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!
linwl6666 (2021). 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 .
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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