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. 2011 Nov 22;6(11):e27755. doi: 10.1371/journal.pone.0027755

Table 2. Summary of requirements, advantages and disadvanges for all methods.

T.S. Requirements - f ; g ; h may be non-linear with any dependency on u
- x ; y ; f ; g ; h allow for infinite derivatives w.r.t. time/states
Advantages - conceptually simple
- enhanced performance with identifiability tableaus
Disadvantages - unknown number of required derivatives
- computationally demanding for low number of observable or when the initial conditions are not informative
G.S. Requirements - f ; g ; h may be non-linear but linear dependency on u
- x ; y ; f ; g ; h allow for infinite derivatives w.r.t. time/states
Advantages - conceptually simple
- simpler algebra and less computational cost than T.S.
- enhanced performance with identifiability tableaus
- software available (GenSSI)
Disadvantages - unknown number of required derivatives
- computationally demanding for low number of observables or when the initial conditions are not informative
S.T. Requirements - linear dependence on u that must be bounded and measured
- controllability and observability conditions
Advantages - software available for part of the analysis
Disadvantages - results in a complicated set of partial differential equations
- computationally demanding
D.T. Requirements - uncontrolled systems
Advantages - conceptually simple
Disadvantages - requires complicated algebraic manipulations
- computationally demanding
D.A. Requirements - f ; g ; h polynomial or rational and u differentiable
- generic controllability
Advantages - software available (DAISY)
- conclusive non-identifiability
Disadvantages - rational models are to be reduced to polynomial form
- computationally demanding
- limited performance when the number of observables is low
I.F.T. Requirements - f ; g ; h non-linear, differentiable and u differentiable
Advantages - characteristic set may be obtained with existing software
Disadvantages - complicated identifiability matrix
- limited performance when the number of observables is low
I.D.R.N. Requirements - chemical reaction networks
- combined with other methods
Advantages - analysis by groups of reaction rates
- computationally simple
- efficiency in combination with generating series (G.A.)
Disadvantages - only suitable for chemical reaction networks
- reaction rates needed for identifiability analysis