of Darcy- or Poiseuille type have been used, whereas Darcy-equations of higher dimension have been considered for the flow processes within the porous matrix. A coupling between flow in the porous ma

APA, Harvard, Vancouver, ISO, and other styles

48

Gamilov, Timur, Philipp Kopylov, Maria Serova, Roman Syunyaev, Andrey Pikunov, Sofya Belova, Fuyou Liang, Jordi Alastruey, and Sergey Simakov. "Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias." Mathematics 8, no. 8 (July 22, 2020): 1205. http://dx.doi.org/10.3390/math8081205.

Full text

Abstract:

In this work we present a one-dimensional (1D) mathematical model of the coronary circulation and use it to study the effects of arrhythmias on coronary blood flow (CBF). Hydrodynamical models are rarely used to study arrhythmias’ effects on CBF. Our model accounts for action potential duration, which updates the length of systole depending on the heart rate. It also includes dependency of stroke volume on heart rate, which is based on clinical data. We apply the new methodology to the computational evaluation of CBF during interventricular asynchrony due to cardiac pacing and some types of ar

APA, Harvard, Vancouver, ISO, and other styles

49

Khubulava, G. G., A. B. Naumov, S. P. Marchenko, O. Yu Chupaeva, A. A. Seliverstova, N. G. Pilyugov, O. Yu Tereshenko, et al. "Theoretical models of changes in haemodynamic parameters and gas exchange in univentricular circulation." Patologiya krovoobrashcheniya i kardiokhirurgiya 23, no. 3 (November 27, 2019): 65. http://dx.doi.org/10.21688/1681-3472-2019-3-65-75.

Full text

Abstract:

<div><strong>Aim.</strong> To develop theoretical models of changes in haemodynamic parameters of patients with univentricular haemodynamics.</div><div><strong>Methods.</strong> We analysed the effects of redistributing blood flow between the two circulatory systems (pulmonary and systemic) on systemic oxygen delivery and examined changes in the arterial and venous blood gas compositions. Mathematical analyses on the basis of oxygen flow into the pulmonary circulatory system and its consumption during circulation were perfo

APA, Harvard, Vancouver, ISO, and other styles

50

Milišić, Vuk, and Alfio Quarteroni. "Analysis of lumped parameter models for blood flow simulations and their relation with 1D models." ESAIM: Mathematical Modelling and Numerical Analysis 38, no. 4 (July 2004): 613–32. http://dx.doi.org/10.1051/m2an:2004036.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!