Hoffmann Felix Z, Triesch Jochen
Frankfurt Institute for Advanced Studies (FIAS), Johann Wolfgang Goethe University, Frankfurt am Main, Germany.
International Max Planck Research School for Neural Circuits, Max Planck Institute for Brain Research, Frankfurt am Main, Germany.
Netw Neurosci. 2017 Feb 1;1(1):31-41. doi: 10.1162/NETN_a_00004. eCollection 2017 Winter.
Overrepresentation of bidirectional connections in local cortical networks has been repeatedly reported and is a focus of the ongoing discussion of nonrandom connectivity. Here we show in a brief mathematical analysis that in a network in which connection probabilities are symmetric in pairs, = , the occurrences of bidirectional connections and nonrandom structures are inherently linked; an overabundance of reciprocally connected pairs emerges necessarily when some pairs of neurons are more likely to be connected than others. Our numerical results imply that such overrepresentation can also be sustained when connection probabilities are only approximately symmetric.
局部皮层网络中双向连接的过度呈现已被多次报道，并且是当前关于非随机连接性讨论的焦点。在此，我们通过一个简短的数学分析表明，在一个连接概率成对对称的网络中，即 = ，双向连接的出现与非随机结构存在内在联系；当某些神经元对之间比其他神经元对更有可能建立连接时，必然会出现过多的相互连接对。我们的数值结果表明，当连接概率只是近似对称时，这种过度呈现也能够维持。
