Pandiyan Balamurugan, Merrill Stephen J, Di Bari Flavia, Antonelli Alessandro, Benvenga Salvatore
Department of Mathematics, University of Wisconsin - Whitewater, 800 W. Main Street, Whitewater, 53190, WI, USA.
Department of MSCS, Marquette University, Milwaukee, 53201-1881, WI, USA.
Theor Biol Med Model. 2018 Jan 9;15(1):1. doi: 10.1186/s12976-017-0073-6.
Graves' is disease an autoimmune disorder of the thyroid gland caused by circulating anti-thyroid receptor antibodies (TRAb) in the serum. TRAb mimics the action of thyroid stimulating hormone (TSH) and stimulates the thyroid hormone receptor (TSHR), which results in hyperthyroidism (overactive thyroid gland) and goiter. Methimazole (MMI) is used for hyperthyroidism treatment for patients with Graves' disease.
We have developed a model using a system of ordinary differential equations for hyperthyroidism treatment with MMI. The model has four state variables, namely concentration of MMI (in mg/L), concentration of free thyroxine - FT4 (in pg/mL), and concentration of TRAb (in U/mL) and the functional size of the thyroid gland (in mL) with thirteen parameters. With a treatment parameter, we simulate the time-course of patients' progression from hyperthyroidism to euthyroidism (normal condition). We validated the model predictions with data from four patients.
When there is no MMI treatment, there is a unique asymptotically stable hyperthyroid state. After the initiation of MMI treatment, the hyperthyroid state moves towards subclinical hyperthyroidism and then euthyroidism.
We can use the model to describe or test and predict patient treatment schedules. More specifically, we can fit the model to individual patients' data including loading and maintenance doses and describe the mechanism, hyperthyroidism→euthyroidism. The model can be used to predict when to discontinue the treatment based on FT4 levels within the physiological range, which in turn help maintain the remittance of euthyroidism and avoid relapses of hyperthyroidism. Basically, the model can guide with decision-making on oral intake of MMI based on FT4 levels.
格雷夫斯病是一种甲状腺自身免疫性疾病,由血清中循环的抗甲状腺受体抗体(TRAb)引起。TRAb模拟促甲状腺激素(TSH)的作用,刺激甲状腺激素受体(TSHR),从而导致甲状腺功能亢进(甲状腺过度活跃)和甲状腺肿。甲巯咪唑(MMI)用于治疗格雷夫斯病患者的甲状腺功能亢进。
我们开发了一个使用常微分方程系统的模型,用于MMI治疗甲状腺功能亢进。该模型有四个状态变量,即MMI浓度(mg/L)、游离甲状腺素 - FT4浓度(pg/mL)、TRAb浓度(U/mL)和甲状腺的功能大小(mL),以及十三个参数。通过一个治疗参数,我们模拟了患者从甲状腺功能亢进进展到甲状腺功能正常(正常状态)的时间进程。我们用来自四名患者的数据验证了模型预测。
在没有MMI治疗时,存在一个独特的渐近稳定的甲状腺功能亢进状态。开始MMI治疗后,甲状腺功能亢进状态向亚临床甲状腺功能亢进转变,然后转变为甲状腺功能正常。
我们可以使用该模型来描述、测试和预测患者的治疗方案。更具体地说,我们可以将模型拟合到个体患者的数据,包括负荷剂量和维持剂量,并描述甲状腺功能亢进→甲状腺功能正常的机制。该模型可用于根据生理范围内的FT4水平预测何时停止治疗,这反过来有助于维持甲状腺功能正常的缓解并避免甲状腺功能亢进的复发。基本上,该模型可以根据FT4水平指导MMI口服摄入的决策。