Distributed delay model of the McKeithan's network

György Lipták, Katalin M. Hangos

Research output: Contribution to journalConference article

Abstract

In this paper CRNs containing linear reaction chains with multiple joint complexes were considered in order to obtain an equivalent reduced order delayed CRN model with distributed time delays. For this purpose, our earlier method (Lipták and Hangos (2018)) for decomposing the chains of linear reactions with multiple joint complexes was used together with the "linear chain trick". An analytical expression for the kernel function of the distributed delay was also derived from the reaction rate coefficients of the linear reaction chains. Our approach was demonstrated using the example of the well known McKeithan's network model of kinetic proofreading.

Original languageEnglish
Pages (from-to)33-38
Number of pages6
JournalIFAC-PapersOnLine
Volume52
Issue number7
DOIs
Publication statusPublished - Jan 1 2019
Event3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory, TFMST 2019 - Louvain-la-Neuve, Belgium
Duration: May 20 2019May 24 2019

Keywords

  • Chemical Reaction Networks
  • Delay
  • Process control

ASJC Scopus subject areas

  • Control and Systems Engineering

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