Introducing viewpoints of mechanics into basic growth analysis - (XV) relationships between richards growth function and basic growth function

This study was designed to investigate relationships between Richards growth function and basic growth function by comparing them using growth dynamics. There are inflection points in Richards growth function, but basic growth function expresses exponential curves only. To compare these two functions that are greatly different, the first and second derivatives were incorporated into each of them. The results obtained were as follows. Richards growth function was related to basic growth function when combined with derivatives and m = 1, though m = 1 was prohibited in Richards growth function itself. The occurrence of this relationship was a mathematical result of growth dynamics based on differential. It was suggested from the present study that Richards growth function was related to basic growth function when combined with the first and second derivatives.