References

  1. Foreman-Mackey, D., Hogg, D. W., Lang, D., Goodman, J. (2013). emcee: The MCMC Hammer. PASP 125, 306-312.
  2. Hindmarsh, J. L., and Rose, R. M. (1984) A model of neuronal bursting using three coupled first order differential equations. Proc. R. Soc. London, Ser. B 221, 87–102.
  3. Hodgkin, A., and Huxley, A. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117, 500–544.
  4. Holland, J. H. (1973). Genetic algorithms and the optimal allocation of trials. SIAMJ. Comput. 2, 88–105.
  5. Goodman, J., & Weare, J. (2010). Ensemble samplers with affine invariance. Communications in Applied Mathematics and Computational Science, 5(1), 65-80.
  6. Izhikevich, E. M. (2003). Simple model of spiking neurons. IEEE Transactions on Neural Networks 14, 1569-1572.
  7. Kreuz, T., Mulansky, M., Bozanic, N.  (2015). SPIKY: A graphical user interface for monitoring spike train synchrony. J Neurophysiol 113, 3432.
  8. Loskutov, E., Molkov, Y., Mukhin, D., & Feigin, A. (2007). Markov chain Monte Carlo method in Bayesian reconstruction of dynamical systems from noisy chaotic time series. Physical Review E Phys. Rev. E, 77(6), 066214.
  9. Lynch, E. P., and Houghton, C. J. (2015). Parameter estimation of neuron models using in-vitro and in-vivo electrophysiological data. Frontiers in Neuroinformatics 9, 1-15.
  10. Nagel, K. I. & Doupe, A. J. (2008). Organizing principles of spectro-temporal encoding in the avian primary auditory area Field L. Neuron 58, 938-955.
  11. Peng, B., Liu, B., Zhang,  F., & Wang, L. (2009). Differential evolution algorithm-based parameter estimation for chaotic systems. Chaos, Solitons & Fractals 39 (5), 2110-2118.
  12. Storace, M., Linaro, D., & De Lange, E. (2008). The Hindmarsh–Rose neuron model: Bifurcation analysis and piecewise-linear approximations. Chaos: An Interdisciplinary Journal of Nonlinear Science 18, 033128.
  13. Shulnikov, A. & Kolomiets, M. (2008). Methods of the Qualitative Theory for the Hindmarsh-Rose Model: A Case Study. A Tutorial. Internation Journal of Bifurcation and Chaos 18, 2142-2168.
  14. Theunissen, F. E., Sen, K., & Doupe, A. J. (2000). Spectro-temporal receptive fields of nonlinear auditory neurons obtained using natural sounds. J. Neurosci. 20, 2315-2331.
  15. Toth, B.A., Kostuk, M., Meliza, C.D., Margoliash, D., Abarbanel, H.D.I. (2011). Dynamical estimation of neuron and network properties I: Variational Methods. Biol Cybern 105, 217–237.
  16. van Rossum, M. (2001). A novel spike distance. Neural Comput. 13, 751–763.