Spectral analysis of chemical fluctuations of biomolecules in living cells

Abstract

Biomolecules suffering birth and death in living cells often exhibit non-exponential lifetime distributions. However, the chemical dynamics of these biomolecules cannot be described by conventional chemical kinetics or chemical master equations. Here, we present exact results for the mean, time correlation function, and power spectrum of the copy number of biomolecules in living cells, establishing their relationship to product creation dynamics and lifetime distributions. The correctness of these results is confirmed against accurate stochastic simulations. This work establishes the power spectrum of the copy number of biomolecules as a quantitative probe of their intracellular reaction dynamics.