
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 compartmentanalytical 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 MichaelisMenten kinetics  Phenomenological, partly parametrically isomorphic  −  −  [108] 
Dietrich et al.  2002, 2004  MichaelisMenten 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  MichaelisMenten 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] 
