脆弱性曲线下的拟合矩形：植物的最佳水流量
Fitting rectangles under vulnerability curves: optimal water flow through plants
摘要：
我们研究了一个最优化问题的模型，稳态水通过植物的运输，最大限度地提高水流量的限制，由于脆弱性栓塞（空气堵塞的管道）的水力传导。该模型有一个基本的几何解释，并表现出瓶颈的行为，其中一个工厂的部分限制了整体的最佳流量，有时在一个违反直觉的方式。结果表明，与实验测量结果良好的协议，并提供支持的假设，叶作为一个安全缓冲保护茎过度栓塞。
英文摘要：
We study an optimization problem for a model of steady state water transport through plants that maximizes water flow subject to the constraints on hydraulic conductance due to vulnerability to embolism (air blockage of conduits). The model has an elementary geometric interpretation, and exhibits bottleneck behavior where one of the plant segments limits the overall optimal flow, sometimes in a counterintuitive way. The results show good agreement with experimental measurements and provide support for the hypothesis that leaves serve as a safety buffer protecting stems against excessive embolism.
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