| Title |
Dendritinių neuronų atsitiktinių tinklų dinamikos tyrimas esant išoriniam nuo fazės nepriklausomam žadinimui |
| Translation of Title |
Analysis of the dynamics of random dendritic neuron networks under external phase-independent stimulation. |
| Authors |
Fedaravičius, Augustinas Povilas |
| Full Text |
|
| Pages |
49 |
| Keywords [eng] |
neuron model ; phase control ; random network |
| Abstract [eng] |
A dendritic neuron model exhibits bistability under continuous weak stimulation - the oscillatory synchronized regime and the quiet regime coexist. Complex nonlinear dynamics are observed when the neuron undergoes not only phase-dependent continuous weak stimulation, but also when it is driven by an external phase-independent stimulation. In the latter case basin boundaries between the synchronized and the quiet regime become complex and fractal. Simple strategies based on control pulses are not sufficient in these circumstances, because it becomes difficult to predict the dynamics of the neuron after the application of the control pulse. Therefore, a new neural control method is proposed. Initially, a weak phase control strategy is applied untilfractal basin boundaries evolve into a deterministic manifold. Consequently, a single control pulse is immediately applied and the neuron evolves into a calm state. The same strategy is successfully applied to random networks of dendritic neurons driven by phase-independent stimulation. Furthermore, it is discovered that it is sufficient to apply the control pulse to only a fraction of the neurons for the network to evolve into a calm state. Lastly, a control strategy for an Erdős-Renyi network based on discarding connections between neurons is proposed. |
| Dissertation Institution |
Kauno technologijos universitetas. |
| Type |
Master thesis |
| Language |
Lithuanian |
| Publication date |
2015 |