Essential Site Maintenance: Authorea-powered sites will be updated circa 15:00-17:00 Eastern on Tuesday 5 November.
There should be no interruption to normal services, but please contact us at [email protected] in case you face any issues.

loading page

On structural identifiability analysis of cascaded linear time varying systems in dynamic isotope experiments
  • +3
  • Weilu Lin,
  • Mingzhi Huang,
  • Zejian Wang,
  • Ju Chu,
  • Yingping Zhuang,
  • Siliang Zhang
Weilu Lin
East China University of Technology

Corresponding Author:[email protected]

Author Profile
Mingzhi Huang
Author Profile
Zejian Wang
East China University of Science Technology
Author Profile
Ju Chu
East China University of Science & Technology, Institute of Fine Chemicals, State Key Laboratory of Bioreactor Engineering
Author Profile
Yingping Zhuang
East China University of Science Technology
Author Profile
Siliang Zhang
East China University of Science Technology
Author Profile

Abstract

A well known issue in metabolic flux analysis with labelling experiments is the structural identifiability analysis. It comes from the fact that some enrichment measurement sets cannot uniquely elucidate all intracellular fluxes. To the best of our knowledge, the structural identifiability analysis of dynamic isotope experiments is not available in the literature. In this work, it is shown that if one measurement plan makes the dynamic isotopic fractions balance equations structurally identifiable then for any arbitrary small time interval the plan also makes the equations structurally identifiable. Based on the fact, in order to resolve the local structural identifiablity problem of the dynamic isotopic fractions balance equations approximated with piecewise affine intracellular fluxes, one should check the local structural identifiablity for the corresponding cascaded linear time invariant system at each sampling point with the approach proposed in our earlier work (Lin \emph{et al.}, Math Biosci. 2018; 300:122-129).