Related Experiment Video
Updated: Apr 14, 2026

Experimental Manipulation of Body Size to Estimate Morphological Scaling Relationships in Drosophila
Published on: October 1, 2011
A universal model of ontogenetic growth
Leonid M Martyushev1, Pavel S Terentiev
1Ural Federal University, 19 Mira Str., Ekaterinburg, 620002, Russia, leonidmartyushev@gmail.com.
Abstract:
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.
More Related Videos
Related Concept Videos
Modeling with Differential Equations
Exponential Equations for Modeling Growth
Growth Models with Integration: Problem Solving
Population Growth
Clearance Models: Physiological Models
The organ's clearance rate depends on the blood flow to the organ and the extraction ratio (E). The extraction ratio describes the organ's...
Oxygen Requirements and Growth Patterns

