We examine the effect of the phase-resetting curve (PRC) on the transfer of correlated input signals into correlated output spikes in a class of neural models receiving noisy, super-threshold stimulation. We use linear response theory to approximate the spike correlation coefficient in terms of moments of the associated exit time problem, and contrast the results for Type I vs. Type II models and across the different timescales over which spike correlations can be assessed. We find that, on long timescales, Type I oscillators transfer correlations much more efficiently than Type II oscillators. On short timescales this trend reverses, with the relative efficiency switching at a timescale that depends on the mean and standard deviation of input currents. This switch occurs over timescales that could be exploited by downstream circuits.
Finite-state Markovian surrogates for long-time neuronal state distributions and firing rates
Courant Institute of Mathematical Sciences, New York University（纽约大学柯朗数学科学研究所）；Center for Bioinformatics, National Laboratory of Protein Engineering and Plant Genetic Engineering, School of Life Sciences, Peking University（北京大学生命科学学院生物信息中心，蛋白质工程及植物基因工程国家重点实验室）；Center for Quantitative Biology, Academy for Advanced Interdisciplinary Studies, Peking University（北京大学前沿交叉学科研究院定量生物学中心）；NYU-ECNU Institute of Brain and Cognitive Science, New York University Shanghai（上海纽约大学脑与认知科学联合研究院）；NYU-ECNU Institute of Mathematical Sciences, New York University Shanghai（上海纽约大学数学科学联合研究院）
Inferring Multi-Timescale Neural Dynamics with Switching Linear Dynamical Systems
Center for Neurocomputation and Machine Intelligence, Wu Tsai Institute（吴蔡研究所神经计算与机器智能中心）；Department of Biomedical Engineering（生物医学工程系）；Yale University（耶鲁大学）
Statistical Mechanics of Spike Trains: Self-Consistent Activity Ensembles and Phase Transitions
Université Paris Cité（巴黎西岱大学）；Institute of Psychiatry and Neuroscience of Paris (IPNP)（巴黎精神病学与神经科学研究所）；INSERM U1266（法国国家健康与医学研究院 U1266）；Hôpital Fondation Adolphe de Rothschild（阿道夫·德·罗斯柴尔德基金会医院）；Medical University of Gdańsk（格但斯克医科大学）；Sorbonne Université（索邦大学）；CNRS（法国国家科学研究中心）；Laboratoire de Physique Théorique de la Matière Condensée, LPTMC（凝聚态物质理论物理实验室）；Institut Universitaire de France (IUF)（法兰西学院）；LIB, Sorbonne Université, INSERM, CNRS（索邦大学、法国国家健康与医学研究院、法国国家科学研究中心 LIB）；Institute of Theoretical and Applied Informatics, Polish Academy of Sciences（波兰科学院理论与应用信息学研究所）；International Centre for Theory of Quantum Technologies (ICTQT), University of Gdansk（格但斯克大学量子技术理论国际中心）
