Braitenberg V
Max-Planck Institute for Biological Cybernetics, Institute of Medical Psychology of the University, Tübingen.
J Comput Neurosci. 2001 Jan-Feb;10(1):71-7. doi: 10.1023/a:1008920127052.
Certain remarkable invariances have long been known in comparative neuroanatomy, such as the proportionality between neuronal density and the inverse of the cubic root of brain volume or that between the square root of brain weight and the cubic root of body weight. Very likely these quantitative relations reflect some general principles of the architecture of neuronal networks. Under the assumption that most of brain volume is due to fibers, we propose four abstract models: I, constant fiber length per neuron; II, fiber length proportionate to brain diameter; III, complete set of connections between all neurons; IV, complete set of connections between compartments each containing the square root of the total number of neurons. Model I conforms well to the cerebellar cortex. Model II yields the observed comparative invariances between number of neurons and brain size. Model III is totally unrealistic, while Model IV is compatible with the volume of the hemispheric white substance in different mammalian species.
在比较神经解剖学中，某些显著的不变性早已为人所知，比如神经元密度与脑容量立方根倒数之间的比例关系，或者脑重量平方根与体重立方根之间的比例关系。这些定量关系很可能反映了神经网络结构的一些普遍原则。在假定大脑大部分体积归因于纤维的前提下，我们提出了四个抽象模型：模型I，每个神经元的纤维长度恒定；模型II，纤维长度与脑直径成比例；模型III，所有神经元之间的完整连接集；模型IV，每个隔室包含神经元总数平方根的完整连接集。模型I与小脑皮质非常契合。模型II得出了观察到的神经元数量与脑大小之间的比较不变性。模型III完全不现实，而模型IV与不同哺乳动物物种的半球白质体积相符。
