Academic literature on the topic 'Blood pressure – Mathematical models'

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Journal articles on the topic "Blood pressure – Mathematical models"

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Pavlovska, M. O. "BLOOD PRESSURE, HYPOCHONDRIA AND DEPRESSION: MATHEMATICAL MODELS OF RELATIONSHIP." International Medical Journal, no. 4(104) (December 24, 2020): 12–20. http://dx.doi.org/10.37436/2308-5274-2020-4-2.

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Modern clinical diagnostics has standards and medical systems for the diagnosis of hypertension, advanced information technology. Mathematical models of the relationship between systolic blood pressure and psychological indices of hypochondria and depression have been described. Methods of mathematical statistics were applied as follows: factor, cluster, discriminant, regression analyzes, Markov chains, polynomial splines and neural networks, they were implemented in software products, such as NeuroModelDBPM, "Monitoring", VerMed. The presented model of interaction of systolic arterial pressur
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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 (2007): 94–108. http://dx.doi.org/10.1007/s10558-007-9047-3.

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Kiselev, I. N., E. O. Kutumova, A. F. Kolpakova, G. I. Lifshits, and F. A. Kolpakov. "Mathematical Modeling of the Antihypertensive Drugs Action." Mathematical Biology and Bioinformatics 14, no. 1 (2019): 233–56. http://dx.doi.org/10.17537/2019.14.233.

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Arterial hypertension is one of the most common diseases of the human cardiovascular system and is characterized by persistent increase in blood pressure. Normalization of blood pressure can be achieved by using antihypertensive drugs with various mechanisms of action. In this work, we investigated a modular mathematical model of the human cardiovascular system created earlier, and complemented it with pharmacodynamic models of five different classes of antihypertensive drugs with such exemplars as aliskiren, losartan, bisoprolol, enalapril and amlodipine. We used clinical trials found in the
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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 (2010): R997—R1006. http://dx.doi.org/10.1152/ajpregu.00714.2009.

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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
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Parati, G., B. Vrijens, and G. Vincze. "Analysis and Interpretation of 24-h Blood Pressure Profiles: Appropriate Mathematical Models May Yield Deeper Understanding." American Journal of Hypertension 21, no. 2 (2008): 123–25. http://dx.doi.org/10.1038/ajh.2007.27.

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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 (2021): 485–91. http://dx.doi.org/10.18280/mmep.080320.

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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
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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 (2012): F229—F239. http://dx.doi.org/10.1152/ajprenal.00589.2011.

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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
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Vasilevich and Nikanorova. "ANALYTICAL MATHEMATICAL MODELS OF THE POPULATION OF ARTHROPODS IN THE NON-BLACK EARTH ZONE." THEORY AND PRACTICE OF PARASITIC DISEASE CONTROL, no. 22 (May 19, 2021): 128–32. http://dx.doi.org/10.31016/978-5-6046256-1-3.2021.22.128-132.

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The article provides an example of mathematical analytical modeling of the population size of blood-sucking arthropods on the example of mosquitoes and ixodid ticks that inhabit the Kaluga Region. The presented analytical mathematical models make it possible to clearly assess the influence of environmental factors on parasite populations. The following factors were taken into account: average temperature (monthly and yearly, t, oС); average precipitation (monthly and yearly, S, mm); mean atmospheric pressure (P, mm Hg) for mosquitoes, and monthly average temperature (t, o С), monthly mean rela
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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.

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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
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Zidanšek, A., and A. Blinc. "The Influence of Transport Parameters and Enzyme Kinetics of the Fibrinolytic System on Thrombolysis: Mathematical Modelling of Two Idealised Cases." Thrombosis and Haemostasis 65, no. 05 (1991): 553–59. http://dx.doi.org/10.1055/s-0038-1648189.

