A frequency-amplitude coordinator and its optimal energy consumption for biological oscillators

Bo-Wei Qin (), Lei Zhao and Wei Lin ()
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Bo-Wei Qin: Fudan University
Lei Zhao: Fudan University
Wei Lin: Fudan University

Nature Communications, 2021, vol. 12, issue 1, 1-13

Abstract: Abstract 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.

Date: 2021
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DOI: 10.1038/s41467-021-26182-2

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