A mathematical model of pituitary–thyroid interaction to provide an insight into the nature of the thyrotropin–thyroid hormone relationship
Abstract
The mathematical model proposed focuses on the description of the behavior of the interaction between thyrotropin (i.e. thyroid-stimulating hormone (TSH)) and thyroid hormones with the objective of providing a better understanding of the behavior of TSH-T4 relationship in health and in disease. The normal pituitary-thyroid axis is tightly coupled and regulated with a servomechanism. In the physiological situation, any elevation of thyroid hormones will inhibit TSH secretion by the thyrotrophs of the pituitary, which in turn lead to an appropriate reduction in stimulation of the thyroid, accompanied by a decline of thyroid hormones towards normal. Similarly, a decline in thyroid hormones represents a potent input signal that when sensed by the pituitary thyrotrophs, will result in an increase of TSH output by the latter to accelerate the synthesis and secretion of thyroid hormones to drive the state towards normal equilibrium. Using this model, the profound sensitivity of thyrotrophs to feedback by thyroid hormones can be appreciated and understood better in the context of diseases of thyroid hormone excess and deficiency.
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Physicians generally prescribe patients the blood test of FT4 and TSH to assess their thyroid condition.
“Therefore, physicians generally prescribe patients the blood test of FT4 and TSH to assess their thyroid condition (68).”
From The progression of secondary diabetes: A review of modeling studies (2022) · cites this paper as [68]
Models initially assumed an inverse linear correlation between TSH and T4, later changed to a log-linear relationship, which has remained the standard model.
“Models initially assumed an inverse linear correlation between TSH and T4 (14–17), but following more detailed analysis this was later changed to a log-linear relationship, which has remained the standard model ever since (18–22).”
From Homeostatic control of the thyroid-pituitary axis: perspectives for diagnosis and treatment (2015) · cites this paper as [18]
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- Authors
- Leow, M. K.-S.
- Affiliations
- National University of Singapore (SG)
- Corresponding author
- Leow, Melvin Khee-Shing
- Venue
- Journal of Theoretical Biology
- Publisher
- Elsevier BV
- Published
- 2007-09
- Volume
- 248
- Issue
- 2
- Pages
- 275-287
- ISSN
- 0022-5193 (ISSN-L)
- OpenAlex
- W2000418951
- Cited by
- 53
- References
- 50
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 5 · 2023: 1 · 2022: 4 · 2021: 5 · 2020: 5 · 2019: 2 · 2018: 3 · 2017: 2 · 2016: 3 · 2015: 1 · 2014: 5 · 2013: 6 · 2012: 3
- FWCI
- 1.22
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Theoretical Biology (publishedVersion)
- PubMed (publishedVersion)
- National University of Singapore (submittedVersion)
- Topics
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Thyroid Disorders and Treatments
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Growth Hormone and Insulin-like Growth Factors
- Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Thyroid Cancer Diagnosis and Treatment
- Keywords
- pituitary-thyroid axis, thyroid-stimulating hormone, thyroid hormones, negative feedback, thyrotrophs, mathematical model, thyroid hormone excess, thyroid hormone deficiency, homeostatic regulation
- MeSH terms
- Animals, Homeostasis, Humans, Models, Biological, Thyroid Gland, Thyroid Hormones, Thyrotropin, Feedback, Physiological, Thyrotrophs
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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