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arXiv 2602.10011physics.med-phq-bio.OT

向血压调节的拓扑视角迈进

Towards a topological view of blood pressure regulation

Arturo Tozzi

AI总结:

研究通过拓扑学视角揭示血管环路对血压调节的影响,解释了局部干预可能失效的原因,并提供了难治性高血压的理论依据。

摘要:

血压调节通常以局部机制如血管阻力、顺应性和神经体液控制来阐述。然而,人体血管在生理和病理条件下包含多个近似封闭的流动环路。为了测试这些环路是否能在局部控制之外影响压力动态,我们探讨了血管拓扑学在血压调节中的作用。利用一维流体模拟模型,我们比较了开放血管段和封闭血管环路中的压力动态。我们发现,在开放段中压力会逐渐消失并保持空间局部化,而在封闭环路中,即使某个位置的阻力发生变化,压力仍可在环路中持续循环。由于环路内的并行路径是动态耦合而非独立的,一处的压力变化会影响整个封闭环路,使系统层面的压力模式得以显现。此外,我们评估了在正常血压和高血压参数条件下,封闭血管环路内压力波动的时间演变,以及在环路破裂干预前后的变化。这种拓扑方法有助于阐明为何药物或局部干预可能无法降低环状血管架构中的血压,为某些形式的难治性高血压提供了理论解释。由于破坏环路可恢复压力松弛,它也可能帮助解释拓扑改变事件如血栓形成、血管手术或动脉静脉畸形和分流的栓塞后观察到的不成比例压力变化。因此,血管拓扑学可通过将局部压力流关系与血压调节的全局约束耦合,影响心血管生理,具有生理、病理和临床意义。

英文摘要:

Blood pressure regulation is commonly addressed in terms of local mechanisms such as vascular resistance, compliance and neurohumoral control. However, the human vasculature encompasses multiple quasi-closed flow loops under both physiological and pathological conditions. To test whether these loops could influence pressure dynamics beyond local control, we address the role of vascular topology in blood pressure regulation. Using one dimensional flow simulation models, we compared pressure dynamics in open vascular segments and closed vascular loops. We found that in open segments pressure fades away and remains spatially localized, whereas in closed loops pressure can keep circulating around the loop even if resistance in one spot is modified. Since parallel pathways within loops are dynamically coupled rather than independent, pressure changes in one place can affect the entire closed loop, allowing system level pressure patterns to emerge. Also, we assessed the temporal evolution of pressure fluctuations within closed vascular loops in normotensive and hypertensive parameter regimes, before and after loop breaking intervention. This topological approach helps clarifying why drugs or local interventions may fail to lower blood pressure in looped vascular architectures, providing a theoretical interpretation of some forms of resistant hypertension. Because disrupting a loop restores pressure relaxation, it may also help explain the disproportionate pressure changes observed after topology altering events like thrombosis, vascular surgery or embolization of arteriovenous malformations and shunts. Therefore, vascular topology can influence cardiovascular physiology by coupling local pressure flow relations to global constraints on blood pressure regulation, with physiological, pathological and clinical implications.

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