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This proportional pattern of ADHD subtypes was similar to that of the remaining group with 2 or more diagnoses.
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The coherent constant and proportional patterns for the equilibrium and nonequilibrium models of adsorption dynamics have been analyzed for linear adsorption isotherms at variable linear fluid velocity in the fixed bed.
For the equilibrium model, the concentration-constant-patterns and concentration-proportional-patterns may be described by using the Riemann invariants Rk and Hi invariant analytical expressions which are found.
However, the absence of elevated levels of post-translationally modified amino acids or dipeptides in the reduction dataset indicates that protein degradation is likely not the cause of the non-proportional patterns of amino acid abundance across N conditions (Additional file 8).
Therefore, it appears that the relative patterns of proportional dominance stayed roughly the same from one coal bed to the next during Late Pennsylvanian glacially-driven climatic oscillations.
If α = 1, the noise is multiplicative (its standard deviation is proportional to pattern values).
The intermediate value α = 0.5 corresponds to Poissonian noise, where noise variance is proportional to pattern value.
For adult age groups, the proportional distribution pattern for subependymoma increased with advancing age, whereas decreases with age were observed for myxopapillary ependymoma.
We observed the same proportional distribution pattern of these five transcripts from sequencing data and qPCR validation results (Additional file 1: Figure S23B), revealing that quantification from single-cell RNA-seq data is reliable.
Interestingly, both leaves and roots exhibited a considerable non-proportional response pattern in reference to N level; that is, compounds which are reduced in the LN condition and have elevated levels upon a reduction treatment.
Furthermore, the proposed CNL model shows fundamental improvements over the MNL and NL models by capturing non-proportional substitution patterns.
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