Spiking neural network implementation^[1] with AdEx neurons^[2]

To-do:

• Clean up AdEx/neuron_parameters.jl
• Test this by replicating the results of Pan et al.^[4]

Current state

• Pedantic Heun's method^[5] implemented (no longer utilises DifferentialEquations.jl)
• AdEx_Neuron_T1^[2] implemented
• AdEx_Neuron_T2^[1] implemented
• AdEx_Neuron_Excitatory^[3] implemented
• AdEx_Interneuron_SST^[3] implemented
• AdEx_Interneuron_PV^[3] implemented
• All (inter-)neurons can have multiple types of synapses
• GABA_a, GABA_b, AMPA & NMDA synapses^[1] implemented
• Now properly modelling interactions of Exc -> SST and PV -> Exc, as described by Park & Geffen^[3] and Tremblay et al.^[6]
• White gaussian noise injection implemented for neurons
• Comprehensive plots added
  • For example, for the A1-microcircuit specified in snn.jl we get the following plots:
    • Spike train plots
      • 
    • Neuron history plots with one neuron per row
      • 
    • Synapse history plots, left column I(t), right column g(t), rows = one synapse
      • 

Dependencies

• Parameters (required)
• Distributions (required)
• Plots (required only if AdEx/model_plots.jl is included)

References

• [1] Gerstner, W., Kistler, W.M., Naud, R., & Paninski, L. (2014). Neuronal Dynamics: From Single Neurons to Networks and Models of Cognition. New York: CUP.

• [2] Brette, R., & Gerstner, W. (2005). Adaptive exponential integrate-and-fire model as an effective description of neuronal activity. Journal of Neurophysiology, 94, 3637-3642. DOI: http://dx.doi.org/10.1152/jn.00686.2005.

• [3] Park, Y., & Geffen, M.N. (preprint). A unifying mechanistic model of excitatory-inhibitory interactions in the auditory cortex. bioRxiv, 626358. DOI: http://dx.doi.org/10.1101/626358

• [4] Pan, Z., Chua, Y., Wu, J., Zhang, M., Li, H., & Ambikairajah, E. (2020). Motivated auditory neural encoding and decoding algorithm for spiking neural networks. Frontiers in Neuroscience: Neuromorphic Engineering, 13, 1420. DOI: http://dx.doi.org/10.3389/fnins.2019.01420

• [5] Numerical Methods--Heun's method. (n.d.). CalculusLab, San Joaquin Delta College. Retrieved May 5, 2020, from http://calculuslab.deltacollege.edu/ODE/7-C-2/7-C-2-h.html

• [6] Tremblay, R., Lee, S., & Rudy, B. (2016). GABAergic interneurons in the neocortex: From cellular properties to circuits. Neuron, 91, 260-292. DOI: http://dx.doi.org/10.1016/j.neuron.2016.06.033