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As a matter of fact, population systems are often subject to environmental noise, i.e., due to environmental fluctuations, parameters involved in population models are not absolute constants, and they may fluctuate around some average values.
In fact, if we make a great number of records to investigate the dynamic behavior of a permanent population system, we may find that a single record may fluctuate around a fixed point even if the number of records is large.
We are interested in the uniform version of this model with (B^{0}_{i}=B^{0}) and (J^{0}_{i}=J^{0}) for all i; however, when this model is simulated by an AQS, the actual values of (B_{i}) and (J_{i}) may fluctuate around these nominal values.
In other words, the number of OR genes may fluctuate around the most appropriate number of the genes for a given species, and this fluctuation appears to be quite high if we consider the existence of a large number of pseudogenes in many species.
In a deterministic simulation, the level of the mRNA or protein remains fixed under basal conditions, but in a stochastic simulation, the levels may fluctuate around the mean value (compare Supplementary Figure 5 [available on the Arthritis & Rheumatology web site at http://online library.wiley.com/doi/10.1002/art.38297/abstract] with Figure 1).
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After adjustment, the SMRs of the patient view classes in our study will fluctuate around 93.
Water levels may fluctuate dramatically around cypress domes and strands, so cypresses develop "knees" that protrude from the water at high levels to provide oxygen for the root systems.
However, the levels of TNF in the environment around a cell may fluctuate randomly even when there is no immune response.
Although highly expressed proteins show low expression noise, even highly expressed yeast proteins may fluctuate in concentration by about 10% around their mean [ 41].
In contrast, studies using within-person designs have largely found that youth did not compensate their physical activity levels between [ 15, 16] or within [ 17– 19] days but typically have not accounted for 'person-level activity' (mean activity level of the individual), around which activity may fluctuate.
Around this mean, dipteran population R0 may fluctuate seasonally and annually over a much wider range due to the rapid effects of rainfall and temperature on reproduction and mortality rates.
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