We report on the results of a collaborative effort made in the field of optical diagnostics of whole blood samples to study the ability of red blood cells to aggregate in a Couette chamber. We studied a possibility to quantitatively measure this ability as a function of the physiological state of blood donors. The aggregometer designed by the Russian coauthors of this paper and described in their earlier publications (see e.g. Proc SPIE 1884, 2100, 2678, 2982) was extensively used in the experiments performed in the Rheumatology Institute in Moscow and in the Charite Clinic in Berlin. The following parameters were measured: two characteristic times of RBC aggregation and the average spontaneous aggregation rate in the state of stasis, the average hydrodynamic strength of all aggregates and that of the largest aggregates. Different algorithms of the remission signal processing for the quantitative evaluation of the above parameters were compared. Reproducible alterations of the parameters from their normal values were obtained for blood samples from individuals suffering auto-immune disease and diabetes. Statistical data is reported proving high efficiency of the technique for the diagnostics of rheological disorders. Basing on these data the quantitative criteria of the heaviness of hemorheological state of the patients are proposed that are important for choosing specific therapies for which the patient is minimally resistant.