Once I had Octave up and running, and was able to install an implementation of the LPC, I was able to run the LPC algorithm on a few simulated neuron plots. I tried this with the period length for P, but found that using 10 (which is standard for audio processing) actually works better.
Original plot of neuron where Na=2.3, CaT = 3.33, CaS = 3.33, A = 3.4, KCa = 2.1, Kd = 4.2, h = 5, leak = 2

Red line is the original plot, green is the estimated:

Original Plot of neuron where Na=2.3, CaT = 5, CaS = 0, A = 3.4, KCa = 2.1, Kd = 4.2, h = 5, leak = 2

Red line is the original plot, green is the estimated:

f nOriginal plor of neuron where Na=2.3, CaT = 3.33, CaS = 0, A = 3.4, KCa = 2.1, Kd = 4.2, h = 5, leak = 2

Red line is the original plot, green is the estimated:
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