An inverse problem for estimating the time-dependent reaction coefficient in an autocatalytic reaction pathway

An inverse algorithm based on the Iterative Regularization Method (IRM) is applied in this study in determining the unknown time-dependent reaction coefficient for an autocatalytic reaction pathway by using measurements of concentration components. Since no prior information is available on the functional form of the unknown reaction coefficient, thus it can be classified as function estimation for the inverse calculations. The accuracy of this inverse problem is examined by using the simulated exact and inexact concentration measurements in the numerical experiments. Results show that the estimation of the time-dependent reaction coefficient can be obtained within a very short CPU time on a Pentium IV 1.4 GHz personal computer.