Simplified information neural cell model and its basic properties

The information model of a biological neural cell includes three basic characteristics of the cell which directly determine the way of information processing in its body. These characteristics are: the synaptic connections, the cell membrane and the reaction of the cell soma depending on the summary input signal. The suggested model is mathematically described and some of its basic properties are analyzed, one of which is the definition of a projecting space with the same dimension as the dimension of the initial space of the input vectors. Based on this model a neural structure (NS) is suggested and analyzed, which can indirectly represent the input vector space of NS in the projecting space which is called in this paper - multidimensional Hough space.