钙离子与EEG的量子相互作用
Quantum calcium-ion interactions with EEG
摘要：
以前的论文已经开发了一个统计力学的新皮层相互作用（SMNI）适合短期记忆和EEG数据。自适应模拟退火（ASA）已被开发来执行这样的非线性随机系统的拟合。量子系统的N维路径积分算法qPATHINT是在经典PATHINT的基础上发展起来的。两者都在长时间内折叠短时间传播子（分布或波函数）。之前的论文将qPATHINT应用于两个系统，即新皮层相互作用和金融期权。\textbf{Objective}：在本文中，钙离子的量子路径积分被用来导出一个封闭形式的解析解在任意时间，用于计算与经典物理SMNI尺度之间的相互作用。使用该SMNI模型对EEG数据的拟合，包括这些效应，将有助于确定这是否是一种合理的方法。\textbf{Method}：在这个项目中使用了经典和量子空间中优化和路径积分的物理学方法。使用超级计算机资源的研究测试了各种维度的缩放极限。在本文中，量子路径积分被用来推导出一个封闭的形式的解析解在任意时间，用于计算与经典物理SMNI相互作用的尺度之间的相互作用。\textbf{Results}：该研究的物理学和计算机部分是成功的，因为使用这些模型来拟合EEG数据的成本/目标函数有适度的改进。\textbf{Conclusion}：该项目指出了在每个时间片使用更多EEG数据和qPATHINT进行更详细计算的方向，以传播量子钙波，与经典SMNI的PATHINT传播同步。
英文摘要：
Previous papers have developed a statistical mechanics of neocortical interactions (SMNI) fit to short-term memory and EEG data. Adaptive Simulated Annealing (ASA) has been developed to perform fits to such nonlinear stochastic systems. An N-dimensional path-integral algorithm for quantum systems, qPATHINT, has been developed from classical PATHINT. Both fold short-time propagators (distributions or wave functions) over long times. Previous papers applied qPATHINT to two systems, in neocortical interactions and financial options. \textbf{Objective}: In this paper the quantum path-integral for Calcium ions is used to derive a closed-form analytic solution at arbitrary time that is used to calculate interactions with classical-physics SMNI interactions among scales. Using fits of this SMNI model to EEG data, including these effects, will help determine if this is a reasonable approach. \textbf{Method}: Methods of mathematical-physics for optimization and for path integrals in classical and quantum spaces are used for this project. Studies using supercomputer resources tested various dimensions for their scaling limits. In this paper the quantum path-integral is used to derive a closed-form analytic solution at arbitrary time that is used to calculate interactions with classical-physics SMNI interactions among scales. \textbf{Results}: The mathematical-physics and computer parts of the study are successful, in that there is modest improvement of cost/objective functions used to fit EEG data using these models. \textbf{Conclusion}: This project points to directions for more detailed calculations using more EEG data and qPATHINT at each time slice to propagate quantum calcium waves, synchronized with PATHINT propagation of classical SMNI.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
