Effects of spatial and temporal noise on a cubic-autocatalytic reaction-diffusion model

TL;DR

This paper investigates how spatial and temporal environmental noise influences the reaction rates in a cubic autocatalytic reaction-diffusion system, revealing that correlated fluctuations can modulate nutrient decay and autocatalysis rates at small scales.

Contribution

It introduces an analysis of the effects of correlated environmental noise on the scale-dependent parameters of a CARD model, highlighting the impact of power-law correlations.

Findings

Power-law correlations can alter reaction rates at small scales.

Environmental noise can both increase and decrease nutrient decay and autocatalysis.

The study links noise characteristics to biological reaction dynamics.

Abstract

We characterize the influence that external noise, with both spatial and temporal correlations, has on the scale dependence of the reaction parameters of a cubic autocatalytic reaction diffusion (CARD) system. Interpreting the CARD model as a primitive reaction scheme for a living system, the results indicate that power-law correlations in environmental fluctuations can either decrease or increase the rates of nutrient decay and the rate of autocatalysis (replication) on small spatial and temporal scales.