A universal model of ontogenetic growth.
The assumption that a single growth equation can be used to describe all biological objects on different organizational levels and a dimensional analysis are applied in order to substantiate universal model of ontogenetic growth. This model (the mass of a growing organism is a power function of time) is valid only in the initial period of growth. For the whole period of growth, a generalization of the model is advanced; it provides the same accuracy as previously known models of quantitative description of kinetic curves. Within the scope of the developed model, a number of interesting results related to allometry and biological time are obtained.
Ural Federal University, 19 Mira Str., Ekaterinburg, 620002, Russia, leonidmartyushev@gmail.com.
Leonid M
LM
Martyushev
Pavel S
PS
Terentiev
D000818:Animals; D003198:Computer Simulation; D048788:Growth and Development / Q000502:physiology*; D006801:Humans; D008954:Models, Biological