Kidney Paired Donation Concepts and Optimization Strategies

Kidney paired donation (KPD) offers a solution for patients with willing but immunologically incompatible living donors. By matching incompatible donor–recipient pairs in cycles or chains, KPD expands the donor pool and reduces waiting times for transplantation. Cycles involve closed loops, typically of two or three pairs, whereas chains are initiated by altruistic non-directed donors and can extend across multiple recipients. National programmes vary in scale, infrastructure and matching rules, while transnational collaborations seek to harmonise legal, ethical and logistical standards across regions. Optimization techniques lie at the heart of KPD, with integer programming, graph-theoretical models and stochastic algorithms employed to maximise transplant numbers, prioritise hard-to-match patients and balance equity among participants. Recent advances have focused on dynamic re-optimization to accommodate last-minute cross-match failures, incorporation of viral-serostatus criteria to prevent high-risk mismatches, and credit-based schemes to ensure fairness in international pools. Together, these concepts and strategies contribute to the global expansion of living-donor transplantation, offering highly sensitized and vulnerable patients improved access to life-saving organs.

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Kidney Paired Donation Concepts and Optimization Strategies publication trend

The graph below shows the total number of articles in kidney paired donation concepts and optimization strategies across all publications each year (not limited to Nature Index journals).

Technical terms

ABO incompatibility: Mismatch of donor and recipient blood groups that precludes direct transplantation.

Cross-match: Laboratory assay to detect recipient antibodies against donor antigens, used to assess immunological compatibility.

Cycle: A closed loop of paired swaps where each donor gives to another recipient in the loop, and each recipient receives from a different donor.

Chain: A sequence of transplants initiated by a non-directed donor, extending through multiple donor–recipient pairs without returning to the origin.

Highly sensitized recipient: Patient with a broad range of preformed antibodies, reducing the probability of finding a compatible donor.

Integer programming: A mathematical optimisation method that selects the best combination of transplants under defined constraints.

Non-directed donor: An altruistic individual who donates without a designated recipient, enabling longer donation chains.

References

1. Mitigating High-risk EBV and CMV Through Kidney Paired Donation: A Survey of Potential Donor and Recipient Candidates. Transplantation Direct (2024).
2. IP solutions for international kidney exchange programmes. Central European Journal of Operations Research (2020).
3. Computing balanced solutions for large international kidney exchange schemes. Autonomous Agents and Multi-Agent Systems (2024).
4. KidneyExchange.jl: a Julia package for solving the kidney exchange problem with branch-and-price. Mathematical Programming Computation (2024).
5. Testing re-optimisation strategies in international kidney exchange programmes by the ENCKEP simulator. Central European Journal of Operations Research (2023).