Mathematical modelling and numerical simulation of the morphological development of neurons.
Mathematical modelling and numerical simulation of the morphological development of neurons.
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DOI：
10.1186/1471-2202-7-s1-s9
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发表时间：
2006-10-30
期刊：
影响因子：
2.4
通讯作者：
van Ooyen A
中科院分区：
文献类型：
--
作者：
Graham BP;van Ooyen A
神经元的形态发育是一个非常复杂的过程，涉及遗传和环境因素。数学建模和数值模拟是帮助我们揭示单个神经元如何生长其特征形态并最终相互形成适当网络的特定方面的宝贵工具。综述了各种考虑（1）神经突起始（2）神经突延伸（3）轴突寻路和（4）神经突分支和树突形状形成的数学模型。还描述了所采用的不同数学技术。模拟结果与实验数据进行了比较。不同的建模技术的批评，导致一个统一的建模环境的神经元发育模型的建议。一个统一的数学和数值模拟框架，应导致神经元发育模型的工作扩展，如发生与神经元电活动的房室模型。
The morphological development of neurons is a very complex process involving both genetic and environmental components. Mathematical modelling and numerical simulation are valuable tools in helping us unravel particular aspects of how individual neurons grow their characteristic morphologies and eventually form appropriate networks with each other. A variety of mathematical models that consider (1) neurite initiation (2) neurite elongation (3) axon pathfinding, and (4) neurite branching and dendritic shape formation are reviewed. The different mathematical techniques employed are also described. Some comparison of modelling results with experimental data is made. A critique of different modelling techniques is given, leading to a proposal for a unified modelling environment for models of neuronal development. A unified mathematical and numerical simulation framework should lead to an expansion of work on models of neuronal development, as has occurred with compartmental models of neuronal electrical activity.