WSEAS Transactions on Biology and Biomedicine
Print ISSN: 1109-9518, E-ISSN: 2224-2902
Volume 21, 2024
Sensitivity Analysis in Mathematical Models of the Hypothalamus-Pituitary-Thyroid Axis
Authors: ,
Abstract: Mathematical models are promising and important for advancing the current medical practice in the field
of endocrinology. To assess the reliability of the range of mathematical models describing the hypothalamuspituitary-
thyroid axis and to establish their applicability in clinical decision support, we conducted a local and
global sensitivity analysis of the model. Thyroid regulation in euthyroid and diseased individuals may be quantified
and dynamic behavior predicted through mathematical models, thereby revolutionizing the current clinical
practice. We investigated the influence of model parameters of a selected mathematical model utilizing ordinary
differential equations describing the HPT-axis. Motivated by a graphical depiction of the varying influence of the
model parameters, feasible methods such as a local sensitivity analysis are conducted. Furthermore, to account
for the influence of parameters on the output variance of the considered model, the theory of Sobol’ indices is utilized.
Although the system of differential equations describing the hormone concentrations of thyroid-simulating
hormones and unbound Thyroxine has similar equation structures, the results of the sensitivity analyses varied
according to the equation.
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Keywords: Mathematical Modeling, Hypothalamus-Pituitary-Thyroid Axis, Local Sensitivity Analysis, Global
Sensitivity Analysis, Ordinary Differential Equations
Pages: 313-322
DOI: 10.37394/23208.2024.21.31