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Extra info for Advances in Artificial Life: 9th European Conference, ECAL 2007, Lisbon, Portugal, September 10-14, 2007. Proceedings
Moreover, we formulated a type of division as Fig. 5 for simplicity and symmetry, but the two dividing schemes must have diﬀerent roles in natural systems, so they should be distinguished. One reason for these problems is that the formalism has no notion of volumes of cubicles. We will study this issue further. We believe the present approach will beneﬁcial for modelling and investigating a system in which many membranes interact with each other based on the biochemical composition of them, such as a system of organelles in a cell.
Thus, protocell level selection will prevent the progressive trend toward longer molecules and lower molecular replication ﬁdelity, described in section 5. Instead, while such protocell mutants will occasionally arise, on an ongoing basis, they will be consistently eliminated again. Figure 4 shows a test case to illustrate the robustness of this claim. The protocell population is initialised with equal numbers of two cell types. One is dominated by molecules 10 bits in length, the other by molecules of 11 bits in length, where the former is a substring of the latter.
3 Recombination Recombination rules deﬁne the interaction among v-molecules, and the division and merger of membranes. Cubicle rules deﬁne (i) the reaction among cubicle vmolecules (we call such rules internal rules), (ii) the reaction in which the both types of v-molecules (cubicle and membrane) are involved (mediating rules), (iii) the division of a membrane (dividing rules), and (iv) the merger of two membranes (merging rules). Membrane rules deﬁne the reaction between two membrane v-molecules.