A simple chaotic neuron model: stochastic behavior of neural networks.
We have briefly reviewed the occurrence of the post-synaptic potentials between neurons, the relationship between EEG and neuron dynamics, as well as methods of signal analysis. We propose a simple stochastic model representing electrical activity of neuronal systems. The model is constructed using the Monte Carlo simulation technique. The results yielded EEG-like signals with their phase portraits in three-dimensional space. The Lyapunov exponent was positive, indicating chaotic behavior. The correlation of the EEG-like signals was.92, smaller than those reported by others. It was concluded that this neuron model may provide valuable clues about the dynamic behavior of neural systems.
Department of Physics, Faculty of Arts and Sciences, University of Cukurova, Adana, Turkey. ekol@cu.edu.tr
Ekrem
E
Aydiner
Adil M
AM
Vural
Bekir
B
Ozcelik
Kerim
K
Kiymac
Uner
U
Tan
D004569:Electroencephalography; D006801:Humans; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D013269:Stochastic Processes; D009435:Synaptic Transmission / Q000502:physiology