Table 3. Parameter determinability in mRNA- and protein-based gene circuits.
Description of Scenario | Data | Scoring Function | Weights for WLS | Trunk Region (Nuclei) | Independent Confidence Intervals | Determinability |
Gene circuits using protein data from [49] | protein | WLS | derived from protein data | 58 | 20/5/4 | good |
Gene circuits using protein data and mRNA-style weights | protein | WLS | mRNA-style | 58 | 16/6/7 | reasonable |
Gene circuits using protein data approximated by mRNA-style boundary extraction | protein | WLS | mRNA-style | 58 | 11/3/15 | reasonable |
Gene circuits from mRNA and WLS, with 58 nuclei | mRNA | WLS | mRNA-style | 58 | 0/3/26 | poor |
Gene circuits from mRNA and WLS | mRNA | WLS | mRNA-style | 53 | 0/2/27 | poor |
Gene circuits from mRNA and OLS | mRNA | OLS | not used | 53 | 0/1/28 | poor |
Each row represents the results of a series of optimisation runs to data described in columns 2–5: mRNA- or protein-based fits, OLS or WLS cost function, variance-based or approximated (mRNA-style) weights for WLS, and region covered by models (53 or 58 nuclei). Column 6 (‘Independent Confidence Intervals’) shows triplets, which represent the number of regulatory parameters in fitted models that are determinable/weakly determinable/non-determinable. Determinable parameters are those whose confidence intervals fall exclusively into one regulatory category (activating, no interaction, or repressing). Weakly determinable parameters are those where one regulatory category is excluded from the confidence interval (‘not repressing’, or ‘not activating’). Confidence intervals for regulatory weights in all scenarios are shown in Text S4. Overall determinability of parameters is summarised in column 7.