Amari, S. I. (1974). A method of statistical neurodynamics. Kybernetik, 14(4), 201–215.
Article CAS PubMed Google Scholar
Amari, S. I. (1977). Dynamics of pattern formation in lateral-inhibition type neural fields. Biological Cybernetics., 27(2), 77–87.
Article CAS PubMed Google Scholar
Arnol'd VI. (2013). Mathematical methods of classical mechanics (Vol. 60). Springer Science & Business Media. https://doi.org/10.1007/978-1-4757-1693-1
Atay, F. M., & Hutt, A. (2006). Neural fields with distributed transmission speeds and long-range feedback delays. SIAM Journal on Applied Dynamical Systems., 5(4), 670–698.
Bak, P., Tang, C., & Wiesenfeld, K. (1988). Self-Organized Criticality. Physical Review A, 38(1), 364.
Bosking, W. H., Zhang, Y., Schofield, B., & Fitzpatrick, D. (1997). Orientation selectivity and the arrangement of horizontal connections in tree shrew striate cortex. Journal of Neuroscience., 17(6), 2112–2127.
Article CAS PubMed Google Scholar
Bragin, A., Engel, J., Jr., Wilson, C. L., Fried, I., & Mathern, G. W. (1999). Hippocampal and entorhinal cortex high-frequency oscillations (100–500 Hz) in human epileptic brain and in kainic acid-treated rats with chronic seizures. Epilepsia, 40(2), 127–137.
Article CAS PubMed Google Scholar
Breakspear, M., Heitmann, S., & Daffertshofer, A. (2010). Generative models of cortical oscillations: Neurobiological implications of the Kuramoto model. Frontiers in Human Neuroscience., 11(4), 190.
Bressloff, P. C. (2003). Spatially periodic modulation of cortical patterns by long-range horizontal connections. Physica d: Nonlinear Phenomena., 185(3–4), 131–157.
Bressloff, P. C., & Coombes, S. (2000). Dynamics of strongly coupled spiking neurons. Neural Computation., 12(1), 91–129.
Article CAS PubMed Google Scholar
Bressloff, P. C., & Cowan, J. D. (2002). The visual cortex as a crystal. Physica d: Nonlinear Phenomena., 173(3–4), 226–258.
Brunel, N., & Van Rossum, M. C. (2007). Lapicque’s 1907 paper: From frogs to integrate-and-fire. Biological Cybernetics., 97(5–6), 337–339.
Buonomano, D. V., & Maass, W. (2009). State-dependent computations: Spatiotemporal processing in cortical networks. Nature Reviews Neuroscience., 10(2), 113–125.
Article CAS PubMed Google Scholar
Catterall, W. A., Raman, I. M., Robinson, H. P., Sejnowski, T. J., & Paulsen, O. (2012). The Hodgkin-Huxley heritage: From channels to circuits. Journal of Neuroscience., 32(41), 14064–14073.
Article CAS PubMed Google Scholar
Chervin, R. D., Pierce, P. A., & Connors, B. W. (1988). Periodicity and directionality in the propagation of epileptiform discharges across neortex. Journal of Neurophysiology, 60, 1695–1713.
Article CAS PubMed Google Scholar
Conant, R. C., & Ross, A. W. (1970). Every good regulator of a system must be a model of that system. International Journal of Systems Science., 1(2), 89–97.
Cook, B. J., Peterson, A. D., Woldman, W., & Terry, J. R. (2022). Neural Field Models: A mathematical overview and unifying framework. Mathematical Neuroscience and Applications., 19, 2.
Coombes, S. (2005). Waves, bumps, and patterns in neural field theories. Biological Cybernetics., 93, 91–108.
Article CAS PubMed Google Scholar
Coombes, S., & Owen, M. R. (2005). Bumps, breathers, and waves in a neural network with spike frequency adaptation. Physical Review Letters., 94(14), 148102.
Article CAS PubMed Google Scholar
Cooray, G. K., Rosch, R. E., & Friston, K. J. (2023). Global dynamics of neural mass models. PLOS Computational Biology., 19(2), e1010915.
Article CAS PubMed PubMed Central Google Scholar
Cooray, G. K., Rosch, R. E., & Friston, K. J. (2024). Modelling cortical network dynamics. Discover Applied Sciences., 6(2), 36.
Article PubMed Central Google Scholar
Dalva, M. B., Weliky, M., & Katz, L. C. (1997). Relationships between local synaptic connections and orientation domains in primary visual cortex. Neuron, 19(4), 871–880.
Article CAS PubMed Google Scholar
Deco, G., Jirsa, V. K., Robinson, P. A., Breakspear, M., & Friston, K. (2008). The dynamic brain: From spiking neurons to neural masses and cortical fields. PLoS Computational Biology., 4(8), e1000092.
Article PubMed PubMed Central Google Scholar
Destexhe, A. (1998). Spike-and-wave oscillations based on the properties of GABAB receptors. Journal of Neuroscience., 18(21), 9099–9111.
Article CAS PubMed Google Scholar
Domich, L., Oakson, G., & Steriade, M. (1986). Thalamic burst patterns in the naturally sleeping cat: A comparison between cortically projecting and reticularis neurones. The Journal of Physiology., 379(1), 429–449.
Article CAS PubMed PubMed Central Google Scholar
Ermentrout, G. B., & Cowan, J. D. (1979). A mathematical theory of visual hallucination patterns. Biological Cybernetics., 34(3), 137–150.
Article CAS PubMed Google Scholar
Esnaola-Acebes, J. M., Roxin, A., Avitabile, D., & Montbrió, E. (2017). Synchrony-induced modes of oscillation of a neural field model. Physical Review e., 96(5), 052407.
Evertz, R., Hicks, D. G., & Liley, D. T. (2022). Alpha blocking and 1/fβ spectral scaling in resting EEG can be accounted for by a sum of damped alpha band oscillatory processes. PLoS Computational Biology., 18(4), e1010012.
Article CAS PubMed PubMed Central Google Scholar
Freeman, W. J. (1972). Waves, pulses, and the theory of neural masses. Progress in Theoretical Biology., 2(1), 1.
Freeman, W. J. (1979). Nonlinear gain mediating cortical stimulus-response relations. Biological Cybernetics., 33(4), 237–247.
Article CAS PubMed Google Scholar
Friston K. (2019). A free energy principle for a particular physics. arXiv preprint arXiv:1906.10184.
Friston, K., Breakspear, M., & Deco, G. (2012). Perception and self-organized instability. Frontiers in Computational Neuroscience., 6(6), 44.
PubMed PubMed Central Google Scholar
Friston, K., Heins, C., Ueltzhöffer, K., Da Costa, L., & Parr, T. (2021). Stochastic chaos and Markov blankets. Entropy, 23(9), 1220.
Article PubMed PubMed Central Google Scholar
Goldstein, H., Poole, C. P., & Safko, J. L. (2001). Classical mechanics (3rd ed.). Addison-Wesley.
Hall, D., & Kuhlmann, L. (2013). Mechanisms of seizure propagation in 2-dimensional centre-surround recurrent networks. PLoS ONE, 8(8), e71369.
Article CAS PubMed PubMed Central Google Scholar
Hodgkin, A. L., & Huxley, A. F. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of Physiology., 117(4), 500.
Article CAS PubMed PubMed Central Google Scholar
Hubel, D. H., & Wiesel, T. N. (1968). Receptive fields and functional architecture of monkey striate cortex. The Journal of Physiology., 195(1), 215–243.
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