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This, however, may lead to direct conflict between the interests of the researcher and his patient [ 50, 51](middle branch in Figure 1).
At the other extreme of genome instability are sporadic tumors (n = 16, Figure 3A, middle branch) in which the mean fraction of the genome at altered copy number is greater than 0.6 due to the presence of many low level copy number aberrations.
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At (a=a_{mathrm{sn}}^), a saddle-node bifurcation of singular points on the middle branch (S_{r,varepsilon }) in an (O(c))-neighbourhood of (F^); the large relaxation cycle persists.
North of the Middle Branch of the River Rouge in Plymouth Township, I-275 crosses Schoolcraft Road and another CSX line from Detroit.
I also simulate sequences with 4, 12, or 16 taxa, maintaining the divergence point on the middle branch and adding taxa in a balanced fashion to both subtrees.
The resultant dendrogram showed that all Vsp domes clustered into 3 branches, with the BtVsp2 in the upper branch and the BtVsp1 dome in the middle branch (Figure 2).
In orange are marked the curves of saddle-node bifurcations at which the saddle solution (i.e. the middle branch) collides with the focus in the upper or lower branch and annihilates.
Starting at the TB l, the limit cycle arises from the destabilization of the stable focus on the lower branch and grows until it meets the saddle in the middle branch.
Probably the best example of this is that B. hermsii serotypes that clustered in the middle branch of the Vsp dome dendrogram, like Bh2 and Bh3, shared similar low systemic virulence and higher brain dissemination with Bt1, the one B. turicatae serotype we examined from the middle branch of the dendrogram.
HER2 cancers, as assigned by expression subtype (n = 2) or genomic copy number (n = 4) also tend to cluster in this middle branch.
We simulated 50 data sets of different length with a rate shift occurring in the middle branch of a completely asymmetric phylogeny.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com