  The Hodgkin and Huxley (H-H) model is a nonlinear system of four equations
that describes how action potentials in neurons are initiated and propagated,
and represents a major advance in the understanding of nerve cells. However,
some of the parameters are obtained through a tedious combination of
experiments and data tuning. In this paper, we propose the use of an iterative
method (Landweber iteration) to estimate some of the parameters in the H-H
model, given the membrane electric potential. We provide numerical results
showing that the method is able to capture the correct parameters using the
measured voltage as data, even in the presence of noise.
