The use of Gompertz models in growth analyses, and new Gompertz-model approach: An addition to the Unified-Richards family
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Abstract
The Gompertz model is well known and widely used in many aspects of biology. It has been frequently used to describe the growth of animals and plants, as well as the number or volume of bacteria and cancer cells. Numerous parametrisations and re-parametrisations of varying usefulness are found in the literature, whereof the Gompertz-Laird is one of the more commonly used. Here, we review, present, and discuss the many re-parametrisations and some parameterisations of the Gompertz model, which we divide into Ti (type I)- and W0 (type II)-forms. In the W0-form a starting-point parameter, meaning birth or hatching value (W0), replaces the inflection-time parameter (Ti). We also propose new "unified" versions…
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Keywords
- Gompertz function
- Econometrics
- Mathematics
- Computer science
- Biology
- Statistics
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