Closed-form Formulae vs. PDE Based Numerical Solution for FRAP Data Processing: Theoretical and Practical Comparison

Abstrakt

We rigorously formulate the inverse problem of model parameter estimation (including the sensitivity analysis) making possible the comparison of different FRAP data processing methods. Then, in a case study with simulated datasets, we focus on how different methods for data (pre)processing influence the error in parameter estimation. We explain why our new method based on a general initial-boundary value problem formulation for the Fick diffusion PDE should exhibit less bias and narrower confidence intervals of the estimated model parameters, than other state-of-the-art methods.