doi : 10.25007/ajnu.v8n3a360 10 Academic Journal of Nawroz University (AJNU) Academic Journal of Nawroz University (AJNU) Volume 8, No 3 (2019). Regular research paper : Published 11 June 2019 Corresponding author’s e-mail : renas_rekany@yahoo.com Copyright ©2018 Renas Rajab Asaad. This is an open access article distributed under the Creative Commons Attribution License. Güler and Linaro et al Model in an Investigation of the Neuronal Dynamics using noise Comparative Study Renas Rajab Asaad Department of Computer Science, Nawroz University, Duhok, Kurdistan Region – Iraq ABSTRACT Recently, theoretical arguments, numerical simulation and experiments shown that ion channel noise in neurons can have deep impact on the behavior of the neuron's dynamical when there is a limited size for the membrane space. It can be create different models of Linaro al equations by using stochastic differential equations to find the impacts of ion channel noise, and it has been analytically put forward the Güler model. More recently, Güler has discussed that in small neurons the rate functions for the closing and opening of gates are under the effect of the noise. In this research, the investigation of dynamics neurons are determined with noise rate functions. The exact Markov simulations will be employ during the investigation with above analytical models. Comparatively, the results will be presented from these models. The research aims to show more details on the phenomenon recently outlined by Güler. Keywords: Guler Model, Linaro et al Model, Neural Network, Neuron Science. 1. Introduction The influence of noise to the neurons generates an abnormal prototype on the neuronal dynamics. The noise is in two categories; internal or external [3]. External noise is the contradictory of internal. External noise is generated from the synaptic signal transmission. The main source of internal noise in a neuronal membrane stain is from the finite number of voltage-gates ion’s channels. Commonly; these channels has two cases; open or close. When the case being consider open, the channels’ fluctuations number are randomly present [5]. Neurons show electrical activity which is identified to be stochastic in distribution [3]. The main source of stochasticity in vivo is the external noise from the synapses. Nevertheless, the essential noise, characterized to the potential attribute of an ion channel shift, may has important inclusion on the dynamic. The dynamic activities of neurons has been expressed by both experimental studies [5,8,9]. Default spiking is an incident happen by the internal noise from ion channels. There is a theoretic investigations or arithmetic simulations of channel dynamics (in the case of recurrence spiking and bursting), or else noiseless membrane spots [9]; Moreover, these investigations also have unhidden occurrence of stochastic echo and the coherence of the created spike trains [4,6,8]. When the number of ion channels is big means the membrane size is big too, the voltage dynamics will reduce as in the prime Linaro et al [11]. It's called dissipative stochastic mechanics (it's shortcut of DSM) had been put up by Guler, renormalization improvements expand the activity of transformations from low to higher spiking (Jibril and Güler 2009). Also, DSM model in the case of variable time input streams. 2. Structures of Neurons The neuron is the main structure of nervous tissue. It is a very specialized cell that varies in size, length and shape. It may range from a few millimeters to a few meters, like in a whale. It is found in parts of the main nervous system (brain, spinal cord) In the human body while its axes are scattered in the different parts of the body and are characterized by transport and transport are carried in one direction from the neurotic to the body of the cell and the body of the cell to the axis nerve. The neuron is not manipulated because humans generate a tumor in all its nerve cells, stop dividing before or when they are formed, and thus enter the numbers of permanent cells that do not divide. If nerve cells are damaged, we create a new neuronal cell to