English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In a stochastic reaction network setting we consider the problem of trackingthe fate of individual molecules. We show that using the classical large volumelimit results, we may approximate the dynamics of a single tracked molecule ina simple and computationally efficient way. We give examples on how thisapproach may be used to obtain various characteristics of single-moleculedynamics (for instance, the distribution of the number of infections in asingle individual in the course of an epidemic or the activity time of a singleenzyme molecule). Moreover, we show how to approximate the overall dynamics ofspecies of interest in the full system with a collection of independentsingle-molecule trajectories, and give explicit bounds for the approximationerror in terms of the reaction rates. This approximation, which is well definedfor all times, leads to an efficient and fully parallelizable simulationtechnique for which we provide some numerical examples.

Individual molecules dynamics in reaction network models