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Furthermore, for a fixed k, the coefficient of ((D_{a_{k}}^{k}R_{k})) is either zero or a fractional expression of which the denominator is (P_{n}) and the numerator is (leq P_{k}).
For example, we stained MPE pathology specimens for the fractional expression of CD44.
The network behavior was evaluated in terms of fractional expression of FLO11 using Equation 1.
For K3 values higher than 3nM, the fractional expression of FLO11 decreased below 90% (result not shown).
We characterized the network behavior as multiplicative product of three functionalities involving cAMP-PKA, MAPK and TOR pathways to evaluate the fractional expression of FLO11.
<img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0001663.e003.PNG" class= inline-graphic"/> The exponents nH6 = inline-graphic8 represented the Hills coefficient for the fractional expression of FLO11 (fFLO11) with respect to concentration of adenylate cyclase (adc) and Cdc42GTP, respectively.
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The term on the left-hand side of Eq. (5) is meant to convert a specific decibel value η to its linear magnitude, while the numerator and denominator of the fractional expression on the right-hand side of Eq. (5) denote the energy levels of the signal and noise, respectively.
"UGT2B7 ontogeny" denotes the fractional expression and function of the UGT2B7 isoenzyme in children as compared with adults.
We calculated the SD of the fractional expression values for isoforms within each snRNA subtype at each developmental stage and the results are shown in Figure 3B.
We can invert this relationship to write the concentration c, which is relevant for the diffusive noise, as a function of the mean fractional expression level g̅.
In conclusion, while the aim of this paper was to explore the relationship between the fractional operator and the time delay, it was verified that the proposed algorithm can be applied to successfully approximate fractional expressions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com