By means of the proposed approach, non-integer values for the spline order can be employed in an appropriate mathematical framework, allowing its use as a real variable in any design procedure.
Once formulated, this mathematical framework allowed questions about patterns in evolutionary trajectories to be answered objectively, with no human biases to skew the conclusions.
In what follows we propose a mathematical framework allowing one to extract some of this information and quantify the average rates and other parameters of the basic evolutionary processes shaping protein-coding contents of a genome.
Importantly, by using ideal observer models, our mathematical framework allowed us to treat these tasks in a unified formalism even though they had different task requirements and were different at a psychological level.
This has been made possible because the mathematical modeling framework allows exploration of a minimal set of biological mechanisms at play and connects them to a higher level understanding.
"What we have to do is to devise a new mathematical framework that allows us to dig into this mystery," he told BBC News.
We developed a mathematical framework that allows discrimination between damage and recovery processes in tilapia exposed to designed pulse Cu scenarios.
We establish a basic mathematical framework which allows to express the balance laws and the action reaction laws for the discrete system in a "global" form, through the concepts of "part", "granular surface", "separately additive function" and "flux".
