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note
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If R is the set of all possible reaction, a RAF set is defined as the subset R'⊆ R of reactions in which: (i) each reaction r ∈ R' is catalyzed by at least one molecule type involved in R' and (ii) all reactants and catalysts in R' can be created from the molecules whose presence is guaranteed (the so-called food set F) by using reactions only from R' itself. See [34] for a more detailed explanation.
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It should be observed that also periodic variations in the growth and duplication rates are compatible with a viable protocell population, provided that the variations are also synchronized (a phenomenon that was called supersynchronization in [5].
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Further novelties might be due to the interactions between different protocells, whose contents may differ (see Section 6 for a discussion on the role of heterogeneity in protocell populations). However, these novelties would be less radical than those discussed here; it has been argued that a system can be deemed truly evolvable only if it can accept some "true novelties" of the kind discussed in the text [17,27].
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note
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Or if it is capable to directly catalyze its own formation at a rate higher than those of the already existing ones; in this case the new irrRAF will replace the already existing ones.
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