CUED Publications database

Variance bounds for a class of biochemical reactions with bursts using a discrete expansion

Pugliese Carratelli, G and Lestas, I (2020) Variance bounds for a class of biochemical reactions with bursts using a discrete expansion. In: 59th IEEE Conference on Decision and Control, 2020-12-14 to 2020-12-18 pp. 3907-3912.. (Unpublished)

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Abstract

We consider the problem of quantifying the variance in the number of molecules of a species, in biochemical reactions with nonlinear reaction rates. We address this problem for a particular configuration where a species is formed with bursts, with a nonlinear rate that depends on another spontaneously formed species. By making use of an appropriately formulated expansion based on the Newton series, in conjunction with spectral properties of the master equation, we derive an analytical expression that provides a hard bound for the variance. We also show that this bound is exact when the propensities are linear. Furthermore, numerical simulations demonstrate that this is very close to the actual variance.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 09 Sep 2020 22:24
Last Modified: 01 Jul 2021 09:41
DOI: