Constraints on Fluctuations in Sparsely Characterized Biological Systems

Physical Review Letters
Andreas HilfingerJohan Paulsson

Abstract

Biochemical processes are inherently stochastic, creating molecular fluctuations in otherwise identical cells. Such "noise" is widespread but has proven difficult to analyze because most systems are sparsely characterized at the single cell level and because nonlinear stochastic models are analytically intractable. Here, we exactly relate average abundances, lifetimes, step sizes, and covariances for any pair of components in complex stochastic reaction systems even when the dynamics of other components are left unspecified. Using basic mathematical inequalities, we then establish bounds for whole classes of systems. These bounds highlight fundamental trade-offs that show how efficient assembly processes must invariably exhibit large fluctuations in subunit levels and how eliminating fluctuations in one cellular component requires creating heterogeneity in another.

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Citations

May 3, 2016·Cell Systems·Johan Elf
Jun 8, 2017·Integrative Biology : Quantitative Biosciences From Nano to Macro·Kevin A JanesDouglas A Lauffenburger
Jan 21, 2018·Nature Communications·Seong Jun ParkJaeyoung Sung
Feb 20, 2020·Physical Review. E·Luca CardelliAttila Csikasz-Nagy
Jun 27, 2019·Nature·Noah Olsman, Johan Paulsson
Oct 2, 2019·Physical Review Letters·Jiawei YanJohan Paulsson
Dec 14, 2018·Bulletin of Mathematical Biology·P C Bressloff, E Levien
Jan 10, 2021·Biophysical Journal·Yi RenP J Hore
Mar 2, 2018·Current Opinion in Microbiology·Mariana Gómez-Schiavon, Hana El-Samad
Sep 9, 2021·Journal of the Royal Society, Interface·Enoch YeungRichard M Murray

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