Francis Febe, García Míriam R, Middleton Richard H
Hamilton Institute, NUI Maynooth, Co. Kildare, Ireland.
J Comput Neurosci. 2013 Dec;35(3):295-316. doi: 10.1007/s10827-013-0453-9. Epub 2013 May 19.
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 Monodromy matrix. We also discuss from the perspective of energy, a pharmacological intervention suggested in the treatment of Parkinson's Disease.
中脑多巴胺能神经元的自发振荡是运动控制的一个重要特征。这些神经元的退化与运动障碍有关，尤其是帕金森病。对这种活动进行建模是深入了解致病过程的重要组成部分。我们开发了一种数学范式，用单室方法描述这种活动，并公开了一个CellML版本。该模型明确描述了跨膜电位随重要阳离子水平变化的动态，并且与文献中关于其在通道阻滞剂存在下行为的两个主要观察结果一致。模型行为的稳定性由其单值矩阵的性质决定。我们还从能量的角度讨论了帕金森病治疗中建议的一种药物干预措施。
