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

• المؤلفون الرئيسيون: Privault, Nicolas, Thieullen, Michèle
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2023
• الموضوعات: Science::Mathematics; Multivariant Analysis; Sensitivity Analysis
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/170798
• المؤسسة: 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...