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Ecological responses were represented as state-and-transition models (STMs), and analyzed as mathematical graphs.
STMs are treated as mathematical graphs, and several metrics from algebraic graph theory are applied spectral radius, algebraic connectivity, and the S-metric.
The series of scans on ScanLAB's page show the development and variations of their still nascent techniques, creating effects that swing between mathematical graphs, phantasmal half-worlds and rather solid plains of existence.
Here, we propose a new formalism for phenotypes based on mathematical graphs.
Mathematical graphs are straightforward to construct and interrogate using NetworkX, another Python module, whilst Voronoi tesselations and Delaunay triangular meshes can be built using SciPy.
Mathematical graphs are widely used for modeling biological phenomena (Mason and Verwoerd, 2007), from gene regulatory networks (de Jong, 2002) to evolutionary dynamics (Lieberman et al., 2005).
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Allow me to illustrate with a mathematical graph: This is only true to a point, as you can see in this sliding show: Credit View full screen Sign up for the daily newsletter.Sign up for the daily newsletter: the best of The New Yorker every day.
This was achieved through application of mathematical graphing softwares such as Microsoft Excel, MATLAB and R, Matplotlib, Graph Sight, etc.
In doing so we demonstrate the utility of a mathematical graph as an ecological construct with respect to habitat connectivity.
In this study, we present a novel application of mathematical graph theory to explore the network structure of coarse sediment pathways in a central alpine catchment.
Illustrating these paired and non-paired interaction networks, known as RNA's secondary (2D) structure, using mathematical graph objects has been illuminating for RNA structure analysis.
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