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نتیجه جستجو - Phase-space

تعداد مقالات یافته شده: 1
ردیف عنوان نوع
1 One dimensional map-based neuron model: A phase space interpretation
مدل نورونی مبتنی بر نقشه یک بعدی: تفسیر فضای فاز-2020
Computational models play an essential role in studying and predicting the behavior of a bio-system. Dis- crete dynamical models, usually known as maps, are important, especially when it comes to the mathe- matical study of the behavior of the neurons and neural network. Map-based neural models are simple, yet powerful and computationally efficient tools to study complex dynamical systems. In this paper, a one-dimensional map-based neuron model is proposed for which various dynamical behaviors are inves- tigated using phase-space interpretation. In order to reproduce the behaviors observed in the real neu- rons such as action potential (AP), spike, burst, chaotic burst and, myocardial AP, different multi-criteria functions are formulated. In our proposed model, all the mentioned dynamical behaviors can be obtained only by changing the respective parameter. Therefore, though being simple, in terms of both analytical solutions and numerical calculations, our model is perfectly capable of demonstrating complex behaviors. In this study, the response of the model to various stimuli (excitation current) is explored. The time se- ries analysis, phase-space and cobweb plot are provided as well for each multi-criteria function. Also, the bifurcation analysis with respect to different parameters of the model is carried out.
Keywords: Map-based model | Neuron model | Spike | Burst | Chaotic Burst | Phase-space
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