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Modeling blood flow in Veins of Uniform Properties (Giraffe Jugular Vein)

Open Journal of Biophysics 2024年第2期14卷 132-153页

作者： Rogers Omboga Amenya Johanna Kibet Sigey Geoffrey Moriaso Ole Maloiy David Mwangi Theuri Department of Mathematics and Physical Sciences Dedan Kimathi University of Technology Nyeri Kenya Department of Pure and Applied Mathematics School of Mathematical Sciences Jomo Kenyatta Unversity of Agriculture and Technology Kisii Kenya Institute of Animal Physiology and Biotechnology Research University of Nairobi Nairobi Kenya

This paper models the giraffe’s jugular veins as a uniform collapsible tube from a rigid skull. The equations governing one-dimensional steady flow through such a tube for various conditions have been developed. The effects of inertial and inclination angles that have not been discussed previously have been included. It has been shown that different flows for a uniform tube (vein) are possible. However, this flow matches that of a jugular vein which is supercritical, and the steady solution has been given by the balance between the driving forces of gravity and the viscous resistance to the flow at the right atrium of the heart must be sub-critical for a fixed right-atrium pressure which means that an elastic jump is required to return the flow to sub-critical from the supercritical flow upstream this type of relationship gives rise to flow limitation at the same time given any right atrium fixed pressure there exists a maximum flow rate which when exceeded the boundary conditions of the flow do not hold boundary conditions at the right atrium are not satisfied hence making the steady flow impossible this mechanism of flow limitation is slightly different from the other one in that causes airways through forced expiration from the observation made it is clearly shown that there is an intravascular pressure difference with a change in height.

关键词： blood flow Jugular Vein Cross-Sectional Area Supercritical Subcritical Jump

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Dynamic Non-Invasive Detection of NADH Based on blood flow-Mediated Skin Fluorescence (FMSF) Method

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Open Journal of Applied Sciences 2024年第6期14卷 1437-1453页

作者： Peng Liu Tengfei Bi Gongzhi Du Long Yan Huayi Hou Hubei Key Laboratory of Optical Information and Pattern Recognition Wuhan Institute of Technology Wuhan China

Nicotinamide adenine dinucleotide (NADH/NAD+) is involved in important biochemical reactions in human metabolism, including participation in energy production by mitochondria. The changes in fluorescence intensity as a function of time in response to blocking and releasing of blood flow in a forearm are used as a measure of oxygen transport with blood to the tissue, which directly correlates with the skin microcirculation status. In this paper, a non-invasive dynamic monitoring system based on blood flow-mediated skin fluorescence (FMSF) technology is developed to monitor the NADH fluorescence intensity of skin tissue during the process of blocking reactive hyperemia. Simultaneously, laser speckle contrast imaging (LSCI) and laser Doppler flowmetry (LDF) were used to observe blood flow, blood oxygen saturation (SOt2) and relative amount of hemoglobin (rHb) during the measurement process, which helped to explore NADH dynamics relevant physiological changes. A variety of parameters have been derived to describe NADH fluorescence curve based on the FMSF device. The experimental results are conducive to understanding the NADH measurement and the physiological processes related to it, which help FMSF to be a great avenue for in vivo physiological, clinical and pharmacological research on mitochondrial metabolism.

关键词： Reduced Nicotinamide Adenine Dinucleotide (NADH) flow-Mediated Skin Fluorescence (FMSF) Laser Doppler flowmetry (LDF) blood flow

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blood flow Through a Catheterized Artery Having a Mild Stenosis at the Wall with a blood Clot at the Centre

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Computer Modeling in Engineering & Sciences 2020年第11期125卷 565-577页

作者： Anber Saleem Salman Akhtar Sohail Nadeem Alibek Issakhov Mehdi Ghalambaz Mathematics and Its Applications in Life Sciences Research Group Ton Duc Thang UniversityHo Chi Minh CityVietnam Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics Quaid-i-Azam UniversityIslamabad45320Pakistan Al-Farabi Kazakh National University Faculty of Mechanics and Mathematicsav.al-Farabi71AlmatyKazakhstan Institute of Research and Development Duy Tan UniversityDa Nang City550000Vietnam Faculty of Electrical-Electronic Engineering Duy Tan UniversityDa Nang City550000Vietnam

