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Figure 1 | Neural Development

Figure 1

From: Mathematical modeling supports substantial mouse neural progenitor cell death

Figure 1

Appropriate ventricular zone (VZ) output requires greater than 5% neural progenitor cell (NPC) death. (A, B) Two simple cell decision paradigms are used to identify a plausibility window and calculate viable levels of NPC death. Beginning at 'P' and following the arrows clockwise, in model DG1 (A) the NPC population Pi-1is doubled at the ithmitosis, then NPC death, 'D,' and differentiation, 'Q,' are imposed, so that the P population for the subsequent cell cycle (CC) is given by P i = 2(1 - d i - q i )Pi-1. (B) In model DG2 dying NPCs are removed from the NPC population prior to doubling the population, and P i = (1 - q i )2(1 - d i )Pi-1. (C, D) Model output from P0 = 550,000. VZ output (total Q cells, y-axis) is plotted after 11 CCs when the indicated fraction of NPCs die at each CC (Death, x-axis). The window of plausible VZ output, between 1 × 107 and 2.72 × 107, is indicated by dashed lines. (C) Using model DG1, the center of the plausible VZ output range (total Q cells = 1.86 × 107) corresponds to 19% NPC death, as indicated by the solid line that descends from plotted VZ output to the x-axis. (D) Similarly, the center of the plausibility window using model DG2 corresponds to 17% NPC death.

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