A simple experiment in the field of electrochemistry involves controlling the applied potential in an electrochemical cell. This causes electron transfer to take place at the electrode surface and in turn this causes a current to flow. The current depends on parameters in the system and the inverse problem requires us to estimate these parameters given an experimental trace of the current. We briefly describe recent work in this area from simple least squares approximation of the parameters, through bootstrapping to estimate the distributions of the parameters, to MCMC methods which allow us to see correlations between parameters.
- Numerical Analysis Group Internal Seminar