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.

AuthorsYearTransfer characteristicsType of modelling approachApplications for researchClinical applicationsReference

Danziger and Elmergreen1956LinearPhenomenological[93]
Roston1959Linear with basal secretionPhenomenological[94]
Norwich and Reiter1965LinearPhenomenological[95]
DiStefano and Stear1968Linear with basal secretionPhenomenological, partly parametrically isomorphic[96]
DiStefano and Chang1969, 1971Linear with basal secretionPhenomenological, partly parametrically isomorphic[97, 98]
DiStefano et al.1975N/AParametrically isomorphic[99]
Sudova and Langer1975Exponential with compartment-analytical componentsPhenomenological, partly parametrically isomorphic[100]
Saratchandran et al.1976Logarithmic and linearPhenomenological, partly parametrically isomorphic[101]
Seif1977Logarithmic and linearPhenomenological, partly parametrically isomorphic[102]
Wilkin et al.1977Limit elementsPhenomenological, partly parametrically isomorphic[103]
Hatakeyama and Yagi1985Linear with first order time constantsPhenomenological[104]
Cohen1990LogarithmicPhenomenological++[105]
Li et al.1995, 1994Complex polynomsPhenomenological, partly parametrically isomorphic[106, 107]
Dietrich et al.1997Linear and Michaelis-Menten kineticsPhenomenological, partly parametrically isomorphic[108]
Dietrich et al.2002, 2004Michaelis-Menten kinetics, noncompetitive divisive inhibition, first order time constantsParametrically isomorphic
(parameters for adult humans)
++[11, 49]
Falaschi et al.2004LinearPhenomenological[109]
Degon et al.2008Based on compartment and flux analysisPhenomenological, partly parametrically isomorphic[110]
Leow20072nd order Bernoulli differential equations, hysteresis,
inverse exponential power law of TSH response
Phenomenological, partly parametrically isomorphic[111]
Mclanahan et al.2008Michaelis-Menten kinetics, noncompetitive divisive inhibition, first order time constantsParametrically isomorphic
(parameters for adult rats)
[112]
Eisenberg et al.2008, 2010Based on earlier models by DiSefano et al.Phenomenological, partly parametrically isomorphic+[113, 114]