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To obtain mathematical model, this work applies a nonlinear identification method, based on the harmonic balance principle, to a chaotic unknown system with a noisy environment.
Here we perform a rapid analysis of the mathematical model, this type of model having been studied in more detail elsewhere [28], [31].
In our mathematical model this means a free choice in some parameter values within given intervals.
Finally, using a mathematical model, this data can be replicated by setting a parameter that quantifies the mutual stabilization conferred by helices on each side of a peptide defect within a triple helix.
Thirdly, we use the term "generation number" to mean iteration number, that is the timescale over which cells have the opportunity to divide once; in our algorithm (mathematical model) this is the iteration number and corresponds to the timescale of interest.
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By examining three developmental processes and corresponding mathematical models, this Review addresses the potential of mathematical modelling to help understand development.
Methods from multivariate data analysis are powerful tools for analyzing such data and for creating mathematical models; this is the essential part of today's chemometrics [1].
When combined with mathematical models, this information provides further insight into underlying mechanisms and important parameters that are unable to be extracted from experimental techniques.
Instead of mathematical modeling, this problem can be approached more fruitfully from a different dimension, taking advantage of the enormous power of contemporary supercomputers.
In this study, we propose a mathematical model of this problem.
Oddly, though, a convenient mathematical model describing this fact has yet to be widely adopted.
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