PMID- 29568262 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20240314 IS - 1662-5102 (Print) IS - 1662-5102 (Electronic) IS - 1662-5102 (Linking) VI - 12 DP - 2018 TI - Dynamical Mechanism of Hyperpolarization-Activated Non-specific Cation Current Induced Resonance and Spike-Timing Precision in a Neuronal Model. PG - 62 LID - 10.3389/fncel.2018.00062 [doi] LID - 62 AB - Hyperpolarization-activated cyclic nucleotide-gated cation current (I(h) ) plays important roles in the achievement of many physiological/pathological functions in the nervous system by modulating the electrophysiological activities, such as the rebound (spike) to hyperpolarization stimulations, subthreshold membrane resonance to sinusoidal currents, and spike-timing precision to stochastic factors. In the present paper, with increasing g(h) (conductance of I(h) ), the rebound (spike) and subthreshold resonance appear and become stronger, and the variability of the interspike intervals (ISIs) becomes lower, i.e., the enhancement of spike-timing precision, which are simulated in a conductance-based theoretical model and well explained by the nonlinear concept of bifurcation. With increasing g(h) , the stable node to stable focus, to coexistence behavior, and to firing via the codimension-1 bifurcations (Hopf bifurcation, saddle-node bifurcation, saddle-node bifurcations on an invariant circle, and saddle homoclinic orbit) and codimension-2 bifurcations such as Bogdanov-Takens (BT) point related to the transition between saddle-node and Hopf bifurcations, are acquired with 1- and 2-parameter bifurcation analysis. The decrease of variability of ISIs with increasing g(h) is induced by the fast decrease of the standard deviation of ISIs, which is related to the increase of the capacity of resisting noisy disturbance due to the firing becomes far away from the bifurcation point. The enhancement of the rebound (spike) with increasing g(h) builds up a relationship to the decrease of the capacity of resisting disturbance like the hyperpolarization stimulus as the resting state approaches the bifurcation point. The "typical"-resonance and non-resonance appear in the parameter region of the stable focus and node far away from the bifurcation points, respectively. The complex or "strange" dynamics, such as the "weak"-resonance for the stable node near the transition point between the stable node and focus and the non-resonance for the stable focus close to the codimension-1 and -2 bifurcation points, are discussed. FAU - Zhao, Zhiguo AU - Zhao Z AD - School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China. AD - School of Basic Science, Henan Institute of Technology, Xinxiang, China. FAU - Li, Li AU - Li L AD - School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China. FAU - Gu, Huaguang AU - Gu H AD - School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China. LA - eng PT - Journal Article DEP - 20180308 PL - Switzerland TA - Front Cell Neurosci JT - Frontiers in cellular neuroscience JID - 101477935 PMC - PMC5852126 OTO - NOTNLM OT - bifurcations OT - hyperpolarization-activated current OT - post-inhibitory rebound OT - spike-timing precision OT - subthreshold resonance OT - temporal coding EDAT- 2018/03/24 06:00 MHDA- 2018/03/24 06:01 PMCR- 2018/01/01 CRDT- 2018/03/24 06:00 PHST- 2017/10/27 00:00 [received] PHST- 2018/02/20 00:00 [accepted] PHST- 2018/03/24 06:00 [entrez] PHST- 2018/03/24 06:00 [pubmed] PHST- 2018/03/24 06:01 [medline] PHST- 2018/01/01 00:00 [pmc-release] AID - 10.3389/fncel.2018.00062 [doi] PST - epublish SO - Front Cell Neurosci. 2018 Mar 8;12:62. doi: 10.3389/fncel.2018.00062. eCollection 2018.