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Title: A queueing theoretic model of a gene regulatory network
Author: Dean, Justin
ISNI:       0000 0004 7651 9730
Awarding Body: University of Bristol
Current Institution: University of Bristol
Date of Award: 2019
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We consider an infinite server queue into which customers arrive according to a Cox process and have independent service times with a general distribution. The model is motivated by a linear feed-forward gene regulatory network, in which the rate of protein synthesis is modulated by the number of RNA molecules present in a cell. The system can be modelled as a nonstandard tandem of infinite server queues, in which the number of customers present in a queue modulates the arrival rate into the next queue in the tandem. We first study second order statistics of the equilibrium queue length by making a simplifying assumption on the service time distribution. We then establish a Large Deviations Principle for this queueing system in the asymptotic regime in which the arrival process is sped up, while the service process is not scaled.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available