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It is impractical to screen all possible drug combinations experimentally since there will be an exponential explosion when the number of single drugs increases.
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Indeed, there has been an exponential explosion in the ability to simultaneously interrogate the structure and function of the biology of cells, organs, and organisms, through omic technologies describing the genome, proteome, and metabolome, just to name a few, in health and disease.
And x = e⁻ᵗ would be an exponential decay.
The poor scalability is because of an exponential explosion in the number of longer paths, which in part is because of the scale-free nature of the network.
However, the issue with using reaction rules to find new paths is that there is a potential for an exponential explosion of results.
Thus, by changing the diameter, the strictness of reaction rules can be adjusted to prevent an exponential explosion of potential reactions.
The last century has seen an exponential explosion in engineering developments that would not have been possible without ceramics.
This will clearly lead to combinatorial explosion since the number of such combinations is an exponential function of the number of subspaces.
That's an exponential curve".
That's an exponential growth.
This is an exponential curve.
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CEO of Professional Science Editing for Scientists @ prosciediting.com