|
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] |
|