糖尿病病症血管建模及其有力分析

S. Vivekanandan, T. Chandra, Radha Mehta, R. Ganesh
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摘要

糖尿病是一种大流行病,也是一个全球关注的问题,需要立即引起重视。因此,本文由三部分组成,分别针对糖尿病这一疾病,即用 MATLAB 建立数学模型来定性检测糖尿病。Cogent 分析是糖尿病理论知识和糖尿病患者实际调查的结合,用于确定其影响因素。在 COMSOL MULTPHYSICS 4.2a 中创建了血管结构模型,以展示葡萄糖在血管壁上的沉积,进而阻碍血液流动。使用 MATLAB 来改变血液中的葡萄糖浓度,并在 MATLAB 上获得 COMSOL 中创建的模型的速度曲线,表明葡萄糖浓度与血液速度之间存在反比关系。流向神经的血流量减少会损害神经功能,从而导致糖尿病神经病变。本文首次论述了糖尿病病症的各个方面及其严重后果,提出了有关糖尿病的全面观点,并将有力的分析与数学和结构建模相结合。
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Modeling of blood vessel for diabetic disorder and its cogent analysis
Diabetes is a pandemic and a matter of global concern, which requires immediate attention and therefore this paper comprises three parts, which address the disorder namely mathematical modeling in MATLAB to detect diabetes qualitatively. Cogent analysis, a confluence of theoretical knowledge of diabetes and real life survey of diabetic patients is used to determine its influential factors. Structural model of blood vessel in COMSOL MULTPHYSICS 4.2a is created to demonstrate the deposition of glucose on the walls of the blood vessel, which in turn hinders the blood flow. MATLAB is used to vary the concentration of glucose in the blood and a velocity profile of the model created in COMSOL is obtained on MATLAB indicating an inverse relation between glucose concentration and velocity of blood. This reduced blood flow to the nerves impairs their functioning, thereby causing diabetic neuropathy. This paper is first of its kind as it deals with various aspects of diabetic disorder, its serious consequences and presents a comprehensive idea about diabetes, which combines cogent analysis with mathematical and structural modeling.
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