An Investigation into the Dissipative Stochastic Mechanics Based Neuron Model under Noisy Input Currents

ABSTRACT: Guided by the existence of a multiple number of gates in each ion channel, it was recently expected that the activity equations of the neuronal dynamics obtain a number of renormalization terms, which play important role in the membranes that are small in size (Güler 2006, 2007, 2008, 2011, 2013). In this thesis, it is attempted to look into the dissipative stochastic mechanics based neuron model under noisy input currents. Specifically, it is concentrated on the role of input noise with reference to the renormalization terms in the model. The investigation shows that the use of noise in the inputs can improve the spiking rates and the spike coherence values, especially in the presence of the renormalization terms. Keywords: Ion Channel Noise, Stochastic Ion Channels, Neuronal Dynamic, Hindmarsh-Rose Model, Dissipative Stochastic Mechanism Model. ……………………………………………………………………………………………………………………………………………………………………………………………………………………