Toy models for simple forms of multicellularity, soma and germ

Simple models for the development, maintenance, and origins of primitive, one- or two-dimensional "toy organisms" are presented. They are similar to cellular automata with the added combination of internal degrees of freedom that are genetically programmed. The growing rules are implementable by cellular mechanics, biochemistry and genetics. The forms that are dealt with are: sexual unicells, filaments with fragmentation, cell doublets with spore formation, filaments with differentiation of soma and germ, and two-dimensional colonies with early segregation of somatic cells and germ line. The minimum models presented help to understand the feasibility of several important evolutionary transitions. An explanation, supported by the models, for the fact that all three multicellular kingdoms are primarily sexual, is offered by the observation that sexuality in unicells is an excellent preadaptation for development, for the former entails programmed differentiation of cell types (relying in part on the action of homeobox genes), use of cell surface molecules, programmed arrest of cell division, etc. Relevant examples of existing biological systems are also presented.