Things to consider are model reduction, response transformation, and outliers, among others.
Model reduction implies transformation of the ODE system to another one with smaller number of equations without affecting dynamics of variables C1 t), …, C s (t), which is fixed by a set of experimental points C i exp (t ij ) at given times t ij, j = 1, …, r i, where r i is number of such points for the concentration C i (t), i = 1, …, s.
The main results are discussed in three parts: Section Exact Model Reduction presents the extension of the transformation pattern introduced by Conzelmann et al. [ 16].
Iterated improved reduced system (IIRS) technique is a model reduction (or condensation) method by repeatedly updating a transformation matrix.
The model reduction approach presented by Conzelmann et al. [ 16] is based on a linear state space transformation (3) z → = T x →.
Thus, we seek for a linear order reduction transformation [22]: (36).
Data set 4: Reduction, transformation, and clustering data sets (14 data sets, 2 variables). .
Data set 4: Reduction, transformation, and clustering data sets (14 data sets, 2 variables).
a – Calculated from the chemical equilibrium modeling software MINEQL+ Ver. 4.5 (27), temperature corrected and assumed open to the atmosphere with a PCO2 at sea level of 10-3.50 atm. a Data transformation was determined by a Box Cox plot analysis – fresh weight data were transformed by square root and NE dry weight by log base 10. b Model reduction by backward elimination.
Figure 10 Example of model operation transformation.