The blood flow through a catheterized artery having a mild stenosis at the wall together with a blood clot at the centre is studied in the current *** can occur in vessels carrying blood to brain(i.e.,Carotid arteries),Renal arteries that supply blood to kidneys *** flow is refined in such vessels by application of *** have used a Newtonian viscous fluid model and also distinct shapes of stenosis,(i.e.,symmetric and non-symmetric shapes)are considered for this *** entropy generation togetherwith viscous dissipation is also taken into account for a complete description of heat transfer *** solutions are calculated for the problem subject to given“no slip conditions”.The results are discussed *** velocity quickly increases for a non-symmetric stenosis as compared to a symmetric *** the height of mild stenosis increases and the channel becomes narrow then the velocity increases in the centre but it decreases with the stenosed ***,as the height of blood clotσincreases then the velocity of blood flow reduces with the wall having clot but it remains almost same with the stenosed *** are plotted to visualize the flow *** trapping is symmetric for a symmetric stenosis shape but it changes to non-symmetric trapping when we have a non-symmetric shape of stenosis.

关键词： blood flow catheter stenosed artery blood clot entropy

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blood flow Simulation in the Femoral Artery

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Journal of Electronic Science and Technology 2018年第3期16卷 269-279页

作者： Camilo A.Naranjo Andrés F.Villa Juan C.Vélez Ricardo A.Prato Alberto J.Cadena Juan P.Tello IPATEC Institute CONICETBariloche R8400 Integra IT Bogotá 602 the Electronic and Electric Engineering Department Universidad del NorteBarranquilla 1569 the Institute of Mathematics Universidad de AntioquiaMedellin 050010 the Cardiology Department Clínica de la CostaBarranquilla 080020

This paper presents the development of the blood flow simulation in two dimensions over the real geometry of the femoral artery. The Navier-Stokes equations are solved using the finite element method, to obtain the distributions of the blood pressure and flow velocity in multiple instants of time and different places of the femoral artery and thus determine the current condition of the blood vessels. The velocity field shows a laminar behavior,where, the velocity is higher in the center of the artery and decreases as the blood flow approaches artery walls. In spite of all artery and blood flow properties not being considered, the values of pressure and velocity obtained are within the normal ranges. Finally the model is used to verify if there exist irregularities in the blood flow in both healthy subjects and sick patients.

关键词： blood flow femoral artery finite elements Navier-Stokes pressure velocity

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blood flow AND MACROMOLECULAR TRANSPORT IN CURVED blood VESSELS

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Applied Mathematics and Mechanics(English Edition) 2006年第9期27卷 1223-1231页

作者：魏兰温功碧谭文长 Department of Mechanics and Engineering Science State Key Laboratory for Turbulence and Complex System Peking University Beijing 100871 P. R. China Institute of Applied Physics and Computational Mathematics Beijing 100088 P. R. China Department of Mechanics and Engineering Science State Key Laboratory for Turbulence and Complex System Peking University Beijing 100871 P. R. China

A numerical analysis of the steady/pulsatile flow and macromolecular （such as LDL and Albumin） transport in curved blood vessels was carried out. The computational results predict that the vortex of the secondary flow is time-dependent in the aortic arch. The concentration of macromolecule concentrates at the region of sharp curve, and the wall concentration at the outer part is higher than that at the inner part. Atherosclerosis and thrombosis are prone to develop in such regions with sharp flow.

关键词： curved blood vessels blood flow macromolecular transport atherosclerosis

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Electroosmotic oscillatory flow of micropolar fluid in microchannels:application to dynamics of blood flow in microfluidic devices

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Applied Mathematics and Mechanics(English Edition) 2014年第6期35卷 749-766页

作者： J.C.MISRA S.CHANDRA G.C.SHIT P.K.KUNDU Department of Mathematics Institute of Technical Education and ResearchSiksha O Anusandhan University Department of Mathematics Jadavpur University

The electroosmotic flow of a micropolar fluid in a microchannel bounded by two parallel porous plates undergoing periodic vibration is studied. The equations for conservation of linear and angular momentums and Gauss＇s law of charge distribution are solved within the framework of the Debye-Hückel approximation. The fluid velocity and microrotation are assumed to depend linearly on the Reynolds number. The study shows that the amplitude of microrotation is highly sensitive to the changes in the magnitude of the suction velocity and the width of the microchannel. An increase in the micropolar parameter gives rise to a decrease in the amplitude of microrotation. Numerical estimates reveal that the microrotation of the suspended microelements in blood also plays an important role in controlling the electro-osmotically actuated flow dynamics in microbio-fluidic devices.

