Search

Context: The TSH-T4 relationship was thought to be inverse log-linear, but recent cross-sectional studies report a complex, nonlinear relationship; large, intra-individual studies are lacking., Objective: Our objective was to analyze the TSH-free T4 relationship within individuals., Methods: We analyzed data from 13 379 patients, each with six or more TSH/free T4 measurements and at least a 5-fold difference between individual median TSH and minimum or maximum TSH. Linear and nonlinear regression models of log TSH on free T4 were fitted to data from individuals and goodness of fit compared by likelihood ratio testing., Results: Comparing all models, the linear model achieved best fit in 31% of individuals, followed by quartic (27%), cubic (15%), null (12%), and quadratic (11%) models. After eliminating least favored models (with individuals reassigned to best fitting, available models), the linear model fit best in 42% of participants, quartic in 43%, and null model in 15%. As the number of observations per individual increased, so did the proportion of individuals in whom the linear model achieved best fit, to 66% in those with more than 20 observations. When linear models were applied to all individuals and averaged according to individual median free T4 values, variations in slope and intercept indicated a nonlinear log TSH-free T4 relationship across the population., Conclusions: The log TSH-free T4 relationship appears linear in some individuals and nonlinear in others, but is predominantly linear in those with the largest number of observations. A log-linear relationship within individuals can be reconciled with a non-log-linear relationship in a population.

Context: The relationship between TSH and T₄ is thought to be inverse log-linear, but recent studies have challenged this. There are limited data regarding age and sex differences in the TSH-T₄ relationship., Objective: The purpose of this study was to evaluate the TSH-free T₄ relationship in a large sample., Methods: In a cross-sectional, retrospective study, we analyzed TSH and free T₄ results from 152 261 subjects collected over 12 years by a single laboratory. For each free T₄ value (in picomoles per liter), the median TSH was calculated and analyzed by sex and age (in 20-year bands)., Results: The relationship between log TSH and free T₄ was nonlinear. Mathematical modeling confirmed that it was described by 2 sigmoid curves with inflexion points at free T₄ concentrations of 7 and 21 pmol/L. For free T₄ within the reference range (10-20 pmol/L), median TSH was higher in men than in women (P < .001) and increased across age bands with the highest values in those 80 years and older (P < .001). In contrast, in overt hypothyroidism (n = 4403), TSH was lower in older age groups than in those aged 20-39 years (P < .001)., Conclusions: The TSH-free T₄ relationship is not inverse log-linear but can be described by 2 overlapping negative sigmoid curves. At physiological free T₄ concentrations, TSH is higher in men and in older people, whereas the TSH response to hypothyroidism is more robust in younger people. These results advance understanding of the TSH-free T₄ relationship, which is central to thyroid pathophysiology and laboratory diagnosis of thyroid disease.