### implement Randles circuit in NEURON

Posted:

**Tue Sep 29, 2020 6:52 pm**I need to implement the Randles circuit to an existing NEURON network model (running in parallel), reflecting electrode-electrolyte interface effect. I inserted the schematic of Randles circuit below (from Fig 3 in Lempka et al., 2013). The network model already can calculate&output LFP at each time step, which should be corresponding to φLFP at the top in the schematic. and my task is to get φrec at the bottom, per each time step.

I'm not clear how to do this in the real-time simulation of NEURON. What I have in mind is, perhaps, transfer the entire Randle circuit into frequency domain (by laplace transfer), and calculate the response for φrec in frequency domain, and then convert it into time domain? But how will it be implemented in real time?

Were there any previous models performed similar tasks?

[/img]https://imgur.com/OV0MwJv[/img]

Thanks in advance.

Reference:

Lempka SF, McIntyre CC. Theoretical analysis of the local field potential in deep brain stimulation applications. PLoS One 2013; 8: e59839.

I'm not clear how to do this in the real-time simulation of NEURON. What I have in mind is, perhaps, transfer the entire Randle circuit into frequency domain (by laplace transfer), and calculate the response for φrec in frequency domain, and then convert it into time domain? But how will it be implemented in real time?

Were there any previous models performed similar tasks?

[/img]https://imgur.com/OV0MwJv[/img]

Thanks in advance.

Reference:

Lempka SF, McIntyre CC. Theoretical analysis of the local field potential in deep brain stimulation applications. PLoS One 2013; 8: e59839.