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The longitudinal coordinate evolution is performed exactly by the method of characteristics while the radial coordinates evolution uses Poisson's integral solution, which allows to implement the radial symmetry of the wave function.
where L N (M)(x) are generalized Laguerre polynomials and Φn,m(r) is the radial part of the wave function describing the relative coordinates evolution, which is a solution of the following ordinary differential equation: − 1 r d d r r d Φ n, m r d r + m 2 r 2 + γ m + 1 4 η e 3 ω e 2 + η h 3 ω h 2 r 2 − 2 d 2 + r 2 Φ n, m r = E r n, m Φ n, m r. (11).
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Comparison of the locations of clusters that reflect coordinated evolution of gene expression across taxa to clusters of coordinated expression within the species D. simulans demonstrated a lack of correspondence in locations.
Smith, B. et al. The OBO Foundry: coordinated evolution of ontologies to support biomedical data integration.
One is the mechanism of alternation between oddness and evenness, and the other is the mechanism of coordinate evolution and coordinate degeneration.
The model demonstrates the use of a dynamic language, specifically Groovy, to represent the socially coordinated evolution of behavior.
Female preference for a particular rhythm and vocal divergence of male signals during speciation might have undergone coordinated evolution as suggested for other animal models [71].
The different peptide classes vary in their mechanisms of microbial recognition and killing, but all peptides interact directly with microbes, resulting in the potential coordinate evolution of host genes with microbes.
Clusters of genes evince coordinated evolution of expression across the seven species.
Together, the results imply coordinate evolution of AS and alternative transcription, processes that occur concomitantly within gene expression factories.
This organization of transcriptomes suggests that coordinated evolution of gene expression for clustered genes may also be common.
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