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In Fig. 5(a) we show the time evolution of for three different values of γf.
Tandem expansions drive the evolution of, for example, F-Box proteins37, and transcription factors38, but also RLKs16 and RLPs11.
Its eigenspaces, Rm, can then be easily constructed and their relationship with Pm and is illustrated in Fig. 3 whilst the time evolution of for a sample trajectory is shown in Fig. 2(a).
However, modern DNA technology makes it possible to generate not one or two but 1010 or more protein variants with an altered amino-acid sequence, and we can now carry out 'directed evolution' — of, for example, surrogates of green fluorescent protein that range in colour from cyan to red2.
ROC curve represents the resulting sensitivity/specificity (SEN/SPE) pairs, corresponding to the progressive decision threshold evolution of for all the possible values [37, 38].
In the Introduction we state: "The adaptive evolution of, for example, new effectors that enable more efficient exploitation of one host species, increases the risk of detection in other host species by triggering their immune system (Martin and Kamoun, 2012)".
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Our results have interesting implications for evolution of enzymes for SQ biosynthesis.
The AQUASTAT team justifies this choice by virtue of the slow evolution of data for different years for each country.
Then, to examine the driving force for the evolution of function for genes in Groups 2a and 3, we further analyzed adaptive evolution at the amino acid level.
Understanding the evolution of virulence for RNA viruses is essential for developing appropriate control strategies.
Take the evolution of Medicare, for example, the federal insurance program for seniors.
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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