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Fig. 1 | Biology Direct

Fig. 1

From: Modeling epigenetic regulation of PRC1 protein accumulation in the cell cycle

Fig. 1

Schematics of the models of asymmetric division. a Model of Kimmel et al. (1984). Birth-mass of a cell, represented by random variable (rv) X 0, determines both the mass at division, X 2, and the time, T, to division (cell-cycle duration): which considers the dynamics of the distribution of the total mass of cell RNA in a growing cell population. In that model, the birth-mass of a cell, represented by random variable (rv) X 0, determines both the mass at division, X 2, and the time, T, to division (cell-cycle duration): X 2 = ϕ(X 0), T = ψ(X 0). At division, the parent-cell mass is randomly split between the two progeny cells, according to the expression X 0 ' = UX 2, X 0 ' ' = (1 − U)X 2 in which the random variable U is independent of rv X 2, and it is distributed symmetrically over the interval (0, 1), so that E(U) = 1/2. Uneven partition of mass among progeny cells is the only source of randomness in the basic model. b Model of Kimmel (1997). Large particles (biological cells), follow a binary fission process. Each of the large particles is born containing a number of small particles (genes, proteins, viruses, organelles), which multiply or decay during the large particles lifetime. Small particles are then split between the two progeny of the large particle and the process continues in each of them

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