在瘤感染的食道中吞的分析和比较研究:数学模型
Sanjay Kumar Pandey1, Ankit Prajapati2
1Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh, 221005, India. skpandey.apm@itbhu.ac.in.
Journal of mathematical biology
|March 2, 2024
概括
这项研究用数学模型对食道瘤进行诊断,通过分析周围静脉流来诊断. 结果显示瘤导致压力显著增加,证实了吞困难.
科学领域:
- 生物医学工程 生物医学工程
- 流体动力学 流体动力学
- 数学建模的数学建模
背景情况:
- 消化道中的围静流对于营养物质的运输至关重要.
- 瘤可以阻碍正常的食道功能,影响吞.
- 需要数学模型来理解疾病状态中的流动动力学.
研究的目的:
- 开发一种用于诊断食道瘤的数学模型.
- 分析瘤存在对围静脉流特征的影响.
- 为了研究瘤影响食道的压力变化和流动行为.
主要方法:
- 使用长波长和低雷诺德数的近似方法,用于不稳定的流量.
- 模拟瘤作为通用的功能.
- 采用数值集成来分析流量参数并生成图表.
主要成果:
- 食道瘤显著增加其宽度的压力,与吞障碍相关.
- 瘤的位置 (收缩与放松阶段) 影响流动动力学.
- 由于瘤的存在,计算了墙壁剪切应力,体积流速和流线的变化.
结论:
- 数学模型提供了基于流量变化的食道瘤的诊断机制.
- 增加的压力和改变的流动模式证实了瘤引起的吞困难的物理基础.
- 该模型在工业二维通道流量分析中具有潜在的应用.
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