Functional optimality of the sulcus pattern of the human brain.
Functional optimality of the sulcus pattern of the human brain.
复制标题
人脑沟模式的功能优化。
DOI：
10.1093/imammb/dqy007
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Michael Ortiz
中科院分区：
文献类型：
--
作者：
S. Heyden;Michael Ortiz
我们开发了一个通过人类大脑的生物神经网络传递信息的数学模型。大脑的整体功能由信息通过神经网络传播而产生的突发过程组成。因此，大脑的容量与它通过神经网络传递信息的速度有关。正在考虑的特定传输模型允许信息沿着皮质点之间的多条路径传输。由此产生的传输速率由电位理论控制。根据这一理论，大脑具有与经典Steklov特征值问题的特征函数相对应的首选和量化的传输模式，其倒数特征值量化了相应的传输速率。我们将该模型作为检验假设的基础，即人类大脑的沟模式已经进化到最大化大脑皮层中点之间的信息传输速率。我们表明，在平滑域中引入沟槽或切割确实增加了总体传输速率。我们通过数值实验证明了这一结果，该数值实验涉及球面上有不同数量的狭缝。
We develop a mathematical model of information transmission across the biological neural network of the human brain. The overall function of the brain consists of the emergent processes resulting from the spread of information through the neural network. The capacity of the brain is therefore related to the rate at which it can transmit information through the neural network. The particular transmission model under consideration allows for information to be transmitted along multiple paths between points of the cortex. The resulting transmission rates are governed by potential theory. According to this theory, the brain has preferred and quantized transmission modes that correspond to eigenfunctions of the classical Steklov eigenvalue problem, with the reciprocal eigenvalues quantifying the corresponding transmission rates. We take the model as a basis for testing the hypothesis that the sulcus pattern of the human brain has evolved to maximize the rate of transmission of information between points in the cerebral cortex. We show that the introduction of sulci, or cuts, in an otherwise smooth domain indeed increases the overall transmission rate. We demonstrate this result by means of numerical experiments concerned with a spherical domain with a varying number of slits on its surface.
影响因子：
5.3
作者：
Budday S;Steinmann P;Kuhl E
通讯作者：
Kuhl E
DOI：
10.1115/1.4001683
发表时间：
2010-07
期刊：
Journal of biomechanical engineering
影响因子：
--
作者：
Xu G;Knutsen AK;Dikranian K;Kroenke CD;Bayly PV;Taber LA
通讯作者：
Taber LA