Before revision: Living cells need to distinguish persistent signals from transient ones. Given that the cellular environment is stochastic, it is necessary to understand how cells make decision from a stochastic point of view. However, there isfew work on studying persistence detection, in the context of cell signalling, from a stochastic signal point of view. This paper aims to address this gap. This paper considers a persistence detection problem defined over a reaction pathway consisting of three species: an inducer, a transcription factor (TF) and a gene, where the inducer can activate the TF and an active TF can bind to the gene promoter.
After revision: Given that biochemical circuits can process information by using analog computation, a question is: What can biochemical circuits compute? This paper considers the problem of using biochemical circuits to distinguish persistent signals from transient ones. We define a statistical detection problem over a reaction pathway consisting of three species: an inducer, a transcription factor (TF) and a gene, where the inducer can activate the TF and an active TF can bind to the gene promoter.