پیوندها
اخبار و اعلانات
آمار
| تعداد نشریات | 49 |
| تعداد شماره‌ها | 1,778 |
| تعداد مقالات | 18,930 |
| تعداد مشاهده مقاله | 7,814,429 |
| تعداد دریافت فایل اصل مقاله | 5,125,250 |
Stability and Hopf bifurcation in leech heart interneuron model | ||
| Iranian Journal of Numerical Analysis and Optimization | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 29 تیر 1401 اصل مقاله (3.83 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22067/ijnao.2022.75087.1101 | ||
| نویسندگان | ||
| Fatemeh Parvizi* 1؛ Mohammad Reza Razvan2؛ Yousef Alipour Fakhri1 | ||
| 1Department of Mathematics, Payame Noor University(PNU), P. O. Box 19395-4697, Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences, University of Sharif, Tehran, Iran. | ||
| چکیده | ||
| This article investigates the activity regimes of a realistic neuron model (as a slow-fast system). The authors study this model using the dynamical systems theory e.g., qualitative theory methods of slow-fast systems. The authors obtain the stability conditions of equilibria in leech heart interneurons under defined pharmacological conditions and following Hodgkin-Huxley formalism. Although in neuronal models, the membrane is usually considered capacitance as a fixed parameter, the membrane capacitance parameter is assumed as a control parameter to guarantee the existence of Hopf bifurcation using the Routh-Hurwitz criteria. The authors investigate transition mechanism between the silent phase and tonic spiking mode. Furthermore, some simulations are provided using XPPAUT software for analytical results. | ||
| کلیدواژه‌ها | ||
| Stability؛ Hopf bifurcation؛ Routh-Hurwitz criteria | ||
|
آمار تعداد مشاهده مقاله: 144 تعداد دریافت فایل اصل مقاله: 35 |
||