Neural networks of different species, brain areas and states can be characterized by the probability polling state.

Journal: The European journal of neuroscience
Published Date:

Abstract

Cortical networks are complex systems of a great many interconnected neurons that operate from collective dynamical states. To understand how cortical neural networks function, it is important to identify their common dynamical operating states from the probabilistic viewpoint. Probabilistic characteristics of these operating states often underlie network functions. Here, using multi-electrode data from three separate experiments, we identify and characterize a cortical operating state (the "probability polling" or "p-polling" state), common across mouse and monkey with different behaviors. If the interaction among neurons is weak, the p-polling state provides a quantitative understanding of how the high dimensional probability distribution of firing patterns can be obtained by the low-order maximum entropy formulation, effectively utilizing a low dimensional stimulus-coding structure. These results show evidence for generality of the p-polling state and in certain situations its advantage of providing a mathematical validation for the low-order maximum entropy principle as a coding strategy.

Authors

  • Zhi-Qin John Xu
    School of Mathematical Sciences, MOE-LSC and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China.
  • Xiaowei Gu
    CAS Center for Excellence in Brain Science and Intelligence Technology, Institute of Neuroscience, Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences, Shanghai, China.
  • Chengyu Li
    CAS Center for Excellence in Brain Science and Intelligence Technology, Institute of Neuroscience, Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences, Shanghai, China.
  • David Cai
    School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China.
  • Douglas Zhou
    School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China; xhzhang@bnu.edu.cn david.mclaughlin@nyu.edu zdz@sjtu.edu.cn.
  • David W McLaughlin
    Courant Institute of Mathematical Sciences, New York University, New York, NY 10012; xhzhang@bnu.edu.cn david.mclaughlin@nyu.edu zdz@sjtu.edu.cn.