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The mathematical model confirmed the experimental findings whereby the fractal dimension of the clusters is size dependent, that is, larger systems are more discontinuous than smaller.
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These values and the mathematical model confirm that chemoselective reactions on the cell surface can deliver to cells similar numbers of molecules as antibodies.
First and foremost, the simulation result obtained from developed mathematical model confirms that thermal-runaway is retarded when the area of heat transfer is augmented in the cells of same volume and capacity.
Our mathematical model confirms the inhibitory synergy of succinate and hypoxia under physiologically-relevant conditions.
Our adopted mathematical model confirms that TC8 is replaced from the interface at low concentrations of monoglyceride.
Our mathematical model confirms bicarbonate acts as an effective agent to raise tumour pHe, but potentially induces metabolic alkalosis at the high doses necessary for tumour pHe normalisation.
Mathematical modeling confirms that the beneficial effects of aspirin are potentially so great that encouraging low-dose aspirin use in all 50-year-old subjects would reduce disability and double the chances of living a healthy life into old age (Morgan 2003).
Farmer and co-workers [ 12, 14] were the first to implement the original mathematical model and confirmed that a supracritical reaction network that keeps growing with accelerating speed arises above a certain catalytic probability P c.
Our mathematical model qualitatively confirms this observation (Fig. 4A).
Adequacy of obtained mathematical models was confirmed by ANOVA.
Thus, mathematical modeling has confirmed that the observed heterogeneity of soil properties is sufficient to explain the formation of a laterally heterogeneous thermal field within the studied soils.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com