TSH and Thyrotropic Agonists: Key Actors in Thyroid Homeostasis

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]