Sensitivity analysis of solute kinetics in a four compartmental model for hemodialysis patients

Authors

  • Mohammad Munir Government Postgraduate College No.1, Abbottabad 22010, Pakistan.
  • Usman Saleem Khan Panni Dept. of Mathematics Govt. Postgraduate College, Abbottabad, Pakistan.
  • Nasreen Kausar Yildiz Technical University,Faculty of Arts and Science, Department of Mathematics, Esenler, 34210, Istanbul, Turkey.
  • Rukhshanda Anjum Dept. of Mathematics and Statistics, University of Lahore, Lahore, Pakistan.

DOI:

https://doi.org/10.48129/kjs.v48i3.9085

Keywords:

Solute kinetic, Compartmental Model, Sensitivity Analysis

Abstract

Sensitivity Analysis of the most advanced four compartmental
mathematical 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.

Author Biography

Mohammad Munir, Government Postgraduate College No.1, Abbottabad 22010, Pakistan.

Dr. Mohammad Munir,

Assistant Professor of Mathematics,

Department of Mathematics,

Government  Postgraduate College No.1,

Abbottabad 22010, Pakistan.

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Published

24-06-2021