Hemorheological models applied to data analysis in groups of healthy individuals and in patients with type 2 diabetes mellitus

  • 1 Dept. of Biomechanics, Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, Bulgaria


The study aims to analyze the experimental haemorheological data with mathematical models and to analyze the interrelationship between the rheological parameters of the blood and blood rheology determinants. The study aims to develop this experimental basis of prognostic mathematical and hemorheological models for the interrelationship between the set of parameters. Two known models are used to describe the non-Newtonian rheological properties of blood – the shear stresses – shear rate dependences. The parameters of the simplest models – the power law and the Herschel-Bulkley law were used to analyse the differences between the hemorheological characteristics of blood from healthy individuals and a group of patients with diabetes mellitus type 2 (T2DM). The experimental data are statistically processed using the Mann-Whitney U-test for intergroup comparison of independent variables, as well as t-test. The Statistica program was used for statistical processing.



  1. N. Antonova, Biotechnology & Biotechnological Equipment, 26, 5, 3286-3291 (2012), DOI: 10.5504/BBEQ.2012.0069
  2. H. Hristov, N. Antonova, Biomechanics, 15-16, 104-115 (1984). (In Bulgarian)
  3. V.A. Levtov, S.A. Regirer, N.H. Shadrina N.H., Blood Rheology [Rheologija krovi], (Medicina, Moscow, 1982). (In Russian).
  4. J.-F. Stoltz, M. Singh, P. Riha, Hemorheology in Practice (IOS Press, Amsterdam, 1999)
  5. A. Marcinkowska-Gapi´nska, P. Kowal, Clin. Hemorheology and Microcirculation, 41, 27-33(2009), DOI 10.3233/CH-2009- 1151
  6. V. Kostova, N. Antonova, I. Velcheva, I. Ivanov, Series on Biomechanics, 27, No. 3-4, 80-85, (2012)
  7. N. Momtselidze, M. Mantskava, G. Mchedlishvili, Clin. Hemorheology and Microcirculation 35(1/2), 261–264, (2006).
  8. N. Antonova, K. Tsiberkin, S. Podtaev, V. Paskova, I.Velcheva, N. Chaushev, Clin. Hemorheology and Microcirculation, 64, 4, 837- 844, (2016) DOI:0.3233/CH-168000.
  9. Hung-Yu Chang, Xuejin Li, George Em Karniadaki, Biophysical Journal 113, 481–490, July 25, 2017
  10. Y.X. Deng, H.Y, Chang, H. Li. Biomimetics (Basel). 13,7(1),15. doi: 10.3390/biomimetics7010015. PMID: 35076493; PMCID: PMC8788472.(2022)

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