Abstract: With the different methods of fluorescence correlation spectroscopy, physical and biological transport processes in or between cells in the microscopic range, for example diffusion processes, can be analyzed. For this purpose, correlations of the fluorescence measurement data are determined for different sample regions and mathematical transport models are adapted thereto. Erroneous fluorescence correlation analyses were previously identified on the basis of the properties of the adapted model function parameters and were discarded. The a-priori knowledge necessary for the identification had to be obtained in time-consuming series of tests. With the invention, sample properties can be determined in a simpler, quicker and more exact way from fluorescence correlations.

Abstract: The invention is directed to a method and an arrangement for displaying residual errors of a function which is fitted to a set of points. In the prior art, the residual errors are displayed in a separate graph apart from the function graph so that it is difficult for an observer to discern the quality of the fit of the function to the data points. An improved method and an improved arrangement make it possible to visually assess the quality of the fit in a simple, accurate manner. According to the invention, visual codes are assigned to the fitted function or to the data points of the point set piecewise or pointwise depending on the residual errors, and the fitted function is displayed graphically at an interface, wherein the fitted function is displayed piecewise or pointwise in the form of the assigned visual codes. The invention is preferably used for raster image spectroscopy with laser scanning microscopes.

Abstract: By means of an improved configuration method, mathematical transport models can be fitted to correlations determined by means of scanning fluorescence spectroscopy with few errors. With improved methods for carrying out or evaluating a raster image correlation spectroscopy measurement (RICS) measurement, the amount of data to be stored can be reduced and RICS correlations of high statistical quality can be determined within a short period of time. For a raster image correlation spectroscopy measurement, a best value for a sampling value is determined and is specified for a subsequent scanning process on a sample. In order to carry out or evaluate a RICS measurement, sampling values are acquired or a correlation is determined exclusively in a sample region within which a pixel time (?P) changes along a harmonically controlled scan axis (X) by less than, or at most by, a predetermined or predeterminable value.

Abstract: With the different methods of fluorescence correlation spectroscopy, physical and biological transport processes in or between cells in the microscopic range, for example diffusion processes, can be analyzed. For this purpose, correlations of the fluorescence measurement data are determined for different sample regions and mathematical transport models are adapted thereto. Erroneous fluorescence correlation analyses were previously identified on the basis of the properties of the adapted model function parameters and were discarded. The a-priori knowledge necessary for the identification had to be obtained in time-consuming series of tests. With the invention, sample properties can be determined in a simpler, quicker and more exact way from fluorescence correlations.

Abstract: 1.1. Method for the configuration a laser scanning microscope for a raster image correlation spectroscopy measurement and method for carrying out and evaluating a measurement of this kind. 2.1. Manual setting of the scan parameters for a raster image correlation spectroscopy measurement (RICS) is complicated because the effects of setting a certain parameter are not apparent due to the complex interaction between the various parameters and also depend on the physical-technical properties of the microscope. By means of an improved configuration method, mathematical transport models can be fitted to correlations determined by means of scanning fluorescence spectroscopy with few errors. With improved methods for carrying out or evaluating a RICS measurement, the amount of data to be stored can be reduced and RICS correlations of high statistical quality can be determined within a short period of time. 2.2.

Abstract: The invention is directed to a method and an arrangement for displaying residual errors of a function which is fitted to a set of points. In the prior art, the residual errors are displayed in a separate graph apart from the function graph so that it is difficult for an observer to discern the quality of the fit of the function to the data points. An improved method and an improved arrangement make it possible to visually assess the quality of the fit in a simple, accurate manner. According to the invention, visual codes are assigned to the fitted function or to the data points of the point set piecewise or pointwise depending on the residual errors, and the fitted function is displayed graphically at an interface, wherein the fitted function is displayed piecewise or pointwise in the form of the assigned visual codes. The invention is preferably used for raster image spectroscopy with laser scanning microscopes.