The Birthday of Joseph E. Murray (1919) — Mathematics of Organ Transplantation

Joseph Murray performed the first successful kidney transplant in 1954. The mathematics behind organ transplantation includes tissue matching (probability, combinatorics), organ allocation (optimisation algorithms), and survival analysis (Kaplan‑Meier curves, Cox regression). The number of possible donor‑recipient pairs is enormous; matching systems use graph theory to maximise successful transplants. Murray won the Nobel Prize in Medicine in 1990. His work shows how mathematics helps extend human life.