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SummaryExperimental data obtained by magnetic resonance imaging and photographing clot dissolution in vitro have shown that whole blood clots dissolve almost two orders of magnitude faster when urokinase is introduced into the clot by pressure induced permeation than when its access is limited to diffusion. In view of these findings, two mathematical models have been developed that quantitatively link the enzymatic and transport properties of the fibrinolytic system to the velocity of thrombolysis. Without a pressure gradient across the thrombus, the plasminogen activator molecules diffuse int
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Dissertations / Theses on the topic "Blood pressure – Mathematical models"

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Zienkiewicz, A. (Aleksandra). "Blood pressure estimation using pulse transit time models." Master's thesis, University of Oulu, 2017. http://jultika.oulu.fi/Record/nbnfioulu-201712063289.

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Abstract. Blood pressure (BP) is an important indicator of human health. Common methods for measuring BP continuously are either invasive, intermittent or they require using a cumbersome cuff. Pulse Transmit Time (PTT) -based measurement can be an alternative for such methods, as it ensures continue and non-invasive monitoring. However, since the method is indirect, it requires careful modelling of PTT-BP relation. In this thesis, three approaches of BP estimation from PTT are tested: linear regression, nonlinear Moens and Korteweg model and nonlinear model developed by Gesche. In the experime
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Fiechter, Jerome. "Numerical study of platelet transport in flowing blood." Thesis, Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/16770.

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Liu, Yi. "A study of mathematical modelling and signal processing of cerebral autoregulation." Thesis, University of Southampton, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.273880.

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Hassanli, A. M. "Modelling and optimisation of pressure irrigation systems /." Title page, abstract and contents only, 1996. http://web4.library.adelaide.edu.au/theses/09PH/09phh353.pdf.

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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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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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Tercero, Carlos, Seiichi Ikeda, Motoki Matsushima, et al. "Human blood pressure simulation for photoelastic stress analysis in models of vasculature." IEEE, 2009. http://hdl.handle.net/2237/13884.

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DITOLLA, ROBERT JOHN. "RANDOM VIBRATION ANALYSIS BY THE POWER SPECTRUM AND RESPONSE SPECTRUM METHODS (WHITE NOISE, FINITE-ELEMENT, VANMARCKE, DENSITY, NASTRAN)." Diss., The University of Arizona, 1986. http://hdl.handle.net/10150/183836.

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Determination of the stresses and displacements which occur in response to random excitations cannot be accomplished by traditional deterministic analysis methods. As the specification of the excitation and the response of the structure become more complex, solutions by direct, closed-form methods require extensive computations. Two methods are presented which can be used in the analysis of structures which are subjected to random excitations. The Power Spectrum Method is a procedure which determines the random vibration response of the structure based upon a frequency response analysis of a s
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Panarelli, Maurizio. "Glucocorticoid receptor binding characteristics in rat genetic models of hypertension and in normal subjects of known glucocorticoid receptor genotype." Thesis, University of Glasgow, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.295328.

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Watson, Cody. "Modeling of pressure transients in fuel injection lines." Thesis, Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/16869.

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Books on the topic "Blood pressure – Mathematical models"

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Ross, C. T. F. Pressure vessels: External pressure technology. 2nd ed. Woodhead Publishing, 2011.

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Pressure vessels under external pressure: Statics and dynamics. Elsevier Applied Science, 1990.

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Sarkar, Shondeep L. Modeling the pressure-dilation correlation. National Aeronautics and Space Administration Langley Research Center, 1991.

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Potters, Jan. Lobbying and pressure: Theory and experiments. Thesis Publishers, 1992.

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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. Plenum Press, 1988.

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Hill, Reginald J. Pressure-gradient, velocity-velocity structure function for locally isotropic turbulence in incompressible fluid. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, Environmental Technology Laboratory, 1997.

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Hill, Reginald J. Pressure-gradient, velocity-velocity structure function for locally isotropic turbulence in incompressible fluid. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, Environmental Technology Laboratory, 1997.

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Hill, Reginald J. Pressure-gradient, velocity-velocity structure function for locally isotropic turbulence in incompressible fluid. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, Environmental Technology Laboratory, 1997.

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Hill, Reginald J. Pressure-gradient, velocity-velocity structure function for locally isotropic turbulence in incompressible fluid. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, Environmental Technology Laboratory, 1997.

