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Toolbox for structural identifiability analysis in non-stationary 13C labelling experiments

version 1.0 (49.1 KB) by linwl6666
Toolbox for structural identifiability analysis in non-stationary 13C labelling experiments

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Updated 04 Mar 2018

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It is a samll toolbox for structural identifiability analysis in non-stationary 13C labelling experiments. Files in Exe 2 fold need the following toolbox
P. Holoborodko, Multiprecision Computing Toolbox for MATLAB, Advanpix LLC., 2015.

While files in Exe 1 does not need the toolbox. It is related to the work

On structural identifiability analysis of the cascaded linear dynamic systems in isotopically non-stationary
13C labelling experiments. Weilu Lin, Zejian Wang, Mingzhi Huang, Yingping Zhuang, Siliang Zhang

Please refer to the above work. Thanks!

Weilu Lin

Cite As

linwl6666 (2020). Toolbox for structural identifiability analysis in non-stationary 13C labelling experiments (https://www.mathworks.com/matlabcentral/fileexchange/66305-toolbox-for-structural-identifiability-analysis-in-non-stationary-13c-labelling-experiments), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (1)

linwl6666

I would like to make a correction on my article

W Lin, Z Wang, M Huang, Y Zhuang, S Zhang, On structural identifiability analysis of the cascaded linear dynamic systems in isotopically non-stationary 13C labelling experiments, Mathematical Biosciences. 2018; 300:122-129.

To obtain the Jacobian of Eq. 15 wrt the nominal free parameters in the paper, one should set the dyi,0/dp = 0 instead of calculating it with algorithm introduced in Appendix C.

The reason is that we try to establish a way to investigate the structural identifiability of the non-stationary system after the changing of the tracers at t=0. The initial condition of the system, yi,0, should be regarded as constant vector instead of the function of the free parameters. Since for t>0, the system is driven by the initial condition and \bar ci as Eq.5 shown, only the value of the yi,0 can affect the states of yi. However at t=0, the system is governed by another set of equations that are not related to the structural identifiability analysis of equations governed the system for t>0.

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