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Numerical Modeling of Renal Ionic Equilibrium for Implantable Kidney Applications


  • Saleh Massoud Faculty of Biomedical Engineering, Al-Andalus University for medical sciences, Tartous, Syria
  • Ayham Darwich Faculty of Biomedical Engineering, Al-Andalus University for medical sciences, Tartous, Syria and Faculty of Technical Engineering, University of Tartus, Tartous, Syria.
  • Ebrahim Ismaiel Faculty of Information Technology and Bionics, Pazmany Peter Catholic University, Budapest, Hungary.



Applications of implantable kidney, Kidney design, Matlab, Numerical modeling, Renal ions equilibrium


The human kidney is one of the most important organs in the human body; it performs many functions
and has a great impact on the work of the rest of the organs. Among the most important possible treatments is
dialysis, which works as an external artificial kidney, and several studies have worked to enhance the
mechanism of dialysate flow and improve the permeability of its membrane. This study introduces a new
numerical model based on previous research discussing the variations in the concentrations of sodium,
potassium, and urea in the extracellular area in the blood during hemodialysis. We simulated the differential
equations related to mass transfer diffusion and we developed the model in MATLAB Simulink environment.
A value of 700 was appeared to be the most appropriate as a mass transfer coefficient leading to the best
permeability. The suggested models enabled to track the temporal variations of urine, K and Na concentrations
in blood streamline. This also produced the time needed to reach the requested concentrations mentioned in
literature studies (960 ms). Concentrations evaluation was performed with error rates not exceeding 2% for all
ions compared to the normal values of human blood.The current work presents the first step towards combinig
the mass transfer and diffusion principles with our efforts in designing and implementing an electrophoresisbased implantable kidney.


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