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Melatonin in Tuberous Sclerosis Complex Analysis Using Modern Mathematical Modeling Methods

机译:褪黑素在结节性硬化症复杂分析中的应用现代数学建模方法

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摘要

Purpose. The aim of the study was to assess melatonin secretion pattern in children with TSC and to compare it with the secretion patterns in children with and without epilepsy. Material and Methods. Melatonin secretion was measured every three hours using the RIA method in four children with recognized TSC. The parameters of the melatonin secretion models were interpreted and compared with those obtained for the patients with epilepsy (n = 76) and the children from the control, nonepileptic group (n = 36). To describe the diurnal melatonin secretion, mathematical model was constructed and nonlinear least squares method with the Levenberg-Marquardt optimization algorithm was applied to approximate its parameters. The dim light melatonin onset (DLMO) parameters were also estimated from the model. Results and Conclusions. Statistically significant differences were found between the TSC melatonin secretion profiles and the nonepileptic control group. The profiles for the epileptic and TSC groups were found to be similar. For the TSC group, though a small one, the variations in the MLT release amplitudes seem to be independent of the total number of seizures; however, the MLT release shift appears to depend on the number of seizures.
机译:目的。该研究的目的是评估患有TSC的儿童的褪黑激素分泌模式,并将其与患有和不患有癫痫的儿童的分泌模式进行比较。材料与方法。使用RIA方法每3小时测量4名患TSC的儿童的褪黑激素分泌。解释褪黑激素分泌模型的参数,并将其与癫痫患者(n = 76)和对照组(非癫痫组)的儿童(n = 36)获得的参数进行比较。为了描述昼夜褪黑激素的分泌,建立了数学模型,并采用Levenberg-Marquardt优化算法对非线性最小二乘法进行了近似。暗淡褪黑激素发作(DLMO)参数也从模型中估算。结果和结论。在TSC褪黑激素分泌曲线和非癫痫对照组之间发现统计学上的显着差异。发现癫痫组和TSC组的概况相似。对于TSC组,虽然很小,但MLT释放幅度的变化似乎与癫痫发作的总数无关。但是,MLT释放的变化似乎取决于癫痫发作的次数。

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