Thyroid Regulation Simulator: TSH-T3-T4 Feedback Loop Model

simulator intermediate ~10 min
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TSH ≈ 2.1 mIU/L, Free T4 ≈ 16 pmol/L, Free T3 ≈ 3.2 pmol/L — euthyroid state

With normal parameters (TRH drive 5, 20% T4-to-T3 conversion, 100% thyroid mass, feedback sensitivity 1.0), the axis reaches a euthyroid steady state with TSH approximately 2.1 mIU/L, free T4 16 pmol/L, and free T3 3.2 pmol/L — all within normal clinical reference ranges.

Formula

TSH = TRH_drive / (1 + feedback_sensitivity * T4)
dT4/dt = TSH * thyroid_mass/100 - clearance_T4 * T4
T3 = T4 * conversion_rate / 100

The Thyroid Axis

The hypothalamic-pituitary-thyroid (HPT) axis regulates metabolic rate, growth, and development through thyroid hormones T3 and T4. The hypothalamus produces thyrotropin-releasing hormone (TRH), which stimulates thyroid-stimulating hormone (TSH) secretion from the anterior pituitary. TSH then drives the thyroid gland to synthesize and secrete thyroid hormones. This cascade is governed by negative feedback — rising T3 and T4 suppress both TRH and TSH release.

T4-to-T3 Conversion

The thyroid gland produces primarily T4, which circulates as a reservoir. Peripheral tissues convert T4 to the more active T3 via deiodinase enzymes. Type 1 deiodinase in liver and kidney provides most circulating T3, while Type 2 deiodinase in brain and pituitary provides local T3 for feedback regulation. The conversion rate is a critical parameter — conditions like non-thyroidal illness ("sick euthyroid syndrome") reduce conversion, lowering T3 despite normal T4.

Clinical Thyroid Disorders

Reduce thyroid mass to 20% to model severe hypothyroidism — watch TSH rise dramatically as the pituitary compensates. Increase TRH drive and reduce feedback sensitivity to simulate TSH-secreting pituitary adenoma. The characteristic inverse log-linear TSH-T4 relationship means a 50% drop in T4 can produce a 10-fold TSH increase, explaining why TSH is the most sensitive screening test for thyroid dysfunction.

Pharmacological Interventions

Levothyroxine replacement therapy effectively increases the T4 pool, which can be modeled by adjusting thyroid mass upward. Antithyroid drugs like methimazole reduce thyroid hormone synthesis, modeled by decreasing thyroid mass. The simulation reveals why dose titration requires weeks — the long half-life of T4 (7 days) means steady state takes 4-6 weeks to achieve after any parameter change.

FAQ

How does the thyroid feedback loop work?

The hypothalamus secretes TRH, which stimulates TSH release from the anterior pituitary. TSH drives the thyroid gland to produce T4 (thyroxine) and small amounts of T3 (triiodothyronine). T4 is converted to the more active T3 in peripheral tissues. Both T3 and T4 inhibit TRH and TSH secretion, forming a negative feedback loop.

What is the difference between T3 and T4?

T4 (thyroxine) is the major thyroid hormone produced by the gland, serving primarily as a prohormone. T3 (triiodothyronine) is 3-5 times more biologically active and is mainly produced by peripheral deiodination of T4. About 80% of circulating T3 comes from T4 conversion.

How is hypothyroidism diagnosed?

Primary hypothyroidism is diagnosed by elevated TSH (>10 mIU/L) with low free T4. Subclinical hypothyroidism shows elevated TSH with normal T4. The inverse log-linear relationship between TSH and free T4 means small T4 changes produce large TSH shifts.

What causes hyperthyroidism?

Graves' disease (autoimmune TSH receptor stimulation) is the most common cause. Thyroid-stimulating antibodies bypass the normal feedback loop, driving excessive T3/T4 production with suppressed TSH. Toxic nodular goiter and thyroiditis are other causes.

Sources

Embed

<iframe src="https://homo-deus.com/lab/endocrinology/thyroid-regulation/embed" width="100%" height="400" frameborder="0"></iframe>
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