title: The Trans-Gompertz Function: An Alternative to the Logistic Growth Function with Faster Growth.
abstract: The growth characteristics of the recently derived Trans-Gompertz function are compared to those of the Generalized Logistic function. Both functions are defined by one shaping parameter and one rate parameter. The functions are matched at a specified point on the growth curve by equating both the first and second derivatives. Analysis shows that the matched Trans-Gompertz function will have grown at a faster rate with a larger inflection point ratio.
authors.affiliation: Department of Mathematics, Hampton University, Hampton, VA, USA. fpkozusko@yahoo.com.
authors.forename: F
authors.initials: F
authors.lastname: Kozusko
authors.affiliation: TIAA-CREF, New York, NY, USA.
authors.forename: M
authors.initials: M
authors.lastname: Bourdeau
mesh_terms: D049109:Cell Proliferation; D006801:Humans; D016015:Logistic Models; D008433:Mathematics; D008954:Models, Biological
keywords: Gompertz; Logistic; Population Growth; Sigmoid; Trans-Gompertz; Tumor Growth