"explanation of the function" is correct and usable in written English.
You might use it when describing a process or concept, such as an explanation of how a particular mechanism or tool works. For example, "This document provides an explanation of the function of the complex algorithm used in this software program."
Consequently, an explanation of the function of a particular behaviour should include how the behaviour promotes the success of the genes that underlie the behaviour.
The properties of tissue culture media are covered, with an explanation of the function of each component.
Detailed explanation of the function and the electro-optical properties of the active pixel CMOS sensor supported by plots and diagrams are provided to enable understanding of the basic properties of this detector technology.
His approach to the whole matter can be defined as "analytical," since he seems to believe that (i) any ontology has to be built up in relation to the resolution of semantic problems, (ii) any philosophical explanation of reality has to be preceded by a semantic explanation of the function of our language.
Future studies should provide a more comprehensive explanation of the function of these factors.
Included in this discussion are average values for trace contaminants in gasoline, and an explanation of the function of the many gasoline additives.
This review provides a possible explanation on the function of MARs and presents recent data on their use to increase protein production.
After viewing the presentation problem, we find a summary of the rules upon which to bu9ld Adaptive Control Systems and then move on to a detailed explanation of the functioning of (AFPAR) and its systematic advantages and disadvantages.
The identification of a Crp-binding site in this module provides a reasonable explanation for the function of Crp in multiple branches of anaerobic energy metabolism.
The context of situation provides us the means to relate the text to the context of culture, where the explanation for the function and origins of any ideology lies.
