This paper though enormously mathematically difficult, makes a very important point. That is, the relationship between FT4 and TSH is affected by a slow TSH reaction to T4 dose. It is available to download.
Published online 2022 Aug 8. doi: 10.15252/msb.202210919
Dynamics of thyroid diseases and thyroid‐axis gland masses
Yael Korem Kohanim, 1 Tomer Milo, 1 Moriya Raz, 1 Omer Karin, 1 Alon Bar, 1 Avi Mayo, 1 Netta Mendelson Cohen, 2 Yoel Toledano, 3 and Uri Alon 1
Abstract
Thyroid disorders are common and often require lifelong hormone replacement. Treating thyroid disorders involves a fascinating and troublesome delay, in which it takes many weeks for serum thyroid‐stimulating hormone (TSH) concentration to normalize after thyroid hormones return to normal. This delay challenges attempts to stabilize thyroid hormones in millions of patients. Despite its importance, the physiological mechanism for the delay is unclear. Here, we present data on hormone delays from Israeli medical records spanning 46 million life‐years and develop a mathematical model for dynamic compensation in the thyroid axis, which explains the delays. The delays are due to a feedback mechanism in which peripheral thyroid hormones and TSH control the growth of the thyroid and pituitary glands; enlarged or atrophied glands take many weeks to recover upon treatment due to the slow turnover of the tissues. The model explains why thyroid disorders such as Hashimoto's thyroiditis and Graves' disease have both subclinical and clinical states and explains the complex inverse relation between TSH and thyroid hormones. The present model may guide approaches to dynamically adjust the treatment of thyroid disorders