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Updated: Aug 19, 2026

Microfluidic Model to Mimic Initial Event of Neovascularization
Published on: April 10, 2021
A nonlinear coupled model of capillary blood flow under external pressure considering vascular elasticity and
Xinyi Cai1, Hanyue Mo2, Yuyao Chang3
1College of Life Sciences, China Jiliang University, Hangzhou, Zhejiang Province, China.
Abstract:
External pressure alters microcirculatory blood flow, yet quantitative pressure-flow models remain limited. We develop a nonlinear three-stage coupling model unifying vascular elasticity and progressive collapse. A smooth transition function bridges the elastic, transitional, and collapse-dominant regimes, eliminating discontinuities in conventional piecewise models. The model reveals stage-specific control: stiffness dominates low-pressure flow, collapse pressure scale governs the transition, and attenuation coefficient controls high-pressure flow. Sensitivity analysis identifies nonlinear coupling between vessel radius and stiffness, together with synergistic geometric and collapse effects. These findings provide a quantitative framework for pressure-induced microvascular flow regulation and pressure-based therapeutic optimization.
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