Critical amplitude curves for different periodic stimuli and different dynamical mechanisms of excitability

✍ Scribed by Yong Xie; Jian-Xue Xu; Yan-Mei Kang; San-Jue Hu; Yu-Bin Duan

• Book ID: 104011993
• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 529 KB
• Volume: 10
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2004.04.005

✦ Synopsis

Critical amplitude curves for different periodic stimuli and different dynamical mechanisms of excitability are investigated numerically in the Morris-Lecar model neuron. It has been considered as a universal phenomenon that critical amplitude curves exhibit U-shaped structures in the previous investigations. Nevertheless, we find that the critical amplitude relies on not only the type of a periodic stimulus but also the dynamical mechanism of excitability of a neuron. The dynamical mechanism of excitability determines whether a neuron is a resonator or integrator. There is a U-shaped structure in the critical amplitude curve for a resonator subjected to a sinusoidal stimulus or a periodic pulse stimulus. However, in high frequency range the critical amplitude increases monotonically with the stimulus frequency for a sinusoidal stimulus and decreases monotonically for a periodic pulse stimulus. In contrast, for an integrator, the critical amplitude versus the stimulus frequency is always a monotonic curve. The change in the critical amplitude curve is shown through the Morris-Lecar model.