Measuring functional connectivity from neural recordings is important in understanding
processing in cortical networks. The covariance-based methods are the current
golden standard for functional connectivity estimation. However, the link between the
pair-wise correlations and the physiological connections inside the neural network is unclear.
Therefore, the power of inferring physiological basis from functional connectivity estimation
is limited. To build a stronger tie and better understand the relationship between functional
connectivity and physiological neural network, we need (1) a realistic model to simulate
different types of neural recordings with known ground truth for benchmarking; (2) a new
functional connectivity method that produce estimations closely reflecting the physiological
basis.
In this thesis, (1) I tune a spiking neural network model to match with human sleep
EEG data, (2) introduce a new class of methods for estimating connectivity from different
kinds of neural signals and provide theory proof for its superiority, (3) apply it to simulated
fMRI data as an application.