关键词： blood flow electrohydrodynamic effect microfluidics channel flow

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blood flow of Carreau fluid in a tapered artery with mixed convection

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International Journal of Biomathematics 2014年第6期7卷 147-166页

作者： Noreen Sher Akbar DBSSJH CEMENational University of Sciences and Technology Islamabad Pakistan

This research is concerned with the mathematical modeling and analysis of blood flow in a tapered artery with stenosis. The analysis has been carried out in the presence of heat and mass transfer. Constitutive equation of Carreau fluid has been invoked in the mathematical formulation. The representation of blood flow is considered through an axially non-symmetrical but radially symmetric stenosis. Symmetry of the distribution of the wall, shearing stress and resistive impectartce and their growth with the developirtg stenosis is given due attention. Solutions have been obtained for the velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. Graphical illustrations associated with the tapered arteries namely converging, diverging and non-tapered arteries are examined for different parameters of interest. Streamlines have been plotted and discussed.

关键词： Carreau fluid blood flow tapered artery mixed convection heat.

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blood flow analysis in tapered stenosed arteries with pseudoplastic characteristics

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International Journal of Biomathematics 2014年第6期7卷 89-106页

作者： Noreen Sher Akbar S. Nadeem National University of Sciences and Technology Islamabad Pakistan Department of MathematicsQuaid-i-Azam University 45320 Islamabad 44000 Pakistan

In this paper, the blood flow through a tapered artery with a stenosis by considering axially non-symmetric but radially symmetric mild stenosis on blood flow characteristics is analyzed, assuming the flow is steady and blood is treated as Williamson fluid. Per- turbation solutions have been evaluated for velocity, resistance impedance, wall shear stress and shearing stress at the stenosis throat. The graphical results of different type of tapered arteries （i.e. converging tapering, diverging tapering, non-tapered artery） have been examined for different parameters of interest.

关键词： Williamson fluid blood flow tapered artery stenosis perturbation solution.

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The micropolar fluid model for blood flow through a tapered artery with a stenosis

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Acta Mechanica Sinica 2008年第6期24卷 637-644页

作者： Kh.S.Mekheimer M.A.El Kot Department of Mathematics Faculty of ScienceAl-Azhar UniversityNasr CityCairo 11884Egypt Department of Mathematics Faculty of EducationSuez Canal UniversitySuezEgypt

A micropolar model for axisymmetric blood flow through an axially nonsymmetreic but radially symmetric mild stenosis tapered artery is presented. To estimate the effect of the stenosis shape, a suitable geometry has been considered such that the axial shape of the stenosis can be changed easily just by varying a parameter （referred to as the shape parameter）. The model is also used to study the effect of the taper angle Ф. flow parameters such as the velocity, the resistance to flow （the resistance impedance）, the wall shear stress distribution in the stenotic region and its magnitude at the maximum height of the stenosis （stenosis throat） have been computed for different values of the shape parameter n, the taper angle Ф, the coupling number N and the micropolar parameter m. It is shown that the resistance to flow decreases with increasing the shape parameter n and the micropolar parameter m while it increases with increasing the coupling number N. So, the magnitude of the resistance impedance is higher for a micropolar fluid than that for a Newtonian fluid model. Finally, the velocity profile, the wall shear stress distribution in the stenotic region and its magnitude at the maximum height of the stenosis are discussed for different values of the parameters involved on the problem.

关键词： Micropolar fluid blood flow Tapered artery

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Thermogram-based estimation of foot arterial blood flow using neural networks

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Applied Mathematics and Mechanics(English Edition) 2023年第2期44卷 325-344页

作者： Yueping WANG Lizhong MU Ying HE School of Energy and Power Engineering Dalian University of TechnologyDalian 116023Liaoning ProvinceChina State Power Investment Corporation Northeast Electric Power Co. Ltd.Shenyang 110181China

The altered blood flow in the foot is an important indicator of early diabetic foot ***,it is challenging to measure the blood flow at the whole foot *** study presents an approach for estimating the foot arterial blood flow using the temperature distribution and an artificial neural *** quantify the relationship between the blood flow and the temperature distribution,a bioheat transfer model of a voxel-meshed foot tissue with discrete blood vessels is established based on the computed tomography(CT)sequential images and the anatomical information of the vascular *** our model,the heat transfer from blood vessels and tissue and the inter-domain heat exchange between them are considered thoroughly,and the computed temperatures are consistent with the experimental *** data are then used to train a neural network to determine the foot arterial blood *** trained network is able to estimate the objective blood flow for various degrees of stenosis in multiple blood vessels with an accuracy rate of more than 90%.Compared with the Pennes bioheat transfer equation,this model fully describes intra-and inter-domain heat transfer in blood vessels and tissue,closely approximating physiological *** introducing a vascular component to an inverse model,the blood flow itself,rather than blood perfusion,can be estimated,directly informing vascular health.

关键词： diabetic foot thermal analysis blood flow inverse method neural network

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