Diffusion Processes with Hidden States from ... - FU Berlin, FB MI

5.1 Experimental Data(a)(b)(c)(d)Figure 5.2: Several single transducin trajectories in one plot. X ,Y denote the two spatial coordinates.(a), (b), (c) and (d) are denoting areas, that are shown bigger in Figure 5.3.Range: 600 × 500µm.The range of the single trajectories, as plotted in the figures is approx. 1.5 × 1.5µm, and thecomplete area in which the trajectories are distributed has a dimension of 600 × 500µm.The fact that the whole data set is consisting of 5721 data points solely can become problematicduring the parameter estimation process, as it is obviously difficult to obtain statistically relevantresults for these few data points. This is confirmed by our estimation tests on artificial exampletrajectories. There we observed that the estimation procedure was much more stable, when we hadsufficient data points, some 10000 and up to 100000 data points (see section 3.12 on page 46).Nevertheless we will try to set up a model and will accomplish the estimation procedure on thisdata in the next section and discuss the results.75