Description
The Larter-Breakspear is an extension (Breakspear et al., 2003a, 2003b) of the biophysical-inspired neural mass model of a cortical column (or area) from Larter et al. (1999), initially developed to simulate firing rate activity from focal region involved in partial seizure. It is determined by voltage- and ligand-gated ions channels and feedback between intensively interconnected excitatory and inhibitory neurons.
The Larter-Breakspear is a 3D model describing the local average states of two interconnected neural populations: pyramidal cells (PCs) and inhibitory interneurons (IINs), with an additional variable representing the potassium channels in the population of PCs.
The membrane potential of the pyramidal cells is the focus of the model and is governed by sodium,
potassium, calcium and “leaky” ion channels, of which the voltage-gated potassium channels are modelled in more detail.
The excitatory to excitatory connections are modelled in more detail as glutamatergic connections with AMPA and NMDA receptors.
Note:
- Equations and default parameters are taken from (Breakspear et al., 2003b),
- All equations and parameters are non-dimensional and normalized to neural capacitance C = 1.