Daley, DarylStoyan, HStoyan, D2015-12-132015-12-130001-8678http://hdl.handle.net/1885/94911This paper considers a germ-grain model for a random system of non-overlapping spheres in ℝd for d = 1, 2 and 3. The centres of the spheres (i.e. the 'germs' for the 'grains') form a stationary Poisson process; the spheres result from a uniform growth pKeywords: Asymptotic stability; Computer simulation; Grain growth; Mathematical models; Random processes; Spheres; Volume fraction; Dynamic lilypond models; Germ-grain models; Non-overlapping spheres; Stienen models; Poisson distribution Dynamic lilypond model; Germ-grain model; Growth model; Non-overlapping spheres; Poisson process; Stienen model; Volume fraction19992015-12-12