标题： 外部压力与毛细血管血流的耦合建模：血管弹性与塌陷效应的非线性动力学 显示英文标题

标题： Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects

摘要： 外部压力显著影响微循环毛细血管血流，但目前的研究缺乏定量模型。 本研究提出了一种外部压力与毛细血管流量之间的非线性分段耦合模型，结合了血管弹性和塌陷效应。 压力-流量响应分为三个阶段：低压力下的弹性压缩（小于30 mmHg），过渡区的椭圆形塌陷（30至40 mmHg），以及高压下的闭合诱导衰减（高于40 mmHg），每个阶段都推导出了显式表达式。 参数敏感性分析和与文献的比较证明了该模型在捕捉关键决定因素方面的能力。 所提出的框架支持基于压力的治疗（如止血带和加压服装）中的剂量反应评估和个性化参数调整。 显示英文摘要

摘要： External pressure significantly influences microcirculatory capillary blood flow, yet current studies lack quantitative modeling. This work proposes a nonlinear segmented coupling model between external pressure and capillary flow, incorporating vascular elasticity and collapse effects. The pressure-flow response is divided into three phases: elastic compression under low pressure (less than 30 mmHg), elliptical collapse in the transition zone (30 to 40 mmHg), and closure-induced attenuation under high pressure (above 40 mmHg), with explicit expressions derived for each. Parameter sensitivity analysis and comparison with literature demonstrate the model's capability in capturing key determinants. The proposed framework supports dose-response assessment and individualized parameter tuning in pressure-based therapies such as tourniquets and compression garments.