Dynamics of Hodgkin and Huxley model with conductance based synaptic input

The original Hodgkin and Huxley equations are landmark equations explaining the generation of action potential in a biological neuron. Moreover, many studies have been done on the Hodgkin and Huxley model with constant injected current. Here we present an Extended Hodgkin and Huxley model with conductance based excitatory and inhibitory synaptic inputs. It is asserted that the Hodgkin and Huxley model remains robust with the all kinds of synaptic inputs. Moreover, this model is more tractable to a biological neuron.