On Data Space Selection and Data Processing for Parameter Identification in a Reaction-Diffusion Model Based on FRAP Experiments

Figure 2

Examples of data reduction. Gray color indicates the data space, where the relevant data are taken. White color represents the data regions of irrelevant data points. (a) Relevant data region using (27) with . (b) Relevant data region using (30) with . (c) Boxplot of the distribution of the squared error based on 1000 noisy signal samples using full and reduced data; cross marks (+) indicates the outliers. The data were simulated using (8), with an exact diffusion coefficient , bleach radius , and additive white Gaussian noise with standard deviation .

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