This article is a review that leads to build a state of knowledge about Multi-Agent Systems based on Selection and Search (ISSA) applied in the search and selection of organ and tissue transplant recipients, emphasizing as a case study the heart, using Geo-location. In particular, this research analyzes technical, scientific and normative aspects of ISSA, between 2007 and 2017, in Europe (Spain) and Latin America (Colombia). A base line of systems based on Artificial Intelligence is thus obtained for the selection and search of transplant recipients, before a possible demand of the List of Persons Waiting for Donation (LED). From the above, solutions can be implemented reducing time in the allocation of organs taking into account their characteristics and compatibility: blood group, size, location criteria, among others, from one to several possible recipients. Finally, a technological solution model for Colombia is proposed.