Sensitivity analysis of solute kinetics in a four compartmental model for hemodialysis patients
DOI:
https://doi.org/10.48129/kjs.v48i3.9085Keywords:
Solute kinetic, Compartmental Model, Sensitivity AnalysisAbstract
Sensitivity Analysis of the most advanced four compartmentalmathematical model explaining solute kinetic in the hemodialysis
patients was performed on the basis of the data collected from six patients
with different BMIs. The toxin concentration in all compartments
increases with the decrease in the BMIs of the patients. The clearance
rate, k_clear, and the volume of extracellular compartment, V_E, are the
most sensitive while the volume of the muscle tissue compartment, V_MT ,
and the clearance rate, k_MT , are the least sensitive parameters during dialytic
interval. The production rate, G, and the volume of the extracellular
compartment, V_E, are the most sensitive while kclear and k_EAT are the
least sensitive parameters of all parameters during the interdialytic interval.
The overall production rate, G, remains more sensitive than the
clearance rate, k_clear during one complete cycle.
References
A. M.Weinstein, Mathematical models of tubular transport, Annual review of physiology 56 (1) (1994) 691–709.
S. R. Thomas, Modelling and simulation of the kidney, Journal of Biological Physics and Chemistry 5 (2/3) (2005) 70.
F. Kappel, J. Batzel, M. Bachar, P. Kotanko, A mathematical model comparing solute kinetics in low and high bmi hemodialysis patients, Institute for Mathematics and Scientific Computing, University of Graz, Tech. Report (1) (2009).
M. Munir, A. Ali, R. Hussain, An improved mathematical model of solute kinetic during hemodialysis, Punjab University Journal of Mathematics (ISSN 1016-2526) 50 (1) (2018) 55–66.
L. M. Tierney, S. J. McPhee, M. A. Papadakis, Current Medical Diagnosis & Treatment:Pocket Guide, McGraw-Hill, 2001.
J. T. Daugirdas, P. G. Blake, T. S. Ing, Handbook of dialysis, Vol. 236, Lippincott Williams & Wilkins, 2007.
R. Hussain, F. Kappel, F. Zhu, N. W. Levin, P. Kotanko, Body composition and solute kinetics in hemodialysis patients: a mathematical model, IET Communications 6 (18) (2012) 3301–3308.
E. M. Choy, D. F. Evans, E. Cussler, Selective membrane for transporting sodium ion against its concentration gradient, Journal of the American Chemical Society 96 (22) (1974) 7085–7090.
J. J. Batzel, F. Kappel, D. Schneditz, H. T. Tran, Cardiovascular and Respiratory Systems: Modeling, Analysis, and Control, Vol. 34, SIAM, 2007.