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A single compartment model of pacemaking in dissasociated substantia nigra neurons Stability and energy analysis

机译:离体黑质神经元起搏的单室模型稳定性和能量分析

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Spontaneous oscillations in the mid-brain dopaminergic neurons are an important feature of motor control. The degeneration of these neurons is involved in movement disorders, particularly Parkinson's Disease. Modelling of this activity is an important part of developing an understanding of the pathogenic process. We develop a mathematical paradigm to describe this activity with a single compartment approach and a CellML version is made publicly available. The model explicitly describes the dynamics of the transmembrane potential with changes in the levels of important cations and is consistent with two major observations in the literature regarding its behaviour in the presence of channel blockers. Stability of the model behaviour is determined from the properties of its Mon-odromy matrix. We also discuss from the perspective of energy, a pharmacological intervention suggested in the treatment of Parkinson's Disease.
机译:中脑多巴胺能神经元的自发振荡是运动控制的重要特征。这些神经元的变性涉及运动障碍,特别是帕金森氏病。对此活动进行建模是发展对致病过程的了解的重要组成部分。我们开发了一种数学范式来描述这种活动,采用一种单一的方法,并且CellML版本已公开发布。该模型明确描述了跨膜电位随重要阳离子水平的变化而变化的动力学,并且与文献中关于存在通道阻滞剂时其行为的两个主要观察结果一致。模型行为的稳定性取决于其Mon-odromy矩阵的属性。我们还从能量的角度讨论了在帕金森氏病治疗中建议的药理干预措施。

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