Mathematical principles and models of plant growth mechanics: from cell wall dynamics to tissue morphogenesis.

Mathematical principles and models of plant growth mechanics: from cell wall dynamics to tissue morphogenesis.
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植物生长力学的数学原理和模型:从细胞壁动力学到组织形态发生。

DOI:
10.1093/jxb/erz253
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发表时间:
2019
影响因子:
6.9
通讯作者:
Smithers ET
Smithers ET
中科院分区:
生物学1区
文献类型:
--
作者:
Smithers ET

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植物生长研究产生了一系列复杂的开放性问题。我们认为,植物生长是一个高度机械化的过程,数学给出了一个基本的框架,探索其基本的未揭示的机制。这篇评论旨在说明数学建模所提供的生物学见解,并展示植物科学中数学丰富的问题的广度,从而促进跨学科的相互欣赏。一方面,我们解释了机械生长模型背后的一般数学原理;另一方面,我们描述了建模如何解决微尺度细胞壁力学,尖端生长,形态发生和应力反馈中的具体问题。最后,我们确定了生物学家和数学家未来可能的发展方向,包括各种主题中尚未回答的问题,强调跨学科合作对于应对理解植物生长机制的挑战至关重要。
Plant growth research produces a catalogue of complex open questions. We argue that plant growth is a highly mechanical process, and that mathematics gives an underlying framework with which to probe its fundamental unrevealed mechanisms. This review serves to illustrate the biological insights afforded by mathematical modelling and demonstrate the breadth of mathematically rich problems available within plant sciences, thereby promoting a mutual appreciation across the disciplines. On the one hand, we explain the general mathematical principles behind mechanical growth models; on the other, we describe how modelling addresses specific problems in microscale cell wall mechanics, tip growth, morphogenesis, and stress feedback. We conclude by identifying possible future directions for both biologists and mathematicians, including as yet unanswered questions within various topics, stressing that interdisciplinary collaboration is vital for tackling the challenge of understanding plant growth mechanics.
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发表时间: 2012-08-21
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