Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska, Poznań, Poland.
Department of Biophysics and Morphogenesis of Plants, University of Silesia in Katowice, Jagiellońska, Katowice, Poland.
J Exp Bot. 2019 Jul 23;70(14):3601-3613. doi: 10.1093/jxb/erz210.
Plant morphogenesis may be characterized by complex feedback mechanisms between signals specifying growth and by the growth of the plant body itself. Comprehension of such feedback mechanisms is an ongoing research task and can be aided with formal descriptions of morphogenesis. In this review, we present a number of established mathematical paradigms that are useful to the formal representation of plant shape, and of biomechanical and biochemical signaling. Specifically, we discuss work from a range of research areas including plant biology, material sciences, fluid dynamics, and computer graphics. Treating plants as organized systems of information processing allows us to compare these different mathematical methods in terms of their expressive power of biological hypotheses. This is an attempt to bring together a large number of computational modeling concepts and make them accessible to the analytical as well as empirical student of plant morphogenesis.
植物形态发生可以通过指定生长的信号和植物自身生长之间的复杂反馈机制来描述。对这种反馈机制的理解是一个正在进行的研究任务，可以通过形态发生的形式描述来辅助。在这篇综述中，我们提出了一些已建立的数学范例，这些范例对植物形状的形式化表示以及生物力学和生化信号的形式化表示是有用的。具体来说，我们讨论了来自一系列研究领域的工作，包括植物生物学、材料科学、流体动力学和计算机图形学。将植物视为信息处理的有组织系统，使我们能够根据其对生物学假设的表达能力来比较这些不同的数学方法。这是试图将大量计算建模概念结合起来，使它们能够被植物形态发生的分析和经验学生所接受。
