Skip to main content

Advertisement

Log in

Model predictive control of relative blood volume and heart rate during hemodialysis

  • Original Article
  • Published:
Medical & Biological Engineering & Computing Aims and scope Submit manuscript

Abstract

To maintain the hemodynamic stability of patient undergoing hemodialysis, this article proposes a novel model-based control methodology to regulate the changes in relative blood volume (RBV) and percentage change in heart rate (∆HR(%)) during hemodialysis by adjusting the ultrafiltration rate (UFR). The control algorithm uses model predictive control (MPC) to account for system variability and to explicitly handle the constraints on UFR. Linear state-space system with time-varying parameters is introduced to model the RBV and ∆HR. MPC was used to track the change in RBV and ∆HR to pre-defined reference trajectories. At each sampling instant, the system parameters are updated to get the best fitting into the parameterized model. Simulation results demonstrate that the system is able to regulate RBV and ∆HR to the reference by adjusting UFR while keeping it within practically realizable bounds. The results show that adjusting UFR may improve the stability of patient during dialysis when compared to conventional hemodialysis with constant UFR.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Andrulli S, Colzani S, Mascia F, Lucchi L, Stipo L, Bigi MC, Crepaldi M, Redaelli B, Albertazzi A, Locatelli F (2002) The role of blood volume reduction in the genesis of intradialytic hypotension. Am J Kidney Dis 40(6):1244–1254

    Article  Google Scholar 

  2. Barbieri R, Triedman JK, Saul JP (2002) Heart rate control and mechanical cardiopulmonary coupling to assess central volume: a systems analysis. Am J Physiol Regul Integr Comp Physiol 283(5):R1210–R1220

    Google Scholar 

  3. Barth C, Boer W, Garzoni D, Kuenzi T, Ries W, Schaefer R, Schneditz D, Tsobanelis T, van der Sande F, Wojke R, Schilling H, Passlick-Deetjen J (2003) Characteristics of hypotension-prone haemodialysis patients: is there a critical relative blood volume? Nephrol Dial Transplant 18(7):1353–1360

    Article  Google Scholar 

  4. Cheng TM, Savkin AV, Celler BG, Su SW, Wang L (2008) Nonlinear modeling and control of human heart rate response during exercise with various work load intensities. IEEE Trans Biomed Eng 55(11):2499–2508

    Article  Google Scholar 

  5. Cheryan M (1998) Ultrafiltration and microfiltration handbook. Technomic Publishing Co., Lancaster, pp 305–307

    Google Scholar 

  6. Converse RLJ, Jacobsen TN, Jost CM, Toto RD, Grayburn PA, Obregon TM, Fouad-Tarazi F, Victor RG (1992) Paradoxical withdrawal of reflex vasoconstriction as a cause of hemodialysis-induced hypotension. J Clin Invest 90(5):1657–1665

    Article  Google Scholar 

  7. Dasselaar JJ, Huisman RM, De Jong PE, Franssen CF (2007) Relative blood volume measurements during hemodialysis: comparisons between three noninvasive devices. Hemodial Int 11(4):448–455

    Article  Google Scholar 

  8. Dasselaar JJ, Lub-de Hooge MN, Pruim J, Nijnuis H, Wiersum A, de Jong PE, Huisman RM, Franssen CF (2007) Relative blood volume changes underestimate total blood volume changes during hemodialysis. Clin J Am Soc Nephrol 2(4):669–674

    Article  Google Scholar 

  9. DeCarlo R, Meirina C (2000) Parameter identification and adaptive control of an ultrafiltration process in hemodialysis. In: Proceedings of the 2000 American control conference, vol 5, pp 2967–2971

  10. Franssen CF, Dasselaar JJ, Sytsma P, Burgerhof JG, de Jong PE, Huisman RM (2005) Automatic feedback control of relative blood volume changes during hemodialysis improves blood pressure stability during and after dialysis. Hemodial Int 9(4):383–392

    Article  Google Scholar 

  11. Goodwin GC, Graebe SF, Salgado ME (2001) Control system design. Prentice Hall, Upper Saddle River, pp 739–765

    Google Scholar 

  12. Ishihara T, Igarashi I, Kitano T, Shinzato T, Maeda K (1993) Continuous hematocrit monitoring method in an extracorporeal circulation system and its application for automatic control of blood volume during artificial kidney treatment. Artif Organs 17(8):708–716

