Pitchfork bifurcation in a receptor theory-based model of the serotonergic system
Pitchfork bifurcation in a receptor theory-based model of the serotonergic system
复制标题
基于受体理论的血清素系统模型中的干草叉分叉
DOI：
10.1039/c3mb25033d
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
H. Asama
中科院分区：
文献类型：
--
作者：
S. Yano;T. Watanabe;H. Aonuma;H. Asama
5-羟色胺能系统的异常被认为是几种精神疾病的一个重要原因。过去的研究表明，自体受体是关键组成部分。认为自身受体在该系统上构建负反馈电路，实现对其神经活动的动态平衡控制。本研究主要是从上述知识出发进行组织的。在本文中，我们基于受体理论构建了两种可能的5-羟色胺能系统模型，并用每种模型对该系统进行了预测。在第一个模型中，我们预测5-羟色胺合成的缺陷会导致自体受体数量的不稳定；如果5-羟色胺合成低于某个阈值，自体受体显示出爆炸性的增加。在第二个模型中，我们指出5-羟色胺能系统在某些因素的作用下，其稳定性由单稳态变为双稳态。我们阐明了这些因素，并证明了这种变化过程称为分叉分叉。此外，我们还提出了另一个值得注意的现象，当我们考虑对受体表达的随机扰动时，会出现这种现象。最后，我们对验证这些模型的有效性提出了一些实验性的想法。
Abnormalities in the serotonergic system are thought to be a potent cause of several mental diseases. Past research has shown that autoreceptors are the key component. It is thought that the autoreceptor constructs a negative feedback circuit on this system and realizes homeostatic control on its neural activity. This study is mainly organized from the above mentioned knowledge. In this paper, we construct two possible models of the serotonergic system based on receptor theory and provide some predictions for this system with each model. In the first model, we predict that the deficit of serotonin synthesis causes destabilization of the amount of autoreceptors; autoreceptors show an explosive increase if serotonin synthesis drops below a certain threshold value. In the second model, we indicate that the serotonergic system changes its stable property from a monostable one to a bistable one by certain factors. We clarify these factors and show that this changing process is named pitch-fork bifurcation. Additionally, we also suggest another notable phenomena which would appear when we consider a stochastic perturbation on the receptor expressions. Lastly, we suggest some experimental ideas towards the verification of the validity of these models.