Advection, diffusion, and delivery over a network.
Advection, diffusion, and delivery over a network.
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DOI：
10.1103/physreve.86.021905
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发表时间：
2012-08
期刊：
影响因子：
--
通讯作者：
Jones NS
中科院分区：
文献类型：
--
作者：
Heaton LL;López E;Maini PK;Fricker MD;Jones NS
许多生物、地球物理和技术系统都涉及通过网络运输资源。在本文中，我们提出了一个算法，用于计算在空间或时间的任何点的资源的精确浓度，给定的网络中的资源是丢失或交付出网络以给定的速率，而受到平流和扩散。我们认为平流，扩散和交付的影响，通过血管网络的葡萄糖输送的简单模型，并得出结论，在某些情况下，增加血液的体积和葡萄糖转运蛋白的数量实际上可以降低葡萄糖输送的总速率。我们还考虑了经验确定的真菌网络的情况下，并分析了随着时间的推移，这种网络的增长出现的资源分布。真菌生长涉及充满液体的血管的扩张，这必然涉及液体的运动。在三个经验确定的真菌网络中，我们发现与观察到的生长一致的最小电流将在整个网络中有效地传输资源。这表明，在觅食真菌中，在生长尖端观察到的主动运输机制可能不需要长距离运输。
Many biological, geophysical and technological systems involve the transport of resource over a network. In this paper we present an algorithm for calculating the exact concentration of resource at any point in space or time, given that the resource in the network is lost or delivered out of the network at a given rate, while being subject to advection and diffusion. We consider the implications of advection, diffusion and delivery for simple models of glucose delivery through a vascular network, and conclude that in certain circumstances, increasing the volume of blood and the number of glucose transporters can actually decrease the total rate of glucose delivery. We also consider the case of empirically determined fungal networks, and analyze the distribution of resource that emerges as such networks grow over time. Fungal growth involves the expansion of fluid filled vessels, which necessarily involves the movement of fluid. In three empirically determined fungal networks we found that the minimum currents consistent with the observed growth would effectively transport resource throughout the network over the time-scale of growth. This suggests that in foraging fungi, the active transport mechanisms observed in the growing tips may not be required for long range transport.