    Google Scholar 

  13. Javed F, Savkin AV, Chan GSH, Middleton PM, Malouf P, Steel E, Mackie JD, Lovell NH (2009) Assessing the blood volume and heart rate responses during haemodialysis in fluid overloaded patients using support vector regression. Physiol Meas 30:1251–1266

    Article  Google Scholar 

  14. Kitamura M (2000) Application of automatic ultrafiltration controller with blood monitor for home hemodialysis patients. J Artif Organs 3:117–119

    Article  Google Scholar 

  15. Maciejowski JM (2002) Predictive control with constraints. Prentice Hall, Upper Saddle River

    Google Scholar 

  16. Mancini E, Santoro A, Spongano M, Paolini F, Rossi M, Zucchelli P (1993) Continuous on-line optical absorbance recording of blood volume changes during hemodialysis. Artif Organs 17(8):691–694

    Article  Google Scholar 

  17. Mancini E, Mambelli E, Irpinia M, Gabrielli D, Cascone C, Conte F, Meneghel G, Cavatorta F, Antonelli A, Villa G, Dal Canton A, Cagnoli L, Aucella F, Fiorini F, Gaggiotti E, Triolo G, Nuzzo V, Santoro A (2007) Prevention of dialysis hypotension episodes using fuzzy logic control system. Nephrol Dial Transplant 22(5):1420–1427

    Article  Google Scholar 

  18. Moissl U, Wabel P, Isermann R (2001) Model-based control of hemodialysis. Proceedings of the 2001 American control conference, vol 5, pp 3809–3810

  19. Paolini F, Mancini E, Bosetto A, Santoro A (1995) Hemoscan: a dialysis machine-integrated blood volume monitor. Int J Artif Organs 18(9):487–494

    Google Scholar 

  20. Pelosi G, Emdin M, Carpeggiani C, Morales MA, Piacenti M, Dattolo P, Cerrai T, Macerata A, L’Abbate A, Maggiore Q (1999) Impaired sympathetic response before intradialytic hypotension: a study based on spectral analysis of heart rate and pressure variability. Clin Sci 96(1):23–31

    Article  Google Scholar 

  21. Petersen IR, Savkin AV (1999) Robust Kalman filtering for signals and systems with large uncertainties. Birkhäuser, Boston

    Google Scholar 

  22. Rao RR, Aufderheide B, Bequette BW (2003) Experimental studies on multiple-model predictive control for automated regulation of hemodynamic variables. IEEE Trans Biomed Eng 50(3):277–288

    Article  Google Scholar 

  23. Saitoh T, Ogawa Y, Aoki K, Shibata S, Otsubo A, Kato J, Iwasaki K (2008) Bell-shaped relationship between central blood volume and spontaneous baroreflex function. Auton Neurosci 143(1–2):46–52

    Article  Google Scholar 

  24. Santoro A, Mancini E, Paolini F, Cavicchioli G, Bosetto A, Zucchelli P (1998) Blood volume regulation during hemodialysis. Am J Kidney Dis 32(5):739–748

    Article  Google Scholar 

  25. Schmidt R, Roeher O, Hickstein S, Korth S (2001) Blood pressure guided profiling of ultrafiltration during hemodialysis. Saudi J Kidney Dis Transpl 12(3):337–344

    Google Scholar 

  26. Su SW, Wang L, Celler BG, Savkin AV, Guo Y (2007) Identification and control for heart rate regulation during treadmill exercise. IEEE Trans Biomed Eng 54(7):1238–1246

    Article  Google Scholar 

  27. Task Force of the European Society of Cardiology and the North American Society of Pacing Electrophysiology (1996) Heart rate variability: standards of measurement, physiological interpretation and clinical use. Eur Heart J 17(3):354–381

    Google Scholar 

Download references

Acknowledgments

We wish to thank the staff at the Renal Dialysis Unit, Prince of Wales Hospital, Sydney for their permission to conduct this research at their unit and assistance with the collection of data.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Faizan Javed.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Javed, F., Savkin, A.V., Chan, G.S.H. et al. Model predictive control of relative blood volume and heart rate during hemodialysis. Med Biol Eng Comput 48, 389–397 (2010). https://doi.org/10.1007/s11517-010-0582-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11517-010-0582-5

Keywords

Navigation