We have developed a model permitting the control of the hemodialysis
patient status. We have represented thefunctioning of each body
compartment by a set of differential equations that express the mass balance of
the carbonate and bicarbonate concentrations in each one. Experimental data from
bibliography were analyzed and compared to our calculus. Results were well
Cite this paper
M. Habib Sellami, "A Bio-Hydraulic Modelling Approach to Control the Hemodialysis Patient Status—Calculus and Validation," Open Journal of Fluid Dynamics, Vol. 3 No. 3, 2013, pp. 205-213. doi: 10.4236/ojfd.2013.33026.
 H. J. Kemp, A. Pham and C. R. Tomson, “Urea Kinetic Modelling: A Measure of Dialysis Adequacy,” Annals of Clinical Biochemistry, Vol. 38, 2001, pp. 20-27.
 R. W. De Boer, J. M. Karemaker and J. Strackee, “Hemodynamic Fluctuation and Baroreflex Sensitivity in Humans: A Beat-to-Beat Model,” American Journal of Phy- siology-Heart and Circulatory Physiology, Vol. 253, No. 3, 1987, pp. H680-H689.
 K. Kotani, K. Takamasu, Y. Ashkenazy, H. Eugene Stanley and Y. Ya mamoto, “Model for Cardio Respiratory Synchronization in Humans,” Physical Review E, Vol. 65, 2002, pp. 1-9.
 H. Seidel and H. Herzel, “Bifurcations in a Non Linear Model of the Baroreceptor Cardiac Reflex,” Physica D: Non Linear Phenomena, Vol. 115, No. 1-2, 1998, pp. 145-160.
 L. Chiari, G. Avanzolini, F. Grandi and G. Gnudi, “A Simple Model of the Chemical Regulation of Acid-Base Balance in Blood,” Proceedings of 16th International Conference IEEE-EMBS, Baltimore, 3-5 November 1994, pp. 1025-1026.
 L. Chiari, G. Avanzolini and M. Ursino, “Acid-Base Regulation in Hemodialysis Patients Modeled by a Simple Respiratory Chemostat,” 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Amsterdam, 1996, pp. 1810-1812.
 F. Grandi, L. Chiari, A. Cappello and G. Avanzolini, “A New Analytic Model of UREA Kinetic Oriented to Parameter Estimation,” International Conference of IEEE-EMBS, Maryland, 3-5 November 1994, pp. 1164-1165.
 M. Ursino, L. Coli, C. Brighenti, L. Chiari, A. De Pascalis and G. Avanzolini, “Predictioof Solute Kinetcis, Acid-Base Status and Blood Volume Changes during Profiled Hemodialysis,” Annals of Biomedical Engineering, Vol.28, No. 2, 2000, pp. 204-216. doi:10.1114/1.245
 M. C. Khoo, R. E. Kronauer, K. P. Strohl and A. S. Slutsky, “Factors Inducing Periodic Breathing in Humans. A General Model,” Journal of Applied Physiology: Respiratory, Environmental & Exercise Physiology, Vol. 53, No. 3, 1982, pp. 644-659.
 M. C. Khoo, “Modelling and Parameter Estimation in Respiratory Control,” Academic Press, New York, 1977.
 S. Timischl, “A Global Model for the Cardiovascular and Respiratory System,” Ph.D. Thesis, Unversitat Graz, Graz, 1998, p. 109.?
 A. S. Levey, J. P. Bosch, J. B. Lewis, T. Greene, N. Rogers and D. Roth, “A More Accurate Method to Estimate Glomerular Filtration Rate from Serum Creatinine: A New Prediction Equation,” Annals of Internal Medicine, Vol. 130, No. 6, 1999, pp. 461-470.
 J. T. Daugirdas, “Chronic Hemodialysis Prescription: A Urea Kinetic Approach,” In: Handbook of Dialysis, Little, Brown and CO., Boston, 1994, pp. 92-120.
 F. A. Gotch, “Kt/V Is the Best Dialysis Dose Parameter,” Blood Purification, Vol. 18, No. 4, 2000, pp. 276-285.
 L. A. Stevens and A. S. Levey, “Clinical Implications of Estimating Equations for Glomerular Filtration Rate,” Annals of Internal Medicine, Vol. 141, No. 12, 2004, pp. 959-961.
 P. A. Stewart, “How to Understand Acid-Base: A Quan- titative Acid-Base Primer for Biology and Medicine,” Elsevier North Holland Publication, city, 1981.
 V. Bordin, C. Catalano, A. Berto, G. Silvestrin, D. Di Landro and F. Fabbian, “Determining the Prescription for Online Predilution Hemofiltration: Our Experience and a Review of the Literature,” Dialysis and Transplantation, Vol. 31, No. 6, 2002.
 B. A. Molitoris, V. Y. Melnikov, M. D. Okusa and J. Himmelfarb, “Technology Insight: Biomarker Development in Acute Kidney Injury: What Can We Anticipate?” Nature Clinical Practice Nephrology, Vol. 4, No. 3, 2008, pp. 1- 8.
 C. Silvio, C. Andrea, S. Stefano, B. Fabio, B. Stefano, G. Andrea, C. Leonardo and S. Antonio, “Model-Based Study of the Effects of the Hemodialysis Technique on the Compensatory Response to Hypovolemia,” Kidney International, Vol. 65, 2004, pp. 1499-1520.
 S. C. Malpas, “Sympathetic Nervous System Overactivity and Its Role in the Development of Cardiovascular Disease,” Physiological Reviews, Vol. 90, No. 2, 2010, pp. 513-557. doi:10.1152/physrev.00007.2009
 R. Zhang, J. A. H. R. Claassen, S. Shibata, S. Kilic, K. Martin-Cook, R. Diaz-Arrastia and B. D. Levine, “Arterial-cardiac. Baroreflex Function: Insights from Repeated Squat-Stand Maneuvers,” American Journal of Physiology-Regulatory, Integrative and Comparative Physiology, Vol. 297, 2009, pp. R116-R123.