# Mathematical models of blood flow alterations-

Skip to content. Skip to navigation. These strokes are mainly caused by blockages in the arteries, which form due to the build-up of fatty deposits. The partial occlusion of the arteries due to stenosis obstruction, not only restricts the regular blood flow, but also characterizes the hardening and thickening of the arterial wall. This alters the blood flow dynamics, resulting in alterations of the functioning of various organs.

Konerding, C. Kumar Anamaya,pp. The scientific community continues to accrue evidence that blood flow alterations and ischemic conditions alteratjons the retina play an important role in the pathogenesis of ocular diseases. This analysis shows that: 1 systemic arterial blood pressure has a strong influence on Mathematical models of blood flow alterations [Formula: see text] profiles in both blood and tissue; 2 plasma viscosity and metabolic consumption rates have a strong influence on the [Formula: see text] tension at the level of the retinal ganglion cells; and 3 arterial [Formula: see text] permeability has a strong influence on the [Formula: see text] saturation in the retinal arterioles. Mathematical modeling of blood flow alteration in microcirculatory network due to angiogenesis. Filed under: Lecture.

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European Journal Mathejatical Ophthalmology. Saffitz, C. Brown, L. Access to Document Medzhitov, Evolution of inflammatory diseases. World Glaucoma Association Consensus Series. Sequeira, Absorbing boundary conditions for a 3D non-Newtonian fluid-structure interaction model for blood flow in arteries. Weinreb R, Mathematical models of blood flow alterations A Ocular blood flow in glaucoma. McQueen, A three-dimensional computational method omdels blood flow in the heart — I Immersed elastic fibers in Sex offender lincoln nc registry viscous incompressible fluid. Li, S. Hou, B. Ganesan P, He S, Xu H b Analysis of retinal circulation using an image-based network model of retinal vasculature. Blood flow mechanics and oxygen transport and delivery in the retinal microcirculation: multiscale mathematical modeling and numerical simulation. Glowinski, T. Saldanha, O.

Lobachevskii Journal of Mathematics.

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Skip to content. Skip to navigation. These strokes are mainly caused by blockages in the arteries, which form due to the build-up of fatty deposits. The partial occlusion of the arteries due to stenosis obstruction, not only restricts the regular blood flow, but also characterizes the hardening and thickening of the arterial wall.

This alters the blood flow dynamics, resulting in alterations of the functioning of various organs. Modelling of blood flow circulation in the human body is a challenging task. The human body is an organism consisting of cells, the size scale of which ranges from several micrometers to several nanometers. The mobility behaviors of the blood flow in an annulus with stenosis on flexible tapered blood vessel wall have been studied through a mathematical model.

Blood is modelled as an incompressible polar fluid. The influence of various parameters which are arising out of the fluid and geometry considered, on the blood flow characteristics are analyzed. The mathematical understanding of the physiological fluid flow through unhealthy arteries with flexible walls is deemed to be a great help in the treatment of vascular diseases and also the biomedical engineers who are engaged in the design and development of artificial organs.

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Anand, J. Szabo, F. Quigley M, Cohen S A new pressure attenuation index to evaluate retinal circulation: a link to protective factors in diabetic retinopathy. McDaniel, J. Taylor, A. In: European Journal of Ophthalmology.

### Mathematical models of blood flow alterations. The role of mathematical modeling

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Author information: 1 Dipartimento di Matematica "F. Blackford St. Michigan St. The scientific community continues to accrue evidence that blood flow alterations and ischemic conditions in the retina play an important role in the pathogenesis of ocular diseases. Many factors influence retinal hemodynamics and tissue oxygenation, including blood pressure, blood rheology, oxygen arterial permeability and tissue metabolic demand. Since the influence of these factors on the retinal circulation is difficult to isolate in vivo, we propose here a novel mathematical and computational model describing the coupling between blood flow mechanics and oxygen [Formula: see text] transport in the retina.

Capillary plexi, originating from terminal arterioles and converging into smaller venules, are embedded in two distinct tissue layers. Arteriolar and venular networks are represented by fractal trees, whereas capillary plexi are represented using a simplified lumped description.

In the model, [Formula: see text] is transported along the vasculature and delivered to the tissue at a rate that depends on the metabolic demand of the various tissue layers. First, the model is validated against available experimental results to identify baseline conditions. Then, a sensitivity analysis is performed to quantify the influence of blood pressure, blood rheology, oxygen arterial permeability and tissue oxygen demand on the [Formula: see text] distribution within the blood vessels and in the tissue.

This analysis shows that: 1 systemic arterial blood pressure has a strong influence on the [Formula: see text] profiles in both blood and tissue; 2 plasma viscosity and metabolic consumption rates have a strong influence on the [Formula: see text] tension at the level of the retinal ganglion cells; and 3 arterial [Formula: see text] permeability has a strong influence on the [Formula: see text] saturation in the retinal arterioles.

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