Mathematical model of non-basal testosterone regulation in the male by pulse modulated feedback
Mathematical model of non-basal testosterone regulation in the male by pulse modulated feedback
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DOI：
10.1016/j.automatica.2008.06.016
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发表时间：
2009-01-01
期刊：
影响因子：
6.4
通讯作者：
Shepeljavyi, Alexander
中科院分区：
文献类型：
--
作者：
Churilov, Alexander;Medvedev, Alexander;Shepeljavyi, Alexander
一个简洁的数学模型的脉冲调制调节非基底睾酮分泌在男性发展。该模型属于第三阶微分阶，反映了调节回路中最重要的三种激素，但尚未证明能够在每个周期内维持一个或两个促性腺激素释放激素（GnRH）脉冲的周期性解决方案。缺乏稳定的周期解是现有低阶激素调节模型的一个主要缺点。研究了周期解的存在性和稳定性。在医学文献中没有描述过在最小周期内有两个GnRH脉冲的周期模式，但发现可以很好地解释实验数据。(C) 2008 Elsevier Ltd版权所有。
A parsimonious mathematical model of pulse modulated regulation of non-basal testosterone secretion in the male is developed. The model is of the third differential order, reflecting the three most significant hormones in the regulation loop, but is yet shown to be capable of sustaining periodic solutions with one or two pulses of gonadotropin-releasing hormone (GnRH) in each period. Lack of stable periodic solutions is otherwise a main shortcoming of existing low-order hormone regulation models. Existence and stability of periodic solutions are studied. The periodic mode with two GnRH pulses in the least period has not been described in medical literature, but is found to explain experimental data well. (C) 2008 Elsevier Ltd. All rights reserved.