Thalamocortical loop with delay for investigation of absence epilepsy (Liu et al 2019)
Conductance based network model of one thalamic reticular neuron, one thalamic pyramidal neuron and one cortical pyramidal neuron. Used to show that large delay in the corticothalamic connection can lead to multistability.
The XPPAUT code for the paper: **Y.Liu, J. Milton and S.A. Campbell (2019)** Outgrowing seizures in Childhood Absence Epilepsy: time delays and bistability Journal of Computational Neuroscience, [doi:10.1007/s10827-019-00711-x](https://doi.org/10.1007/s10827-019-00711-x). Details on installing XPPAUT can be found on [Bard Ermentrout's XPPAUT webpage](http://www.math.pitt.edu/~bard/xpp/xpp.html). To reproduce figures in paper, all parameters can be left at default values: (Initialconds -> Go) ![screenshot 0]([binary]) except as follows. **Figure 2**: (use Parameters menu, type variable name, value) (type escape key "esc" when done/ready to run the model) gd\_AMPA=0,ge\_AMPA=0. Left: Itc\_ext\_c=5; ![screenshot 1]([binary]) Right: Itc\_ext\_c=6 Top gb\_GABAA=0.6; ![screenshot 2]([binary]) Bottom: gb\_GABAA=0.1 ![screenshot 3]([binary]) Middle gb\_GABAA=0.3; ![screenshot 4]([binary]) **Figure 3**: gd\_AMPA=0,ge\_AMPA=0. Itc\_ext\_c=5, Itc\_pert=1.5, ontime=2000, offtime=2500 Left gb\_GABAA=0.1; Middle gb\_GABAA=0.4; Right: gb\_GABAA=0.7 **Figure 4**: Itc\_ext=5, tau1=9, tau2=2.8 Top left gb\_GABAA=0.6; Top right gb\_GABAA=0.1; Bottom left: gb\_GABAA=0.29; Bottom right: gb\_GABAA=0.2; **Figure 5**: Itc\_ext\_c=5, tau2=2.8 Left gb\_GABAA=0.6, tau1=4.2 Right gb\_GABAA=0.5, tau1=8.4 **Figure 6**: Itc\_ext\_c=5, tau2=2.8, Itc\_pert=1, ontime=2000, offtime=2300 Left gb\_GABAA=0.7; Right: gb\_GABAA=0.4 Top tau1=8.4; Bottom: tau1=2.8 To modify the initial conditions for Figure 6 as described on page 7 of the paper, use the "delay ICs" window in XPPAUT.
Neuron or other electrically excitable cell
Yue Liu, John Milton & Sue Ann Campbell. Outgrowing seizures in Childhood Absence Epilepsy: time delays and bistability. Journal of Computational Neuroscience 46, 2: 197-209 (2019).