School of Mathematical Sciences, Fudan University, 200433, Shanghai, China.
State Key Laboratory of Medical Neurobiology and MOE Frontiers Center for Brain Science, Institutes of Brain Science, Fudan University, 200032, Shanghai, China.
Nat Commun. 2021 Oct 8;12(1):5894. doi: 10.1038/s41467-021-26182-2.
Biorhythm including neuron firing and protein-mRNA interaction are fundamental activities with diffusive effect. Their well-balanced spatiotemporal dynamics are beneficial for healthy sustainability. Therefore, calibrating both anomalous frequency and amplitude of biorhythm prevents physiological dysfunctions or diseases. However, many works were devoted to modulate frequency exclusively whereas amplitude is usually ignored, although both quantities are equally significant for coordinating biological functions and outputs. Especially, a feasible method coordinating the two quantities concurrently and precisely is still lacking. Here, for the first time, we propose a universal approach to design a frequency-amplitude coordinator rigorously via dynamical systems tools. We consider both spatial and temporal information. With a single well-designed coordinator, they can be calibrated to desired levels simultaneously and precisely. The practical usefulness and efficacy of our method are demonstrated in representative neuronal and gene regulatory models. We further reveal its fundamental mechanism and optimal energy consumption providing inspiration for biorhythm regulation in future.
生物节律包括神经元放电和蛋白质-mRNA 相互作用，是具有扩散效应的基本活动。它们的时空动力学平衡有利于健康的可持续性。因此，校准生物节律的异常频率和幅度可以预防生理功能障碍或疾病。然而，许多工作都致力于专门调节频率，而幅度通常被忽略，尽管这两个数量对于协调生物功能和输出同样重要。特别是，目前仍然缺乏一种可行的方法来同时精确地协调这两个数量。在这里，我们首次提出了一种通过动力学系统工具严格设计频率-幅度协调器的通用方法。我们考虑了空间和时间信息。通过一个设计良好的协调器，它们可以同时精确地被校准到所需的水平。我们的方法在代表性的神经元和基因调控模型中展示了其实用性和有效性。我们进一步揭示了其基本机制和最优能量消耗，为未来的生物节律调节提供了启示。
