Period-amplitude co-variation in biomolecular oscillators

Area of Science:

• Systems Biology
• Biophysics
• Computational Biology

Background:

• The period and amplitude of biomolecular oscillations are critical functional properties across various biological contexts.
• Understanding the interplay and constraints between period and amplitude tuning in these oscillators remains a significant challenge.

Purpose of the Study:

• To investigate the co-variation patterns between the period and amplitude of biomolecular oscillators.
• To analyze how parameter variations influence these coupled properties in mathematical models.

Main Methods:

• Mathematical modeling and computer simulations of 11 benchmark biomolecular oscillators.
• Systematic variation of individual oscillator parameters around a nominal value.
• Classification of amplitude-period co-variation patterns using standard and power norm-based amplitude metrics.
• Calculation of 'scaling laws' for period-amplitude co-variation in a subset of oscillators.

Main Results:

• Identified and classified diverse patterns of period-amplitude co-variation, including simultaneous increases or decreases.
• Demonstrated largely consistent trends when using a power norm-based amplitude metric, accounting for multi-species oscillations.
• Derived 'scaling laws' indicating that increasing oscillator period often leads to a non-decreasing upper bound of amplitude.

Conclusions:

• The study elucidates how different parameters influence the type of period-amplitude co-variation in biomolecular oscillators.
• Results highlight inherent difficulties in simultaneously achieving oscillations with both large amplitudes and short periods.
• Provides insights into the fundamental constraints governing the dynamics of biomolecular oscillatory systems.