title: Influence of autapse on mode-locking structure of a Hodgkin-Huxley neuron under sinusoidal stimulus.
abstract: We investigated the mode-locking behaviors of a Hodgkin-Huxley neuron with an autapse under sinusoidal stimulus. A neuron without an autapse can exhibit rich p:q mode-locking (i.e. p output action potentials generated by q cycles stimulations) behaviors with periodic stimuli. In the presence of the autaptic connection, the p:q mode-locking behaviors are completely reset. The autapse extends the scope of mode-locking. The autapse can enhance or suppress the status of mode-locking. Even for some specified autaptic parameters, the neuron could be driven into the sub-threshold oscillation. Our results suggested that the autapse can serve as a potential control option for adjusting the mode-locking firing behaviors. We also found that changing the delay time is much more effectively operable to regulate the response behavior than the autaptic intensity.
authors.affiliation: Center of Soft Matter Physics and its Applications, Beihang University, Beijing 100191, China; School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China; Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China.
authors.forename: Hengtong
authors.initials: H
authors.lastname: Wang
authors.affiliation: Center of Soft Matter Physics and its Applications, Beihang University, Beijing 100191, China; School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China; Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China.
authors.forename: Yongjuan
authors.initials: Y
authors.lastname: Sun
authors.affiliation: Key Laboratory of Digestive System Tumors, Lanzhou University, Lanzhou 730000, China.
authors.forename: Yichen
authors.initials: Y
authors.lastname: Li
authors.affiliation: Center of Soft Matter Physics and its Applications, Beihang University, Beijing 100191, China; School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China. Electronic address: ychen@buaa.edu.cn.
authors.forename: Yong
authors.initials: Y
authors.lastname: Chen
mesh_terms: D008564:Membrane Potentials; D008962:Models, Theoretical; D009474:Neurons / Q000502:physiology*
keywords: Delay time; Firing pattern; Self-delay feedback; Single neuron