In organ transplantation, there is a lack of ethical discussion about the recipient’s right not to receive a transplant. Using the current situation of living organ transplantation and deceased organ transplantation in Japan as an example, we prospectively discussed to what extent the recipient’s right not to receive a transplant is ethically acceptable. In directed transplantation from a living donor, a recipient may refuse organ donation from a particular donor. It is preferable that a recipient’s request for organ donation from a donor occurs as part of a transparent process. In nondirected transplantation from a deceased donor, refusal of transplantation from a particular type of donor appears potentially justifiable. There are both moral and pragmatic considerations. Certain refusals based solely on belief are morally unacceptable, and refusal to transplant a recipient based on the donor’s age jeopardizes the entire transplant system. When religious beliefs affect mental and physical health, individualized measures are required for transplant rejection. We also deductively developed a prospective argument based on the current status of donor–recipient communication in living organ transplantation in Japan and the 2010 amendment of the law allowing relatives to be given priority in organ transplantation from deceased donors.

We propose a class of random scale-free spatial networks with nested community structures called SHEM and analyze Reed–Frost epidemics with community related independent transmissions. We show that in a specific example of the SHEM the epidemic threshold may be trivial or not as a function of the relation among community sizes, distribution of the number of communities, and transmission rates.