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A detailed analysis of the experimentally observed scaling properties of the relevant physical quantities measured at the failure and the rupture points is provided.
We also present simulation results that recapitulate several other important features of the Bcd gradient, including the experimentally observed scaling properties of the Bcd gradient and the stability of nuclear Bcd concentrations between different nuclear cycles.
These two sets of analyses demonstrate that, with a simple assumption that the amount of bcd mRNA deposited into an egg is proportional to egg volume, our model can readily reproduce the experimentally observed scaling properties of the Bcd gradient.
This classical model of IL-2 cue-signal-response is insufficient to generate the experimentally observed scaling law (Equation 1; Figure 2H).
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The model performance was further tested by comparing simulated and observed scaled soil moisture.
The ratio of the observed scaled frequency from the sample to the mechanistic scaled frequency yields a component factor.
At the gel point, we observe scaling that is characteristic of a percolated network, G′∼ G′′∼ωΔ, but with an exponent that is lower than predicted by percolation, Δ=0.36.
In cases where h estimates for both observed and liability scales were reported, we used only h estimate on the observed scale (observed = raw, untransformed data; liability = transformed to underlying continuous scale, Roff 1997).
We see a good coincidence between the theoretically predicted and observed scales of the eddy field.
Observed scale sizes are on the order of 1 10λD with eφ/kTe up to O(1).
These results demonstrate that observed scale effects in ice pressure data can be explained by probabilistic aspects of fracture.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com