Indistinguishability and identifiability of kinetic models for the Mur C reaction in peptidoglycan biosynthesis

Perez-Velazque, J. and Hattersley, J.G. and Chappell, M.J. and Bearup, Daniel and Roper, D. and Dowson, C. and Bugg, T. and Evans, N.D. (2009) Indistinguishability and identifiability of kinetic models for the Mur C reaction in peptidoglycan biosynthesis. In: 7th IFAC Symposium on Modelling and Control in Biomedical Systems (including Biological Systems) MCBMS'09, 12 - 14 August 2009, Aalborg; Denmark. (doi:https://doi.org/10.3182/20090812-3-DK-2006.0055) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
https://doi.org/10.3182/20090812-3-DK-2006.0055

Abstract

An important question in Systems Biology is the design of experiments to allow discrimination between two (or more) competing pathway models or biological mechanisms. In chemical kinetics a common assumption when studying reactions which release several products is to assume that they are all released in one step. A structural indistinguishability analysis is performed between two different models describing the kinetic mechanism of the Mur C reaction in the cytoplasmic phase of peptidoglycan biosynthesis. One model involves ordered substrate binding and ordered release of the three products; the competing model also assumes ordered substrate binding, but with fast release of the three products. The two versions are shown to be distinguishable both in the full version and under quasi-steady-state assumptions. A structural identifiability analysis is carried out for both models to ensure that the model output uniquely determines the unknown parameters. Similar analyses (indistinguishability and identifiability) are performed using other model simplifications (using conservation equations) and comparisons made with the results of the full model. The analysis forms an integrated step towards the modelling of the full pathway of the cytoplasmic phase of peptidoglycan biosynthesis.

Item Type: Conference or workshop item (Proceeding)
Additional information: cited By 0
Uncontrolled keywords: IdentifiabilityIndistinguishabilityExperiment designMur CBiomedical systemsParameter identification
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Q Science > QP Physiology (Living systems) > QP517 Biochemistry
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Daniel Bearup
Date Deposited: 30 Nov 2017 11:27 UTC
Last Modified: 01 Dec 2017 12:50 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/64325 (The current URI for this page, for reference purposes)
Bearup, Daniel: https://orcid.org/0000-0001-8524-7659
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