neuron

Mathematical model of electrical activity of the biological network areas

In the paper, the mathematical model describing the generation of action potential and propagation of an impulse in the neuron's filaments on the basis of the analysis of parametric electriс circuits with distributed parameters and the mathematical model of synaptic interneuron connections are proposed.

Representation of Reality: Neuroscience and Patricia Churchland's Conception

In this article, the author considers the relation of a neurophilosophy and neuroscience. Neurophilosophy suggests a new interpretation of consciousness and representation of reality. Patricia Churchland, the founder of Neurophilosophy, says that representation of reality is the main philosophical and scientific problem. She criticizes “folk intuition” about the mind or consciousness. The hypothesis of neurophilosophy is an explanation of consciousness as a level of brain activity. Neurophilosophy uses neuroscience for interpretation of representation of reality.

Volterra series for Hodgkin-Huxley and Fitzhugh-Nagumo neuron models

The peculiarity of Volterra series use as to comparison with classical models of nonlinear dynamical systems in the form of nonlinear differential equations is that Volterra series directly evaluates output signal of the system by multidimensional convolution of input signal. Kernels of Volterra series can be considered as generalization of impulse response of linear systems to nonlinear ones. The choice of certain components of Volterra series enables to take into account nonlinear peculiarities of different orders.