A Mathematical Model to Investigate the Advantages of Participation of the Compatible Pairs in Kidney Exchange Programs

Abbasi, Mohammad Hossein | 2019

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 51995 (01)
  4. University: Sharif University of Technology
  5. Department: Industrial Engineering
  6. Advisor(s): Najafi, Mehdi
  7. Abstract:
  8. In the current situation, kidney transplantation is the most appropriate and least costly treatment for patients with end-stage renal disease (ESRD). Related or altruistic living donors, as well as deceased donors, are considered as a supply source for donated kidneys. Researches have shown deceased donor kidney may not work as well as a living donor kidney because the deceased donor kidney is outside the donor's body for a longer time. If the donor has an incompatibility with the patient (in terms of the blood group, HLA, etc.), a kidney exchange between the pairs can be used to resolve the issue and make the transplantation possible. Pairs with blood group compatibility have also volunteered to participate in several paired donations. Adding these pairs to the kidney exchange program (KEP) not only does improve the chance of incompatible pairs (ICP) to find adaptation, but also compatible pairs (CP) could find a younger or better matched donor. In this research, we studied the potential incentives for CPs to participate in KEP in order to increase the number of matches. Therefore, we simulated a population including compatible and incompatible pairs based on the information contained in valid databases and extended an integer linear programming (ILP) to consider this problem. Finally, we have observed an increase in the number and quality of the matches
  9. Keywords:
  10. Kidney Exchange Problem ; Compatible Pair ; Integer Programming ; Optimization ; Graph Theory

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