11 Coupling Functions in Neuroscience
189
74. A. Stefanovska, Coupled oscillators: complex but not complicated cardiovascular and brain
interactions. IEEE Eng. Med. Bio. Magazine 26(6), 25–29 (2007)
75. S. Strogatz, Nonlinear Dynamics and Chaos (Westview Press, Boulder, 2001)
76. H. Su, C. Huo, B. Wang, W. Li, G. Xu, Q. Liu, Z. Li, Alterations in the coupling functions
between cerebral oxyhaemoglobin and arterial blood pressure signals in post-stroke subjects.
PloS One 13(4), e0195936 (2018)
77. K. Suzuki, T. Aoyagi, K. Kitano, Bayesian estimation of phase dynamics based on partially
sampled spikes generated by realistic model neurons. Front. Comput. Neurosci. 11, 116 (2018)
78. C.N. Takembo, A. Mvogo, H.P.E. Fouda, T.C. Kofané, Effect of electromagnetic radiation on
the dynamics of spatiotemporal patterns in memristor-based neuronal network. Nonlin. Dyn.
1–12 (2018)
79. V. Ticcinelli, T. Stankovski, D. Iatsenko, A. Bernjak, A. Bradbury, A. Gallagher, P.B.M. Clarkson, P.V.E. McClintock, A. Stefanovska, Coherence and coupling functions reveal microvascular impairment in treated hypertension. Front. Physiol. 8, 749 (2017)
80. I.T. Tokuda, S. Jain, I.Z. Kiss, J.L. Hudson, Inferring phase equations from multivariate time
series. Phys. Rev. Lett. 99, 064101 (2007)
81. G. Uribarri, G.B. Mindlin, Resonant features in a forced population of excitatory neurons.
arXiv:1902.06008 (2019)
82. B. Voytek, R.T. Canolty, A. Shestyuk, N.E. Crone, J. Parvizi, R.T. Knight, Shifts in gamma
phase–amplitude coupling frequency from theta to alpha over posterior cortex during visual
tasks. Front. Hum. Neurosci. 4, Art. No. 191 (2010)
83. S. Watanabe, S.H. Strogatz, Integrability of a globally coupled oscillator array. Phys. Rev. Lett.
70(16), 2391 (1993)
84. A.T. Winfree, Biological rhythms and the behavior of populations of coupled oscillators. J.
Theor. Biol. 16(1), 15 (1967)
85. B. Yegnanarayana, Artificial neural networks (PHI Learning Pvt, Ltd, 2009)
86. A. Yeldesbay, G.R. Fink, S. Daun, Reconstruction of effective connectivity in the case of
asymmetric phase distributions. J. Neurosci. Methods 317, 94–107 (2019)
189
74. A. Stefanovska, Coupled oscillators: complex but not complicated cardiovascular and brain
interactions. IEEE Eng. Med. Bio. Magazine 26(6), 25–29 (2007)
75. S. Strogatz, Nonlinear Dynamics and Chaos (Westview Press, Boulder, 2001)
76. H. Su, C. Huo, B. Wang, W. Li, G. Xu, Q. Liu, Z. Li, Alterations in the coupling functions
between cerebral oxyhaemoglobin and arterial blood pressure signals in post-stroke subjects.
PloS One 13(4), e0195936 (2018)
77. K. Suzuki, T. Aoyagi, K. Kitano, Bayesian estimation of phase dynamics based on partially
sampled spikes generated by realistic model neurons. Front. Comput. Neurosci. 11, 116 (2018)
78. C.N. Takembo, A. Mvogo, H.P.E. Fouda, T.C. Kofané, Effect of electromagnetic radiation on
the dynamics of spatiotemporal patterns in memristor-based neuronal network. Nonlin. Dyn.
1–12 (2018)
79. V. Ticcinelli, T. Stankovski, D. Iatsenko, A. Bernjak, A. Bradbury, A. Gallagher, P.B.M. Clarkson, P.V.E. McClintock, A. Stefanovska, Coherence and coupling functions reveal microvascular impairment in treated hypertension. Front. Physiol. 8, 749 (2017)
80. I.T. Tokuda, S. Jain, I.Z. Kiss, J.L. Hudson, Inferring phase equations from multivariate time
series. Phys. Rev. Lett. 99, 064101 (2007)
81. G. Uribarri, G.B. Mindlin, Resonant features in a forced population of excitatory neurons.
arXiv:1902.06008 (2019)
82. B. Voytek, R.T. Canolty, A. Shestyuk, N.E. Crone, J. Parvizi, R.T. Knight, Shifts in gamma
phase–amplitude coupling frequency from theta to alpha over posterior cortex during visual
tasks. Front. Hum. Neurosci. 4, Art. No. 191 (2010)
83. S. Watanabe, S.H. Strogatz, Integrability of a globally coupled oscillator array. Phys. Rev. Lett.
70(16), 2391 (1993)
84. A.T. Winfree, Biological rhythms and the behavior of populations of coupled oscillators. J.
Theor. Biol. 16(1), 15 (1967)
85. B. Yegnanarayana, Artificial neural networks (PHI Learning Pvt, Ltd, 2009)
86. A. Yeldesbay, G.R. Fink, S. Daun, Reconstruction of effective connectivity in the case of
asymmetric phase distributions. J. Neurosci. Methods 317, 94–107 (2019)