发展跃迁反应扩散模型中的尺寸调节对称破缺
Size-regulated symmetry breaking in reaction-diffusion models of developmental transitions
摘要：
多细胞生物的发育是通过一系列形态发生和细胞状态的转变进行的，通过自组织的过程将同质合子转化为复杂的成体。这些转变中的许多是通过自发对称性破缺机制实现的，允许细胞和组织凭借局部相互作用获得模式和极性，而无需上游信息供应。理论和实验的结合工作已经阐明了这些系统如何在发育过渡期间打破对称性。鉴于这种转变是多方面的，其时间顺序是至关重要的，一个同样重要的问题是如何协调这些发展的过渡时间。使用最小质量守恒的对称性破缺的底物耗尽模型作为我们的案例研究，我们阐明了细胞和组织的机制，可以耦合反应扩散驱动的对称性破缺的发育过渡的时间，认为图案模式对系统大小的依赖可能是一个通用的原则，发展中的生物体测量时间。通过分析我们的模型的不同制度，在不断增长的领域模拟，我们阐述了三个不同的行为，允许时钟，定时器，或开关样的动态。通过将这些行为与实验记录的发育时序案例研究相关联，我们提供了一个最小的概念框架来询问发育中的生物体如何协调发育过渡。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
