Table 1.
Overview of published models of thyrotropic feedback control. Applications for research refer to any scientific exploitation outside of the modelling context itself, for example, for reasoning in clinical trials or generation of hypotheses.
| Authors | Year | Transfer characteristics | Type of modelling approach | Applications for research | Clinical applications | Reference |
|---|---|---|---|---|---|---|
| Danziger and Elmergreen | 1956 | Linear | Phenomenological | − | − | [93] |
| Roston | 1959 | Linear with basal secretion | Phenomenological | − | − | [94] |
| Norwich and Reiter | 1965 | Linear | Phenomenological | − | − | [95] |
| DiStefano and Stear | 1968 | Linear with basal secretion | Phenomenological, partly parametrically isomorphic | − | − | [96] |
| DiStefano and Chang | 1969, 1971 | Linear with basal secretion | Phenomenological, partly parametrically isomorphic | − | − | [97, 98] |
| DiStefano et al. | 1975 | N/A | Parametrically isomorphic | − | − | [99] |
| Sudova and Langer | 1975 | Exponential with compartment-analytical components | Phenomenological, partly parametrically isomorphic | − | − | [100] |
| Saratchandran et al. | 1976 | Logarithmic and linear | Phenomenological, partly parametrically isomorphic | − | − | [101] |
| Seif | 1977 | Logarithmic and linear | Phenomenological, partly parametrically isomorphic | − | − | [102] |
| Wilkin et al. | 1977 | Limit elements | Phenomenological, partly parametrically isomorphic | − | − | [103] |
| Hatakeyama and Yagi | 1985 | Linear with first order time constants | Phenomenological | − | − | [104] |
| Cohen | 1990 | Logarithmic | Phenomenological | + | + | [105] |
| Li et al. | 1995, 1994 | Complex polynoms | Phenomenological, partly parametrically isomorphic | − | − | [106, 107] |
| Dietrich et al. | 1997 | Linear and Michaelis-Menten kinetics | Phenomenological, partly parametrically isomorphic | − | − | [108] |
| Dietrich et al. | 2002, 2004 | Michaelis-Menten kinetics, noncompetitive divisive inhibition, first order time constants | Parametrically isomorphic (parameters for adult humans) |
+ | + | [11, 49] |
| Falaschi et al. | 2004 | Linear | Phenomenological | − | − | [109] |
| Degon et al. | 2008 | Based on compartment and flux analysis | Phenomenological, partly parametrically isomorphic | − | − | [110] |
| Leow | 2007 | 2nd order Bernoulli differential equations, hysteresis, inverse exponential power law of TSH response |
Phenomenological, partly parametrically isomorphic | − | − | [111] |
| Mclanahan et al. | 2008 | Michaelis-Menten kinetics, noncompetitive divisive inhibition, first order time constants | Parametrically isomorphic (parameters for adult rats) |
− | − | [112] |
| Eisenberg et al. | 2008, 2010 | Based on earlier models by DiSefano et al. | Phenomenological, partly parametrically isomorphic | + | − | [113, 114] |