Kadiyala Usha, Sprinzak David, Monk Nicholas A M, Taylor Shannon E, Verd Berta, Sonnen Katharina F, Moon Lauren, Roeder Adrienne H K, Perez-Carrasco Ruben, Formosa-Jordan Pau
Department of Biophysics, University of Michigan, Ann Arbor, MI 48109, USA.
School of Neurobiology, Biochemistry, and Biophysics, George S. Wise Faculty of Life Science, Tel Aviv University, Tel Aviv 69978, Israel.
Development. 2025 Jul 15;152(14). doi: 10.1242/dev.204617. Epub 2025 Aug 1.
Developmental biology seeks to unravel the intricate regulatory mechanisms orchestrating the transformation of a single cell into a complex, multicellular organism. Dynamical systems theory provides a powerful quantitative, visual and intuitive framework for understanding this complexity. This Primer examines five core dynamical systems theory concepts and their applications to pattern formation during development: (1) analysis of phase portraits, (2) bistable switches, (3) stochasticity, (4) response to time-dependent signals, and (5) oscillations. We explore how these concepts shed light onto cell fate decision making and provide insights into the dynamic nature of developmental processes driven by signals and gradients, as well as the role of noise in shaping developmental outcomes. Selected examples highlight how integrating dynamical systems with experimental approaches has significantly advanced our understanding of the regulatory logic underlying development across scales, from molecular networks to tissue-level dynamics.
发育生物学试图揭示将单个细胞转变为复杂多细胞生物体的错综复杂的调控机制。动力系统理论为理解这种复杂性提供了一个强大的定量、可视化且直观的框架。本入门文章探讨了动力系统理论的五个核心概念及其在发育过程中模式形成方面的应用:(1)相图分析,(2)双稳开关,(3)随机性,(4)对时间依赖性信号的响应,以及(5)振荡。我们探究这些概念如何阐明细胞命运决定,并深入了解由信号和梯度驱动的发育过程的动态本质,以及噪声在塑造发育结果中的作用。精选的例子突出了将动力系统与实验方法相结合如何显著推进了我们对从分子网络到组织水平动力学等不同尺度发育背后调控逻辑的理解。