# Suggested further readings


### Phase plane analysis

Gerstner, W., Kistler, W. M., Naud, R., and Paninski, L. (2014). Neuronal dynamics: From single neurons to networks and models of cognition, chapter 4 Cambridge University Press. URL: [neuronaldynamics.epfl.ch/online/Ch4.html](https://neuronaldynamics.epfl.ch/online/Ch4.html)

### Firing rate based models

Wilson, H. R., & Cowan, J. D. (1972). Excitatory and inhibitory interactions in localized populations of model neurons. Biophysical journal 12(1): 1-24. doi: [10.1016/S0006-3495(72)86068-5](https://doi.org/10.1016/S0006-3495(72)86068-5) {{ open_access }}.

### Balanced amplification

Murphy, B. K., and Miller, K. D. (2009). Balanced amplification: a new mechanism of selective amplification of neural activity patterns. Neuron 61(4): 635-648. doi: [10.1016/j.neuron.2009.02.005](https://doi.org/10.1016/j.neuron.2009.02.005) {{ open_access }}.

### Inhibition stabilized networks

Ozeki, H., Finn, I. M., Schaffer, E. S., Miller, K. D., and Ferster, D. (2009). Inhibitory stabilization of the cortical network underlies visual surround suppression. Neuron 62(4): 578-592. doi: [10.1016/j.neuron.2009.03.028](https://doi.org/10.1016/j.neuron.2009.03.028) {{ open_access }}.

Sanzeni, A., Akitake, B., Goldbach, H. C., Leedy, C. E., Brunel, N., and Histed, M. H. (2020). Inhibition stabilization is a widespread property of cortical networks. Elife 9: e54875. doi: [10.7554/eLife.54875](https://doi.org/10.7554/eLife.54875) {{ open_access }}.

Tsodyks, M. V., Skaggs, W. E., Sejnowski, T. J., and McNaughton, B. L. (1997). Paradoxical effects of external modulation of inhibitory interneurons. Journal of neuroscience 17(11): 382-4388. doi: [10.1523/JNEUROSCI.17-11-04382.1997](https://doi.org/10.1523/JNEUROSCI.17-11-04382.1997) {{ open_access }}.

### Stabilized supralinear networks

Ahmadian, Y., Rubin, D. B., and Miller, K. D. (2013). Analysis of the stabilized supralinear network. Neural computation 25(8): 1994-2037. doi: [10.1162/NECO_a_00472](https://doi.org/10.1162/NECO_a_00472) {{ closed_access }} (postprint: [europepmc.org/articles/pmc4026108](https://europepmc.org/articles/pmc4026108) {{ open_access }}) or [arxiv:1202.6670](https://arxiv.org/abs/1202.6670).

Ahmadian, Y., and Miller, K. D. (2021). What is the dynamical regime of cerebral cortex?. Neuron 109(21): 3373-3391. doi: [10.1016/j.neuron.2021.07.031](https://doi.org/10.1016/j.neuron.2021.07.031) {{ closed_access }} (preprint: [arxiv.org/pdf/1908.10101](http://arxiv.org/pdf/1908.10101) {{ open_access }}) or [arxiv:1908.10101](https://arxiv.org/abs/1908.10101).

Hennequin, G., Ahmadian, Y., Rubin, D. B., Lengyel, M., and Miller, K. D. (2018). The dynamical regime of sensory cortex: stable dynamics around a single stimulus-tuned attractor account for patterns of noise variability. Neuron 98(4): 846-860. doi: [10.1016/j.neuron.2018.04.017](https://doi.org/10.1016/j.neuron.2018.04.017) {{ open_access }}.

Lindsay, G. W., Rubin, D. B., and Miller, K. D. (2019). A simple circuit model of visual cortex explains neural and behavioral aspects of attention. bioRxiv 875534. doi: [10.1101/2019.12.13.875534](https://doi.org/10.1101/2019.12.13.875534) {{ open_access }}.

Rubin, D. B., Van Hooser, S. D., and Miller, K. D. (2015). The stabilized supralinear network: a unifying circuit motif underlying multi-input integration in sensory cortex. Neuron 85(2): 402-417. doi: [10.1016/j.neuron.2014.12.026](https://doi.org/10.1016/j.neuron.2014.12.026) {{ open_access }}.

### Network of binary neurons

Van Vreeswijk, C., and Sompolinsky, H. (1996). Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274(5293): 1724-1726. doi: [10.1126/science.274.5293.1724](https://doi.org/10.1126/science.274.5293.1724) {{ closed_access }}.

### Spiking neuronal networks

Brunel, N. (2000). Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. Journal of computational neuroscience, 8(3), 183-208. doi: [10.1023/A:1008925309027](https://doi.org/10.1023/A:1008925309027) {{ closed_access }}.

Brunel, N., and Wang, X. J. (2003). What determines the frequency of fast network oscillations with irregular neural discharges? I. Synaptic dynamics and excitation-inhibition balance. Journal of neurophysiology 90(1): 415-430. doi: [10.1152/jn.01095.2002](https://doi.org/10.1152/jn.01095.2002) {{ closed_access }}.