Gompertzian
Gompertzian refers to phenomena or models that follow the Gompertz form, named after Benjamin Gompertz who proposed the model in 1825. In growth and mortality studies, a Gompertzian pattern is a sigmoidal process in which early growth is rapid but decelerates over time, approaching a limiting value.
The Gompertz equation is commonly written as dN/dt = -a N ln(N/K), with N(t) the size at time
In oncology, Gompertzian growth describes tumors that grow quickly when small but slow as they become large,
Limitations include that real systems may exhibit time-varying parameters, multiple growth phases, or deviations from a