Here is a simple demo of the idea behind a
two-way kidney exchange (from the Alliance for Paired Donation web-site).
Dr. Frank Delmonico, Susan Saidman, Alvin E. Roth,
Tayfun Sönmez, and I launched New England Program for Kidney Exchange (NEPKE)
in 2004. This is the first program that uses optimization-based mechanisms to
find kidney exchanges.
Alvin E. Roth, Tayfun Sönmez,
and I also helped the launching of the Alliance
for Paired Donation (APD), founded by Dr. Michael Rees and Jon Kopke
through the funding of University of Toledo and University of Cincinnati in
Ohio. APD is a cross-country paired donation registry. Here, we started to
implement Never-Ending-Altruistic-Donor Chains (NEAD-Chains), an idea that we developed
with Michael Rees and Jon Kopke. Here is the ABC News
broadcast of a story on the first NEAD-chain transplant conducted by
Michael Rees. This idea is based on the fact that chain transplants initiated
by altruistic donors need not be done simultaneously. This idea was proposed in
our AJT paper, “Utilizing List
Exchange and Non-directed Donation through "Chain" Paired Kidney
Donations”.
We showed in our AER paper “Efficient
Kidney Exchange: Coincidence of Wants in Markets with Compatibility-Based
Preferences” that using at-most 4-way exchanges, almost all gains
from kidney exchange can be exploited. Based on this, we started to implement
priority mechanisms using at most 4-way kidney exchanges in NEPKE and APD (see a related news
story).
We have also authored the optimization software
currently used in NEPKE and APD. However, solution of this optimization problem
is in general NP complete. Thus, no efficient algorithm exists to find the
outcome of our mechanisms. To handle a larger program, such as a national
kidney exchange program, we proposed David Abraham, Avrim Blum and Tuomas
Sandholm (computer scientists at CMU who are experts of designing memory
efficient algorithms) to design an algorithm to find the outcomes of our
mechanisms for larger problems. They have unveiled their
algorithm that solves our proposals recently in 2007.
Here is the UNOS
consensus statement that I co-authored for the implementation of a national
kidney paired donation program.
Here is the recent US
Congress Bill that clarifies that paired kidney donations do not violate
the National Organ Transplant Act.
Press coverage:
National Science Foundation web-published a story
called “Kidney
Exchange: A Life-Saving Application of Matching Theory” about my research
with Alvin E. Roth and Tayfun Sönmez on
Kidney Exchange.
Tim Harford published a story in the Financial
Times on 7/14/2007 about our work.
Steven Levitt and Stephen Dubner wrote a story
citing our work on their Freakonomics
column in the New York Times Magazine on 7/9/2006.
An article titled "Easing
the Kidney Shortage" from the Wall Street Journal (6/17/2004)
describes the basics of our kidney exchange system and outlines that New
England region is considering establishment of a cross-donor database and
adoption of a version of our proposed mechanism to carry out kidney exchanges among transplant patient-donor pairs.
Also see another article titled "Cross-donor
system planned for region's kidney patients" from the Boston Globe
(6/5/2004) on the same subject.
SIAM News also published an article
about our paper in their June, 2004 issue.
Our proposals on organization of kidney exchange
have been finding real life applications in other transplant centers, as well:
In our JET paper “Pairwise Kidney Exchange”, besides
our mechanism design approach, we propose using combinatorial optimization and
graph theoretic techniques developed by Edmonds (1965) on organizing kidney
exchanges. After we published ‘Pairwise Kidney Exchange’ as an NBER working
paper in the summer of 2004, Johns Hopkins team published a paper in 2005 in
the Journal of American Medical Association with simulations using the generalized
version of Edmonds’ (1965) algorithm that we proposed in ‘Pairwise Kidney
Exchange’. Consequently, Johns Hopkins University Transplant Center adopted a pairwise kidney exchange
scheme based on Edmonds’ algorithm.
In our QJE paper “Kidney
Exchange”, we propose the idea of a “w-chain exchange.” Non-directed donor
chain exchanges are based on the same idea, and this second idea was developed
by Johns Hopkins. Recently, Johns Hopkins University conducted the first 5-way
non-directed donor chain exchange, in which a non-directed altruistic donor
donates a kidney to the patient of the first pair, the donor of the first pair
donates a kidney to the patient of the second pair, the donor of the second
pair donates a kidney to the patient of the third pair, the donor of the third
pair donates a kidney to the patient of the fourth pair, and finally the donor
of the fourth pair donates a kidney to a waiting list patient without a donor.