To understand the working of our biological brain, we primarily focus on three key areas
which are computational neuroscience, cognitive science, and artificial intelligence …

This book provides a complete study on neural structures exhibiting nonlinear and
stochastic dynamics. The book elaborates on neural dynamics by introducing advanced …

Computational neuroscience and neuronal communication have been amongst the most
sought after fields in the recent times. The integration of computational neuroscience and …

Neural electrical activities are due to the movement of ions in/out of the neuron and can be
modulated by an external electric field. Moreover, clinical evidences reveal that the …

Hodgkin-Huxley model of the squid giant axon is a very important contribution to the field of
theoretical neuroscience (Hodgkin & Huxley, 1952; Abbott, 2008). It is a highly nonlinear …

The Hodgkin-Huxley nonlinear model (Hodgkin et al., 1952) which describes the electrical
excitations of the squid giant axon is one of the greatest challenges in the electrophysiology …

In this paper we deal with a feedback control design for the action potential of a neuronal
membrane in relation with the non-linear dynamics of the Hodgkin-Huxley mathematical …

Many neural diseases have close relations with abnormal repetitive firing of neuron system.
So, it is very important to study inhibition of abnormal repetitive firing of neurons. In this …

The voltage of the neurons membrane exhibits oscillatory variations after receiving suitable
external excitation either when the neuron is independent from neighboring neural cells or …

The chapter proposes a systematic method for fixed point bifurcation analysis in circadian
cells and similar biological models using interval polynomials theory. The stages for …