PHYLLOTAXIS AND FIBONACCI SERIES
PHYLLOTAXIS AND FIBONACCI SERIES
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DOI：
10.1126/science.196.4287.270
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发表时间：
1977-01-01
期刊：
影响因子：
56.9
通讯作者：
MITCHISON, GJ
中科院分区：
文献类型：
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作者：
MITCHISON, GJ
斐波那契叶序遵循数学的必要性，从一个扩大的顶点和一个合适的间距机制定位新叶的组合。在一定程度上考虑了抑制间隔机制，因为它是一个合理的候选者。同样的处理同样适用于通过发育叶子消耗或竞争化合物，并且可以容纳其他成分。当假设只有2个叶片（触点）定位新叶片时，所涉及的数学原理是清楚的。有一些实验证据支持这一假设，但它不是斐波那契叶序的先决条件，因为计算机模型显示，即使在给定的点上有许多叶子有助于抑制，也会产生这种模式。斐波那契模式似乎是一种稳定的数学现象，在整个植物王国中广泛存在。
Fibonacci phyllotaxis follows as a mathematical necessity from the combination of an expanding apex and a suitable spacing mechanism for positioning new leaves. An inhibitory spacing mechanism was considered at some length, as it is a plausible candidate. The same treatment would apply equally well to depletion of, or competition for, a compound by developing leaves, and could accommodate other ingredients. The mathematical principles involved are clear when it is assumed that only 2 leaves (the contacts) position a new leaf. There is some experimental evidence for this assumption but it is not a precondition for Fibonacci phyllotaxis, since a computer model shows that this pattern is generated even when many leaves contribute to inhibition at a given point. The Fibonacci pattern seems to be a stable mathematical phenomenon with widespread occurrence throughout the plant kingdom.