Closed-form modeling of neuronal spike train statistics using multivariate Hawkes cumulants

• Main Authors: Privault, Nicolas, Thieullen, Michèle
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Multivariant Analysis; Sensitivity Analysis
• Online Access: https://hdl.handle.net/10356/170798
• Institution: Nanyang Technological University

We derive exact analytical expressions for the cumulants of any orders of neuronal membrane potentials driven by spike trains in a multivariate Hawkes process model with excitation and inhibition. Such expressions can be used for the prediction and sensitivity analysis of the statistical behavior of...