论文标题

在发育过渡的反应扩散模型中尺寸调节的对称性破坏

Size-regulated symmetry breaking in reaction-diffusion models of developmental transitions

论文作者

Scoones, Jake Cornwall, Banerjee, Deb Sankar, Banerjee, Shiladitya

论文摘要

多细胞生物的发展通过一系列形态发生和细胞状态过渡进行,通过自我组织的过程将同质的Zygotes转化为复杂的成年人。这些转变中的许多是通过自发对称性破坏机制来实现的,从而使细胞和组织可以通过局部相互作用而没有上游信息供应来获得模式和极性。理论和实验的综合工作已经阐明了这些系统在发育过渡过程中如何打破对称性。鉴于此类过渡是多重的,它们的时间顺序至关重要,因此同样重要的问题是这些发展过渡如何及时协调。使用最小的质量保存的底物止血模型作为对称性破坏我们的案例研究,我们阐明了细胞和组织可以将反应 - 扩散驱动的对称性对称分解到发育过渡的时机的机制,认为构图对系统大小的依赖性可能是一种通用原理,可以通过这种原理来测量生物体的时间。通过分析模型的不同制度,模拟了生长域,我们详细阐述了三种不同的行为,从而允许时钟,计时器或类似开关的动力学。通过将这些行为与实验记录的发育时机研究联系起来,我们提供了一个最小的概念框架,以询问发展生物如何协调发育过渡。

The development of multicellular organisms proceeds through a series of morphogenetic and cell-state transitions, transforming homogeneous zygotes into complex adults by a process of self-organization. Many of these transitions are achieved by spontaneous symmetry breaking mechanisms, allowing cells and tissues to acquire pattern and polarity by virtue of local interactions without an upstream supply of information. The combined work of theory and experiment has elucidated how these systems break symmetry during developmental transitions. Given such transitions are multiple and their temporal ordering is crucial, an equally important question is how these developmental transitions are coordinated in time. Using a minimal mass-conserved substrate-depletion model for symmetry breaking as our case study, we elucidate mechanisms by which cells and tissues can couple reaction-diffusion driven symmetry breaking to the timing of developmental transitions, arguing that the dependence of patterning mode on system size may be a generic principle by which developing organisms measure time. By analyzing different regimes of our model, simulated on growing domains, we elaborate three distinct behaviours, allowing for clock-, timer-, or switch-like dynamics. By relating these behaviours to experimentally documented case studies of developmental timing, we provide a minimal conceptual framework to interrogate how developing organisms coordinate developmental transitions.

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