Mathematical modeling of the convectivediffusive mass transfer in a hemodialysis cell

Authors

  • А.F. Bulat N. Polyakov Institute of Geotechnical Mechanics of the NAS of Ukraine, Dnipro
  • V.I. Eliseev N. Polyakov Institute of Geotechnical Mechanics of the NAS of Ukraine, Dnipro
  • Yu.P. Sovit Oles Honchar Dnipro National University
  • R.N. Molchanov “Dnipropetrovsk Medical Academy of the Ministry of Health of Ukraine”, Dnipro
  • O. Blyuss Queen Mary University of London, United Kingdom

DOI:

https://doi.org/10.15407/dopovidi2019.02.040

Keywords:

diffusion, distribution of components, hemodialysis, mass transfer

Abstract

A mathematical model of a hemodialysis cell is proposed based on the theory of mass transfer and the analysis of the hemodialysis problem. Relative costs of the neutral components and their distributions in the calculated area are obtained with the hydrodynamic effect of a semipermeable membrane taken into account. The ability to regulate the costs of these components by profiling the membrane resistance is shown.

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References

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Bryik, M. T. Golubev, V. N. & Chagarovskiy, A. P. (1991). Membrane technology in the food industry. Kiev: Urozhay (in Russian).

Stetsyuk, E. A. (2001). Basics of hemodialysis. Moscow: GEOTARMED (in Russian).

Pallone, T. L., Hyver, S. & Petersen, J. (1989). The simulation of continuous arteriovenous hemodialysis with a mathematical model. Kidney Int., pp. 125-133. doi: https://doi.org/10.1038/ki.1989.17

Eloot, S. (2004). Experimental and numerical modeling of dialysis (PhD dissertation). Ghent University, Gent (in Belgium).

Kagramanov, G. G. (2009). Diffusion membrane processes: tutorial. Moscow: RHTU im. Mendeleeva (in Russian).

Aniort, J., Chupin, L. & Cîndea, N. (2018). Mathematical model of calcium exchange during hemodialysis using a citrate containing dialysate. Math. Med. Biol., 35, suppl. 1, pp. 87-120. doi: https://doi.org/10.1093/imammb/dqx013

Annan, K. (2012). Mathematical modeling for hollow fiber dialyzer: blood and HCO3− dialysate flow characteristics. Int. J. Pure Appl. Math., 79, No. 3, pp. 425-452.

ErdeiGruz, T. (1986). Transfer phenomena in aqueous solutions. Moscow: Mir (in Russian).

Dyinerskiy, Yu. I. (1995). Processes and devices of chemical technology. Pt. 2. Mass transfer processes and devices. Moscow: Khimiya (in Russian).

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Published

15.04.2024

How to Cite

Bulat А., Eliseev, V., Sovit, Y., Molchanov, R., & Blyuss, O. (2024). Mathematical modeling of the convectivediffusive mass transfer in a hemodialysis cell . Reports of the National Academy of Sciences of Ukraine, (2), 40–44. https://doi.org/10.15407/dopovidi2019.02.040

Issue

No. 2 (2019): Reports of the National Academy of Sciences of Ukraine

Section

Mechanics

License

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