论文标题
侧面的非线性启动 - 通过激活剂抑制剂 - 基底（图灵）形态发生分支
The nonlinear initiation of side--branching by activator-inhibitor-substrate (Turing) morphogenesis
论文作者
论文摘要
对侧面的基本机制的理解 - 分支对于控制和/或治疗治疗哺乳动物器官（例如肺，肾脏和腺体）至关重要。由激活剂抑制剂 - 基底方法猜想以主导侧面的启动 - 肺部血管模式的分支，我证明了一个明显的横向前部不稳定性，其中新的手指从前线的振荡分解动力学中生长出来，而无需任何典型的长度尺度。这两个特征归因于1D中不稳定的峰溶液，从图灵分叉中散发出亚批判性，并且表现出排斥的相互作用。结果基于分叉分析和数值模拟，并为开发侧面框架提供了潜在的策略 - 以及其他生物系统（例如植物根和细胞突起）的分支。
An understanding of the underlying mechanism of side--branching is paramount in controlling and/or therapeutically treating mammalian organs, such as lungs, kidneys, and glands. Motivated by an activator-inhibitor-substrate approach that is conjectured to dominate the initiation of side--branching in pulmonary vascular pattern, I demonstrate a distinct transverse front instability in which new fingers grow out of an oscillatory breakup dynamics at the front line, without any typical length scale. These two features are attributed to unstable peak solutions in 1D that subcritically emanate from the Turing bifurcation and that exhibit repulsive interactions. The results are based on a bifurcation analysis and numerical simulations, and provide a potential strategy toward developing a framework of side--branching also of other biological systems, such as plant roots and cellular protrusions.
