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Diabetes is among the diseases with great impact on health and society, not only for its high prevalence but also for its chronic complications and high mortality, so the developing of diagnostic methods of this disease has high importance for medicine. For this purpose in the present work we study the spectral features of blood plasma using terahertz time-domain spectroscopy (THz-TDS) in case of healthy rats and rats with alloxan diabetes. Diabetes is characterized by high levels of blood glucose, blood lipid profile changes and elevated corticosteroid hormones, so we consider that biochemical disturbances in diabetes can contribute to the absorption and refraction spectra in terahertz frequency range. We found that the amplitude of the blood plasma absorption and refraction spectra of the rats with diabetes reliably differs from those of the healthy rats and depends on diabetes severity. This difference of the spectra is most noticeable in the range 0.2-1.6 THz.