人类连接体上的守恒Ising模型
Conserved Ising Model on the Human Connectome
摘要：
在人类大脑的大规模架构上实现的动态模型可能会揭示功能是如何从底层结构中产生的。对于简单的抽象模型，如伊辛模型，情况尤其如此。我们比较了伊辛模型的自旋相关性和经验功能性脑相关性，无论是在单链路水平和模块化水平，并表明它们的匹配增加在麻醉模块化水平，符合最近的结果和理论。此外，我们表明，在峰值的比热（\it{critical state}）的自旋相关性是最低限度地塑造了底层的结构网络，解释如何获得最佳的结构和功能之间的匹配在临界状态的开始，如前所述。这些研究结果证实，麻醉下的脑动力学表现出偏离临界状态，并可能开辟新的观点时，保守的磁化解释的稳态原则施加到神经活动。
英文摘要：
Dynamical models implemented on the large scale architecture of the human brain may shed light on how function arises from the underlying structure. This is the case notably for simple abstract models, such as the Ising model. We compare the spin correlations of the Ising model and the empirical functional brain correlations, both at the single link level and at the modular level, and show that their match increases at the modular level in anesthesia, in line with recent results and theories. Moreover, we show that at the peak of the specific heat (the \it{critical state}) the spin correlations are minimally shaped by the underlying structural network, explaining how the best match between structure and function is obtained at the onset of criticality, as previously observed. These findings confirm that brain dynamics under anesthesia shows a departure from criticality and could open the way to novel perspectives when the conserved magnetization is interpreted in terms of an homeostatic principle imposed to neural activity.
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