An innovative combinatorial coordination ratio perturbation approach for decoupled period-amplitude modulation

May 23, 2026Journal of biological physics

A new method to independently change timing and size in combined rhythm patterns

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Abstract

A combinatorial coordination ratio perturbation approach can independently modulate the period and amplitude of biological rhythms.

Biological rhythms are characterized by two key traits: period and amplitude.
Decoupling the control of period and amplitude is typically challenging due to their interdependencies.
The proposed method integrates correlation analysis and Taylor expansion to identify perturbation combinations.
Mathematical demonstrations confirm the feasibility of independently adjusting period and amplitude.
Application of the method to the Per-Cry-Bmal1 circadian model shows the ability to modulate amplitude while keeping period constant, and vice versa.
This approach could have implications for treating circadian-related disorders and is applicable to various oscillatory dynamics.

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Biological rhythms serve as essential timing mechanisms for regulating physiological processes, with period and amplitude being two key characteristics. Decoupled control of these characteristics is challenging due to their complex interdependencies. This study proposes a combinatorial coordination ratio perturbation approach for independently modulating the period and amplitude of biological rhythms. The approach integrates correlation analysis and Taylor expansion. Correlation analysis offers potential perturbation combinations, while Taylor expansion assists in determining the coordination perturbation ratio. We mathematically demonstrate the feasibility of independently adjusting the period and amplitudes through combinatorial perturbation and have developed an algorithm to identify optimal parameter combinations. When applied to the Per-Cry-Bmal1 circadian model, the method enables amplitude modulation while maintaining a constant period, and it also allows for period modulation while keeping the amplitude constant, thus demonstrating its practical effectiveness. This study advances circadian rhythm research by providing a simple and feasible method for decoupled period-amplitude control, with potential applications in the treatment of circadian-related disorders and chronomedicine. Moreover, this method exhibits excellent generality and is applicable to other oscillatory dynamics as well.

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An innovative combinatorial coordination ratio perturbation approach for decoupled period-amplitude modulation

Abstract

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