Solutions of Rate-state Equation Describing Biological Growths

Abstract

In this paper, we consider the commonly used growth models and explicitly shown that each is a solution of the rate-state ordinary differential equation which describes biological growths.We construct growth function and relative growth function for the models: Generalized logistic, Particular case of generalized logistic, Richards, Von Bertalanffy, Brody, Classical logistic, Gompertz, Weibull, Generalized Weibull, Monomolecular and Mitscherlich. Detailed derivations are presented considering non-mathematicians working in the fields of Biological sciences and non-availability of these derivations in literature.