A model for a hemodialyser with simulation of the patient–artificial-kidney system: a case-study problem. A useful case study is the paper by Ramachandran and Mashelkar (1980), where a mesoscopic model with axial dispersion was used for the blood side and plug flow was used for the dialysate side. The solution was analytic and was then combined with a compartmental model to simulate the patient–artificial-kidney system. Your goal in this case study is to review the paper and write a comprehensive MATLAB simulation code.

The second task is to do a parametric sensitivity analysis and then suggest how the model can be used to optimize conditions to get the desired end results. This case study combines several key modeling concepts discussed in this text and may be viewed as a capstone example.