Later, there appeared other refinable functions that had been discovered, for instance, dual pseudo-splines [6, 7], pseudo-box splines [8], Battle-Lemarie refinable functions [9 11], Butterworth refinable functions [12, 13], pseudo-Butterworth refinable functions [14], generalized pseudo-Butterworth refinable functions [15], and so on.
Moreover, "highways" of HGT have been discovered, for instance, between hyperthermophilic bacteria and archaea [ 15- 18].
It seem that this approach is particularly well suited for revealing intricate and subtle dependencies, that may not be discovered using, for instance, ODE-based numerical simulations of a model.
The above implies that underlying functional themes that can not be discovered directly, for instance by studying conserved gene-associations of a particular regulator, may be discovered by mapping the associated functions at a higher hierarchical level (like pathways).
The pathway that is involved in this mechanism, regulating for instance TRPM6 expression, may be discovered in the near future.
For instance, for a SNP with frequency 0.2% to be discovered, over 2000 individuals need to be sequenced at 30× coverage (60,000 genomes).
It is worthwhile noticing that the multisummable structure of formal solutions to linear and nonlinear meromorphic ODEs has been discovered two decades ago, see for instance [10 15], but in the framework of PDEs very few results are known.
Several incidental sources were discovered and reviewed, for instance, a list of systematic reviews of herbal medicinal products published as a British Medical Journal 'web extra' [ 9].
In addition, restriction-modification systems have been discovered in Thermotoga, for instance, we have recently characterized a Thermotoga-specific Type II restriction-modification system [ 23].
However, also several known antibiotic compounds were re-discovered, for instance, S2753 produces holomycin [ 28], an antibiotic previously only isolated from terrestrial streptomycetes, and Vibrio coralliilyticus S2052 produces andrimid [ 28].
