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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1197 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1197 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/1197 archive 351 disk0/00/00/11/73 2016-01-15 01:46:40 2021-08-27 17:09:30 2016-01-15 01:46:40 monograph show 2 Spinrad B.I. AL0370 pub iis_pop iis_met prog_enp The problem of the size of a cell population, descendant from a single cell or a small group of cells, each of which is subject to the alternative fates of death or division into two new cells, is a prototype problem for a number of different types of population models. I first came across it while studying models for the penetration of mutations into a population, for example. At that time, about 20 years ago I could not find an exact solution in the literature available to me, although asymptotic properties were well known. I recently reviewed the problem, primarily as a mathematical recreation. In so doing, I blundered into the solution. I do not know whether it has been published, either before 1958 or by 1978. This memorandum may be useful to researchers dealing with the problem or with its analysis. I write it partly for its potential value as a collection, in one place, of properties of the solutions of the stated problem. However, I must also admit that, to a certain extent, it is written to illustrate that scientific research is much more often dominated by heuristics and serendipity than by pure logical inference. 1979-01 published WP-79-010 WP-79-010 2413 public working_paper IIASA, Laxenburg, Austria 14 FALSE info:eu-repo/semantics/book