Optimization and Simulation of Kidney Paired Donation Programs

University Of Michigan At Ann Arbor, Ann Arbor MI

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Abstract

DESCRIPTION (provided by applicant): An evolving strategy known as kidney paired donation (KPD) employs a technological solution to overcome the barriers faced by many patients with kidney failure who present with willing, but immunologically or blood type incompatible living donors. Kidney paired donation uses a computerized algorithm to match one incompatible donor/recipient pair to another pair with a complementary incompatibility, such that the donor of the first pair gives to the recipient of the second, and vice versa. We also consider more complex exchanges of organs involving three or more pairs. In addition, we allow for altruistic donors who donate a kidney voluntarily and thereby have the potential to create a chain of kidney transplants. A fundamental problem in managing a KPD program is selecting the optimal set of transplants from among the many mathematically possible alternative combinations that could be generated. The choice of an optimal allocation depends in part on the assigned utility of a specific transplant. We show that this choice should also depend on stochastic elements and define new and better methods for optimization. We will develop a data-based micro-simulation model of KPD program, and utilize that model to evaluate different allocation strategies, to compare the impact of these strategies on performance outcomes, and to assess effects of different utility assignments. In addition, we will develop a user-friendly version of these models to provide decision support to individuals charged with managing KPD programs. To accomplish these tasks, we propose the following specific aims: Aim 1: Develop optimization methods for selecting exchanges and chains in a KPD program that take account of utility and uncertainty, and to compare these new methods with those currently in use that are based solely on utility. This includes testing and refining these methods through their implementation in existing KPD programs. Aim 2: To develop a holistic approach to the modeling of all aspects of a KPD program using simulation methods based on multiple data sources, and the use of this micro simulation model to assess the effects of policy decisions and approaches on key performance measures of a KPD. Aim 3: To develop a user friendly interface to enable the use of the micro simulation model for decision support in active KPD programs.