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

Accepted version
Peer-reviewed

Type

Conference Object

Change log

Authors

Carratelli, GP 
Lestas, I 

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.

Description

Keywords

4901 Applied Mathematics, 49 Mathematical Sciences, 51 Physical Sciences, Clinical Trials and Supportive Activities, Clinical Research

Journal Title

Proceedings of the IEEE Conference on Decision and Control

Conference Name

2020 59th IEEE Conference on Decision and Control (CDC)

Journal ISSN

0743-1546
2576-2370

Volume Title

2020-December

Publisher

IEEE

Rights

All rights reserved
Sponsorship
European Research Council (679774)
EPSRC (2107279)
ERC starting grant 679774