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Karakawa, Masanori. A mathematical approach to cardiovascular disease: Mechanics of blood circulation. Kokuseido Pub. Co., 1998.

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Book chapters on the topic "Blood pressure – Mathematical models"

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Pstras, Leszek, and Jacek Waniewski. "Mean Arterial Blood Pressure During Haemodialysis: Sensitivity Analysis and Validation of Mathematical Model Predictions." In Mathematical Modelling of Haemodialysis. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-21410-4_3.

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Akhmet, Marat. "The Blood Pressure Distribution." In Nonlinear Hybrid Continuous/Discrete-Time Models. Atlantis Press, 2011. http://dx.doi.org/10.2991/978-94-91216-03-9_9.

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Bader, M. "Renin-Angiotensin System/Blood Pressure Control." In Transgenic Models in Pharmacology. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18934-0_13.

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

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Campos, Luciana Aparecida, and Ovidiu Constantin Baltatu. "Models of Hypertension and Blood Pressure Recording." In Methods in Pharmacology and Toxicology. Humana Press, 2012. http://dx.doi.org/10.1007/978-1-62703-095-3_5.

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Leguy, Carole. "Mathematical and Computational Modelling of Blood Pressure and Flow." In Series in BioEngineering. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-10-5092-3_11.

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Rõõm, Rein, and Aarne Männik. "Acoustic Filtration in Pressure-Coordinate Models." In IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0792-4_29.

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Radivoyevitch, Tomas, Huamin Li, and Rainer K. Sachs. "Etiology and Treatment of Hematological Neoplasms: Stochastic Mathematical Models." In A Systems Biology Approach to Blood. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-2095-2_16.

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Lacolley, Patrick, Simon N. Thornton, and Yvonnick Bezie. "Animal Models for Studies of Arterial Stiffness." In Blood Pressure and Arterial Wall Mechanics in Cardiovascular Diseases. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-5198-2_6.

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Ventre, Jeanne, Francesca Raimondi, Nathalie Boddaert, José Maria Fullana, and Pierre-Yves Lagrée. "Reduced-Order Models for Blood Pressure Drop Across Arterial Stenoses." In Lecture Notes in Computational Vision and Biomechanics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43195-2_1.

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Conference papers on the topic "Blood pressure – Mathematical models"

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Ghasemi, Zahra, Chang-Sei Kim, Eric Ginsberg, John Duell, Anuj Gupta, and Jin-Oh Hahn. "Estimation of Central Aortic Blood Pressure From Non-Invasive Cuff Pressure Oscillation Signals via System Identification." In ASME 2016 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/dscc2016-9785.

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This paper presents a model-based system identification approach to estimation of central aortic blood pressure waveform from non-invasive cuff pressure oscillation signals. First, we developed a mathematical model that can reproduce the relationship between central aortic blood pressure waveform and non-invasive cuff pressure oscillation signals at diametric locations by combining models to represent wave propagation in the artery, arterial pressure-volume relationship, and mechanics of the occlusive cuff. Second, we formulated the problem of estimating central aortic blood pressure waveform
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Liu, Biyue. "Pressure Drop in Curved Atherosclerotic Arteries." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-41148.

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The influence of fluid dynamics in atherogenesis has been intensively studied by many researchers (Caro et al., 1971, Giannoglou et al., 2002, Perktold et al., 1991, Qiu and Tarbell, 2000). It is widely believed that the atherosclerosis development and progression are affected by many risk factors, such as, static pressure, wall shear stress, blood viscosity flow velocity and geometry of the artery. Amongst those, static pressure plays a very important role. The objective of this work is to numerically analyze the blood flow in curved arteries with or without the presence of atherosclerotic pl
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Nandikolla, Vidya K., Marco P. Schoen, and Ajay Mahajan. "Active Foot Pressure Control for Diabetic Patients." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59549.

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Foot Ulcer in diabetic patients is a serious medical problem. A major contributor for the development of diabetic foot ulcers is a high, localized plantar foot pressure. It is believed that in diabetes the nerves in the extreme parts of the human body are damaged and cause deregulated blood flow, which may cause an insufficient blood supply. This can lead to a loss of feeling, change in shape of the feet, necrosis and ulcerations, and ultimately to partial or total amputation of the body part. The loss of feeling in the feet results in a loss of feedback to control the foot pressure distributi
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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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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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Mookerjee, Ashis, Ahmed Al-Jumaily, and Andrew Lowe. "The Effect of Various Physical Phenomena on Wave Propagations in the Human Aorta." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35213.

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A physiologically-correct mathematical model of blood flow in the human aorta is developed from previously reported experimental data. The blood is assumed as a viscous fluid flowing through a compliant tube. This phenomenon is modeled by combining the Navier-Stokes’ equations and Laplace Law. The model is validated using experimental data collected at a leading specialist catheterisation laboratory. The mathematical model is then manipulated to derive a pressure transfer function between the aortic pressure and the pressure at the iliac bifurcation. The results of a comprehensive senstivity a
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Wu, Jie, Quan Long, Shixiong Xu, Hao Gao, and Anwar R. Padhani. "Numerical Study of Tumour Blood Perfusion Based on 3D Tumour Angiogenic Microvasculatures." In ASME 2008 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2008. http://dx.doi.org/10.1115/sbc2008-192170.

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The coupling of intravascular and interstitial flow is a distinct feature of tumour microcirculation, due to the high vessel permeability, the low osmotic pressure gradient as well as the absence of functional lymphatic system inside tumours. In this paper, a coupled mathematical model of tumour blood perfusion based on 3D angiogenic vasculatures is developed, which provides the link between microvasculature and interstitial space perfusion through the matrices describing the local vascular connection (3D matrix B) and density (3D matrix A), accordingly combines the intravascular and interstit
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Wan, William, Laura Hansen, and Rudolph L. Gleason. "A 3-D Constrained Mixture Model for Vascular Growth and Remodeling." In ASME 2009 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2009. http://dx.doi.org/10.1115/sbc2009-206778.

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It is known that arteries adapt and remodel to changes in their loading conditions. Evolution of mechanical properties of blood vessels is associated with numerous chronic and acute conditions such as hypertension and coronary thrombosis. In addition, treatments such as bypass surgery create loading conditions not seen in normal arteries. Blood vessels used in coronary bypass grafts experience abnormal loading conditions in both circumferential and axial directions. Blood vessels remodel by altering structural components to restore homeostatic values of stress. Such changes may include smooth
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Shazly, Tarek, and Alexander Rachev. "The Effects of Arterial Tissue Reorganization on the Geometrical Outputs of Pressure- and Flow-Induced Remodeling: A Theoretical Study." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80086.

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Arterial remodeling in response to sustained alterations in blood pressure and/or flow induces changes in vessel geometry, structure, and composition. In conditions of hypertension and elevated blood flow, remodeling results in increased vessel mass that is distributed in a manner to maintain the local mechanical environment of the vascular cells at a baseline state. A majority of theoretical studies on remodeling have assumed that new mass is formed via a proportional production of load-bearing constituents, namely elastin, collagen, and smooth muscle. Therefore, when the vascular tissue is c
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Le Gouez, J. M. "Numerical Simulation of Non Newtonian Hemodynamics in Compliant Vessels." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93801.

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The numerical simulation of hemodynamics is increasingly recognized as a valuable analysis tool for the bioengineering laboratories who design implantable vascular grafts, and it is thought to become in a not so far future a complement to the physician’s analysis for the choice of interventional methods to restore a proper irrigation in diseased arteries [1]. The detailed numerical results obtained from 3d unsteady simulations permit to verify the hypotheses formulated by physiologists concerning the evolution of arterial disease and to quantify the risks associated to medical intervention. Th
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Reports on the topic "Blood pressure – Mathematical models"

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Agrawal, Pradeep K. Development of Kinetics and Mathematical Models for High Pressure Gasification of Lignite-Switchgrass Blends. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1346702.

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Iisa, Kristiina. Development of Kinetics and Mathematical Models for High-Pressure Gasification of Lignite-Switchgrass Blends: Cooperative Research and Development Final Report, CRADA Number CRD-11-447. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1247124.

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