An Improved Mathematical Model of Solute Kinetic During Hemodialysis

Authors

  • Mohammad Munir Department of Mathematics, Government Postgraduate College, No.1, Abbottabad, Pakistan.
  • Asghar Ali Department of Mathematics, Mirpur University of Science and Technology, AJK, Pakistan.
  • Rashida Hussain Department of Mathematics, Mirpur University of Science and Technology, AJK, Pakistan.

Keywords:

Hemodialysis, Obesity Paradox, Concentration Gradient, Mathematical Modeling

Abstract

In this paper, we modify Cronin’s model by defining the toxins generated by the organ mass compartment as the sum of the toxins
used up by the extracellular compartment and the muscles mass adipose tissues compartment. The improved model clearly describes that the concentration of toxins for small patients remains low throughout the dialytic interval. The interdialytic phase starts with the inverted replica of the dialytic interval; a natural physiological phenomenon. However, the concentration of toxins remains high throughout the interdialytic interval which keeps the smaller patients comparatively at more mortality risks than the larger patients during the maintenance hemodialysis. This phenomenon is further verified by the time average concentration of the toxin in the extracellular compartment. 

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Published

2018-03-31

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Section

Articles

How to Cite

An Improved Mathematical Model of Solute Kinetic During Hemodialysis. (2018). Punjab University Journal of Mathematics, 50(1), 52-63. https://pujm.pu.edu.pk/index.php/pujm/article/view/118

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